Answer:
RQ = 49
Step-by-step explanation:
12/28 = 21/RQ (Ratio of sides of similar triangles are equal)
12 x RQ = 21 x 28
RQ = 588 / 12
RQ = 49
5 x - 30
Factor out 5
5 ( x - 6)
alternative B
hope this helps !. :)
Answer:
72.9 degrees and 17.1 degrees.
Step-by-step explanation:
The complementary angles can be expressed as x and 90-x degrees.
So we have the equation:
x - (90 - x) = 55.8
x - 90 + x = 55.8
2x = 55.8 + 90 = 145.8
x = 145.8 / 2
= 72. 9 degrees
So each angle is 72.9 degrees and 90 - 72.9 = 17.1 degrees.
Answer:
Cost of each ticket per person = $42
For groups of up to 8 people, the cost per ticket decreases by $3 for each person in the group.
Marco's ticket cost $30.
This means he paid 42-30=12 dollars less.
Now when there are 8 members, the cost decreases by $3.
So, $12 will decrease, when there will be members
I hope this helps! Have an awesome day!
Answer:
<em>The helicopter is 27.38 m far off the ground</em>
Step-by-step explanation:
The drawing shown in the image below has all the measures and variables needed to solve the problem.
We need to find R, the height of the helicopter. We'll use the law of sines to find the length of side a.

The angle X is the measure needed to complete 180°:
X = 180° - 54° - 62° = 64°
Solving for a:

Calculating:
a = 31.11 m
Now using the sine ratio in the right triangle to the left side:

Solving for R:

R=31.11*0.88
R = 27.38 m
The helicopter is 27.38 m far off the ground