Answer:
The values of variables x and m are 11 and 17
Step-by-step explanation:
The question has missing details as the diagram of the trapezoid isn't attached.
(See attachment).
Given that trapezoid CHLE is isosceles then the angles at the base area equal (4x)
And
The angles at the top are also equal
8m = 11x + 15
At this point, the four angles in the trapezoid are 8m, 11x + 15, 4x and 4x..
The sum of interior= 360
So,
11x + 15 + 8m + 4x + 4x = 360
Collect like terms
11x + 4x + 4x + 8m = 360 - 15
19x + 8m = 345
Substitute 11x + 15 for 8m
19x + 11x + 15 = 345
30x + 15 = 345
30x = 345 - 15
30x = 330
Divide through by 30
30x/30 = 330/30
x = 11
Recall that 8m = 11x + 15;
8m = 11(11) + 15
8m = 121 + 15
8m = 136
Divide through by 8
8m/8 = 136/8
m = 17
Hence, the values of variables x and m are 11 and 17
Answer:
$68.97
Step-by-step explanation:
Markup is the difference between the cost of an item and the price at which it is sold:
cost price + markup = selling price
Here, the markup is said to be 70%. The base for that percentage can be either the cost price or the selling price. The way this question is worded suggests the markup is 70% of the cost price.
So, we have ...
cost price + 0.70 × cost price = selling price
or
cost price × (1 + 0.70) = selling price
__
Then, to find the cost price, we can divide by its coefficient in this equation. Doing that gives ...
cost price = (selling price)/1.70
cost price = $117.25/1.70 = $68.97
The store's purchase price before the markup for this item was $68.97.
Answer:
how did you take the screenshot
Step-by-step explanation:
The <span>the difference between the high and low temperatures was 9 degrees. </span>
Answer:
Do you just need the inequality written? If so,
-5 < x < 8
Step-by-step explanation: