6+5+x=41
11+x=41
11+-11+x=41+-11
x=30
Sue is 30 years old
Answer:
Step-by-step explanation:
idk
Answer:
.
Step-by-step explanation:
Given information:
According to the Pythagoras theorem,
Using Pythagoras theorem, we get
Taking square root on both sides.
Hence, the expression of the hypotenuse is .
Answer: -9 = a(1 - 3)² + 3
Step-by-step explanation:
Vertex Form Equation:
y = a(x - h)² + k
vertex: (h, k) which means
h = 3
k = 3
because your vertex is (3, 3).
Your point is (1, -9) which is (x, y).
This means
x = 1
y = -9
Now, plug everything into your Vertex Form Equation:
-9 = a(1 - 3)² + 3
That’s your equation and final answer, but of course, if you need to, you can solve for a if you need to.
If a is positive, the parabola opens up. If a is negative, the parabola opens down.
Hope this helps!
Answer:
measure of exterior angle at C = 160°
Step-by-step explanation:
An exterior angle of a triangle equals the sum of the two remote interior angles
A and B are the remote interior angles. So,
m∠A + m∠B = measure of exterior angle at C
5x - 10 + 12x = 16x
17x - 10 = 16x
x = 10
measure of exterior angle at C = 16x = 16(10) = 160°
