Find the coordinates of the midpoint of each segment formed by the given points, (2,4) and (-4,4)

lisabon 2012 [21]

37 is a prime number

6 0

2 years ago

A telephone pole is 24 feet tall. Curtis, who is standing some distance away from the telephone pole measures the angle of eleva

taurus [48]

The distance from the base of the telephone pole to Curtis is about 15 feet.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let d represent the distance from the base of the telephone pole to Curtis, hence:

tan(51.4) = (24 - 5.2) / d

d = 15 feet

The distance from the base of the telephone pole to Curtis is about 15 feet.

Find out more on equation at: brainly.com/question/2972832

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4 0

2 years ago

The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle

Debora [2.8K]

Answer:

The width of the rectangle is 14'8", and the length is 33'4"

Step-by-step explanation:

We're given two pieces of information:

The length is eight more than twice the width:

$l = 2w + 4$

The perimeter is 96 feet:

$p = 96$

We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:

$p = 2l + 2w$

We can solve for w by plugging the other two values into the last:

$p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}$

Now we can find the length by plugging w into the first equation:

$l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}$

One third of a foot is four inches, so the width is 14'8" and the length is 33'4"

To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:

$p = 2l + 2w\\p = 2(33\frac{1}{3}) + 2(14\frac{2}{3})\\p = 66\frac{2}{3} + 29\frac{1}{3}\\p = 96$

So we know our answer's correct

8 0

2 years ago

Fill in the missing reason in proof.

KiRa [710]

Answer:

SAS

Step-by-step explanation:

<u>As per steps given the congruent pairs are:</u>

AB and AC
BD and CD
Angle B and angle C

So two sides and included angle - it represents side-angle-side or SAS congruency theorem

8 0

3 years ago

Part B A different student claims that the expression 59.2xy is equivalent to the teacher’s expression. The student’s reasoning

nadya68 [22]

Answer:

I think the part he has correct is when they are equal because they intersect at a coordinate, but, he is incorrect because the teacher's expression could be different

Step-by-step explanation:

8 0

3 years ago