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

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Answer 2

The answer would be SAS


Step-by-step explanation: SAS


Related Questions

i know its easy but i forgot how to do this pls heeeelp me

Answers

Answer:

First number line: 3rd line from 0

Second number line: 7th line from 0

(Sorry if I explained it kinda weird, hope this helps!)

Step-by-step explanation:

On the first number line, you would put the dot on the 3rd line from zero. From 0 to one, it's split into 5 equal parts. 0 is 0/5 and 1 is 5/5. So all you do is  plot the dot on 3/5, or the 3rd line from 0.

Same thing with the second number line. Except for this time, it's split into 8 equal parts. Just count to the 7th line in between 0 and 1 and plot the dot.

The perimeter of a rectangle window is 362 cm. If the length of the window is 97 cm, what is its width?

Answers

Answer:

w=84cm

Step-by-step explanation:

97

cm

P Perimeter  

362

cm

Using the formula

P=2(l+w)

Solving forw

w=P

2﹣l=362

2﹣97=84cm

Sorry explanation is short, hope i helped u

Which fraction is equal to 0.245 repeating

Answers

Answer:

The answer is option B!

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Okay which fraction is equal to 0.370?

Answers

It should be B) because it the closest.

Solution:

[tex]Let \: \: \: \: x = 0.370370.... \\ therefore \: \: \: x \: = 0.370370... \\ = > 1000x = 370.370370... \\ = > 1000x - x = 370.370370... - 0.370370... \\ = > 999x = 370 \\ = > x = \frac{370}{999} [/tex]

Answer:

B)

[tex] \frac{370}{999} [/tex]

Hope it helps

Pls Help
Can i make -14/21 into a whole number?

Answers

Answer:

no

Step-by-step explanation:


Mike went to the store to buy shirts. The shirts were $45 each. The store was offering the following discount:
Buy 1 shirt at regular
price and get any 2
shirts of the same
price for 40% off!
Mike decided to buy 3 shirts. Not including sales tax, how much money did Mike save by buying the shirts at the discounted price?
$36
$54
$81
$99

Answers

Answer:

Mike saved 54 dollars

Step-by-step explanation:

because 40% of $45 is $18. so that makes the other 2 shirts 27 dollars a piece. so he saves  a lot of money.

Select the equation which represents solving for the variable y.



−3x+3y=−21


y=x−7

y=x+7

y=3x−21

y=3x+21

Answers

Answer:

y = x-7

Thanks...........

(20 POINTS, RIGHT ANSWER ONLY PLEASE)
What value is needed to prove the triangles are similar by SAS~?

Answers

they both have the same degrees on each angle

Lydia's bedroom has an area of 108 square feet. The length of the room is 12 feet long. What is the width of the room?

Answers

Answer: 9 Feet

Step-by-step explanation:

Answer:

hey it's the A xbxjdjdjdjdnd

30 points for the correct answer

Answers

Answer:

its either 2/9 or 2/3

Step-by-step explanation:

I solved the top part and got 2/3 and i solved the bottom part and got 1/3 and you can multiply 2/3 and 1/3 and got 2/9

A _________ indicates the outer edge of a roadway, and it may be crossed only by traffic moving to or from the shoulder.

Answers

Answer:

edge lines

Step-by-step explanation:

Given the endpoints D(-2, 3) and L(4,1)
Find the midpoint of DL.

Answers

Answer:

Midpoint = (1,2)

Step-by-step explanation:

Using coordinates: D(-2,3) and L(4,1)

Using the midpoint formula:

Midpoint of DL = (D1 + L1) / 2, (D2 + L2) / 2

Midpoint of DL = (-2 + 4) / 2, (3 + 1) / 2

Midpoint of DL = (2) / 2, (4) / 2

Therefore the midpoint of DL is (1,2)

what is the inequality shown here

Answers

Answer:

[tex] - 3 \leqslant x < 2[/tex]

I hope I helped you^_^

help me with this:(((​

Answers

Answer:

3

Step-by-step explanation:

I will give brainiest who can help me get this right!!​

Answers

Answer:

it's D

Step-by-step explanation:

The equation equals 2 1/8 so yeeyeyye

Answer:

Option D

Step-by-step explanation:

11/8=1.3750

3/4=0.75

Now,

Since, this is the sum both the lines must be in positive in direction.

Option D is the only one with such quality, so no further process is required.

Which is the solution to 5 <3x + 17 <71?

Answers

Answer:

D is the most likely answer

Step-by-step explanation:

this problem is strange, but knowing that 3x + 17 has a domain of all reals, all of them are possible, so the only limits are 5 and 71...

7v- 5 ≥ 65 or -3v - 2 ≥ -2​

Answers

The result if the inequality expressions are v ≥ 10 and v < 0

Given the following inequality expression

7v- 5 ≥ 65 or -3v - 2 ≥ -2

Solve the inequality individually

7v - 5 ≥ 65

Add 5 to both sides

7v - 5 + 5 ≥ 65 +5

7v ≥ 70

v ≥ 70/7

v ≥ 10

For the inequality-3v - 2 ≥ -2

Add 2 to both sides

-3v - 2 + 2≥ -2 + 2

-3v ≥ 0

v < 0

Hence the result if the inequality expressions are v ≥ 10 and v < 0

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reflection rule over x-axis , (x,y) =(x,-y). reflect over x-axis C(2,3) what is C

Answers

Answer:

(2, -3)

Step-by-step explanation:

Your answer was in the question, just apply the rule that was given (x, -y).

The coordinates of C(2, -3).

What is reflection?

A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection.

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.

Given:

The Rule for reflection is  (x,y) =(x,-y).

As, the coordinates C(2, 3).

Now, after applying the reflection the coordinate of C become

c(2, 3) ----> C(2, -3).

Hence, the coordinates of C(2, -3).

Learn more about reflection here:

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Fran runs 5.4 miles a day. How far will he run in 6 days?

Answers

32.4 miles in 6 days.

Step-by-step explanation-

Given:-

Fran runs 5.4 miles a day.

To find:-

How far will he run in 6 days.

Solution:-

Multiply using the formula

[tex]d = s \times t[/tex]

So, multiply:-

[tex]5.4 \times 6[/tex]

[tex] => \: 32.4 \: miles[/tex]

Therefore, he ran 32.4 miles in 6 days.

✍️ By Benjemin ☺️

what is the probability of flipping a head in 3 consecutive flips of a fair coin?

Answers

the probability is 1/30

.1325 to the thousandth​

Answers

.1325 to the thousandth is 0.133

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

0.133

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]0.1325\\\rule{150}{0.5}\\\rightarrow 0.132\textbf{5} \text{ This is the rounding number.} \\\\\text{Since it is} \geq 5, \text{we will round up.}\\\\\rightarrow 0.1325 \approx \boxed{0.133}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Triangle ABC is shown. What value of x will prove that Triangle ABC is a right triangle?

Answers

In the given triangle ABC in the figure, the value obtained for x will be equal to 6.

What is a triangle?

The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.

As per the given information in the question,

Use the equation of Pythagoras' theorem,

h² = p² + b²

(2x - 2)² = x² + (x - 2)²

4x² - 2(2x)(2) + 4 = x² + x² + 4 + 4x

4x² - 8x + 4 = 2x² + 4x + 4

4x² - 2x² - 8x - 4x + 4 - 4 = 0

2x² - 12x = 0

2x² - 12x = 0

2x(x - 6) = 0

So,

2x = 0

⇒ x = 0, it is not possible.

Or,

x - 6 = 0

x = 6

To know more about Triangle:

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The given question is incomplete, the complete question might be in the attachment.

what is the GCM of 9 and 7

Answers

Answer: See explanation

Step-by-step explanation:

Do you mean the greatest common factor (GCF), or the lowest common multiple (LCM).

If you mean GCF, then it is 1 because 7 is a prime number and has two facotrs (1 and itself) and since 9 isn’t divisible by 7, the GCF must be 1.

If you mean the LCM, the answer is 63. Using prime factorisation, we find the lowest prime factor of both numbers:

9 = 3^3

7= 7^1

Then, we multiply these together to give 63.

You cannot have a GCM, because you can’t find a greatest common multiple as numbers go on forever.

I hope this helps!

What is the value of the 3 in this number?



5,400,387,214
is the value of this number.

Answers

Answer:

The value of 3 is in the three-hundred thousands place

300,000

Which equation represents the line that is parallel to
5
x
+
y
=
13
and passes through the point
(
15
,

31
)
?

Answers

y=-5x-44

Step-by-step explanation:

5x+y=13 passes through (15,31)

rearrange the equation to y=mx+c

5x+y=13

y=-5x+13

substitute the points (15,31)

y=5x+c

31=5(15)+c

31=75+c

-44=c

y=-5x-44

Can be written as 5x+y=-44

pls help I'm confused!​

Answers

Answer:

[tex]112\pi[/tex]

Step-by-step explanation:

hi! for this problem, all we need is the equation for the SA for a cylinder!

here's the equation: [tex]A=2\pi(r)(h)+2(\pi)r^{2}[/tex]

BUT FIRST let's identify our given numbers

the radius, or r, is 4 (r = 4) the height, or h, is 10 (h = 10)

now all we have to do is plug in what is given to the equation above! not so bad, right?

plugged in equation

[tex]A = 2\pi (4)(10) + 2\pi (4)^{2}[/tex]

- now let's simplify!

[tex]2\pi (40) + 2\pi (16)[/tex]

[tex]80\pi + 32\pi[/tex]

[tex]112\pi[/tex]

your answer should be [tex]112\pi[/tex]

comment or message me if you are still confused or have any questions :)

will the point (2, 6) be on the graph of y=3x

Answers

Answer:

the answer is yes it will

Answer:

yes

Step-by-step explanation:

since (x,y) is 2,6, we can take x as 2 and y as 6. For the answer to be yes, y=3x must be equal to the x and y values. Lets plug in the values. Is (6)=3(2)?

3 times 2 is 6! So the answer is yes.

In the triangle, m∠JKL = 3° and m∠KJL = 17°. Find m∠JLM.

Answers

Answer:

160

Step-by-step explanation:

the middle letters ttell you which corner of the triangle has that degree.

all corners added together must equal 180 in a triangle

jkl has k in the middle so k is 3°

kjl has J in the middle so J is 17°

jlm has L in the middle and is unknown

K + J + L = 180

3+17+L = 180

20 + L = 180

L = 160

Answer:160 degrees

Step-by-step explanation:

180-3-17=160

All triangles neasure 180 degrees

Special angle pairs?

Answers

Answer:

x = 113, y = 67

Step-by-step explanation:

y and 67 are vertically opposite angles.

Vertically opposite angles are equal.

y = 67

x and 67 are linear pair angles.

Sum of linear pair angles is 180,

x + 67 = 180

x = 180 - 67

x = 113

Please help me solve this problem

Answers

Answer:

(4x+2)*2+(6x)*2=84feet

8x+12x+2=84

20x+2=84

20x=82

x=4.1

18.4*24.6=452.64

ans:452.64

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