Mathematics College

Which angles represent alternate interior angles?

Question 21 options:

G and H

A and D

B and H

C and F

Answers

Answer 1

Answer:

A and D

Step-by-step explanation:

Alternate interior angles are the angles formed when a transversal intersects two coplanar lines.

Answer 2

A and D

If two parallel lines are transacted by a third line the angles which are Inside the parallel lines and on alternate sides of the third line are called alternate interior

Related Questions

A radio telescope has a parabolic surface, as shown below.

A parabola opening up with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 9 meters and its width from left to right is 12 meters.

If the telescope is 9 m deep and 12 m wide, how far is the focus from the vertex?

Answers

OK, so the graph is a parabola, with points x=0,y=0; x=6,y=-9; and x=12,y=0

Because the roots of the equation are 0 and 12, we know the formula is therefore of the form

y = ax(x - 12), for some a

So put in x = 6

-9 = 6a(-6)

9 = 36a

a = 1/4

So the parabola has a curve y = x(x-12) / 4, which can also be written y = 0.25x² - 3x

The gradient of this is dy/dx = 0.5x - 3

The key property of a parabolic dish is that it focuses radio waves travelling parallel to the y axis to a single point. So we should arrive at the same focal point no matter what point we chose to look at. So we can pick any point we like - e.g. the point x = 4, y = -8

Gradient of the parabolic mirror at x = 4 is -1

So the gradient of the normal to the mirror at x = 4 is therefore 1.

Radio waves initially travelling vertically downwards are reflected about the normal - which has a gradient of 1, so they're reflected so that they are travelling horizontally. So they arrive parallel to the y axis, and leave parallel to the x axis.

So the focal point is at y = -8, i.e. 1 metre above the back of the dish.

(1/5) ³
evaluate

pls help :)

Answers

0.008

1/5 x 1/5 x 1/5

It will be 1/5 times 1/5 times 1/5
:3

What is the volume of the right rectangular prism?

a) 21cm^3
b) 42cm^3
c) 120cm^3
d) 240cm^3

Answers

Answer:

c part is correct answer

Answer: D) 240 cm^3

Step-by-step explanation:

On edge

Which statement best describes the relationship between the two figures?

Answers

Answer:

The congruency of triangle is the statement that describes the relationship between two figures Step-by-step explanation:

SOMEONE HELP ME WITH THIS QUESTION PLEASE!!!!

Answers

Answer:

E(-2, -1.5)

Step-by-step explanation:

Coordinates of the points C and D:

C(1, 6), D(-3, -4)

The point E has coordinates of (x, y).

The point E is at 3/4 of CD from C and 1/4 of CD from the point D.

Find coordinates of E:

x = -3 + 1/4(1 + 3) = -3 + 1 = -2y = -4 + 1/4(6 + 4) = -4 + 2.5 = -1.5

A triangle has an area of 400 square inches. The length of the base of the triangle is 10 inches. What is the height of the triangle?

Answers

Answer:

80 in

Step-by-step explanation:

A = 1/2bh

400 = 1/2(10)h

400 = 5h

h = 80

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

In a mathematics class , half of the students scored 84 on an achievement test. With the exception of a few students who scored 50 , the remaining students scored 76. Which of the following statements is true about the distribution of scores ?

A. The mean is greater than the mode.
B. The mean and the median are the same.
C. The mean is less than the median.
D. The mean is greater than the median.

Answers

Answer: B. The mean is less than the median

Step-by-step explanation:

there are some that scored 51 which means - mean<median

In a party of 60 people, 35 had vanilla ice-cream, 35 had chocolate ice-cream. All the people has at least one ice cream then how many of them had i) both vanilla and chocolate ice-cream ii) only Vanilla ice-cream iii) Only chocolate ice-cream

Answers

Step-by-step explanation:

[tex]its \: your \: answer \: I \: hope \: it's \: help \: you \: \\ dear[/tex]

I need help please please help me )):

Answers

Answer:

ok bro I will help you don't worry

The number 10 lies between what two integers?

Answers

Answer:

9 and 11

Step-by-step explanation:

9 and 11 are before and after 10. so, 10 lies between them.

Please let me know fast

Answers

Answer:

b) 0

Step-by-step explanation:

[tex]a(b-c)+b(c-a)+c(a-b)\\\\ab-ac+bc-ba+ca-cb\\\\0[/tex]

Plz help me W/ theses with steps

Answers

Answer:

68 blue marbles are there.

Answer:

Blue marbles are 100.

Step-by-step explanation:

Number of red marbles=252 × 2/7

Number of red marbles=72

Remaining marbles=252-72

Remaining marbles=180

Now,

Number of green marbles=180×4/9

Number of green marbles=80

Reaminng marbles which are blue=100-80

=100

If you have any questions about it let me know.

please help with the screenshot

Answers

Answer:

7.5

Step-by-step explanation:

Triangles: RST and RPQ are similar so

Triangle RST has 12.5 and x

Triangle RPQ has 20 (comes from 12.5+7.5) and x+4.5

Therefore you divide

x/x+4.5 = 12.5/20

20x= 12.5x+56.25

7.5x=56.25

x=7.5

help pls, i dont get this :(

Answers

Answer:b. a deposit of $278 followed by a withdrawal of $278

Step-by-step explanation:

use a calculator

An alphabetic character representing a number

Answers

Answer:

a variable

Step-by-step explanation:

The answer is a variable because it's a letter that stands in place of a number

Answer:

simply refers to the type of Latin and Arabic characters representing the numbers 0 - 9, the letters A - Z

John is playing a game with a standard deck of playing cards. He wants to draw a jack on the first try. Which of the following statements is true?

a. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack increases.
b. The probability that John draws a jack on the first try is 3/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack stays the same.
c. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack decreases.
d. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack stays the same.

Answers

Answer:

Step-by-step explanation:

It is a 1/13 chance but even if you shuffle and replace it, its still a 1/13 chance.

The probability that John draws a jack on the first try is 1/13. If John replaces the card, re-shuffles, and draws again, the probability that he will pull another jack stays the same. Hence, statement d is correct.

What do we mean by the probability of an event?

The probability of an event is the ratio of the number of favorable outcomes to the event to the total number of outcomes for the experiment.

If we have an event A, the number of favorable outcomes to event A is n, and the total number of outcomes in the experiment is S, then the probability of the event A is given by,

P(A) = n/S.

How do we solve the given question?

We are given that John is playing a game with a standard deck of playing cards.

We are said that he wants to try to draw a jack on the first try.

Let the event of drawing a jack be A.

The number of outcomes favorable to the event A (n) = 4 (number of jacks)

The total number of outcomes in the experiment of drawing a card (S) = 52 (the total number of cards)

∴ The probability of the event A is given by,

P(A) = n/S = 4/52 = 1/13.

∴ The probability of drawing a jack on the first try is 1/13.

When he replaces the card and re-shuffles it, the probability will be the same as the number of favorable outcomes and the total number of outcomes remains the same.

∴ The probability that John draws a jack on the first try is 1/13. If John replaces the card, re-shuffles, and draws again, the probability that he will pull another jack stays the same. Hence, statement d is correct.

Learn more about the probability of an event at

https://brainly.com/question/7965468

#SPJ2

To pay for a 15,300 car, Tony made a down payment of $3900 and took out a loan for the rest. On the loan , he paid monthly payment payment of $252.34 for 4 years.

Answers

Answer:

a. $24,512.32

b. $712.32

Step-by-step explanation:

a. A price of car $15,300, Tony made a down payment of $3900 so car has $11,400 left of a price and took out a loan.

He paid monthly payments of $252.34 for 4 years. Which mean $252.34 is paid for 48 months, multiplication $252.34 and 48 are $12,112.32. So we have monthly payments is $12,112.32

The total amount Tony ended up for the car is $11,400 + $12,112.32 = $24,512.32

b. The interest Tony pay on the loan is $12,112.32 - $11,400 = $712.32

An elevator was on the 23rd floor. It
then went down 7 floors and then
another 4 floors. What floor was the
elevator on now?

Answers

Answer:

The 12th floor

Answer:

12th floor

Step-by-step explanation:

4+7 = 11

23-11 = 12

Simplify the expression. 3(7) – 3(3)

Answers

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex]3\times 7-3\times 3[/tex]

This term's numerical factors have been multiplied:-

[tex]=12[/tex]

OAmalOHopeO

Simplify.

2 × (3 – 1) + 3

7
8
10
11

Answers

Answer:

Step-by-step explanation:

2 × (3 – 1) + 3 (First Brackets)

= 2 × 2 + 3 (Second Multiplication )

= 4 + 3 (At last add)

= 7 (Ans)

The manager at a computer recycling plant says it takes workers a minimum of 120 seconds to break down a computer monitor. The exact amount of time depends on the number of screws in the computer that must be removed. It takes 10 seconds to remove each screw, and then an additional 30 seconds to sort the computer parts into their appropriate containers for recycling. Write an inequality that determines the minimum number of screws that are in each computer monitor.

Answers

Answer: 120 + 10s + 30

Step-by-step explanation:

120 + 10s + 30

let "s" be the amount of screws

The area of this shape is 24 square units. Which of these statements is true about the area ?

Answers

D.

Because the area of an object is number of square units or square grids inside the shape.

Answer:

Step-by-step explanation:

What is the LCM for 18,24

Answers

Answer:

I think the LCM is 72 for 18 and 24

Answer:

hope it helps you........

What is the differentiation of 2cos2x

Answers

2cos2x=y

dy/dx(2cos2x)=-4sin2x

d/du cosu= u'×cos'u=-u'×sinu

d/du sinu= u'×sin'u= u'×cosu

d/du tanu = u'×(1+tan²u)

d/du cotu = u'×-(1+cot²u)

proof for cosu :

cos2x= 1-2sin²x

or 2cosx²-1

or cos²x-sin²x

we will one of this fro example let's take the first one

d/dx 1-2sin²x=0-2×2(sinx)×cosx=-2sin2x

and we have 2 in the begining so its -4sin2x

If 18 drinks cost £54, how much will 7 drinks cost ?

Answers

Answer:

£21

Step-by-step explanation:

Cost of 18 drinks = £54

Cost of 1 drink

= Cost of 18 drinks/18

= £54/18

= £3

Cost of 7 drinks

= Cost of 1 drink × 7

= £3 × 7

= £21

Abigail stays after school for chess club practice. Everyone is in the mood for a snack, so they buy bags of pretzels from the vending machine for $0.95 each. If the club members buy 6 bags of pretzels, how much do they pay in all?

Answers

Answer:

5.70

Step-by-step explanation:

Take the price per bag and multiply by the number of bags

.95 * 6 =5.70

The inequality - 15<-6 is given. Write the inequality you get when you perform the
following operation.
Divide both sides of the inequality by 3.

Answers

Answer:

-5

Step-by-step explanation:

-15<-6=-15

-15÷3

=-5

Inequalities are used to show unequal expressions. There are five inequalities, and they are: not equal to, greater than, less than, greater than or equal to and less than or equal to.

The inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]

Given that:

[tex]-15 < -6[/tex]

Divide both sides by 3

[tex]-15 \div 3< -6 \div 3[/tex]

Evaluate the division

[tex]-5< -2[/tex]

Hence, the inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]

Answers

Answer:

10y + 4

Step-by-step explanation:

-9 + 8y + 12 - (-2y) + 1

-9 + 8y + 12 + 2y + 1

8y + 2y - 9 + 12 + 1

10y + 4

What is the answer and method for this equation?

Answers

Answer:

X = 15/16

Step-by-step explanation:

2(4-8x) + 6 = -1

8 - 16x + 6 = -1

14 - 16x = -1

-16x = -1 -14

-16x = -15

X = 15/16

Answer:

[tex]2(4 - 8x) + 6 = - 1 \\ 8 - 16x + 6 = - 1 \\ - 16x = - 1 - 6 - 8 \\ - 16x = -15 \\ 16x = 15 \\ \boxed{x = \frac{15}{16} }[/tex]

x=15/16 is the right answer.

There are 23 red candies, 16 blue candies,
and 10 yellow candies. What is the
probability that you will reach into the
candy bag and choose a yellow piece?

Answers

Answer:

[tex]\frac{10}{49}[/tex]

Step-by-step explanation:

There are 23 red candies, 16 blue candies and 10 yellow candies.

Which means altogether we have..

23 + 16 + 10= 49

49 candies.

To find the probability of picking a yellow piece, we know that there are 10 yellow candies out of 49 candies.

So the chances of getting a yellow piece is [tex]\frac{10}{49}[/tex]

10 YELLOW CANDIES

49 CANDIES

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Which angles represent alternate interior angles? Question 21 options: G and H A and D B and H C and F

Answers

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Which angles represent alternate interior angles?

Question 21 options:

G and H

A and D

B and H

C and F