Given: m || CB Prove: m∠ABC + m∠BAC + m∠ACB = 180° A triangle and line are shown. Line m contains points X and Y. Triangle A B C sits on line M at point A. Line m and line segment B C are parallel. Which statement justifies that angle XAB is congruent to angle ABC? Corresponding angles of parallel lines cut by a transversal are congruent. Vertical angles are congruent. Same-side interior angles of parallel lines cut by a transversal are supplementary. Alternate interior angles of parallel lines cut by a transversal are congruent.

Answers

Answer 1

Answer: D, Alternate interior angles of parallel lines cut by a transversal are congruent

Step-by-step explanation:

Answer 2

Answer:

its D

Step-by-step explanation:


Related Questions

What is the length of the unknown side?

Answers

Answer:

20!

Step-by-step explanation:

3. A student wrote a book which she plans to sell online for $13 per copy. Her total expenses were $85. Which function can be used to find the profit in dollars, d, when the student sells C, copies of the book?​

Answers

Answer:

Her profit in dollars is;

d = 13c - 85

Step-by-step explanation:

Mathematically,

profit = sales - cost price

She sells at $13 per copy

so for c copies, total sales amount will be 13 * c= $13c

So the profit d in dollars will be;

d = 13c - 85

Andre and Elena knew that after 28 days they would have 2²⁸ coins, but they wanted to find out how many coins that actually is. Andre wrote: 2 28 = 56. Elena said, "No, exponents mean repeated multiplication. It should be 28 28, which works out to be 784." Do you agree with either of them? Explain your reasoning.

Answers

Answer:

I agree with none of them

Step-by-step explanation:

Given

[tex]Expression= 2^{28}[/tex]

[tex]Andre: 2 * 28 = 56[/tex]

[tex]Elena: 28 * 28 = 756[/tex]

Required

Who is correct?

[tex]Expression= 2^{28}[/tex]

When we apply law of indices to the above, it gives 2 multiplies by itself in 28 places

i.e.

[tex]Expression= 2^{28}[/tex]

[tex]Expression= 2*2*2*..........*2[/tex] ---- in 28 places

Andre's interpretation of the expression is incorrect as:

[tex]2^{28} \neq 56[/tex]

Also, Elena's expression is incorrect.

This is so, because

[tex]2^28 \neq 28*28[/tex]

Hence, both of them are incorrect and I agree with none of them

The lifespans of zebras in a particular zoo are normally distributed. The average zebra lives
20.5 point, 5 years; the standard deviation is
3.9
3.93, point, 9 years.
Use the empirical rule
(
68

95

99.7
%
)
(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a zebra living less than
32.2
32.232, point, 2 years.

Answers

Answer:

3

Step-by-step explanation:

(-3,7), (3,3) write in standard form

Answers

Answer:

3x−y=2

Step-by-step explanation:

Ryan and Sarah collect baseball cards. Ryan has 150 baseball cards and collects 10 cards per week. Sarah has 200 baseball cards and collects 5 cards per week. After how many weeks will Ryan and Sarah have the same number of cards?​

Answers

Answer:

i need help on this question too

Step-by-step explanation:

Answer:

I think X=10 but im not for sure.

Step-by-step explanation:

150 (X+10) = 200 (X+5)

150x+1500   200X+1000

-150X            -150X

1500               50X+1000

-1000                      -1000

500                50X

50                   50

10=X

What is the absolute value of -250?

Answers

Answer:

250

Step-by-step explanation:

Pretty much every time it asks for the abasloute value it just asks how much to get the zero on the number line. It will ALWAYS be positive. For example -5 will be 5 to get to zero on the numberline. Same thing with a positive 5.

5)A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.

Answers

Answer: your Answer is $75 dollars.

Step-by-step explanation:

$25 + $50 = $75

Answer:

[tex]C = 50x + 25[/tex]

Step-by-step explanation:

The $50 charge can be interpreted as the slope, as it varies based on the amount of time the service takes. The $25 can be interpreted as the y-intercept, as you'll get charged $25 no matter how long the service takes. Thus, we can plug these values into the slope-intercept form equation.

[tex]y = mx + b\\C = 50x + 25[/tex]

Given the table, explain how to find the slope of the linear function

Answers

Answer:

Slope is 3

Step-by-step explanation:

y2 - y1/x2 - x1 = m

6 - 12/0 - 2 = m

-6/-2 = m

3 = m

Pls brainliest

10. At a certain company, the average starting salary s for a new worker is $25,000. The actual
salary has an absolute deviation of at most $1800. Write and solve an inequality to find the
range of the starting salaries.
Copyright © Big Ideas Learning, LLC
Integrated Mathematics 1
57

Answers

Answer:

Step-by-step explanation:

Let 'x' represent the actual salary.

|x - 25,000| <= 1800

- 1,800 <= x - 25,000 <= 1,800

25,000 - 1,800 <= x <= 25,000 + 1,800

23,200 <= x <= 26,800

The range of the salary is the closed interval [23,200, 26,800].


Write the inequality graphed below. Use "x" as your variable



Answers

Answer:

x is greater than or equal to 3. x > 3

Step-by-step explanation:

if n represents a number, write an expression that represents a number that is 5 less than n.

Answers

n-5

less than implies subtraction after the variable

what does x equal in x= x^2-12x+36

Answers

Answer:

x=4, x=9

Step-by-step explanation:

If x equals x^2-12x+36, x can equal 4 or 9. You may have to enter both answers.

Pls who knows how to do this

Answers

Answer:

I think 31° is the answer

Find the 15th term of the geometric sequence 2, 6, 18,...

Answers

Answer:

          a₁₅ = 9 565 938

Step-by-step explanation:

6÷2 = 3  and   18÷6 = 3  so:  q = 3

[tex]a_n=a_1\cdot q^{n-1}\\\\a_1=2\\q=3\\n=15\\\\a_{15}=2\cdot3^{15-1}\\\\a_{15}=2\cdot3^{14}\\\\a_{15}=9\,565\,938[/tex]

Answer:

9 565 938

Step-by-step explanation:

Find y if 3х + 4y = 1

Answers

Answer:

y=1/4-3/4y

Step-by-step explanation:

rearrange the equation

4y=1-3x

divide both sides by 4 to get the value of y

Answer:

y = 1/4

Step-by-step explanation

Find Y set x=0

3(0)+4y = 1

        4y = 1

         y  = 1/4

Sum of Angles
Find the value of x and the measure of every angle.
It is Geometry

Answers

Answer:

If the sum of a triangle equals 180 degrees we’ll go off of that by doing this.

(7x+8)+(5x+2)+(7x-1)=180
7x+8+5x+2+7x-1=180
19x+9=180
19x=180-9
19x=171
19x/19=171/19
x=9

With that let’s find each angle,

I’ll just label them A, B, C.

A: (7x+8)
7(9)+8
63+8=71

B: (7x-1)
7(9)-1
63-1=62

C: (5x+2)
5(9)+2
45+2=47

71+62+47=180

A manufacturer claims that the mean lifetime of its lithium batteries is 1200 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1180 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use ΅ = 0.05. Round the test statistic to the nearest thousandth.

Answers

Answer:

Since p is > α we fail to reject the Null as the result is not significant at α = 0.05

Step-by-step explanation:

Given that:

Mean lifetime (m) = 1200

Sample size (n) = 25

Sample mean (x) = 1180

Standard deviation (s) = 80

α = 0.05

The null hypothesis :

H0 : m = 1200

Alternative hypothesis : m ≠1200

The t statistic :

(x - m) / (s/√n)

(1180 - 1200) / (80 / √25)

-20 / (80/5)

= - 1.250

P value = 0.10565 ( p value calculator)

Reject Null hypothesis if p > α

At α = 0.05

Since p is > α we fail to reject the Null as the result is not significant at α = 0.05

With a two-year agreement, Sarah can add up to 4 lines for $9.99 each. Her first monthly bill totals 89.96. Sarah did not exceed the "anytime minutes" limit and did not engage in "text messaging". How many lines did she add to her plan? Write an equation, and then solve.​

Answers

Answer:

The answer is 267.

Step-by-step explanation:

If we wanted to represent this scenario as an equation, it would be 22.40-14+.5x (x being the amount of texts after 250). We are using PEMDAS, but because the variable is unknown, we skip multiplication and just go left to right. 22.40 - 14 = 8.40. With 8.40, we now know how much it costed AFTER 250 messages (how much she owes after $14). If we want to find how many PER 50 cents, we have to DIVIDE (reverse of multiplication). 8.4 / .5 = 16.80. Because you can't send .8 of a text message, you round to get 17. 250 + 17 = 267 (messages sent that month).

Therefore the answer is 267 (250 + 17)

The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.

(a) What is the distance from the sun to Venus written in scientific notation?

• [Please make sure to include your units]

(b) What is the diameter of a human hair written in scientific notation?

• [Please make sure to include your units]

(c) In comparing the measurements in Parts (a) and (b), what else must be done before a comparison is made?

Answers

Step-by-step explanation:

It is given that,

The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.

(a) In scientifc notation, the distance from the Sun to Venus will be :

There are 8 numbers before 1. It means

d = 1.08 × 10⁸ km

(b) In scientific notation, the diameter of a human hair will be :

There are 3 numbers after decimal. It means

D = 2.5× 10⁻³ mm

(c) Before comparing two measurements, both values must be converted into the same units.

Since, 1 mm = 10⁻⁶ km

D = 2.5× 10⁻³ × 10⁻⁶ km

= 2.5 × 10⁻⁹ km

For comparison divide the distance from the Sun to Venus and the diameter of a human hair.

[tex]C=\dfrac{1.08\times 10^8\ km}{2.5\times 10^{-9}\ km}\\\\=4.32\times 10^{16}[/tex]

Hence, this is the required solution.

A number times 7 is at least the number plus 6.6.
Write the inequality.

Answers

Answer:

7x ≥ x + 6

A number signifies x.

Replace "a number" with x and then write out the inequality.

sorry if this is your second time answering or seeing this but my ads arent loading.

forty five children attend a preschool the number of two year olds is one half the number of three year olds the number of four year olds is the same as the number of three year olds
how many two year olds attend
how many three year olds attend
how many four year olds attend

Answers

Answer:

a=9

b=18

c=18

18+18+9=45 total children

The coordinates of three vertices of a square are (1, –1), (6, –1), and (6, 4). Fill in each blank to make the statement true. What is the area of the square?

Answers

Answer:

25units²

Step-by-step explanation:

Given the coordinates of three vertices of a square as A(1, –1), B(6, –1), and C(6, 4). The area of the square is expressed as;

A = L² where;

L is the one of the side length of the square.

Note that all the sides of a square are equal;

To get one of the side length, we will find the distance between any two of the coordinates points. Using the coordinates A(1, –1), B(6, –1)

L = AB = √(x2-x1)²+(y2-y1)²

L = √(6-1)²+(-1-(-1))²

L = √5²+0²

L = √25

L = 5

Area of the square = 5²

Area of the square = 25units²

Hence the area of the square is 25units²

I forgot how to simplify like this can someone explain to me how i do this?

Answers

Answer:

Just subtract 11 from 7.

Answer:

-4

Step-by-step explanation:

5x + 2y = 9
-6x - 2y = -14

Answers

Answer:

What are you suppose to be finding? I am confused finding the value of x??

Step-by-step explanation:

How do you solve (3×-2)^3

Answers

Answer:

the answer should be -216

Please help me out with this picture.(#3a, #3b, and #3c)

Answers

Answer:

all are in the picture I attached

Step-by-step explanation:

hope this helps


What is the slope of the line passing through the points (-6, 33) and (-2, 15)?

Please answer quick

Answers

Answer:

The slope is -9/2

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=15-33/(-2)-(-6)

m=-18/4

m=-9/2

One of these graphs is of a cubic function which one is it ?
please helpp help I will be grounded if I don't get all of my answers. I will give brainleist​

Answers

Answer:

D is the answer

Step-by-step explanation:

:)

PLEASE HELP
Write equations of the horizontal and vertical lines that pass through the given
point.
12. (-3,-4)
Horizontal line:
Vertical line:

Answers

Answer:

horizontal line: y=-4

vertical line: x=-3

Step-by-step explanation:

This one is simple. all you need to do is look at the x and y in the ordered pair.

Horizontal goes left and right so it's for y

Vertical goes up and down so it's for x

let me know if you need more explaining :)

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