Answer:
![e = 13\sqrt{2}](https://tex.z-dn.net/?f=%20e%20%3D%2013%5Csqrt%7B2%7D%20)
![f = 13\sqrt{2}](https://tex.z-dn.net/?f=%20f%20%3D%2013%5Csqrt%7B2%7D%20)
Step-by-step explanation:
The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.
Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:
Finding e:
![sin(\theta) = \frac{opp}{hyp}](https://tex.z-dn.net/?f=%20sin%28%5Ctheta%29%20%3D%20%5Cfrac%7Bopp%7D%7Bhyp%7D%20)
![sin(\theta) = sin(45) = \frac{\sqrt{2}}{2}](https://tex.z-dn.net/?f=%20sin%28%5Ctheta%29%20%3D%20sin%2845%29%20%3D%20%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%20)
hyp = 26
opp = e = ?
Plug in the values into the formula
![\frac{\sqrt{2}}{2} = \frac{e}{26}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%20%3D%20%5Cfrac%7Be%7D%7B26%7D%20)
Multiply both sides by 26
![\frac{\sqrt{2}}{2}*26 = \frac{e}{26}*26](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%2A26%20%3D%20%5Cfrac%7Be%7D%7B26%7D%2A26%20)
![\frac{\sqrt{2}}{2}*26 = e](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%2A26%20%3D%20e%20)
![\frac{\sqrt{2}}{1}*13 = e](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B1%7D%2A13%20%3D%20e%20)
![13\sqrt{2} = e](https://tex.z-dn.net/?f=%2013%5Csqrt%7B2%7D%20%3D%20e%20)
![e = 13\sqrt{2}](https://tex.z-dn.net/?f=%20e%20%3D%2013%5Csqrt%7B2%7D%20)
Since side e is of the same length with side f, therefore, the length of side f = ![13\sqrt{2}](https://tex.z-dn.net/?f=%2013%5Csqrt%7B2%7D%20)
Answer:
choice 1
Step-by-step explanation:
angle 1 = angle 7 (exterior alternate angle)
angle 3=angle 5 (interior alternate angle)
C is the answer look at the way I. form is
Answer:
12
Step-by-step explanation:
(-15)/(-18) = 10/x cross multiply expressions
-15x = -180 since both sides are negative we can write without the sign
15x = 180 divide both sides by 15
x = 12
60/100 = 8/x
Multiply both sides by 100
60 = 800/x
Multiply both sides by x
60x = 800
Divide both sides by 60
x = 13.3333333333333
0.3 • x = answer
Answer = 4