Answer:
Step-by-step explanation:
We have the length of AC which is opposite angle B; we also have the length of the hypotenuse. We will use trig here to solve for angle B. The sin ratio is the one that fits.
sin(B) = side opposite / hypotenuse:
so
sin(B) = .9411764706
Now we will use the 2nd button on our calculators. This will give us the missing angle value. Press 2nd then sin and you will see on your screen:

Enter that decimal after the open parenthesis and hit "enter" to get
B = 70.25 or 70°
Answer:
C
Step-by-step explanation:
Given
30(
x - 2) + 40(
y - 4)
Multiply each of the terms in the first parenthesis by 30 and multiply each of the terms in the second parenthesis by 40.
= 15x - 60 + 30y - 160
= 15x + 30y - 220 → C
Answer:
19 houses
Step-by-step explanation:
90*(2/5)=36
90-36=54
54*(2/3)=37
54-37=19
Answer:
Step-by-step explanation:
Divide 2 from both sides.
4x-2 = 4
Add 2 to both sides.
4x = 6
x = 1.5
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.