Answer:
The answer to your question is p = 27.7 q = 29
Step-by-step explanation:
Process
1.- Calculate the value of all the angles of the triangle
The angle of 50° and the one to the right are supplementary
x + 50 = 180
x = 130°
- The sum of the internal angles in a triangle equals 180°
30° + y + 130° = 180
y = 180 - 130 - 30
y = 180 - 160
y = 20°
- The angle of the right triangle
50 + 90 + z = 180
z = 180 - 90 - 50
z = 40°
If sum up the superior angles 20 + 40 = 60°, then the biggest triangle is a 30-60-90
2.- Calculate q using the trigonometric function tangent
tan Ф = q / 55
solve for q
q = 55 tan 30
q = 28.9 ≈ 29
3.- Calculate the hypotenuse of the biggest triangle
h² = 55² + 29²
h² = 3866
h = 62,12
4.- Use law of sines to find p

solve for p
p = 
p = 27.74
The consecutive even integers are 8, 10 and 12.
<h3>How to calculate the value?</h3>
Let the integers be x, x + 2, and x + 4.
Therefore, the equation will be:
6(x) = x + 2 + x + 4 + 26
6x = 2x + 32
Collect like term
6x - 2x = 32
4x = 32
Divide
x = 32/4.
x = 8
The numbers are 8, 10 and 12.
Learn more about integers on:
brainly.com/question/17695139
#SPJ1
PART A
Coefficient
Coefficient h is 7.50
Coefficient s is 0.20
Variable
h and s
Constant
40
PART B
7.50h + 0.20s + 40
= 7.50(25) + 0.20(300) + 40
= 187.5 + 60 + 40
= 287.5
She earns $287.5
PART C
Yes, the coefficient of h would change to 9, the rests are still the same. Because she's no longer receive 7.50 per hour, and start earning 9 per hour, so the coefficient should change.
The expression would be
9h + 0.20s + 40
Hello! quartiles divide data into fourths, and percentiles divide data into hundredths! hope this helps! ;)