Answer:
Step-by-step explanation:
Split the area into two sections by extending 6 in segment.
We get a rectangle of 5 in x 10 in and a trapezoid.
<u>Rectangle:</u>
<u>Trapezoid:</u>
- A = 1/2(b₁ + b₂)h
- A = 1/2((15 - 5) + 7)*(10 - 6) = 1/2*17*4 = 34 in²
<u>Total area:</u>
We have an equation: 56/? = 4/100
Cross multiply:
4*? = 56*100
⇒ ? = 56*100/4
⇒ ?= 1,400
4% of 1,400 days is 56 days~
Answer:
5x + 6y = 20_____(1)
8x - 6y = -46_____(2)
Solving simultaneously:
Eqn(1) + Eqn(2)
5x + 8x + 6y + (-6y) = 20 + (-46)
13x = -26
x = -2
substituting this into Eqn (1):
5(-2) + 6y = 20
-10 + 6y = 20
6y = 30
y = 5
hence:
x = -2,y = 5.
Some of the important "given" information is outside of the photo.
We need to know that the two triangles are similar.
And we need to know that the WHAT ? of angle M is 9/40.
First, let's subtract both sides by 4:
|2x - 3| = 13
We can get two different equations from this:
2x - 3 = 13
and
2x - 3 = -13
So:
2x = 16
2x = -10
x = 8, x = -5
The solution set is {8, -5}
