Answer:
? = x = 12
Step-by-step explanation:
Remark
This is a proportion question. A proportion is 2 equal ratios. The two triangles are similar, which means that a proportion can be set up.
Givens
? = x
x + 8
9
9 + 6
Equation
x/(x + 8) = 9 / (9 + 6) Combine
Solution
x/(x + 8) = 9/15 Cross multiply
15x = 9(x + 8) Remove the brackets
15x = 9x + 72 Subtract 9x from both sides
15x - 9x = 72 Combine
6x = 72 Divide both sides by 6
6x/6 = 72/6
x = 12
Answer x = 12
Answer:
<em>d</em> < 8
Step-by-step explanation: Obviously, you need to find out what D is. First you do the opposite of positive 4 to make it 0. You have to subtract 4, so you therefore subtract 4 from 52 as well, which is 48. Now you find out what 48/6 is to get the value of <em>d </em>which is < (less than) 8. Any <em>d </em>value less than 8 will give us a valid answer, however any <em>d </em>value more than 8 will give you an invalid answer.
Answer:
<em>the hourly pay fro the internship is $7/hr</em>
<em></em>
Step-by-step explanation:
The statement can be written mathematically as below

the hourly rate of the internship is 
solving the equation, we have

subtract 4 from both sides of the equation




<em>the hourly pay fro the internship is $7/hr</em>
Using Pythagoras in the first question
c=

which is approximately 16.5
for the second question
we also use Pythagoras

The easiest way to graph these equations is to place them in slope intercept form.
2x = 10 - 3y
3y + 2x = 10
3y = -2x + 10
y = -2/3x + 3 and 3/10
Then just place values in for x to determine y
If x = 0, y = -2/3(0) + 3 and 3/10; y = 3 and 3/10
x = 1; y = -2/3(1) + 3 and 3/10; y = 2 and 19/30
Repeat as needed for more points, then plot the points on the graph, and draw a line through the points.
The same can be applied to the second equation.
3x + 2y = 5
2y = -3x + 5
y = -3/2x + 2 and 1/2
x = 0; y = -3/2(0) + 2 and 1/2; y = 2 and 1/2
x = 1; y = -3/2(1) + 2 and 1/2; y = 1
Repeat as needed for more points, then plot points and draw a line through them.