Answer:
a= 158
b=22
Step-by-step explanation:
First we have to find b in order to find a.
To find b we need to add up the two angles we know the value of and subtract it from 180.
90+68= 158
180-158=22
We know b is 22 because the sum of all angles in a triangle is always 180.
Now that we have b we can find a.
we know that a+b=180 so all we have to do is subtract 22 from 180 to get 158.
Answer:
x = 3
Step-by-step explanation:
Δ BDE and Δ BAC are similar triangles, thus the ratio of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
4(3x + 5) = 7(x + 5) ← distribute parenthesis on both sides )
12x + 20 = 7x + 35 ( subtract 7x from both sides )
5x + 20 = 35 ( subtract 20 from both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Wen you deduct an amount from something
Answer:
<em>The washing machine cost $600 before tax</em>
Step-by-step explanation:
<u>Percentages
</u>
The washing machine cost $651 including a tax of 8.5%.
If x was the cost of the washing machine before tax, then the tax was:
x*8.5/100 = 0.085x
It was added to the original price:
x + 0.085x = 1.085x
That is the final price, thus
1.085x=$651
Solving:
x = $651/1.085
x = $600
The washing machine cost $600 before tax
