Find two numbers whose sum is 28 and whose difference is 13

Triangles Unit Test part 1 A length of rope is stretched between the top edge of a building and a stake in the ground. The head

musickatia [10]

Answer:

The building is 32 feet tall.

Step-by-step explanation:

Consider the figure drawn below representing the given scenario.

AB represents the height of building, BC is the distance between the stake and building, C represents the stake at ground level, and DE represents the height of the tree growing halfway between building and stake.

Since the tree is growing halfway between B and C, therefore, the point E divides the line segment BC into 2 equal parts.

Therefore, $BE = EC$ or E is the midpoint of BC.

Also, from the figure, it is clear that both tree and building are vertical to the ground. So, DE || AB.

Now, from converse of mid-segment theorem, if a line passes through the midpoint of one side of a triangle and also parallel to the third side, then the line also passes through the midpoint of the second side and half the length of the third side (parallel side)

So,

$DE=\frac{1}{2}\times AB\\\\16=\frac{AB}{2}\\\\AB=16\times 2=32\ ft$

Therefore, the building is 32 feet tall.

5 0

3 years ago

55 mi / h = ____ ft / s a. 8.7 c. 80.7 b. 26.9 d. 806.7

Tcecarenko [31]

The answer is c. If the answer is wrong i am sorry

4 0

3 years ago

What is the value of w? A.52.5 B.75 C.40 D.100

malfutka [58]

The answer is B. 75 because 105 plus 75 equals 180 degrees...... I used to work on this when I was in 6th grade so it is easy to me hope that helped i tried my best hope you get a 100 hundred as your grade

The answer is = B. 75

5 0

3 years ago

Please help!!! Thank you!!!

Reptile [31]

To find the total area of this figure, it would be easiest to find the area of the left part (rectangle) and then find the area of the right part (triangle), and then add the two area values together.

First, we will find the area of the rectangle, using the formula A = lw, where l is the length of the rectangle and w is the width of the rectangle.
The length of the rectangle is 13 cm and the width is 9 cm. If we substitute in these values into our equation, we get:
A = (13cm)(9cm)
A= 117 cm^2

Next, let’s find the area of the triangle, using the formula A=(1/2)bh, where b is the base of the triangle and h is the height.
The base of the triangle is 11 cm and the height of the triangle is 5 cm (found by subtracting 13-8 as seen in the figure). If we substitute in these values and simplify, we get:
A=1/2(11cm)(5cm)
A=1/2(55cm^2)
A=27.5 cm^2.

When we add together the area of the rectangle with the area of the triangle, we will get the total area of the figure.

117 cm^2 + 27.5 cm^2 = 144.5 cm^2
Your answer is 144.5 cm^2 or the first option.

Hope this helps!

8 0

3 years ago

71+50+6x-1=180 excuse the 121

UNO [17]

Answer:

9 1/3

Step-by-step explanation:

That is wrong i tried to answer it but messed up so don't use it

6 0

3 years ago

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Find two numbers whose sum is 28 and ￼whose difference is 13

Find two numbers whose sum is 28 and whose difference is 13