AB and CD intersect at point E if measure angle AED equals 6x-24 and measure angle CEB equals 4y+32 find the values of x and y such that AB is perpendicular to CD
Answers
The values of x and y such that AB is perpendicular to CD will be 19 and 14.5.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
AB and CD intersect at point E.
If measure angle AED equals 6x – 24 and measure angle CEB equals 4y + 32.
Then the values of x and y such that AB is perpendicular to CD will be
6x – 24 = 90
6x = 114
x = 19
Then we have
4y + 32 = 90
4y = 58
y = 14.5
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ1
Related Questions
Prove Triangle ABC is congruent to Triangle CDA.
Answers
The triangle ABC and triangle CDA are congruent by AAS [Angle - Angle-Side] property.
What is the similarity?If two triangles are congruent, this means they are the same shape and the same size. By definition, all corresponding angles of two congruent triangles are congruent. Additionally, all corresponding sides of two congruent triangles are congruent.
In the given triangles we can see that:-
Angle BAC is congruent to Angle DCA Angle B and Angle D are congruent.The two triangles are sharing common side which is AC.Therefore we can see that the triangle ABC and triangle CDA are congruent by AAS [Angle - Angle-Side] property.
To know more about congruency follow
https://brainly.com/question/2938476
#SPJ1
A water wheel is designed in the shape of a regular octagon. What is the perimeter of the water wheel?
The graph shows an eight-sided polygon. Some major points are (0, 4), (3, 3), (4, 0), (3, minus 3), (0, minus 4), (minus 3, minus 3), (minus 4, 0), and (minus 3, 3).
A.
B.
C.
D.
Answers
Perimeter is the sum of the length of the sides used to make the given figure. The perimeter of the regular octagon is 8√58 units.
What is the perimeter?Perimeter is the sum of the length of the sides used to make the given figure.
For a regular octagon, the length of each side of the octagon is the same. Therefore, the length of a single side of the octagon is,
Length of the side of the octagon = √[(-4-3)² + (0 + 3)²] = √58
Now, the perimeter of the octagon is 8 times of√58.
Perimeter = 8 ×√58 = 8√58
Hence, the perimeter of the regular octagon is 8√58 units.
Learn more about Perimeter:
https://brainly.com/question/10466285
#SPJ1
The points (0, -8) and (10, 2) represent the endpoints of a diameter of a circle. Which of the following represents the equation of this circle?
Answers
Answer:
(x-5)²+(y+2)²=200.
Step-by-step explanation:
1) using the given coordinates it is possible to calculate
- the centre of the given circle:
[tex]x_0=\frac{10+0}{2}=5; \ y_0=\frac{2-8}{2}=-2;[/tex]
- the radius of the given circle:
[tex]r=\sqrt{(10-0)^2+(2+8)^2} =\sqrt{200} ;[/tex]
2) finally, the required equation (common form is (x-x₀)²+(y-y₀)²=r²):
(x-5)²+(y+2)²=200.
1 x 1 x 99 x 100 hat is the awnser
Answers
Step One: 1 x 1 = 1. Anything multiplied by one is the same number that was started with.
Step Two: 1 x 99 = 99. Again, anything multiplied by one is the same number that we started with, which in this case was 99.
Step Three: 99 x 100 = 9,900. Because 100 is a power of ten, we could easily find the solution by shifting the digits two places to the left to increase their value. However, if you would like to do it the long way, you could simply write out 100 x 99 and solve it.
Your final answer: 1 x 1 x 99 x 100 = 9,900.
An expression is shown below:
4ck2 + 10k2 − 16ck − 40k
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answers
Part A:
The greatest common factor is 2k
2k(2ck + 5k - 8c - 20)
Part B:
factor by grouping
2k (k(2c + 5) - 4(2c + 5))2k(k - 4)(2c + 5)2k(k - 4)(2c + 5) is the final factored form
Given: A = { -1,5,6} B = {-1,2,3,4,6,8} Find the union of sets A and B.
Answers
Step-by-step explanation:
{-1,2,3,4,5,6,8} is the answer
help me with this please i will gave u bralinet answer who ever answer first
Answers
Answer:
[tex]\fbox {5 times}[/tex]
Step-by-step explanation:
Days where both will be done :
⇒ 2nd day × 3rd day
⇒ 6th day
Number of times in September :
⇒ The month has 30 days
⇒ Number of times = 30/6
⇒ Number of times = 5
Answer:
5 times
Step-by-step explanation:
• Calculate the lowest common multiple (LCM) of 2 and 3 to find the first day of the month in which she will do both:
LCM (2 and 3) = 2 x 3
= 6
This means, she will do both every 6th day.
• There are 30 days in September. To find how many days she will do both in September, we have to calculate how many 6-day blocks there are in 30 days:
⇒ 30 ÷ 6
= 5 times
The legs of a 90-45-45 triangle are 3 and 7. What is the hypotenuse?
Answers
Answer:
The hypotenuse is [tex]\sqrt{58}[/tex]
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 + 7^2 = c^2
9 + 49 = c^2
58 = c^2
Taking the square root of each side
[tex]\sqrt{58} = \sqrt{c^2}[/tex]
[tex]\sqrt{58} =c[/tex]
Fine the IRQ of the data set. 11,13,9,4,6,5,8,10
PLEASE HELP!!!!!!!!!!!!!!
Answers
Answer:
5
Explanation:
Data Set : {11, 13, 9, 4, 6, 5, 8, 10}
Arrange ascendingly: {4, 5, 6, 8, 9, 10, 11, 13}
Quartiles:
Q1 --> 5.5Q2 --> 8.5Q3 --> 10.5Interquartile Range: Q3 - Q1 = 10.5 - 5.5 = 5
Proper ascending ordered set
{4,5,6,8,9,10,11,13}Q1
6+5/2=5.5Q3
11+10/2=10.5IRQ
Q3-Q1=10.5-5.5=510% of the library books in the fiction section are worn and need replacement. 20% of the nonfiction holdings are worn. The library's holdings are 60% fiction and 40% nonfiction. The probability to get a worn book is?
Answers
Answer: 14%
Step-by-step explanation:
Let's assume that there are 100 books in total.
So there are 60 fiction books and 40 nonfiction books.
10% of 60 is 6.
20% of 40 is 8.
So there are 14 books out of 100 that are worn.
This is 14%
given the following pyramid identify the L, P, and B then find the surface area
Answers
Answer:
slant length (l) = 7.5 m
perimeter of base P = 40 m
area of base B = 100 m^2
Surface Area = 250 m^2
Step-by-step explanation:
Surface area of a pyramid formula
1/2Pl + B
1/2 (40)(7.5) + 100
150 + 100 = 250 square meters
Find the value of c that makes the expression a perfect square trinomial. x2 + 9 4 x + c
A) 9/16
B) 9/64
C) 81/16
D) 81/64
Answers
The value of c is 81/64 for the expression a perfect square trinomial.
What is an Expression?An expression can be defined as a mathematical statement that consists of variables, constants and mathematical operators simultaneously.
It is given that an expression
x² +9/4x +c is a perfect square polynomial
c =?
(a+b)² = a² +2ab+b²
2ab = 9/4
b = 9/8
c = b² = 81/64
Therefore the value of c is 81/64 for the expression a perfect square trinomial.
To know more about Expression
https://brainly.com/question/14083225
#SPJ1
Normal annual capacity for star company is 36,000 machine hours, with fixed factory overhead budgeted as Rs. 16,920 and an estimated variable factory overhead rate of Rs. 2.10 per hour, During October actual production required 2,700 machine hours, with a total factory overhead of Rs. 7,400. Required: Compute: 1) The applied factory overhead 2) The over-or underapplied factory overhead amount for October,
Answers
The applied factory overhead is $6,939 and the over-or underapplied factory overhead amount for October is $461.
Applied and under applied factory overhead1. Applied factory overhead:
Predetermine overhead rate=Fixed overhead/Machine hours
Predetermine overhead rate=16,920/36,000
Predetermine overhead rate=0.47
Applied overhead=Machine hours×Rate
Variable=2700×2.10 per hour= $5,670
Fixed=2700×0.47 per hour=$1,269
Total overhead applied=$6,939
($5,670+$1,269)
2. Under applied overhead
Total overhead applied $6,939
Less Total factory overhead $7,400
Under applied overhead -$461
($6,939-$7,400)
Therefore the applied factory overhead is $6,939 and the over-or underapplied factory overhead amount for October is $461.
Learn more about Applied and under applied factory overhead here:https://brainly.com/question/24170451
#SPJ1
Question 1
The total length of a hiking trail in the mountains is 8 miles. If Dale and his son completed 4/5 of the trail yesterday, how many feet did they hike?
42,240 feet
22,528 feet
11,264 feet
33,792 feet
Answers
Answer:
33, 792
Step-by-step explanation:
first convert the 8 miles to feet because our answers are in feet.
1 mile= 5280 feet
therefore 8 miles= 5280×8
= 42240
Dale and son covered 4/5 of the 42240 feet
= 4/5×42240
= 33,782 feet
Solve for u. -5/6u = 15
Answers
Answer:
u = -18
Step-by-step explanation:
[tex]\frac{-5u}{6} =15[/tex]
Multiply both sides by 6.
-5u = 15 × 6
-5u = 90
Divide both sides by -5.
u = -18
A paramedic maintains a time card for hours she works on the rescue squad. How many hours did she work per week ?
Answers
39 hours; she works per week if the paramedic maintains a time card for hours she works on the rescue squad.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
A paramedic maintains a time card for the hours she works on the rescue squad shown in the table:
We can write a mixed fraction in a fraction:
6 1/2 = 13/2
8 1/2 = 33/2
7 3/4 = 31/4
8 1/12 = 97/12
8 5/12 = 101/12
Adding all the fractions:
[tex]=\rm \dfrac{13}{2}+\dfrac{33}{4}+\dfrac{31}{4}+\dfrac{97}{12}+\dfrac{101}{12}[/tex]
[tex]=\dfrac{13}{2}+\dfrac{64}{4}+\dfrac{198}{12}[/tex]
[tex]=23+\dfrac{64}{4}[/tex]
= 39 hours
Thus, 39 hours; she works per week if the paramedic maintains a time card for hours she works on the rescue squad.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ1
Kerry has a job that pays $1,954 biweekly. How much is withheld annually for Social Security?
$82.07
$41.03
$2,113.77
$88.91
$177.81
Answers
Answer:
hi
Step-by-step explanation:
no
What is the mode of 1,1,2,2,3,3,4,4
Answers
Answer: There is no mode.
Step-by-step explanation:
The mode is the number that appears the most in a given set of data. Each number in this data set is repeated twice. Therefore, there is no mode.
I hope this helped!! :)
Answer:
1, 2, 3, 4
or none
Step-by-step explanation:
Mode is the value or values in the data set that occurs most frequently.
example:
For the data set 1, 1, 2, 5, 6, 6, 9 the mode is 1 and also 6.
in 1, 1, 2, 2, 3, 3, 4, 4 all numbers occur the same amount of times, therefore they all (or none) are the mode
hope this helps:)
The probability that the number of students who will take the mathematics exam is 40 out of 50. What is the expressed as a percentage
Answers
Answer:
I think it's 80%
Step-by-step explanation:
Method 1: (40/50)*100 = 80%
Method 2: [tex]\frac{40*2}{50*2} = \frac{80}{100}[/tex] = 80%
If A=P+I make the subject as P
Answers
Answer:
[tex]P = A - I[/tex]
Step-by-step explanation:
A = P + I (Given)[tex]\implies P = A - I[/tex]Which statements are true about the ordered pair (-1,-4) and the system of equations? x-y=3 and 7x-y=-3
Answers
Answer:
when (-1, -4) is substituted into the first equation it's true
when (-1, -4) is substituted into the second equation it's true
the ordered pair (-1, -4) is a solution to the systems of equation
Step-by-step explanation:
original equation
x-y=3
multiply both sides by 7
7x-7y = 21
add 7y to both sides
7x=7y + 21
substitute into second equation
(7y+21)-y=-3
simplify
6y+21=-3
subtract 21 from both sides
6y=-24
y=-4
substitute y into original equation
x-(-4) = 3
cancel out negative signs
x+4=3
subtract -4 from both sides
x=-1
Bob has decided to make his move to his new house easier, so he is going to rent a truck to get it all moved in one trip. He is looking at two truck rental companies. U-Haul rents a 32 ft truck for $19.95 plus 49 cents per mile driven. The formula to calculate the cost with U-Haul is C = 19.95 + 0.49x, where x represents the number of miles driven. Penske rents a truck for 69 cents per mile but has no extra fees. The formula to calculate costs for Penske is C = 0.69x, where x represents miles driven. How many miles indicate that the cost of renting a truck from U-Haul is equal to the cost of renting a truck from Penske?
Answers
equation for Penske is C = 0.69x a)
cost of renting is equal equatin is
19.95 + 0.49x = 0.69x
b) solving the equation 19.95 + 0.49x = 0.69x
19.95 = 0.69x - 0.49x x=99.75
x=99.75
c) inequality is
19.95 + 0.49x > 0.69x
d) solving the inequality 19.95 > 0.2xx < 99.75
x<99.75
e)
U haul can be used if the miles driven is less than
99.75 miles
then it will be less expensive
What are the measures of ∠1 and ∠2? Show your work or explain your answers.
Answers
Answer:
angle 1 is 105degrees and angle 2 is 75degrees
Step-by-step explanation:
The angle below angle 2, presumably angle 6, is also 75 degrees since line c and line d are parallel. If angle 2 is 75 degrees then we know that angle 1 is 105 degrees since both angles equal a straight line and a straight line has 180 degrees.
What is the solution to the equation 7(a-10)=13-2(2a+3)?
26
O a=11
O a=7
89
O a = 11
O a=621
Answers
Answer:
[tex]a = 7[/tex]
Step-by-step explanation:
[tex]1. \: 7a - 70 = 13 - 4a - 6 \\ 2. \: 7a - 70 = - 4a + 7 \\ 3. \: 7a = - 4a + 7 + 70 \\ 4. \: 7a = - 4a + 77 \\ 5. \: 7a + 4a = 77 \\ 6. \: 11a = 77 \\ 7. \: a = \frac{77}{11} \\ 8. \: a = 7[/tex]
how do i solve this??
Answers
-6 ≤ x < -2
Step-by-step explanation:
[ => this shows ≤ sign
) => this shows < sign
1. Henry is working in a pack room. He is filling a bag with dry seasoning. The net weight of the bag is stated as 35
lbs. His tolerance is +/-5 lbs. Which of the following weights are allowable? Circle all allowable weights.
a. 34
b. 36
C. 29
d. 40
Answers
The allowable weights are 30 lbs and 40 lbs if the weight of the bag is 35 lbs option (d) is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have:
Henry is working in a packed room. He is filling a bag with dry seasoning. The net weight of the bag is stated as 35
lbs. His tolerance is +/-5 lbs.
Weight of the bag = 35 lbs
Tolerance = ± 5 lbs
Allowable weights = 35 ± 5
= 35 + 5 = 40 lbs
= 35 - 5 = 30 lbs
Thus, the allowable weights are 30 lbs and 40 lbs if the weight of the bag is 35 lbs option (d) is correct.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ1
Evaluate each expression for r=9 n t=14 enter in your numerical answer
Answers
Answer:
1764
Step-by-step explanation:
[tex]from \: the \: question \: rt {}^{2} \\ were \: r =9 \\ and \: t = 14 \\ rt {}^{2} = 9 \times (14) {}^{2} = 9 \times 196 = 1764[/tex]
Hii!
__________________________________________________________
[tex]\rightsquigarrow\circ\boldsymbol{Answer.}\circ \leftharpoonup[/tex]
1764
[tex]\rightsquigarrow\circ\boldsymbol{Explanation.}\circ\leftharpoonup[/tex]
Stick in the values: 9 for r and 14 for t, and simplify.
[tex]\twoheadrightarrow\sf 9\cdot14^2}[/tex]
[tex]\bullet[/tex] Square 14 first
[tex]\twoheadrightarrow\sf 9\cdot196}[/tex]
[tex]\bullet[/tex] Multiply the numbers
[tex]\twoheadrightarrow\sf 1764}[/tex]
[tex]\bullet[/tex] Great job! We found the answer
--
Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]
--
3x² - 2x + 1 = [?]
x=4
Answers
Answer:
3(4)² - 2(4) + 1 = 48 - 8 +1 = 41
x = 4
[tex] {3x}^{2} - 2x + 1 \\ \\ 3 \times {4}^{2} - 2 \times 4 + 1 \\ \\ 3 \times 16 -8 + 1 \\ \\ 48 - 8 + 1 \\ \\ 41.[/tex]
Can someone help me? I’ll give Brainliest to whoever answers correctly first
Answers
Answer:Angle C=68 degrees
Step-by-step explanation:
The solution is in the
there are 1,500 pupils in school , 0.6 are boys how many pupils are girls
Answers
Answer:
1491 girls (99.4 percent)
Step-by-step explanation:
explanation is in the attached picture