Can somebody explain this to me

Mathematics

1 answer:

Snowcat [4.5K]2 years ago

3 0

Answer:

This problem is asking you to use angle relationships (vertical angles, supplementary angles) to solve this problem.

Step-by-step explanation:

1. The vertical angles between ∠1 & ∠2 are equal, so find the value of x using an equation that sets them as equal to each other.

4x - 48° = x + 30°

2. These two vertical angles are supplementary to ∠1 & ∠2 on their corresponding sides (∠1 & x + 30°, ∠2 & 4x - 48°). Subtract the value of x from 180°, which is the degree of a straight line.

180° - x = ∠1

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When Nathan’s mother drives him to school, it takes ⅕ hour. When Nathan walks to school, it takes him 4 times as long to get to

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Answer: 4/5 of an hour

Step-by-step explanation: 1/5 times 4 is 4/5

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3 years ago

What is the answer to x (x+8)=9

marta [7]

Answer:

x=1 or x=−9

Step-by-step explanation:

Let's solve your equation step-by-step.

x(x+8)=9

Step 1: Simplify both sides of the equation.

x2+8x=9

Step 2: Subtract 9 from both sides.

x2+8x−9=9−9

x2+8x−9=0

Step 3: Factor left side of equation.

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Step 4: Set factors equal to 0.

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3 years ago

Give an example for a pair of alternate interior angles, a pair of corresponding angles, and a pair of alternate exterior angles

erastovalidia [21]

Step-by-step explanation:

Consider the provided information.

Consider the figure 1:

We need to give an example of a pair of alternate interior angles, a pair of corresponding angles, and a pair of alternate exterior angles.

Alternate interior angles: If a transversal cuts two parallel line then pair of angles on the inner side of lines but on opposite sides of the transversal are know as the alternate interior angle:

For example: ∠3 and ∠6 are alternate interior angle another pair are ∠4 and ∠5.

Corresponding angles: If a transversal cuts two parallel line then the angles in same corner are called corresponding angles.

For example: ∠1 and ∠5 are corresponding angle another pair are ∠4 and ∠8.

Alternate exterior angles: If a transversal cuts two parallel line then the pair of angles on the outer side of lines but on opposite sides of the transversal are known as the alternate exterior angles.

For example: ∠1 and ∠8 are alternate exterior angle another pair are ∠2 and ∠7.