4. Triangle HEF is the image of triangle FGH after a 180 degree rotation about point K. Select all statements that must be true.

a. Triangle FGJ is congruent to triangle FEH.
b. Triangle EFH is congruent to triangle GFH.
c. Angle KHE is congruent to angle KFG.
d.Angle GHK is congruent to angle KHE.
e. Segment EH is congruent to segment FG.
f. Segment GH is congruent to segment EF.
​

Answer:

Given AD = 7 and DB = 12, to find AB you need to add them

AB = 12+7

AB = 19

The measure of the line segment AB is 19 units.

Suppose we've two endpoints of a line segment as:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

[tex]x = \dfrac{p+m}{2}andy = \dfrac{q+n}{2}[/tex]

We are given that;

AD = 7, and DB = 12

Now,

To find the measure of the line segment AB, we need to use the segment addition postulate. The segment addition postulate states that if a point is between two other points on a line segment, then the sum of the lengths of the two smaller segments is equal to the length of the larger segment.

In this problem, D is between A and B, so we can apply the segment addition postulate and write:

AD + DB = AB

Substituting the given values of AD and DB, we get:

7 + 12 = AB

Simplifying, we get:

19 = AB

Therefore, by the given point the answer will be 19 units.

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Answer:

The slope of the line that is parallel to the given line is [tex]\frac{-7}{4}[/tex]

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercepts

The slope of the line who has an equation ax + by = c is m = [tex]\frac{-a}{b}[/tex]

Let us use these rules to solve the question

∵ The equation of a given line is 7x + 4y = -16

→ Compare it with the form of the equation above

∴ a = 7 and b = 4

∵ The slope of the line = [tex]\frac{-a}{b}[/tex]

∴ The slope of the line = [tex]\frac{-7}{4}[/tex]

∵ Parallel lines have the same slope

∴ The slope of the line that is parallel to the given line is [tex]\frac{-7}{4}[/tex]

Answer:

i may be wrong but i thinks its proportional

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 3

Answer:

i assume you mean divide so its 18308

Step-by-step explanation:

Answer:

[tex]\huge\boxed{(x\cdot x^5):(x^2\cdot x)=x^3}[/tex]

Step-by-step explanation:

[tex](x\cdot x^5):(x^2\cdot x)\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=x^{1+5}:x^{2+1}=x^6:x^3\qquad|\text{use}\ a^n:a^m=a^{n-m}\\\\=x^{6-3}=x^3[/tex]

Answer:

X × X^5 ÷ X^2 ×X

X^3

because the same variable can be cancelled.

Answer: -15

Step-by-step explanation:

I think that's right

Answer:

the x-intercept is (-10, 0) the y-intercept is (-45, 0)

Answer:

X intercept is (-10,0)

Y intercept is (0,-40.5)

Step-by-step explanation:

Hope this helps.

Answer:

[tex]\frac{14}{27}[/tex]

Step-by-step explanation:

I hope this helps!

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[tex] \frac{2}{ - 3} \div (- 1 \frac{2}{7}) = \\ [/tex]

[tex] - \frac{2}{3} \div ( - \frac{ 7}{7} - \frac{2}{7} ) = \\ [/tex]

[tex] - \frac{2}{3} \div ( \frac{ - 7 - 2}{7} ) = \\ [/tex]

[tex] - \frac{2}{3} \div ( - \frac{9}{7} ) = \\ [/tex]

Negatives simplifies

[tex] \frac{2}{3} \div \frac{9}{7} = \\ [/tex]

[tex] \frac{2}{3} \times \frac{7}{9} = \\ [/tex]

[tex] \frac{14}{27} \\ [/tex]

Done...

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Hm, D would equal either 5 or 6.

Answer: d=3

Step-by-step explanation:because if u plug it in that will be grater

Gretal paid $7680 on tax in 2018.

"A percentage is a ratio of a number to 100. The symbol % is used to indicate a percentage."

Given

Earning = 32000

Tax paid = 24%

Amount paid on tax = [tex]32000[/tex] × [tex]\frac{24}{100}[/tex]

= $7680

Hence, she paid $7680 on tax.

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Answer:

The answers are 34 on the in side and 57 on the out side

Step-by-step explanation:

This is because if you subtract 4 from 9, you will get 5. when you subtract 4 from 19, you will get 15.

I hope this helps

Answer:

In: 33 Out: 29

In: 62 Out: 58

Step-by-step explanation:

Lets find the rate of change first;

[tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }=\frac{15-5}{19-9}=\frac{10}{10}=1[/tex]

Answer:

129.42 - 32.56 = 96.86$

Answer:

The y- intercept is 1

Step-by-step explanation:

Since the line crosses the y-axis at 1, the y-intercept is 1. Like the x-intercept. The line crosses the x-axis at um.. I would say about -1.5, so the x-intercept is -1.5.

Hope this helps you!!!

Step-by-step explanation:

i can't see the graph but I have done it before it is middle one

Answer:

Step-by-step explanation:

False

Answer:

slope m = - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x + 7 ← is in slope- intercept form

with slope m = - 1

Answer:

1. (8,2)

2. (-0.25,0)

3. (1,5)

4. (10,3)

5. (6,0)

6. (2,9)

Answer:

The answer is B

Answer:

no

Step-by-step explanation:

u just moved the numbers around

Answer:

no

Step-by-step explanation

The work shown is not correct.

The subtraction sign did not get distributed to the –10i.

The sign on –10i should have changed.

The imaginary part should be 12i.

Answer:

41

Step-by-step explanation:

15+26=41

Answer:

41 minutes

Step-by-step explanation:

If she jogged 15 minutes more on Sunday than Saturday, we can find how many minutes she jogged on Sunday by adding 15 to Saturday's amount:

So, add 15 to 26:

15 + 26

= 41

So, she jogged 41 minutes on Sunday.

Answer:

268

I'm not smart so if u get this wrong, I'm sorry

Step-by-step explanation:

12 x 5 = 60

60 + 208 = 268

Answer:

$2,184

Step-by-step explanation:

Simple interest = (Principal × Rate × Time) / 100

Principal = $6,500

Rate = 2.8%

Time = 12 years

Simple interest = (Principal × Rate × Time) / 100

= (6,500 × 2.8 × 12) / 100

= 218,400 / 100

= 2,184

Simple interest = $2,184

The simple interest on $6,500 at 2.8% for 12 years is $2,184

Answer:

≈ 3.9 miles

Step-by-step explanation:

The third angle in the triangle is

180° - (53 + 78)° = 180° - 131° = 49°

Using the Sine rule in the triangle with distance from 2 being x, then

[tex]\frac{3}{sin49}[/tex] = [tex]\frac{x}{sin78}[/tex] ( cross- multiply )

x × sin49° = 3 × sin78° ( divide both sides by sin49° )

x = [tex]\frac{3sin78}{sin49}[/tex] ≈ 3.9 ( to the nearest tenth )

Answer:

y = 1x/4 +3

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Square the sides you know (A and B) Since you are finding side C the hypotenuse go by these steps:

The square root of the sum is the side length of the hypotenuse.

[tex]10^{2} = 100\\24^{2} = 576[/tex]

100 + 576 = 676

[tex]\sqrt{676} = 26[/tex]