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svetoff [14.1K]
2 years ago
12

Given that the right triangles shown are similar, which statements are correct?

Mathematics
1 answer:
Virty [35]2 years ago
7 0

Answer:

Statements A, B , and E are correct

Step-by-step explanation:

Since the triangles are similar the ratio between all the sides are the same.

Therefore, A, B, and E are all true statements.

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1) Find an equation of the line that passes through thr pair of points (-5,-9) and (2,-7).
Yuki888 [10]
1: Assuming this line is linear, the first thing to do is find the slope. 
The slope formula is m=\frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }, so in this case, it is m=\frac{ (-7) - (-9) }{ 2 - (-5) }, which comes to \frac{2}{7}. Then, use your slope and one of the points given to write the point-slope formula of the linear equation, and then written in standard form:
y=\frac{2}{7}x-\frac{53}{7}.

2. Use the same process as in question 1 to find:
y=-7x+11


8 0
3 years ago
Mr. Duval paid $2,730 to rent a home for 6 months. Ms. Phee paid $5,496 to rent a home for 1 year. Which of the following is tru
GalinKa [24]

Answer:

B

$2.730 divided by 6 equals 455

$5,496 divided by 12 equals 458

458-455=3 so the answer is B

4 0
2 years ago
PLEASE HELP ON #3 ASAP!
IrinaK [193]

9514 1404 393

Answer:

  1a: x+3 = 5

  1c: 6 = 2z

  2b: x = 2

  2d: 3 = z

  3: the solutions make the hangars balance

Step-by-step explanation:

1. We can write the equations by listing the contents of the hangar and using an equal sign to show the balance between left side and right side. It can work well to put left side contents of the hangar on the left side of the equal sign.

  A: x + 3 = 5

  C: 1 + 1 + 1 + 1 + 1 + 1 = z + z  simplifies to  6 = 2z

__

2. B: We can subtract 3 from both sides of the hangar (and equation) to find the value of x.

  (x +3) -3 = 5 -3

  x = 2 . . . . . hangar balances with 2 on the right

D: We can divide both sides of the hangar by 2, splitting the content into two equal parts. Then one of those parts can be removed from each side.

  2(3) = 2(z)

  3 = z . . . . . . hangar balances with 3 on the left

__

3. The found values will keep the hangar in balance when they are substituted for the corresponding variables.

  A: 2 + 3 = 5

  C: 1 + 1 + 1 + 1 + 1 + 1 = 3 + 3

4 0
3 years ago
What is the value of x, rounded to the nearest degree? x ≈ ° According to the manufacturer, if the angle the ladder forms with t
DerKrebs [107]

The measure of the value of x is 70.52 degrees.

Given

A 12-foot ladder is placed 4 feet away from a house as shown.

According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.

<h3>What is cos angle?</h3>

The cos theta is defined as the ratio of the side adjacent to the angle and the hypotenuse.

The following formula is used to calculate the value of x;

\rm Cosx=\dfrac{Side \ adjacent \ to \ angle}{Hypotenuse}\\

Where the side adjacent to angle = 4 and hypotenuse is 12.

Substitute all the values in the formula;

\rm Cosx=\dfrac{Side \ adjacent \ to \ angle}{Hypotenuse}\\\\\rm Cosx=\dfrac{4}{12}\\\\\rm Cosx=\dfrac{1}{3}\\\\x=Cos{-1}(\dfrac{1}{3}\\\\x= 70.52 \ degrees\\\\

Hence, the measure of the value of x is 70.52 degrees.

To know more about Trigonometric ratios click the link given below.

brainly.com/question/3630461

5 0
2 years ago
Solve the quadratic equation by completing the square. <br><br>x2 + 4x - 3 = 0
Dafna1 [17]
x^2 + 4x - 3 = 0
This answer should be x = -2 -  \sqrt{7}, based off of Wolfram Alpha.
5 0
3 years ago
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