Well, for any triangle the angles inside of it will add up to 180...
So the square in the corner of the triangle means its a right angle, meaning its 90 degrees.
If we add 90 and 42 together that equals 132.
180 minus 132 equals 48.
This meaning that angle z is 48 degrees.
Answer: z = 48 degrees
Answer:
y =
Step-by-step explanation:
Given
y + v = s ( subtract v from both sides )
y = s - v
Multiply through by 3 to clear the fraction
2y = 3s - 3v ( divide both sides by 2 )
y =
Answer:
-11.5
Step-by-step explanation:
4(x + 12) = 2
Distribute
4x + 48 = 2
Subtract 48 from both sides
4x = -46
Divide both sides by 4
x = -11.5
Answer:
1st formula 2n + 3m = 280
2nd formula 2n + 5m = 320
rearrange 1st formula to equal n:
2n = -3m + 280
n = -3/2 m + 140
rearrange 2nd formula to equal n:
2n = -5m + 320
n = -5/2m + 160
so now you have
-3/2m + 140 = -5/2m + 160
Rearrange to become:
-3/2m + 5/2m = 160 - 140
m = 20
Now place 20 into the very 1st equation in place of the letter m
2n + 3(20) = 280
2n + 60 = 280
2n = 220
n = 110
so it costs $110 per night, $20 per meal
I'll help you with #7, and hopefully then you will be able to do #8 on your own. the formula for the volume of a pyramid and cone is the area of the base times the height of the figure divided by three. knowing this, we must first find the area of the base. since it is a square, we need to multiply the length times the width. (6 • 6 = 36) then you multiply that times the height of the figure (36 • 4 = 144) finally, we need to divide that by three (144 divide by three is 48.) so the answer is b. hope this helped :$