The isosceles triangle is missing so i have attached it.
Answer:
Length of unknown side = 5p + 6
Step-by-step explanation:
In isosceles triangle, two of the sides are equal. In the attached triangle, we see that one of the equal sides is given as 5p + 3.
Thus,the second equal side is also 5p + 3.
Now, perimeter of a triangle is the sum of the three sides.
We have two sides and let the third side be denoted as x.
Thus;
Perimeter = (5p + 3) + (5p + 3) + x
We are given perimeter = 15p + 12
Thus;
(5p + 3) + (5p + 3) + x = 15p + 12
10p + 6 + x = 15p + 12
Rearranging, we have;
x = 15p - 10p + 12 - 6
x = 5p + 6
The figure is a trapezoid (or trapezium), and the exact length of the trapezoid is 5 units
<h3>How to determine the length?</h3>
The figure is a trapezoid with the following parameters:
Area = 107.95
Base= 12
Height = 12.7
Length = x
The area of a trapezoid is:
Area = 0.5 * (Base + Length) * Height
So, we have:
0.5 * (12 + Length) * 12.7 = 107.95
Evaluate the product
(12 + Length) * 6.35 = 107.95
Divide both sides by 6.35
12 + Length = 17
Subtract 12 from both sides
Length = 5
Hence, the length of the trapezoid is 5 units
Read more about areas at:
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Answer:
x = 9
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = 
, then
sin45° = 
= 
= ( cross- multiply )
x × 
= 9 ( divide both sides by )
x = 9
Answer:
the answer is D.
Step-by-step explanation:
The solution of an equation is the true value of the equation.
The true statement is <em>(a) Dr. Ellison is right</em>
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The equation is given as:
The solution is given as: (1,18)
Substitute 1 for x and 18 for y.
So, we have:
Multiply
Add
The above equation is true.
Hence, the true statement is (a) Dr. Ellison is right
Read more about equations at:
brainly.com/question/545403
