Answer: x = 12
Step-by-step explanation:
We can see two triangles rectangles, we will use the angle S to solve this, as this angle is common to both triangles.
We know that:
cos(S) = adj cathetus/hipotenuse.
Then we have, for the triangle SRT.
Cos(S) = 9/SR.
for the big triangle, SQR, we have:
Cos(S) = SR/(9 + 16)
now we can find the quotient of those two equations and get:
cos(S)/cos(S) = 9/Sr*(9+16)/SR
SR^2 = 9*(25)
SR = 15.
Now with this side we can find the value of x.
We can use the Pythagorean theorem in the triangle SRT, where the sum of the squared cathetus is equal to the hypotenuse:
9^2 + x^2 = 15^2
x = √(15^2 - 9^2) = 12
Answer:
the answer is to fold the hexagon along a line that bisects two vertex angles.
Step-by-step explanation:
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You have a rectangle and 2 triangles:
rectangle = 12 *6 = 72
larger triangle on left, find the base:
base = 6 / tan(45) = 6
area = 1/2 x b x h = 1/2 x 6 x 6 = 18
smaller triangle:
area = 1/2 x b x h
1/2 x 2 x 6 = 6
total area:
72 +6 +18 = 96 cm^2
Answer:
Hi there!
Your answer is:
81
Step-by-step explanation:
First, simplify within parentheses.
-4-3-2 = -7-2 = -9
(-9)^2
The negative is within the parentheses, so it goes away when squared
(-9)^2 = -9× -9= 81
Hope this helps
Answer:
y=7x-4
Step-by-step explanation:
when you put the other equation into y=mx+b form, it has a negative slope
