Answer:
m<1 = 57°
m<2 = 33°
Step-by-step explanation:
To find the numerical measure of both angles, let's come up with an equation to determine the value of x.
Given that m<1 = (10x +7)°, and m<2 = (9x - 12)°, where both are complementary angles, therefore, it means, both angles will add up to give us 90°.
Equation we can generate from this, is as follows:
(10x + 7)° + (9x - 12)° = 90°
Solve for x
10x + 7 + 9x - 12 = 90
Combine like terms
19x - 5 = 90
Add 5 to both sides
19x = 90 + 5 (addition property not equality)
19x = 95
Divide both sides by 19
x = 5
m<1 = (10x +7)°
Replace x with 5
m<1 = 10(5) + 7 = 50 + 7 = 57°
m<2 = (9x - 12)
Replace x with 5
m<2 = 9(5) - 12 = 45 - 12 = 33°
Answer:
35ft squared
Step-by-step explanation:
First lets try solving the rectangular middle part
Width is 3 ft
Height is 5ft + 4ft = 9ft
3*9ft= 27ft. This is area of middle rectangular section
For the triangle, we subtract 3 from the rectangle from 11ft and divide by 2 because the two triangle on the edges are the same.
11-3=8
8/2=4
Triangle area formula = Base*Height / 2
4*4/2
16/2
4ft squared
and the other triangles area is also 4ft squared because they are congruent. So you add all the sections of the area up
27ft+4ft+4ft=35ft squared
35ft squared is the answer.
Hope this helps :)
Answer:
127.253 m^3
Step-by-step explanation:
To find the volume, we start by getting the area of the square base
Mathematically, that will be 4.9^2 m^2
To complete the volume, we multiply the area of the base by the height
= 4.9^2 * 5.3 = 127.253 m^3
Answer:
2
Step-by-step explanation:
the y-intercept is where the line meets the y-axis
Answer:
Assuming the slide is straight - 12 feet
Step-by-step explanation:
Assuming the slide is straight - it creates a right triangle with long side 13 feet and one of the short sides of 5 feet. We need to find the other short side.
We know that:
