9514 1404 393
Answer:
x = 22.5°
Step-by-step explanation:
The interior angle at E is (180 -4x), the supplement of the exterior angle there, 4x. The sum of angles 2x and (180-4x) will be equal to 6x, because alternate interior angles at transversal BE are congruent:
2x +(180 -4x) = 6x
180 = 8x . . . . . . . add 2x and simplify
22.5 = x . . . . . . . divide by 8
The value of x is 22.5°.
Answer:
3077.2
Step-by-step explanation:
A circle's mass is found by
Pie times R^2
7^2 is 49, times 3.14 is 153.86
then you Multiply 153.86 by 20 which gives you 3077.2
60.
let x be the number you're trying to solve.
(x/100)25 = 15
x/4 = 15
x = 15(4)
x = 60
Answer:
12. 5x
13. 5/x-z
Step-by-step explanation:
12. product means multiplication so multiply 5 by x= 5x
13. quotient means division and difference means subtraction. so you divide 5 by x-z= 5/x-z
Answer:
5 meters.
Step-by-step explanation:
Given:
Mr. Dyer is leaning a ladder against the side of his house to repair the roof.
The top of the ladder reaches the roof, which is 3 meters high.
The base of the ladder is 4 meters away from the house, where Mr. Dyer's son is holding it steady.
Question asked:
How long is the ladder?
Solution:
<em>Here we found that a right angle triangle is formed in which base and height is given and we have to find the longest side of the triangle.</em>
Base = 4 meters
Height = 3 meters
Length of the ladder = ?
<u>By Pythagoras theorem:
</u>
Square of longest side = Square of base + Square of height



Taking root both side :-
![Longest\ side = \sqrt[2]{5\times5} \\ Longest\ side = 5](https://tex.z-dn.net/?f=Longest%5C%20%20side%20%3D%20%20%5Csqrt%5B2%5D%7B5%5Ctimes5%7D%20%5C%5C%20%20Longest%5C%20%20side%20%3D%20%205)
Thus, length of ladder is 5 meters.