While making a sketch for art class, Justin drew the shape shown and then wanted to make sure the triangles were perfectly congruent. After labeling the figure, he used a ruler and found that DF and GE bisect each other at point H.

Which of the following could Justin use to prove ∆DEH ≅ ∆FGH?
A. SAS
B. SSA
C. definition of perpendicular bisector
D. alternate interior angles are congruent

While Making A Sketch For Art Class, Justin Drew The Shape Shown And Then Wanted To Make Sure The Triangles

Answers

Answer 1

The two triangles have a pair of corresponding sides as well as the

included angles between them that are equal.

Justin could prove that ΔDEH ≅ ΔFGH by A. SAS

Reason:

The known information are;

DF bisects GE, therefore; GH = EH

GE bisects DF, therefore; DH = FH

∠DHE = ∠FHG by vertical opposite angle theorem

Therefore;

DH and EH in triangle ΔDEH = FH and GH in triangle ΔFGH

∠DHE in triangle ΔDEH = ∠FHG in triangle ΔFGH

Therefore, two sides and an included angle triangle in ΔDEH are equal to (congruent) to the corresponding two sides and an included angle in ΔFGH.

Therefore;

ΔDEH ≅ ΔFGH by SAS, Side-Angle-Side congruency theorem

Learn more here:

https://brainly.com/question/14418374

Answer 2

The answer would be SAS


Step-by-step explanation: SAS


Related Questions

Find the missing angle

Answers

58 degrees……….:..:………..

Answer:

58 degree

Step-by-step explanation:

the total degree of the three interior angles together of a triangle = 180

here 2 sides are given so to find the 3rd angle we can just add the other 2 angles and subtract it from 180

so it'll be

[tex]65 + 57 = 122[/tex]

[tex]180 - 122 = 58 \: degrees[/tex]

answer = 58 degree

Write 360 as a product of primes.
Use index notation when giving your answer

Answers

Answer:

First, find any number that divides evenly into 360. Perhaps the number that comes to mind, since it ends in a 0, is 10. Since 10 divides into 360 and the result is 36, you can write 360 = 10*36.

Step-by-step explanation:

Sana makatulong

what's A ∩ B' in its simplest form?

Answers

Answer:

 

Step-by-step explanation:

If you divide 78 by 34, will the quotient be greater than or less than 34

?

Use the drop‐down menu to select your answer.


The quotient will be
Less Or greater
than the divisor, 34.

Answers

Answer:

The quotient will be less than the divisor, 34.

Step-by-step explanation:

The only way the quotient could be equal to or greater than the divisor if it the number is greater than the divisor squared.

PLEASE HELP DUE TONIGHT WITH STEPS

Answers

Answer:

x>=-8 and a colored in point on negative eight with an arrow to the right

Step-by-step explanation:

-7x<=56 is the given

to solve, we would divide both sides by -7. However, when dividing an inequality, the direction of the inequality sign flips (if you've heard the alligator example, the mouth opens in the opposite direction it was before)

so we know have x>=-8

On the number line, the colored in dot represents that the value it is on is within the set, and since this can also be equal to -8 we have to use a colored in dot because its within the possible values. If it was not <= or >= then we would use an open circle to represent it cannot be that value but can be anything in the direction the arrow is pointing.

The arrow would point to the right because x can be larger or greater than -8 as well

anybody help? reporting fake answers tysm!!

Answers

Answer:

2-----10

1-----5

3-----15

Step-by-step explanation:

For every 1 cup of blue paint, there are 5 cups of yellow paint

Hope this helps!

What is the missing value??

Answers

the missing value is 17.

Answer:

17

Step-by-step explanation:

The 'y' is increasing by 4 every time 'x' is going up by 1

Can somebody help me

Answers

Answer:

Step-by-step explanation:whtyui

fgj

helllooooooo

Please Help Me I Really Really Need It : (
I Will Mark you Brainliest If You Answer My Question Correctly.​

Answers

Answer:

C. Find the sum/difference.

1. 6 1/28

2. 7 2/9

3. 12 5/9

4. 9 14/15

5. 8 17/20

D. Add/Subtract

1. 9 2/15

2. 8 7/20

3. 8 9/10

4. 9 1/2

5. 7 5/9

E. Activity 3

1. 15 5/12 C.

2. 5 1/6 A.

3. 1 1/2 B.

4. 11 1/2 D.

5. N = 9 1/14 C.

F. Part 4

1. 16 7/40 C.

2. 16 7/15 A.



11b.) How many students have

between 10 and 25 video games?

5

20

25

10

15

Number of video games

11c.) How many students have

fewer than 5?

Answers

Is there a graph or a chart for this question?

Solve for a
T
U
4x 10
12x + 151
S

Answers

Answer:

x = 10

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

12x + 15 is an exterior angle of the triangle , then

12x + 15 = 4x + 10 + 85 , that is

12x + 15 = 4x + 95 ( subtract 4x from both sides )

8x + 15 = 95 ( subtract 15 from both sides )

8x = 80 ( divide both sides by 8 )

x = 10

[tex]\sf 700+1000+80[/tex]

Answers

1,780 is the correct answer

Answer:

1780

Step-by-step explanation:

700 + 1000 = 1700

1700 + 80 = 1780

Below are two parallel lines with a third line intersecting them 107

Answers

Answer:

x° = 107°

Step-by-step explanation:

Given that m < 107° and m < x° are alternate interior angles that do not have a common vertex on alternate sides of the transversal, then it means that they have the same measure. It also implies that their supplements will have the same measure, 73°.

Therefore, x° = 107°.

Please mark my answers as the Brainliest, if you find this helpful :)

Answer:

107

Step-by-step explanation:

they r on opposite sides so they are the same.

What is the quotient 6/7 and 3/14?

Answers

The answer is 4.
Step by step explanation in photo

Help meh, i need help

Answers

1. -6x7 but the 7 is the tiny number

Answer: #1: 4[tex]\\\sqrt{2}[/tex]

#2: -6x^7

Step-by-step explanation:

#1 simplify the radical expression

10[tex]\sqrt{2}[/tex] - [tex]\sqrt{72}[/tex]

10[tex]\sqrt{2}[/tex] - 6[tex]\sqrt{2\\}[/tex]

collect like terms

Solution: 4[tex]\sqrt{2}[/tex]

#2 combine like terms

-3*2 = -6 then add the 5 and 2

given f(x)=-x-1 find (6)

Answers

Answer:

[tex]{ \rm{f(x) = - x - 1}} \\ \\{ \rm{f(6) = - 6 - 1}} \\ \\ { \rm{f(6) = - 7}}[/tex]

Answer:

f(6) = -7

Step-by-step explanation:

It is given that x = 6. Plug in 6 for x in the given equation:

f(x) = -x - 1

f(6) = -(6) - 1

Note that when you are subtracting two negative numbers, you are really adding the two numbers:

f(6) = -(6) - 1

f(6) = -7

When x = 6, f(x) = -7

~

RQ is a perpendicular bisector to PS at Q between P and S.

Answers

Answer:

r

Step-by-step explanation:

Cómo se resuelve esto?


(2-x)²=36

Answers

Aquí esta la respuesta

Answer:

Step-by-step explanation:

You have to factor but we start by simplifying both sides which will be x^2-4x+4=36. Then you subtract 36 from both sides

x^2-4x+4-36=36-36

x2-4x-32

Now that the equation is set up, you can factor

(x+4)(x-8)Set the factors equal to 0

x=-4 or

x=8

I NEED HELP ASAP. BRAINLIEST TO THE CORRECT ANSWER.

Jane invests £300 at a simple interest rate of 4.5% per year. At the end of each year, Jane gives the interest to a charity Work out the least number of years it will take for the total amount given to the charity to be greater than £50. Show your workings.

Answers

Answer:

At least 4 years

Step-by-step explanation:

Simple interest is given by

I = Prt

so here, one year's interest is

I = 300(.045) = 13.5

Divide 50 by 13.5 and get 3.7 years...thus

she will need four years to donate 50...

Step-by-step explanation:

Interest Rate = (Simple Interest × 100)/(Principal × Time).

given

Principal(P) = 300

Interest Rate(I.R) = 4.5%

Simple Interest(S.I) = 50

required

Time(T)

I.R = (S.I × 100)

(P ×T)

T × I.R = (S.I × 100) ×T

I.R (P × T) × I.R

T = (S.I × 100)

(P × I.R)

= (50 × 100)

(300 × 4.5)

= 5000

1350

=3.7

Plz help I been stuck on this homework all night

Answers

Answer:

y = -1/5x - 10

Step-by-step explanation:

Pick any two points on the line.

(0,-10) and (50,-20)

find the slope by using m = y2-y1/x2 - x1(rise over run)

m = -20-(-10) / 50 - 0

m = -10/50 = -1/5 -- this is your slope

slope intercept form is y = mx + b, but we need to find your b, which is your y intercept. you find this by asking yourself, what is the y coordinate when x = 0? It is -10.

so now you have all the points you need.

y = mx + b

y = -1/5x - 10

solve the inequality. 4w < 0​

Answers

Answer:

w<0

Step-by-step explanation:

divide both sides by 4

Answer:

0<0

Step-by-step explanation:

divide both sides by 4 and it leaves you with 0 on both sides.

I’ll give brainliest PLEASE HELP!!

A family pays to park their car and buy tickets at a baseball stadium. The
table shows the linear relationship between the number of tickets and the total cost, including parking.

A. 11.50
B. 13.50
C. 17.00
D. 8.50

Answers

Answer:

D. 8.50

Step-by-step explanation:

A. 11.50

B. 13.50

C. 17.00

D. 8.50

The cost of each ticket will be $8.5. Then the correct option is D.

What is a linear equation?

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

A family pays to enter a baseball stadium, park their car, and purchase tickets. The table displays the linear correlation between the number of tickets issued and the overall expense, which includes parking.

The slope is given as,

m = (57.50 - 40.50) / (5 - 3)

m = 17 / 2

m = 8.5

Let 'y' represent the total cost, 'x' represents the cost of the ticket, and 'c' represents the cost of parking. Then the equation is given as,

y = 8.5x + c

The cost of each ticket will be $8.5. Then the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ5

PLZZZ HELP ASAP ON THIS I NEED IT NOW

Answers

Answer:

1.) x={ -4,-2,0,2,4}

y={ -4,-2,0,2,4}

2.)x={ -4,-2,0,2,4}

y={{-5,-1,3,7,11}

Step-by-step explanation:

in coordinates:

1.)(-4,-4) (-2,-2) (0,0) (2,2) (4,4)

2.)(-4,-5) (-2,-1) (0,3) (2,7) (4,11)

A lobster weight 42 1/5kg A crab weight 41/5kg less than lobster what is their combined weight​

Answers

Crab Weight

= 42 1/5 - 41/5

= 211/5 - 41/5

= 170/5

Combined weight

= 170/5 + 211/5

= 381/5

= 76 1/5

#LearnWithEXO

PLEASE HELP ME!
Explain what the algebraic solution of a system of two linear equations is and what that means in terms of the graphs of the equations of the system. Use AT LEAST 2 complete sentence in
your explanation. (3 points)

Answers

San ine to you bhai account and I will

1 1/2 ÷3/4



1 one half divided by 3/4

Answers

Answer:

2

Step-by-step explanation:

1.5 divided by .75

Answer:

2/3 or 0.66666666666

Step-by-step explanation:

how would you solve this, need help

Answers

ok umm i fell asleep bye

Answer:1,829

Step-by-step explanation:

Rise over run please?????????

Answers

Answer:

1/3

Step-by-step explanation:

up 1 right 3

M= rise/run M= 1/3


Rise 1 run 3

Mason is running a lemonade stand. He sells each cup of lemonade for $2.50,and he spent $15 on the
supplies to set up his stand, Write an equation to represent the amount of money mason has after he has sold x cups of lemonade.

Answers

$2.50x - $15

Step-by-step explanation:

He is making $2.50x (x = amount of drinks sold)

Than we subtract the amount of money he lost - $15

$2.50x - $15

Hope this helps.

easy one - giving brainly if correct AND WORK IS SHOWN​

Answers

Answer:a 750g bag is better.

Step-by-step explanation: 3 bags would be more G the 2kg and less money 0.23/100 grams 700 g would be 1.4$ for that so 750 g is the best.

Answer:

750 grams at $1.39

Step-by-step explanation:

To make it easy to see, determine how much each option costs per gram.

750 grams cost 1.39.  Divide 1.39 by 750 which gives you 0.001853

2 kg is 2000 grams costing 3.99.  Divide 3.99 by 2000 which give you 0.001995

100 grams cost $0.23.  Divide 0.23 by 100 which gives you 0.0023

So the 750 grams is the best price.

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