Answer:
Step-by-step explanation:
2) ∠A + ∠B = 146 {Exterior angle theorem}
5y + 3 + 4y + 8 = 146
5y + 4y + 3 + 8 = 146 {combine like terms}
9y + 11 = 146
9y = 146 -11
9y = 135
y = 135/9
y = 15
3) m∠A = 5y + 3
= 5*15 + 3
= 75 + 3
∠A = 78
4) m∠B = 4y + 8
= 4*15 + 8
= 60 + 8
m∠B = 68
5) m∠ACB + m∠A + m∠B = 180 {Angle sum property of triangle}
m∠ACB + 78 + 68 = 180
m∠ACB + 146 = 180
m∠ACB = 180 - 146
m∠ACB = 34
Answer:
We put the value of "y" into the second equation:
x * 5 = -15
x = -15 / 5
x = -3
Step-by-step explanation:
The answer is B add up the whole numbers and multiply the fractions so you get 4 1/8
Answer:
there is no real slope
Step-by-step explanation:
Answer:
or 2.738
Step-by-step explanation:
Let’s just look at the triangle on the top with the on the top and x on the bottom. (Basically the top half to the equilateral triangle)
There is a small square in the bottom right corner, which indicates that this triangle is a right triangle. This means that we can use the Pythagorean Theorem:
We know that \sqrt{10} is our hypotenuse, and therefore our c in our equation. Let’s say that x=a in our equation. Therefore we are left to find b. However, b is half the length of the side of the original equilateral triangle. An equilateral triangle means that all three sides are the same length. Therefore our side would also be \sqrt{10} units long. However we know that b is half of that value, so b= or
Plugging these values into the equation:
x^2+ (\frac{\sqrt{10} }{2})^{2}=\sqrt{10} ^{2}
This approximately equals 2.738