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3 years ago

Look at the picture

Mathematics

1 answer:

valentina_108 [34]3 years ago

6 0

9514 1404 393

Answer:

Step-by-step explanation:

When angles are between the parallel lines, they are called interior. If they are both on the same side of the transversal, they are "same-side interior."

If angles are on opposite sides of the transversal, they are exterior.

If angles are in the same direction from the intersection point, they are corresponding.

Angles in opposite directions from the point of intersection are vertical angles.

same-side interior: {3, 5} and {4, 6}. (supplementary)

same-side exterior: {1, 7} and {2, 8}. (supplementary)

alternate interior: {3, 6} and {4, 5}. (congruent)

alternate exterior: {1, 8} and {2, 7}. (congruent)

corresponding: {1, 5}, {2, 6}, {3, 7}, {4, 8}. (congruent)

vertical: {1, 4}, {2, 3}, {5, 8}, {6, 7}. (congruent)

Angles 6 and 4 are same-side interior angles; their sum is 180°.

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The sum of two consecutive integers is 65. what are the two integers? show steps please.

Gnoma [55]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the two integers, given that they are consecutive, and their sum is 65.

$\triangle~\fbox{\bf{KEY:}}$

Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.

Let the first integer be x, and let the second integer be x+1.

Their sum is 65. Let's set up our equation:

$\longmapsto\sf{x+x+1=65}$

Combine like terms:

$\longmapsto\sf{2x+1=65}$

Subtract 1 from both sides of the equal sign:

$\longmapsto\sf{2x=64}$

Divide both sides by 2:

$\longmapsto\sf{x=32}$

To find the second integer, subtract the first integer from the sum of the two integers:

$\longmapsto\pmb{65-32}$

$\longmapsto\pmb{33}$

The integers are: 33 and 32.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

7 0

2 years ago

If you reflect ABCD across x-axis, what will be the coordinates of A’ and C’

disa [49]

Answer:

A (1, -5), B (2, -5)

8 0

3 years ago

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the relationship between temperature in degrees farenheit and degrees celsius is shown in the graph below what is the meaning of

Blababa [14]

Since the graph is not provided and you have not describe which temperature is represented by x or y, we cannot tell what the meaning of any particular coordinate might be. In general, the meaning is the temperature value on the vertical scale that corresponds to zero on the horizontal scale.

For example, if the horizontal (x) scale is °C, then the y-intercept will be 32 °F, the value on that scale that corresponds to 0 °C.

If the horizontal scale is °F, then the y-intercept will be -17 7/9 °C, the value on that scale that corresponds to 0 °F.

3 0

3 years ago

Before 8 A.M., there were 64 trucks and 24 cars in a parking lot. Between 8 A.M. and 9 A.M., more cars entered the parking lot a

malfutka [58]

Answer:

232 cars

Step-by-step explanation:

Let's say the number of cars that entered is c.

At 9:00 am, there are a total of 24 + c cars and 64 trucks. We know that this value of 64 represents 1/5 of the total number of vehicles. The total number of vehicles is (24 + c) + 64 = 88 + c. So, we have:

64/(88 + c) = 1/5

Cross-multiply:

88 + c = 64 * 5 = 320

c = 320 - 88 = 232

Thus, the answer is 232 cars.

Note: as 232 doesn't show up in the answer choices, it's possible that the problem was copied correctly.

~ an aesthetics lover

6 0

3 years ago

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How do you solve this?

Effectus [21]

Answer:

shheeeesh that is hard good luck

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3 years ago