Answer:
The measure of angle C is 
The draw in the attached figure
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC
The sine of angle C is equal to divide the opposite side to angle C by the hypotenuse

substitute the values


Answer:
the opposite Angles sum up to give 180
Step-by-step explanation:
3y +3y = 180
y=30
if y = 30 the x = 55
are you clear?
The value of x is 3.8
<em><u>Solution:</u></em>
<em><u>Given equation is:</u></em>

We have to solve the equation for "x"
Move the terms so that you end up with only terms involving x on one side of the sign and all the numbers on the other
Therefore, we get
x + 7.4 = 11.2
When we move 7.4 from left side to right side of equation it becomes -7.4
x = 11.2 - 7.4
Subtract 7.4 from 11.2
x = 3.8
Thus value of x is 3.8
<u>Answer:</u>
9. x = 12
10. x = 31
<u>Step-by-step explanation:</u>
9. Corresponding angles are equal, so technically you can move that (7x - 20) to be diagonal with the (4x + 16). Along with the corresponding angle, diagonal angles are equal to each other. Therefore you can set (7x - 20) equal to (4x + 16) to find x.
7x - 20 = 4x + 16
Solve
3x - 20 = 16
3x = 36
x = 12
Therefore x is equal to 12
<u>Check:</u>
4(12) + 16
= 64
7(12) - 20
= 64
10. All angles in a triangle have to add up to 180 degrees. Therefore, you can write your equation like this:
x + 2x + 25 + 2x = 180
Combine like terms
5x + 25 = 180
Solve
5x = 155
x = 31
Therefore, x = 31.
<u>Check:</u>
31 + 2(31) + 25 + 2(31) = 180
31 + 62 + 25 + 62 = 180
180 = 180
<em>I hope this helps!!</em>
<em>- Kay :)</em>
<em />
Assuming compount interest format

for compounded per 1 year
A=future amount
P=present amount
r=rate in decimal
t=time in years
given
P=270
r=5%=0.05
the equaton is

or

for any year, 2009, is year 0, so if you wanted to input the year then

would be for t=what year it was
A.

b. 2009 to 2020
2020-2009=11 years
t=11

f(11)=461.792
about 462 cranes
A.

B. about 462