Answer:
55
Step-by-step explanation:
In solving area for parralelegrams, you have to ingore the height, 40*15=55.
(Brainliest!)
Line WS is parallel to line KV. Line RT is perpendicular to line KV. Explain the relationship of line RT to line WS. Provide at least one reason to support your answer.
Please help fast! I'm being timed
Answer:
If [tex]\displaystyle\mathsf{\overline{WS}}[/tex] ║ [tex]\displaystyle\mathsf{\overline{KV}}[/tex], and [tex]\displaystyle\mathsf{\overline{KV}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{RT}}[/tex], then [tex]\displaystyle\mathsf{\overline{RT}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{WS}}[/tex]
Step-by-step explanation:
We are given the diagram of parallel lines, [tex]\displaystyle\mathsf{\overline{WS}}[/tex] and [tex]\displaystyle\mathsf{\overline{KV}}[/tex], which are intersected by line [tex]\displaystyle\mathsf{\overline{KV}}[/tex]. The prompt requires us to determine the relationship between [tex]\displaystyle\mathsf{\overline{RT}}[/tex] and [tex]\displaystyle\mathsf{\overline{RS}}[/tex].
Definitions:Parallel lines are non-intersecting lines that are coplanar and have the same slope.
Perpendicular lines: the intersection between two lines that form right angles. Perpendicular lines also have negative reciprocal slopes.
Transversal : a line that intersects at least two distinct coplanar lines in at least two or more definite points.
Explanation:We will use the given diagram and the following theorems/postulates to prove the relationship between lines [tex]\displaystyle\mathsf{\overline{RT}}[/tex] and [tex]\displaystyle\mathsf{\overline{WS}}[/tex].
The Parallel Postulate states that given line [tex]\displaystyle\mathsf{\overline{WS}}[/tex] and a point that is [tex]\displaystyle\sf\doubleunderline{\underline{\underline{not}}}[/tex] on line [tex]\displaystyle\mathsf{\overline{WS}}[/tex] , then there is exactly one line through that point that is parallel to line [tex]\displaystyle\mathsf{\overline{WS}}[/tex]. The Perpendicular Postulate states that given line [tex]\displaystyle\mathsf{\overline{KV}}[/tex] and point R that is not on line [tex]\displaystyle\mathsf{\overline{KV}}[/tex], then there is a definite line through point R that is perpendicular to line [tex]\displaystyle\mathsf{\overline{KV}}[/tex]. The Perpendicular Transversal Theorem states that given a transversal, [tex]\displaystyle\mathsf{\overline{RT}}[/tex], which is perpendicular to one of the parallel lines, [tex]\displaystyle\mathsf{\overline{WS}}[/tex], then it means that transversal [tex]\displaystyle\mathsf{\overline{RT}}[/tex] is also perpendicular to the other parallel line, [tex]\displaystyle\mathsf{\overline{KV}}[/tex].Now that we have established the necessary postulates and theorem, we can state that:
If [tex]\displaystyle\mathsf{\overline{WS}}[/tex] ║ [tex]\displaystyle\mathsf{\overline{KV}}[/tex], (Parallel Postulate) and [tex]\displaystyle\mathsf{\overline{KV}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{RT}}[/tex], (Perpendicular Transversal Theorem ), then [tex]\displaystyle\mathsf{\overline{RT}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{WS}}[/tex] (Perpendicular Postulate). ________________________Keywords:
Parallel Lines
Perpendicular lines
Perpendicular Transversal Theorem
____________________________
Learn more about this topic here:
https://brainly.com/question/19297387
In the year 2017, an estimated 4,347,000 people in this country are illiterate.
With new incentives and funding, the country is hoping to cut that nuber by
14% every year. How manny people do you predict will be illiterate in the year
2025?
The number of people of the country which is predicted will be illiterate in the year 2025 are 1,300,700.
What is percentage decrease?Percentage decrease is the amount deducted or reduced from the initial value in the percentage part.
In the year 2017, an estimated 4,347,000 people in this country are illiterate. With new incentives and funding, The country is hoping to cut that number by 14% every year.
Total year from 2017 to 2025 are 8 years. Thus, use the following formula of compound interest to find percentage decrease:
[tex]A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\[/tex]
Here, A is the final population, The initial population is P, the rate is r and the time period is t. Put the values,
[tex]A=4347000\times\left(1-\dfrac{14}{100}\right)^{8}\\A\approx1300700[/tex]
Thus, the number of people of the country which is predicted will be illiterate in the year 2025 are 1,300,700.
Learn more about the percentage decrease here;
https://brainly.com/question/11360390
#SPJ1
Triangle DEF is similar to triangle GHI. Find the measure of side IG. Round your answer to the nearest tenth if necessary.
The measure of side IG from similar triangles DEF and GHI is 34.8 units.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Two shapes are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. Hence:
IG/GH = FD/DE
x / 19 = 11/6
x = 34.8
The measure of side IG from similar triangles DEF and GHI is 34.8 units.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Brad and tom are comparing their classes scores on a math test . both of their classes had mean scores of 80 on the test, but brad's class had a range of 6 while tom's class had a range of 30 . if the highest possible score was 100, which class had the lowest score in it
Answer:
Tom's class had the lower score
Step-by-step explanation:
Because the range is larger for Tom's class than it is for Brad's class, it is rather likely that students in Tom's class did not do as well on the test than students in Brad's class did.
Find the lcm, of x, 2x, 3x
Since x, 2x, 3x contain numbers and variables, it takes two steps to find the LCM. Find the LCM for the numerical part 1; 2; 3; then find the LCM for the variable part x¹ ; x¹; x¹.
The LCM is the smallest number by which all numbers are divided without leaving a remainder.
List the prime factors of each number.Multiply each factor the greatest number of times that occurs in any of the numbers.The number 1 is not a prime number because it only has one positive factor, which is itself.
not cousin.
Since 2 has no divisors other than 1 and 2.
2 is a prime number.
Since 3 has no divisors other than 1 and 3.
3 is a prime number.
The least common multiple LCM of 1,2,3 is the result of multiplying all the prime factors the greatest number of times that appear in each term.
2 × 3
Multiply 2 by 3.
6
The factor for x¹ is x itself.
x¹ = x
The Least Common Multiple LCM of x¹ ; x¹; x¹ is the result of multiplying all the prime factors the greatest number of times that appear in each term.
x
The LCM for x;2x;3x is the numerical part 6 multiplied by the variable part.
6x ====> Answer
Give the following number
in Base 10.
1025 = [?]10
Enter the number that belongs in the green box.
Answer:
27
Step-by-step explanation:
Numbers can be converted to base 10 by writing them in expanded form.
__
102₅ = 1×5² +0×5 +2×1
= 25 +2
= 27₁₀
(-4s+9) + (4s-6) simplify
Step-by-step explanation:
[tex] = ( - 4s + 9) + (4s - 6)[/tex]
[tex] = - 4s + 9 + 4s - 6[/tex]
[tex] = - 4s + 4s +9 - 6[/tex]
Now subtract.....
[tex] = \boxed{\sf{3}}[/tex]
hence the answer is 3 ....
hope it helped !!!!
sorry would not let me copy and paste i need the answer to number 7
Step-by-step explanation:
well, what do we expect in theory ?
a coin has a 50/50 chance for beads or tails. so, a probability of 1/2 for either one.
the probability for a survival number in a die is 1/6.
remember, the probability is always desired results over total possible results.
so, the combination is a simple multiplication.
the probability to get a certain side of the coin AND a certain number on the die is
1/2 × 1/6 = 1/12
so, this is what we would expect in theory : every combination happens in 1/12 of all cases.
now, what do we see in our practical experiment ?
there were 24 events (so, the total possible results are 24).
how many of them had heads and a 3 (the desired results) ?
there was only 1 result (in fact, there was only one 3 independently from the coin result, which is surprisingly low for 24 rolls of a die).
so, our experiment shows us a ratio or experimental probability of
1/24
for the desired result of heads with a 3 on the die.
we expected to get a ratio of
1/12 = 2/24
so, in reality, we got 1/24 less than theoretically expected.
Write a factor that you can use to rationalize the denominator of √2/√5−8.
Write a factor that you can use to rationalize the denominator of √2/√5−8.
Answer: √5+8
The angle of elevation from a point 25 feet from the base of a tree on level ground to the top of the tree is 30°. Find the height of the tree.
•
A. 39.1 ft
•
B. 43.3 ft
•
C. 14.4 ft
•
D. 17.7 ft
Given
[tex] \text{Length of the tree= 25 feet} \\ \text{Angle of Elevation= 30°}[/tex]
To Find[tex] \text{Height Of The Tree}[/tex]
[tex] \text{Let The Height of the Tree be ‘x’}[/tex]
We Know:-
[tex] \tan\theta = \frac{ \text{perpendicular}}{ \text{base} }[/tex]
[tex] \tan \theta = \frac{ \text{height of the tree}}{ \text{length of the base}} \\ \\ \implies \tan30 = \frac{ \text{x}}{25} \\ \\ \implies \text{x }= 25 \times \tan30 \\ \\ \implies \text{x }= 25 \times 0.577 \\ \\ \implies \text{x} = 14.425 \\ \\ \implies \text{x} = 14.43[/tex]
[tex] \therefore \text{height of the tree(\text{x})} = \red{14.43 \: \text{feet}}[/tex]
Option C is the correct answer
Hope This Helps!!Please Hurry 70 Points
When given the diameter of a sphere, how can the volume be calculated? Describe the steps needed to find the volume.
Answer:
Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic metre.
Step-by-step explanation:
I am unable to figure out how Tyler is incorrect
Answer:
see below
Step-by-step explanation:
6 -2x + 5 +4x
Combine like terms
6 +5 -2x+4x
The 6 and 5 do not have x only the -2 and -4 have x with them
6+5 +x(4-2)
11 +2x
2. If you are paid time and a half for Saturday and double time for Sunday,
a) what is your overtime
pay for
the weekend? b) What is your total pay if you include the hours worked Monday through Friday (from #1
above)?
DATE
IN
OUT
IN
OUT
HOURS
Sat.
7:00 AN
11:30 AN
12:00 PM
4:00 PN
Sun.
8:15 AN
11:45 AM
12:15 PM
4:30 PM
I can't give the exact answer as the base pay and weekly hours arn't stated but here's how to solve letters in parentheses are place holders just plug in the numbers accordingly :)
Step-by-step explanation:
A.
figures needed, base pay (p) total hours worked (t) half
Saturday
p÷2= the ½ in time and a half (x)
p+x= 1 hr Saturday pay (s)
s+2= r (to cover the 30m)
7:00am to 11:30am 4hr 30m
12:00pm to 4:00pm 4hr
add them
8hr 30m
(s×8)+r= how much you were paid on Saturday
Sunday
p×2= h dubble pay
Calculate how many hrs worked on Sunday and apply the same logic as for Saturday appropriately divide the time if it doesn't come out as an even hour.
Final
Add Saturday and Sunday pay together to get weekend pay.
B.
Same formula hours worked times hourly pay.
Add the weekday and weekend pay together and thats pt B.
Hope this helps!
Calculate 51 + ( 6 + 3 x 2 ) ÷ 3
………………………………………
b) Work out (29 – 8) ÷ 32
………………………………………
c) Write the missing number to it correct.
6 + 5 x ………….. – 16 = 20
Answer:
a) 55 b)=21/32 c)x=6
Step-by-step explanation:
a)Follow the PEMDAS order of operations
Calculate within parentheses
(6 +3 x 2)
(6+6)
= 12
=51+ 12 ÷ 3
Multiply and divide (left to right)
12÷ 3=4
51 +4
Add and subtract (left to right)
51 + 4=55
B)
Follow the PEMDAS order of operations
29 – 8) ÷ 32
Calculate within parentheses
(29 – 8) =21
= 21 ÷32
Multiply and divide (left to right)
21 ÷32
=21/1× 1/32
=21/32
C)let the unknown be X
6+ 5× X- 16 = 20
Group like terms
5x +6- 16 = 20
Add/Subtract the numbers:
6- 16 = -10
5x - 10= 20
Add 10 to both sides
5x- 10 + 10 =20 + 10
Simplify
5x=30
Divide both sides by 5
5x/5=30/5
x=6
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{51 + ( 6 + 3 \times 2 ) \div 3}\\\\\mathsf{= 51 + \dfrac{6+ 3\times2}{3}}\\\\\mathsf{= 51 + \dfrac{6 + 6}{3}}\\\\\mathsf{= 51 + \dfrac{12}{3}}\\\\\mathsf{= 51 + 4}\\\\\mathsf{= 55}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{55}}}\huge\checkmark[/tex]
[tex]\mathsf{(29 - 8) \div 32}\\\\\mathsf{= \dfrac{29 - 8}{32}}\\\\\mathsf{= \dfrac{29 - 8}{32 - 0}}\\\\\mathsf{= \dfrac{21}{32}}\\\\\mathsf{= 21\div 32}\\\\\mathsf{= 0.65625}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{0.65625}}}\huge\checkmark[/tex]
[tex]\mathsf{6 + 5 \times p - 16 = 20}\\\mathsf{\rightarrow 6 + 5p - 16 = 20}\\\mathsf{\rightarrow 5p - 10 = 20}\\\text{ADD 10 to BOTH SIDES}\\\mathsf{5p - 10 + 10 = 20 + 10}\\\text{SIMPLIFY IT!}\\\mathsf{5p = 20 + 10}\\\mathsf{5p = 30}\\\text{DIVIDE 5 to BOTH SIDES}\\\mathsf{\dfrac{5p}{5}= \dfrac{30}{5}}\\\text{SIMPLIFY IT!}\\\mathsf{p = \dfrac{30}{5}}\\\mathsf{p = 6}\\\\\huge\text{Therefore, the answer is: \boxed{{\mathsf{6}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Lets check to make sure \#3 is correct!}\\\mathsf{6 + 5\times \bold{6} - 16}\\\mathsf{= 6 + 30 - 16}\\\mathsf{= 36 - 16}\\\mathsf{= 20}\\\\\huge\textsf{Thus, the answer in the blank IS: \boxed{\mathsf{6}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A cube is numbered 1 through 6. If the cube is rolled twice, how many of the possible outcomes will have two even numbers? 3 9 18 36
======================================================
Explanation:
3/6 = 1/2 of the numbers on the cube are even (2,4,6)
If we wanted both cubes to show an even number, then this comes up (1/2)*(1/2) = 1/4 of the time.
There are 6*6 = 36 outcomes total, so there are (1/4)*36 = 9 outcomes when both dice show an even number.
---------
Those nine outcomes are listed below
A = 2, B = 2A = 2, B = 4A = 2, B = 6A = 4, B = 2A = 4, B = 4A = 4, B = 6A = 6, B = 2A = 6, B = 4A = 6, B = 6You probably have noticed that A has 3 choices (2,4,6) and so does B. That gives 3*3 = 9 outcomes total. This is an alternative pathway compared to the previous section.
Use an identity to find the value of
Answer:
-sin Ф
Step-by-step explanation:
sin( O + 180) = sinФ cos180 + sin180 cosФ
= sin Ф * -1 + 0 * cos Ф
= -sin Ф
So
sin(Ø+180)sinØcos180+cosØsin180-sinØ+0-sinØDenise bikes 3 miles to her friend's house, and then she bikes home. The average rate biking to her friend's house is twice the average rate coming home. Write and simplify an expression for the time it takes Denise to make a round-trip in terms of the average rate coming home x. Hint : Use d = rt.
Using the relation between velocity, distance and time, it is found that the expression for the total time is given by:
[tex]t = \frac{9}{2x}[/tex]
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex].
Denise bikes 3 miles to her friend's house, hence:
[tex]v_1 = \frac{3}{t_1}[/tex]
[tex]t_1 = \frac{3}{v_1}[/tex]
The average rate biking to her friend's house is twice the average rate coming home, hence, on the return, [tex]v_2 = 0.5v_1[/tex]:
[tex]v_2 = \frac{3}{t_2}[/tex]
[tex]t_2 = \frac{3}{v_2}[/tex]
[tex]t_2 = \frac{3}{0.5v_1}[/tex]
[tex]t_2 = \frac{6}{v_1}[/tex]
The total time is given by, considering [tex]v_1 = 2v_2 = 2v = 2x[/tex], as we want to consider x the rate coming home:
[tex]t = t_1 + t_2[/tex]
[tex]t = \frac{3}{2x} + \frac{6}{2x}[/tex]
[tex]t = \frac{9}{2x}[/tex]
More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
#SPJ1
Which set of steps shows the solution to the equation 2y = −8? (5 points) Hint: Use inverse operations. What is the opposite of multiplication? a y = −8 − 2; y = 6 b y = −8 ÷ (−2); y = 4 c y = −8 ÷ 2; y = −4 d y = −8 − (−2); y = −6
What quadratic function has 13 and 2 as its zeros?
(write a quadratic function f whose zeros are 13 and 2.)
*please answer by today if available*
[tex]\text{The roots are 13 and 2.}\\\\\text{Now, the quadratic function,}\\\\~~~~~~~f(x) =x^2 -(13+2)x + (13)(2)\\\\\implies f(x)= x^2 -13x-2x + 26\\ \\\implies f(x) = x^2 -15x+26[/tex]
Joey's closet is unorganized and contains 7 black short-sleeve shirts, 4 black long-
sleeve shirts, 3 white short-sleeve shirts, and 7 white long-sleeve shirts. Joey picks one shirt
at random What is the probability that it is white OR a long-sleeve shirt?
Answer:
2/3
Step-by-step explanation:
3 + 7 + 4 = 14
14 + 7 = 21
14/21 = 2/3
the ordered pair R(-2,7) is translated 5 units to the right and down 2 units. which of the following descirbes the translation using translation notation
a (x-2,y+5
b (x + 2, y - 5
c (x - 5, y + 2
d (x + 5, y - 2
can someone help me with this question
Answer:
Step-by-step explanation:
im pretty sure its 16 or 17,
Answer:
[tex]12+x+4=16+x[/tex]
Step-by-step explanation:
A spinner Is divided into elght equal sections. Each section is labeled with one number, from 1-8. Maggle spins the
pointer on the spinner five times, each at a different speed. Four of the times the pointer lands on the section labeled 7.
Which statement BEST explains these results?
The section labeled 7 is slightly bigger than the other sections
The bottom of the spinner is not flat.
The section labeled 7 appears more than once on the spinner.
The pointer of the spinner is not balanced.
Answer:
Step-by-step explanation:
The bottom of the spinner is not flat.
pls help............
Answer:
a is 3 and b is 10 i am pretty sure
Step-by-step explanation:
If two triangles are congruent, which of the following statements must be
true? Check all that apply.
A. The corresponding sides of the triangles are congruent.
B. The corresponding angles of the triangles are congruent.
C. The triangles have the same size.
D. The triangles have the same shape.
Answer:
[A] The corresponding sides of the triangles are congruent.
[B] The corresponding angles of the triangles are congruent.
[C] The triangles have the same size.
[D] The triangles have the same shape.
Step-by-step explanation:
SAS which it is stands for {side, angle, side} and the meaning of SAS is that we have two triangles where we see two sides and the included angle are equal.
In Order for two triangles to be congruent must have the following below:
Two figures are said to be congruent if they have same size and same shape.If two figure are congruent that means the corresponding sides will also be congruent.If two figure are congruent that means the the corresponding angles will also be congruent.Hence, base on the given all the following are correct:
A. The corresponding sides of the triangles are congruent. √
B. The corresponding angles of the triangles are congruent. √
C. The triangles have the same size. √
D. The triangles have the same shape. √
Kavinsky
Answer:
A
Step-by-step explanation:
b/c the sides are corresponding and corresponding angles are always equal
A bag contains 5 red marbles, 6 blue marbles, and 9 green marbles. About how many red marbles would you expect to draw if you did 100 draws?
Answer: 25
Step-by-step explanation: Add all of the marbles, which is 20 in total, it is 5/20, so the ratio is 5:20
5:20 is 10:40, 15:60, 20:80, and 25:100
The answer is correct because 5:20 is 25% and 25/100 is also 25%
What is the midline of the function graphed below?
y = 1
y= 0.5
y = 0
y =2
The midline of the given graphed function for the y-coordinate is equal to y = 0.
The midline of a set of functions, you need to determine the average of their highest and lowest points.
For the functions represented in the graph,
y = 0.5.
The highest point is 0.5 for the graph.
y = -0.5
The lowest point is-0.5.
The midline of the set of functions is the average of their highest and lowest points.
Midline represented by a horizontal line.
Midline is the line that exactly passes through the midpoint of the highest and the lowest point.
Here on y-axis we have ,
Highest coordinate = 0.5
Lowest coordinate = -0.5
Midline point = ( highest point + lowest point ) / 2
Substitute the value we get,
⇒midline point = ( 0.5 + (-0.5))/ 2
⇒midline point = 0 /2
⇒midline point = 0
Therefore, the midline of the function of the graph is y = 0.
Learn more about function here
brainly.com/question/4637023
#SPJ1
a rectangular garden has a width of 1.2 meters
Answer:
? anything else or..
Step-by-step explanation:
this cylindrical fish tank has a height of 38 inches and diameter of 26 inches. what is the volume of the fish tank.
Answer:
using π as 3.14: 20165.08 cubic inches
in terms of π: 6422π cubic inches
Step-by-step explanation:
» Concepts
The volume of a cylinder is how much space the cylinder can take inside of it. The formula to find this volume is πr²h, where r = radius and h = height. In addition, it's important to know that the radius is half the diameter.
» Application
We're given the radius as 13 inches (26/2 = 13), and the height is 38 inches. Now, we just have to plug in the values and simplify.
» Solution
Using π as 3.14:
[tex]3.14*13^2*38[/tex] [tex]3.14*169*38[/tex][tex]20165.08[/tex]In terms of π:
[tex]\pi *169*38[/tex] [tex]6422\pi[/tex]what does 5 times the quotient of 3 and a number look like
Answer:
5 times the quotient of 3 ----> 5*(x/3)
a number look like ------> 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, ....., 10000, ......, 10000000, ............