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3 years ago

Which fact is not used to prove that XYZ is similar to VYW

Mathematics

1 answer:

abruzzese [7]3 years ago

3 0

Answer: The correct answer is: C) X, V and Y are collinear points.

Explanation: Three points being collinear does not do much in a similarity proof.

In order to prove similarity, we want to prove that all of the angles of one triangle are congruent to all of the angles of the other triangle.

The reflexive property showing an angle is congruent to itself helps do this.

The Corresponding Angles Postulate helps to prove angles are congruent.

A transversal can help prove angle congruence.

Collinear points will prove that angles sum to 180°, which will not help us prove similarity between triangles.

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The length of a rectangle is 3 meters greater than 2 times the width. The perimeter of the rectangle is 30 meters.What is the le

faust18 [17]

Answer:

11 meters

Step-by-step explanation:

Lets say that w = width of the rectangle, to start. If the length of the rectangle is 3 meters greater than 2 times the width, the length of the rectangle is equal to 3 + 2w.

The perimeter of the rectangle is 2 * length of rectangle + 2 * width of the rectangle. With the perimeter being equal to 30 and width being w and length being 2w+3:

The perimeter of the rectangle is 2(w) + 2(2w+3) = 30.

We first need to find out w first, which will give us the width of the rectangle. Taking it step by step, we get:

2w + 4w + 6 = 30

6w + 6= 30

6w = 24 which is done by subtracting both sides by 6 to put the variables on one side and the values on the other side

w = 4 which is done by dividing 6 on both sides

Ultimately, this gets width to be 4 meters. Now that we found the width, we need to plug w = 4 into the equation we set up for length which is 2w+3.

That being said, the ANSWER is:

length of rectangle = 2(4)+3 = 11 meters

Hope this helps! :)

4 0

3 years ago

Solve the equation and graph the solution(s), if possible. 9|4p + 2| + 8 = 35

Cerrena [4.2K]

Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation. A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. Whatever we do to one side, has to be done on the opposite side.

$9|4p + 2| + 8 = 35$

$
9|4p+2|=35-8
 
$ $Subtract \ 8 \ from \ both \ sides$

$9|4p+2|=27

 
$

$|4p+2|= \dfrac{27}{9}$ $Divide \ both \ sides \ by \ 9$

$|4p+2|=3$

$Break \ down \ the \ problem \ into \ these \ 2 \ equations$

$
4p+2=3
 
$

$-(4p+2)=3$

$Solve \ the \ 1st \ equation: \ 4p+2=3$

$4p=3-2$ $Subtract \ 2 \ from \ both \ sides$

$4p=1$

$p= \dfrac{1}{4}$ $Divide \ both \ sides \ by \ 4$

$Solve \ the \ 2nd \ equation: \ -(4p+2)=3$

$-4p−2=3$ $Simplify \ brackets$

$-4p=3+2$ $Add \ 2 \ to \ both \ sides$

$-4p=5$

$p= -\dfrac{5}{4}$

$Collect \ all \ solutions$

$p= -\dfrac{5}{4}$ , $p= \dfrac{1}{4}$

8 0

3 years ago

What is the common ratio of the sequence -2,6,-18,54

sdas [7]

Common ratio, r is found by dividing the next term by the previous term

r = $\frac{6}{-2}$ = -3
you can see this value is true for any consecutive pairs of terms
also, multiply by -3 to get the next term

8 0

3 years ago

Find the volume plz help me I need this uwuiw

Rzqust [24]

To find the volume of a rectangular prism, we can use the equation v=wlh or volume=width*length*height.
Thus, all we need to do to solve is insert the known values into the equation.
V=3*4.4*16.75
Now solve.
V=13.2*16.75
V=221.1
The volume is 221.1 Cubic inches.
Hope this helps!

8 0

4 years ago

Does anyone know the answer ?

Ipatiy [6.2K]

Y = 3x - 8
Because y = mx + b, where m is the slope and b is the y-intercept, just substitute the two numbers.

6 0

3 years ago