Question
Consider the diagram.
A triangle with interior angles labeled w degrees, x degrees, and y degrees. A ray extends to the left on the top side of the triangle to create an exterior angle labeled z degrees.
Which equations are true? Select all true equations.
Answers
Answer: 1, 2, 5
Step-by-step explanation:
The first equation is true because angles in a triangle add to 180 degrees.
The second equation is true because both sides equal 180 degrees (left hand side is a straight angle, right hand side is the sum of angles in a triangle)
The third equation is not true because z = 180 - y, and 180-y+w+z is not 180.
The fourth equation is not true because z=180-y, and 180-y=w+y is not always true.
The fifth equation is true by the exterior angle theorem.
Related Questions
help me please please
Answers
Answer:
answer is (1) 6yd 68 meter (2) 8dy 190 meter (3) 6yd 127 meter (4) 10 yd s
What is a possible value for the missing term of the geometric sequence?
43, ___, 688, ...
Answers
Answer:
172
Step-by-step explanation:
The formula for the missing term of a geometric sequence is the square root of x times y.
Solve but show all steps
x - 1/2=3
1/3y=50
Answers
Answer: x = 3 1/2, y = 150
Step-by-step explanation:
x-1/2 = 3
add 1/2 to both sides
x -1/2 (+1/2) = 3+1/2
x = 3 1/2
1/3y = 50
multiply by reciprical on both sides
3(1/3y) = 50(3)
y = 150
please help my last semester is ending in 4 days
(edmentum + 70 points)
Answers
Part 1
f(x) + g(x)
3x+2 + 4x
(3x+4x) + 2
7x+2
Therefore, f(x)+g(x) = 7x+2
================================================
Part 2
f(x) = 3x+2
f( g(x) ) = 3( g(x) ) + 2 ... replace every x with g(x)
f( g(x) ) = 3(4x) + 2 .... plug in g(x) = 4x
f( g(x) ) = 12x + 2
================================================
Part 3
Let's say x is the number of minutes.
Furthermore, let's say f(x) and g(x) are phone plan costs. Computing f(x)+g(x) will give the total cost of both plans combined. This is one example where it's useful to add the functions.
---------
As for a second example, let's say g(x) = 4x represents the total cost to fill up your car when you use x gallons of gas. The 4 out front means gas is $4 per gallon.
When we compute f( g(x) ) = 3*g(x) + 2, we could have 3 different cars that use the same amount of gas (x). The +2 at the end could be something like we have to pay $2 for parking.
Overall, f( g(x) ) = 12x + 2 is the total cost of filling up 3 cars and paying for the extra $2 parking.
Notice the output of g(x) is fed directly as the input of f(x). Think of it like a chain reaction.
This is one example of many where function composition is useful.
please help me........asap
Answers
Answer:
If I had to guess I would choose "a group of employees determined by a random number generator"
Kelsey had $65 to spend on books. Each book cost $5.50, and there was a $7.50 fee for shipping. She let b equal the number of books she can purchase and wrote the inequality 5.50 b + 7.5 less-than 65 to represent the situation. Which statements describe the reasoning used to determine if Kelsey’s inequality is correct? Select two options. The inequality symbol is correct because she must spend less than $65. The inequality symbol is incorrect because she can spend up to and including $65. The expression 5.50b + 7.5 is correct because $5.50 per book is 5.50b and that is added to the shipping fee of $7.50 to determine the total purchase price. The expression 5.50b + 7.5 is incorrect because $5.50 per book and $7.50 should be combined to $9.50b to determine the total purchase price. The inequality symbol is correct because she cannot spend more than $65. PLS NEED ASAP!!
Answers
Answer: Kelsey had $65 to spend on books. Each book cost $5.50, and there was a $7.50 fee for shipping. She let b equal the number of books she can purchase
Step-by-step explanation:
Answer:
its B and C
Step-by-step explanation:
Please help will give brainliest!
Area of a Polygon
In this unit, you learned about finding the area of triangles and rectangles using coordinates. But there are many more shapes than just triangles and rectangles, and these shapes often can be relatively complex. You can still find properties of such polygons by dividing them into an arrangement of simpler shapes—polygons that you’re familiar with.
When a two-dimensional figure is composed of smaller figures, its area is equal to the sum of the areas of the smaller figures. When finding the area of a polygon, it is helpful to know that any polygon can be partitioned into a series of triangles.
You will use GeoGebra to partition a polygon into a set of triangles. Go to partitioning a polygon, and complete each step below.
Part A
Draw line segments to partition the given polygons into triangles. There is more than one correct answer. Take a screenshot of your construction, save it, and insert the image in the space below.
Answers
Step-by-step explanation:
the area of a polygon is defined as the area that is enclosed by the boundary of the polygon / area =n*a*ri/2
If the central limit theorem is applicable, this means that the sampling distribution of a ___________ population can be treated as normal since the ______________ is _____________
Answers
The answers are Sample population and the Sample Size is Large Enough.
What are population and sample?It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.
If the central Limit Theorem is applicable, this means that the sampling distribution of a sample population can be treated as normal since the sample size is large enough.
Also, It asserts that the distribution of the average of the sum of many identically distributed and independent variables will be approximately normal, irrespective of the statistical properties.
Thus, the answers are Sample population and the Sample Size is Large Enough.
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HELP please! John has saved $ 3000 each year in his IRA for 25 years. At age 72, the
fair market value of his IRA was $ 321900.65. Using the uniform lifetime
table in this figure. What is his required minimum distribution.
A) $7500.00
B) $12574.24
C) $13290.76
D) $15309.87
Answers
Answer: I'm guessing C but im not sure
Step-by-step explanation:
[tex]\sf Solve\; it \;with \;steps:-[/tex]
[tex]\bf 5\left(2x+1\right)=6x+13[/tex]
~ Enjoy the things!
Answers
Hello ~
My name is Sxnnysoul, and I will be answering your question today! :D
→ Answer :-[tex]\sf{x \: = \: 2}[/tex]
→ Explanation :-[tex]\sf{Expand \: 5(2x \: + \: 1): \: 10x \: + \: 5}[/tex]
[tex]\sf{10x \: + \: 5 \: = \: 6x \: + \: 13}[/tex]
[tex]\sf{Subtract \: 5 \: from \: both \: sides:}[/tex]
[tex]\sf{10x \: + \: 5 \: - \: 5 \: = \: 6x \: + \: 13 \: - \: 5}[/tex]
[tex]\sf{Simplify:}[/tex]
[tex]\sf{10x \: = \: 6x \: + \: 8}[/tex]
[tex]\sf{Subtract \: 6x \: from \: both \: sides:}[/tex]
[tex]\sf{10x \: - \: 6x \: = \: 6x \: + \: 8 \: - \: 6x}[/tex]
[tex]\sf{Simplify:}[/tex]
[tex]\sf{4x \: = \: 8}[/tex]
[tex]\sf{Divide \: both \: sides \: by \: 4:}[/tex]
[tex]\sf{\frac{4x}{4} = \frac{8}{4}[/tex]
[tex]\sf{Simplify:}[/tex]
[tex]\sf{x \: = \: 2}[/tex]
Hope It Helps! ~
~Learn With Sxnnysoul ~
[tex]\underline{Answer :}[/tex]
ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ
Answer:
x = 2
Step-by-step explanation:
[tex]\sf 5(2x+1)=6x+13[/tex]
Let's apply the distributive property to multiply 5 by 2x+1.
[tex]\sf 10x+5=6x+13[/tex]
Subtract 6x from both sides.
[tex]\sf 10x+5-6x=13[/tex]
Combine like terms.
[tex]\sf 4x+5=13[/tex]
Subtract 5 from both sides.
[tex]\sf 4x=13-5[/tex]
[tex]\sf 4x=8[/tex]
Divide both sides by 4.
[tex]\sf x =\cfrac{8}{4} [/tex]
[tex]\sf x = 2[/tex]
A sector of a circle has a central angle of 150 ∘ . Find the area of the sector if the radius of the circle is 6 cm.
Answers
Answer:
[tex]A = 15\pi[/tex]
Step-by-step explanation:
1. 150 degrees is 5/12 of a circle
2. Find area but divide by 5/12:
[tex]A = \frac{5}{12} \pi (6)^2[/tex]
3. Solve
[tex]A = \frac{5}{12} \pi (36)[/tex]
4. Simplify
[tex]A = 15\pi[/tex]
I'm supposed to find the volume of a cube but the only number I am given is 6. Do I multiply 6 three times?
Answers
So in this case V= 6^3
V= 216
Help please!
Change the function f(x) = 2x² + 8x +5 into vertex form.
f(x) == 2(x+4)² +5
f(x) == 2(x+2)² +5
f(x) == 2(x+2)² −3
f(x) == 2(x+4)² - 27
Answers
Answer:
C) f(x) = 2(x+2)² - 3
Explanation:
Given function:
f(x) = 2x² + 8x +5
Vertex form: y = a(x - h)² + kFor this function:
⇒ y = 2x² + 8x + 5
⇒ y = 2(x² + 4x) + 5
⇒ y = 2(x + 2)² + 5 - 2(2)²
⇒ y = 2(x + 2)² - 3
plssssssss helpppppp
Answers
n box B there are 4 tablets more than in box A. Draw an expression for the number of tablets in box
Answers
Answer:
B=A+4
Step-by-step explanation:
since there are 4 more in box B you just have to add 4 to box A to get the number is box B
Nurse jackson examines immunization records for this past winter at the
school where she works.
got flu didn't get flu total
vaccinated
25
150
175
not vaccinated 60
65
125
total
85
215
300
how many students were not vaccinated and did not get the flu?
a. 65
b. 60
c. 150
d. 125
Answers
Answer:
a
Step-by-step explanation:
Answer:
A. 65
Step-by-step explanation:
Have a blessed day :)
One line passes through the points \blueD{(-6,0)}(−6,0)start color #11accd, left parenthesis, minus, 6, comma, 0, right parenthesis, end color #11accd and \blueD{(-4,6)}(−4,6)start color #11accd, left parenthesis, minus, 4, comma, 6, right parenthesis, end color #11accd. Another line passes through points \green{(5,-2)}(5,−2)start color #28ae7b, left parenthesis, 5, comma, minus, 2, right parenthesis, end color #28ae7b and \green{(8,7)}(8,7)start color #28ae7b, left parenthesis, 8, comma, 7, right parenthesis, end color #28ae7b.
Are the lines parallel, perpendicular, or neither? its khan academy
Answers
Answer:
paralell
Step-by-step explanation:
pleasee helpp asapp!!!
Answers
your friend evaluates the power (-3)^2 is your friend correct ? explain
Answers
The evaluation of the expression (-3)² is incorrect the correct answer will be (-3)²=+9.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using the signs like addition,substraction, multiplication and division.
Here we have an expression in the question:-
= (-3)² = (-3 x -3 ) = 9
So the answer of the question will be 9 because the multiplication of the two negative sign is always positive.
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I hate math with a burning passion
Answers
========================================================
Explanation:
Let's go through the answer choices one by one to see which are true, and which are false.
A) False. The three dots at the end of the given list of numbers tells us the pattern goes on forever. This sequence has infinitely many terms. B) True. The first four terms are -3, 5, -7, 9, showing that the fourth term is indeed 9.C) False. The fifth term is -11, and not 2. If it said f(2) = 5, then the statement would be true because the 2nd term is 5.D) True. The domain is {1, 2, 3, 4, ...} which are indexes for the term numbers. For example, the input n = 4 is part of the domain to get us to f(4) = 9. In other words, the input 4 leads to the output 9.E) True. The notation (4,9) is another way of saying "the 4th term is 9", which is equivalent to the notation f(4) = 9.is 9999 in the sequence n²+2n?
Answers
Answer:
No
Step-by-step explanation:
To find out, all we need to do is plug in 9999 into the sequence.
[tex]9999 = n^2 + 2n[/tex]
By completing the square, we get [tex](n+1)^2 = 1001[/tex]. 1001 is not a perfect square, which means that 9999 is not in the sequence.
hope this helped! :)
4) A movie poster was 3 inches wide and 9 inches tall. What is the perimeter of the poster?
Answers
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. 2 similar triangles. Triangle 1 has side lengths 16, 24, blank. Triangle 2 has side lengths 12, 18, blank. a. StartFraction 12 Over 24 EndFraction = StartFraction 18 Over 16 EndFraction = StartFraction 1 Over 2 EndFraction b. StartFraction 12 Over 18 EndFraction = StartFraction 16 Over 24 EndFraction = StartFraction 2 Over 3 EndFraction c. StartFraction 12 Over 16 EndFraction = StartFraction 18 Over 24 EndFraction = StartFraction 3 Over 4 EndFraction d. StartFraction 18 Over 12 EndFraction = StartFraction 24 Over 16 EndFraction = StartFraction 3 Over 2 EndFraction
Answers
The ratio of corresponding sides for the similar triangles and reduced to the lowest terms is; 3/4
How to find corresponding sides of a triangle?From the triangles in the attached file, we know that;
If triangle ABC is similar to triangle PQR, then the ratio of the corresponding sides are proportional.
Thus;
PQ/AB = QR/BC
Thus;
12/16 = 18/24 = 3/4
Thus, the ratio of corresponding sides is 3/4
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Answer:
It should be letter C.
StartFraction 12 Over 16 EndFraction = StartFraction 18 Over 24 EndFraction = StartFraction 3 Over 4 EndFraction
Step-by-step explanation:
This is going to be for edge 2022-2023
Drag the tiles to the correct boxes to complete the pairs. simplify the mathematical expressions to determine the product or quotient in scientific notation. round so the first factor goes to the tenths place. arrowright arrowright arrowright arrowright
Answers
The simplified mathematical expressions with the first factor to the nearest tenth are:
7.8 x 10
3.3 x [tex]10^{3}[/tex]
2.1 x [tex]10^{-3}[/tex]
3.7
What are the simplified mathematical expressions ?Scientific notation is used to simplify large numbers in smaller numbers. In order to write a number in scientific notation , the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
(8.6 x [tex]10^{7}[/tex]) . (9.1 x [tex]10^{-8}[/tex])
= (8.6 x 9.1) x [tex]10^{7 - 8}[/tex]
= 78.26 x[tex]10^{-1}[/tex]
= 7.8 x 10
(6.9 x [tex]10^{5}[/tex]) . (4.8 x [tex]10^{-3}[/tex])
= 33.12 x [tex]10^{5 - 3}[/tex]
3.3 x [tex]10^{3}[/tex]
(3.7 x [tex]10^{2}[/tex]) . (4.6 x [tex]10^{-3}[/tex]) ÷ (1.4 x [tex]10^{-6}[/tex]) . (5.7 x [tex]10^{8}[/tex])
= 1.7 x 10 ÷ 8 x10²
0.21 x [tex]10^{-2}[/tex]
2.1 x [tex]10^{-3}[/tex]
(3.1 x [tex]10^{5}[/tex]) . (5.3 x [tex]10^{-9}[/tex]) ÷ (7.3 x [tex]10^{2}[/tex]) . (6.1 x [tex]10^{-7}[/tex]) = 3.7
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pls help out and explain. 20 points!!
Answers
Answer:
First option is the correct answer
y = 4x + 5
Step-by-step explanation:
Hope it helps you in your learning process.
a number cube, with sides labeled 1-6, is rolled. Which is the theoretical probability of rolling a number less than 6, in simplest form? SHOW YOUR WORK
Answers
Step-by-step explanation:
There is 6 possibilities, 1 in 6 is cancelled, leaving 5/6.
Lakima has a spinner divided into 5 equal sections that are labeled 1 though 5. She wants to compare the theoretical probability and
the experimental probability of spinning an odd number. She spins the spinner 6 times and records the results in this list
{2, 4, 1, 5, 3, 4)
Drag and drop the answers into the boxes to correctly complete the sentences.
The theoretical probability of spinning an odd number is equal to
The experimental probability of spinning an odd
number is equal to
Therefore, the theoretical probability of spinning an odd number is
the
experimental probability of spinning an odd number
Answers
Using probability concepts, it is found that:
The theoretical probability of spinning an odd number is equal to 3/5 = 0.6.The experimental probability of spinning an odd number is equal to 1/2 = 0.5.Therefore, the theoretical probability of spinning an odd number is greater than the experimental probability of spinning an odd number.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
A theoretical probability is calculated without considering experiments, and we have that 3 out of the 5 numbers(1,3,5) and are odd, hence the theoretical probability is given by:
pT = 3/5 = 0.6.
For an experimental probability, we consider the experiments. Of the 6 spins, 3 resulted in an odd number, hence the experimental probability is given by:
p = 3/6 = 1/2 = 0.5.
Therefore, the theoretical probability of spinning an odd number is greater than the experimental probability of spinning an odd number.
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Answer:
3/5
1/2
greater than
Step-by-step explanation: I took the test
SOLVE THE LINEAR EQUATION...
PLEASE HELP!!
Answers
Answer:
0
Step-by-step explanation:
Greg is building a fence around his garden. For every 4 feet of fencing, the cost is $36.
Complete the table below showing the length of the fence and the cost. Length of fencing and cost
Answers
54 63 72 81 90
chord properties of a circles
Answers
Answer:
In a circle, when a line passes through the center of the circle and is perpendicular to a chord, the line will bisect the chord. In other words, the perpendicular bisector of a chord always passes through the center of the circle.
Step-by-step explanation: