Answer:
The correct option is the second option;
a. Division property of equality
b. Symmetric property of congruency
c. Multiplication property of equality
Step-by-step explanation:
a. For the equation in part a., we have;
6·a = 30
Therefore;
6·a/6 = 30/6
a = 5
Which is of the form, if a = b then a ÷ c = b ÷ c, which is the division property of equality
b. For the relationship in part b., we have;
∠ABC ≅ ∠LMN
∠LMN ≅ ∠ABC
The above relationship is of the form, if a ≅ b then b ≅ a, which is the symmetric property of congruency
c. For the equation in part c., we have;
Multiply both sides by 3, to get;
Cancel like terms on the left hand side of the equation, to get;
2·(x - 6) = 24
Which is of the form, if a = c, then a × c = b × c which is the multiplication property of equality
Answer:
$18.96
Step-by-step explanation:
Now the mechanics earn $14.2 per hour, which is 25.1% less than before.
If we say that the earnings before were 100% (to facilitate our calculation and understand better), now the earrings are (100-25.1)%=74.9%. This is, now they make the 74.9% of what they used to made.
So:
74.9% = 14.2
Let's multiply both sides by 100%/74.9% to make a 100% appear at the left side (see that multiply and divide by 74.9 will make it desapear):
74.9% *(100%/74.9%) = 14.2 * (100%/74.9%)
100% = 14.2 * (100%/74.9%)
And (100%/74.9%) is equal to 1/0.749, they are the same. So:
100% = 14.2 * 1/0.749
100% = 18.96
So, before the new manager they used to make $18.96. (you can verify by multiplying it by 74.9% and the result is 14.2)
Part A: Coefficients: 20,5.
Variables: c,w
Constants:95.50
Word Form: Three hundred six thousands
First distribute the -4 and 3, then combine like terms
