Answer:
sum of exterior angles of polygon = 360°
therefore,
z = 360 - (105+145)
z = 360 - 250
z = 110°
Answer:
x = -1/2
Step-by-step explanation:
To solve the equation, we first need to combine like terms:

Simplify further:

Divide by -12 on both sides to get:

To check the solution, plug x back into the original equation and check if we get the correct answer:



Thus, it checks out and our answer is correct.
Work backwards from vertex form. Vertex form of a quadratic equation/parabola is the following:
f(x) = a(x - h)² + k, where (h, k) is the vertex.
f(x) = a(x - 6)² - 9
Now, plug in the point that you're given to SOLVE FOR A. Remember that f(x) is just another way of writing y.
8 = a(1)² - 9
8 = a - 9
a = 17
So, plug in a = 17 into the equation.
<span>f(x) = 17(x - 6)² - 9 ←← your answer.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
</span>
Answer:
$32
Step-by-step explanation:
24 divided by 3= 8
8*4=32
A rectangle is a parallelogram with four right angles.
That's why in order to prove that LMNP is rectangle you have to show that LP is perpendicular to PN.
Solution:
The coordinates of vertices are L(-4,1), P(-3,-1) and N(3,2), then
.
Find the dot product:
.
Since the dot product of two vectors is equal to zero, these vectors are perpendicular.
LMNP is a parallelogarm, then
.
You show that all angles are right, this means that parallelogram LMNP is a rectangle.
Answer: correct choice is D.