Using a proportional relationship, we have that:
- a) The constant of proportionality is of 0.625, hence the equation is:
.
- b) The distance of two cities that are 5 miles apart is of 8 kilometers.
- c) When they are 200 kilometers apart, we have that the distance in miles is of
.
<h3>What is a proportional relationship?</h3>
- A <em>proportional relationship</em> is a function in which the <u>output variable is given by the input variable multiplied by a constant of proportionality</u>, that is:.
- In which k is the constant of proportionality.
Item a:
From the graph, when x = 8, y = 5, hence:
The constant of proportionality is of 0.625, hence the equation is: .
Item b:
From the graph, when y = 5, x = 8, hence:
- The distance of two cities that are 5 miles apart is of 8 kilometers.
Item c:
When they are 200 kilometers apart, we have that the distance in miles is of .
You can learn more about proportional relationship at brainly.com/question/13550871
X-2=6x+18
-x -x
-2=5x+18
-18 -18
-20=5x
x=-4
Answer:
The measure of angle B is 68° and the measure of angle C is 22°
Step-by-step explanation:
we know that
If two angles are complementary, then their sum is equal to 90 degrees
m∠B+m∠C=90° -----> equation A
m∠B=3(m∠C)+2 ----> equation B
Substitute equation B in equation A and solve for m∠C
3(m∠C)+2+m∠C=90
4(m∠C)=90-2
4(m∠C)=88
m∠C=88/4
m∠C=22°
Find the value of m∠B
m∠B=3(22)+2=68°
therefore
The measure of angle B is 68° and the measure of angle C is 22°
1/2 of angle D is given as 32 degrees.
The 3 inside angles need to add up to 180 degrees.
Angle B is a right angle, which is 90.
Angle C = 180 - 90 - 32 = 58 degrees.
Answer:
Step-by-step explanation:
Let's find the volume of the room in ft³ and that will give
14×22×9=2772ft³
There are deductions. Hence we subtract them from this value
3×5=15, but there are two, hence 15×2=30ft²
And 4×7=28ft²
Hence 2772-(30+28)=2714
Dividing this value by 320 gives
8.4(to 2s.f)
