The value of x is 77 cm which will make the triangles similar by SSS similarity theorem
Given length of the three sides of one triangle are 35 , 20 and 20
and length of the three sides of another triangle are x, 44,44
We need to find the values of x by using SSS Similarity theorem
We know that triangles are are similar by side - side - side similarity creation and hence the sides are in the same ratio
As both the triangles are isosceles triangles
Therefore ,
x/35 = 44/20=44/20 (Using ratio)
Solving the equation we get
x=44*35/20
x= 77
Hence the value of x is 77cm
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The area of Vivian’s garage door is 62.5 square feet
<h3>Area of composite shape.</h3>
The Vivian garage is made up of a trapezoid and a rectangle. The area of the door is expressed as;
Area = Area of rectangle + area of trapezoid
Area = (5 * 8) + 0.5(7 + 8)*3
Area= 40 +22.5
Area = 62.5 square feet
Hence the area of Vivian’s garage door is 62.5 square feet
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Answer
<h2>
4</h2>
Step-by-step explanation:
Given,
r = 10
Let's create an equation,

plugging the value of r

Multiply the numbers

Move 5s to L.H.S and change its sign
Similarly, Move 30 to R.H.S and change its sign.

Calculate

The difference sign ( - ) should be cancelled on both sides

Divide both sides of the equation by 5

Calculate

The value of s is 4.
Hope this helps..
Best regards!!
Answer:
7q + 12
Step-by-step explanation:
simply arrange the given expressions into the traditional way of adding numbers like 1 + 1 but vertically like : 1
1 +
which is equivalent to
6q + 1 +
q + 11
______
7q + 12
why? because 6q plus q is equal to 7q and 1 + 11 is equal to 12
good day.