The angle shown there is an example of a vertical angle. An opposite angle formed by intercecting lines. They are always congruent, so to solve this, you must set them equal to eachother. you can gather the equation 4x-5=59. From there, you just solve it like you would any two step equation.

6 0

2 years ago

A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the

GarryVolchara [31]

The bottom of the ladder is 10.5 feet away from the wall

Step-by-step explanation:

The given scenario forms a right triangle.

Where

The length of ladder will be the hypotenuse

The wall on which the window is situated will ebt he perpendicular and

The distance between the foot of ladder and the wall will be the base

So,

Hypotenuse = H = 20 foot

Perpendicular = P = 17 feet

Base = B = ?

Using the Pythagoras theorem

$H^2=P^2+B^2\\(20)^2=(17)^2+B^2\\400=289+B^2\\400-289=B^2\\B^2=111\\Taking\ square\ root\ on\ both\ sides\\\sqrt{B^2}=\sqrt{111}\\B=10.53\\Rounding\ off\ to\ the\ nearest\ tenth\\B=10.5$

The bottom of the ladder is 10.5 feet away from the wall

Keywords: Triangle, Pythagoras Theorem

Learn more about Pythagoras theorem at:

#LearnwithBrainly

8 0

2 years ago

Dylan scores a total of 48 points in his first games of the basketball season. Which equation can be used to find g, the average

Anarel [89]

Answer: 48÷4 = g

Step-by-step explanation:

Here is the complete question:

Dylan scored a total of 48 points in first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?

a. 48÷4=g

b. 4÷48=g

c. g÷4=g

d. 4÷g=48

The average number of points Dylan scores per game which has been represented by g will be the total points scored divided by the number of game played. This will be:

g = total point scored ÷ number of games played

g = 48 ÷ 4

Therefore, option A is the right answer.

5 0

3 years ago

Read 2 more answers