Answer:
angle EGH = 77°
Step-by-step explanation:
7u -70 = 2u + 35
7u - 2u = 35 + 70
5u = 105
u = 105/5
u = 21°
angle EGH = 2u+35
= 2*21+35
= 77°
Answer:
Step-by-step explanation:
A and B are the side lengths. C is the hypotenuse (the longest side).
For triangle A)
a^2+b^2=c^2
(it won't let me add exponents but you get the point)
4^2+2^2=c^2
8+4=c^2
12=c^2
c=square root of 12
For B)
a^2+b^2=c^2
2^2+5^2=c^2
4+10=c^2
After solving, it doesnt
add up to 45
ANSWER
![y = 3](https://tex.z-dn.net/?f=y%20%3D%203)
EXPLANATION
The slope is given by the formula,
![m = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20)
We now substitute the points to obtain,
![m = \frac{y - 0}{3 - 9}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By%20-%200%7D%7B3%20-%209%7D%20)
We simplify to obtain,
![m = \frac{y }{ - 6}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By%20%7D%7B%20-%206%7D%20)
This must equal
![- \frac{1}{2}](https://tex.z-dn.net/?f=%20-%20%5Cfrac%7B1%7D%7B2%7D%20)
This implies that,
![- \frac{1}{2} = - \frac{y}{6}](https://tex.z-dn.net/?f=%20-%20%5Cfrac%7B1%7D%7B2%7D%20%3D%20-%20%5Cfrac%7By%7D%7B6%7D%20)
We multiply both sides by -6 to obtain,
![- 6 \times - \frac{1}{2} = y](https://tex.z-dn.net/?f=%20-%206%20%5Ctimes%20-%20%5Cfrac%7B1%7D%7B2%7D%20%3D%20y)
![y = 3](https://tex.z-dn.net/?f=y%20%3D%203)
The value of is therefore 3.