Answer: For the sum of 130
First: $90
Second: $40
Step-by-step explanation:
We write equations for each part of this situation.
<u>The Total Charge</u>
Together they charged 1550. This means 1550 is made up of the first mechanics rate for 15 hours and the second's rate for 5 hours. Lets call the first's rate a, so he charges 15a. The second's let's call b. He charges 5b. We add them together 15a+5b=1550.
<u>The Sum of the Rates</u>
Since the first's rate is a and the second is b, we can write a+b=130 since their sum is 130.
We solve for a and b by substituting one equation into another. Solve for the variable. Then substitute the value into the equation to find the other variable.
For a+b=130, rearrange to b=130-a and substitute into 15a+5b=1550.
15a + 5 (130-a)=1550
15a+650-5a=1550
10a+650-650=1550-650
10a=900
a=$90 was charged by the first mechanic.
We substitute to find the second mechanic's rate.
90+b=130
90-90+b=130-90
b= $40 was charged by the second mechanic
 
        
             
        
        
        
A and C is enlargement
B,D,E is reduction
        
             
        
        
        
Answer:
Two legs and an hypotenuse 
Step-by-step explanation:
Isn’t that what your looking for?
 
        
             
        
        
        
<h3>
Answer is   -15</h3>
We read this out as "negative 15" or you could write "negative fifteen".
The negative indicates the temperature went down. It doesn't necessarily mean that the final temperature is -15 degrees.
For example, if it starts being 50 degrees F, and drops by 15 degrees, then 50+(-15) = 50-15 = 35 degrees is the temperature after that drop. It might help to use a vertical number line.
 
        
        
        
<u>Given</u>
AC = BC 
<u>Substitution</u>
∠1 = ∠3
<u>Base ∠'s of isosceles triangle =</u>
∠1 = ∠3
<u>Vertical angles =</u>
∠2 = ∠3