What value of x will make the triangles similar by the SSS similarity theorem?

x =

Answer:

2.23606797749979

Midpoint

(2,−4.5)

Slope

0.5

x intercept

11.00

y intercept

−5.50

Step-by-step explanation:

d = √  ((X2-X1)2+(Y2-Y1)2)

d = √ (1-3)2+(-5--4)2

d = √ ((-2)2+(-1)2)

d = √ (4+1)

d = √ 5

The distance between the points is 2.23606797749979

The midpoint of two points is given by the formula

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2

Xm=(3+1)/2=2

Find the Y value of the midpoint

Ym=(Y1+Y2)/2

Ym=(-4+-5)/2=-4.5

The midpoint is: (2,-4.5)

Graphing the two points, midpoint and distance

P1 (3,-4)

P2 (1,-5)

Midpoint (2,-4.5)

The length of the black line is the distance between the points (2.23606797749979)

Find the slope of the line connecting the two points

Slope =  (Y2-Y1)  =  (-5--4)  =  (-1)  = 0.5

(X2-X1) (1-3) (-2)

Find the equation of the line passing through the two points

The general equation for a straight line is

y = mx + b

Where m represents the slope of the line which we found in the previous step to be 0.5

y = 0.50x + b

We substitute x and y for the values from one of our points (3,-4)

-4 = .50×3 + b

-4 = 1.50 + b

-4-1.50 = b

-5.50 = b

Knowing both b and m, we can contruct the equation of the line

y= 0.50x-5.50

X and Y intercepts

The x-intercept is a point on the graph where y is zero

Using the equation we found in the previous step and substituting zero for y

y= 0.50x-5.50

0= 0.50x-5.50

-0.50x= -5.50

x= -5.50/-0.50 = 11.00

The x intercept for this straight line is 11.00

The y-intercept is a point on the graph where x is zero

Using the equation we found in the previous step and substituting zero for x

y= 0.50×0-5.50

y= -5.50

The y intercept for this straight line is -5.50

Answer:

$4.20

Step-by-step explanation:

0.15 x $28.00=$4.20.

Answer:

x=11

Step-by-step explanation:

-5x=-4x-11

-5x+4x=-11

-x=-11

x=11

Answer:

Jacky is correct

Step-by-step explanation:

If you look closely, There's another point A which an apostrophe. (A')

This normally means that this is  point A after a dilation was made.

The image got bigger.

Answer:

111

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

Answer:

i think 4 attires

Step-by-step explanation:

Answer:

44 i believe

Step-by-step explanation:

Answer:

Step-by-step explanation:

Part (A).

Angles ABC and CBD are the supplementary angles.

Therefore, m(∠ABC) + m(∠CBD) = 180°

Now substitute the measure of each angle in the equation,

(5x + 12)° + (13x + 24)° = 180°

18x + 36 = 180

18x = 180 - 36

18x = 144

x = 8

Part (B).

m∠ABC = (5x + 12)

             = 5(8) + 12

             = 52°

m∠CBD = (13x + 24)

             = 13(8) + 24

             = 104 + 24

             = 128°

Part (C).

We can check the results by adding measures of these angles.

m∠ABC + m∠CBD = 52 + 128

                               = 180°

Therefore, both the angles are supplementary angles which is already given.

Answer:

y=3/2x+1

Step-by-step explanation:

y=mx+b is the slope-intercept form

y=3/2x+b

we are looking for b now

plug in the points you provided

2=x, 4=y

4=3/2(2)+b

4=3+b

b=1 which is the intercept

Answer:

9 miles, or 47520 feet :)

Step-by-step explanation:

Answer:

47520

Step-by-step explanation:

3x3=9

5280*9=47520

Answer:

A number line with a closed circle on 6 and shaded to the right.

Step-by-step explanation:

Answer:a number line with a closed circle on 6 and shading to the right

Step-by-step explanation:I think I’m right! Good luck

Answer:

83/13 or 6.3846

Step-by-step explanation:

i subsituted for x and used a calculator

Answer:

-11 and 24

Step-by-step explanation:

(-3)-8=-3*(-8)=24

-3-8=-11

hope this helps

brainliest?

Answer:

The number is 8

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

It is point d

Step-by-step explanation:

Answer:

i got an=-4+22 not thats not one of the answer choices..

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Scientific notation exponents are in order from least to greatest and 8.1 > 6

Answer:

9/28

Step-by-step explanation:

just divide by 2

Answer: 9/28

Steps: 18/56

Factor the number:  8 = 2 · 9

Factor the number:  56 = 2 · 28

Cancel the common factor: 2

9/28

Plz mark brainliest:)

Answer:

y=2/3x-2

Step-by-step explanation:

Answer:

1= -25

2=  22

3= 0

4= -34.5

Answer:

1 negative

2 positive

3 zero

4 negative

Step-by-step explanation:

Hope this helps :D

Answer:

Amy and John both run 3 meters in 1 second

Step-by-step explanation:

Amy: 150/50=3 meters in 1 second

John: 1200/400=3 meters in 1 second

Answer:

15/56

Step-by-step explanation:

5/8 * 3/7 =

15/56

Answer:

15/56

Step-by-step explanation:

5/8 times 3/7

[tex]\frac{5 times 3}{8 times 7}[/tex]= 15/56 which is already in simplest form

Please correct me if I am wrong.

Step-by-step explanation:

Hey there!

The given points are; (-4,-1) and (4,2).

Use slope formula.

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]m = \frac{2 + 1}{4 + 4} [/tex]

Simplify it.

[tex]m = \frac{3}{8} [/tex]

Therefore, the slope is 3/8.

Hope it helps...

Answer:

A (-4,9) B (-4,11) C (-6,10)

Last option is correct

Step-by-step explanation:

To rotate the vertices about the given point at 90 degrees, we follow the procedures below;

Mathematically, if we have a point (m,n) and we want to rotate it 90 degrees about a given point (x,y). Then the new transformation point will be;

( -(n-y) + x , (m-x) + y)

Let’s now take the points individually;

(3,2 ) about (-4,2)

This becomes

(-(2-2) + (-4), (3+4) + 2) = (-4 , 9)

The point (5,2) about (-4,2) becomes

(-(2-2) + -4, (5 + 4) + 2 )= (-4, 11)

and lastly

The point (4,4) about (-4,2) becomes

(-(4-2) + (-4), (4 + 4) + 2) = (-6, 10)

Answer:

It is a Isosceles triangle

Step-by-step explanation:

The name of the triangle is an isosceles triangle.

Option B is the correct answer.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

Right:

A right triangle is a triangle that has one angle measuring 90 degrees (a right angle).

It can have different side lengths and angles, but it must have one right angle.

Isosceles:

An isosceles triangle is a triangle that has at least two sides of equal length and the corresponding angles opposite those sides are equal.

The third side can have a different length, and the third angle opposite that side will be different from the other two angles.

Scalene:

A scalene triangle is a triangle that has no sides of equal length and no angles of equal measure.

All three sides and angles are different.

Obtuse:

An obtuse triangle is a triangle that has one angle that measures greater than 90 degrees (an obtuse angle).

The other two angles will be acute angles, measuring less than 90 degrees.

It can have different side lengths, but it must have one obtuse angle.

So,

The name of the triangle in which two sides have the same length and the corresponding two angles have the same size is an isosceles triangle.

Therefore,

The name of the triangle is an isosceles triangle.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ7

Answer:

- 0.000105156(x - 50)² + 0.64008

Step-by-step explanation:

Given the curve function model : -0.000345(x - 50)² + 2.1 ; Which is measured in feets :

To convert the curve model in feets to metres +, using the function :

m(x) = 0.3048x

Multiply m(x) by r(x)

Hence,

m(r(x)) = 0.3048(-0.000345(x - 50)² + 2.1)

m(x) = - 0.000105156(x - 50)² + 0.64008 ; measured in meters

Answer:

ok what is it

Step-by-step explanation: