Figure A is a scale image of Figure B.
12.5
2
Figure A
5
Figure B
What is the value of x?

The value of x is 20

A parallelogram is a quadrilateral with equal opposite sides

Since the opposite sides of a parallelogram are equal, then the following equation is true

[tex]6x - 57 = 3x + 3[/tex]

Divide through by 3

[tex]2x - 19 = x + 1[/tex]

Collect like terms, in the above equation

[tex]2x - x = 19 +1[/tex]

Evaluate the like terms

[tex]x = 20[/tex]

Hence, the value of x is 20

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Answer: eighty six point zero four zero zero five. OR eighty six and four thousand five, hundred thousandths

Step-by-step explanation:

the place value answer is a little confusing but its correct i believe

Answer:

The rational function that might have the given graph is [tex]y = - \frac{x}{(x+1)\cdot (x-1) }[/tex].

Step-by-step explanation:

This graph shows a rational function whose numerator is a first order polynomial and denominator is a second order, due to the presence of vertical asymptotes at [tex]x = -1[/tex] and [tex]x = 1[/tex]. The lead coefficient of the numerator must be 1, since horizontal asymptote must be [tex]y = 0[/tex] and intercept must be [tex]0[/tex], since [tex]y(0) = 0[/tex].

Then, we conclude that a rational function that might have the graph is:

[tex]y = - \frac{x}{(x+1)\cdot (x-1) }[/tex] (1)

We present the proof that given function is appropriate.

Answer:

D. 31

Step-by-step explanation:

Given:

[tex] f(x) = 4x^3 - 10 [/tex]

[tex] g(x) = \frac{3x - 4}{2} [/tex]

Required:

The value of g(f(2))

First, find f(2).

Substitute x = 2 into [tex] f(x) = 4x^3 - 10 [/tex].

[tex] f(2) = 4(2)^3 - 10 [/tex]

[tex] f(2) = 4*8 - 10 = 32 - 10 [/tex]

[tex] f(2) = 22 [/tex]

Next, find g(f(2)).

[tex] g(f(x)) = \frac{3(22) - 4}{2} [/tex]

[tex] g(f(x)) = \frac{66 - 4}{2} [/tex]

[tex] g(f(x)) = \frac{62}{2} [/tex]

[tex] g(f(x)) = \frac{62}{2} [/tex]

[tex] g(f(x)) = 31 [/tex]

Answer:

i t s C i t h i n k s o i t h i n k t h i s wouod help u

it is 15 cuz 15-4=11 and ,16-5=11

The missing number in the expression equivalent to 16 - 5 is 15 - 4.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, two expressions ___ - 4 = 16 - 5.

Now, RHS of the expression can be written as,

16 - 1 - 4.

= 15 - 4.

Therefore, LHS of the equation is 15 - 4.

So, 15 - 4 = 16 - 5.

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Answer:

7/25

Step-by-step explanation:

Answer is C

Answer:

64

Step-by-step explanation

Answer:

[tex]x = 19[/tex]

Step-by-step explanation:

Given

Shape: Regular Dodecagon

Interior Angle = 8x - 2

Required

Determine x

The sum of n terms of a regular polygon is:

[tex]Sum=180(n-2)[/tex]

Sides of a dodecagon is 12; So, we have:

[tex]Sum=180(12-2)[/tex]

[tex]Sum=180(10)[/tex]

[tex]Sum=1800[/tex]

Each angle is gotten by dividing 1800 by 12

[tex]Angle = \frac{1800}{12}[/tex]

[tex]Angle = 150[/tex]

Equate this to 8x - 2:

[tex]8x - 2 = 150[/tex]

Solve for x

[tex]8x = 150 + 2[/tex]

[tex]8x = 152[/tex]

[tex]x = 152/8[/tex]

[tex]x = 19[/tex]

Answer:

Step-by-step explanation:

1 and 2.

slope is m = ( y2-y1) / (x2-x1)

slope of BC = 5-3 /6-1 = 2/5

slope of AD = 1 +1 / 7-2 = 2/5

3 and 4

use the distance formula d= √(x2-x1)² +(y2-y1)²

BC = √( 6-1)²+(5-3)² = √5²+2²= √29

AD = √(7-2)²+(1+1)² = √5²+2² = √29

5.

since BC and AD have the same slope then they are parallel

since BC and AD are same length the segments are ≅

so ABCD is a rectangle

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

∠Q≅∠F

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides of the triangles are equal and all the three angles are equal.

Given that: In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°.

Hence we can say that ΔDEF is congruent to ΔPQR. According to the side-angle-side (SAS) triangle congruence theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Therefore:

DF = PQ, DE = PR, EF = RQ, ∠D = ∠P, ∠E = ∠R and ∠F = ∠Q

Answer:

a: 1/7 +2/7

b:1/7 +1/7+1/7

The formula for density is d = m/v.

d = density

m = mass

v = volume

The volume of the rock is 15 cubic centimeters.

The mass of the rock is 45 grams.

Now just plug these into the formula and solve.

d = 45/15.

45/15 = 3.

The density of the rock is 3 grams per cubic centimeters.

Mass of the rock = 45 g

Volume of the rock = 15 cubic cm

Density = Mass / Volume

By putting the respected values, we get

Density = 45 g / 15 cubic cm = 3 gram/cubic centimeter

Density of the rock is 3 gram/cubic centimeter.

Answer:

1.Many pairs of triangles designed into a building, for example as roof ends, would be congruent, so the roof beam and the top edges of the walls are horizontal.

2.The congruent triangle is used in most of the building that are design to stay in bad conditions and Strong winds for Example the Sydney Bridge.

3.in real life two triangles are rarely exactly congruent. However they are crucial in the construction of large man-made structures. This is because a triangle is the most stable shape and the congruence is needed to create even surfaces.

Answer:

726.7 hope this helps

Answer:

where are the measurements?

Step-by-step explanation:

Answer:

Hello,

Statement:                        Reasons:

BC/CD = AC/CE                 1. Given

∠BCA = ∠ECD                    2. Vertical ∠'s =

△ACB ~ △ECD                   3. SAS

Hope it helps!

Step-by-step explanation:

Answer:

i believe the answer would be number 4

Answer:

the answer should be 18.5

Answer:

Step-by-step explanation:

x=0 is the equation because is just a vertical line

Answer: X=0

Step-by-step explanation:

Hey there!

“-3 < x - 10”

SOME people treat the “<” “>” as an equal sign to make these types of problems easier to solve!

-3 = x - 10

Flip the equation around

x - 10 = -3

ADD both of your sides by 10

Like: x - 10 + 10 = -3 + 10

CANCEL out: -10 + 10 because it gives us 0

Keep: -3 + 10 because it gives us the value of x

-3 + 10 = x

Solve that above and you have your answer: x = 7 ☑️

Overall answer: x < 7

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

x=-3, y = 4/9

Step-by-step explanation:

This is in equation form.

Answer:

Step-by-step explanation:

monthly express as p

in a year she will have 12p+5,500

Answer: c

Step-by-step explanation: 1:4 is 4 times the flour to water and 2:8 is also 4 times the flour

Answer:

c. 35 miles per hour

Answer:

The answer is 82 degrees.

Answer:

6 apples.

How I solved it:

2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3=

18/3

18/3=6

3/3=1

6/1= 6 apples.