What other information do you need to prove GHK ≅ KLG by SAS?


A. ∠KHG ≅ ∠GLK
B. ∠HGK ≅ ∠LKG
C. ∠GHK ≅ ∠KLG
D. ∠HKG ≅ ∠LGK

What Other Information Do You Need To Prove GHK KLG By SAS? A. KHG GLK B. HGK LKG C. GHK KLG D. HKG LGK

Answers

Answer 1

Step-by-step explanation:

We know that HK and GL are congruent by Given. We can also see that GK is congruent to itself on both sides because of reflexive property. A works, because it corresponds and might fit into SAS. B doesn't, because the two angles don't correspond. C is the same as A, so it will work as well. D's angles correspond, but don't fit SAS.

This means that angle KHG and angle GLK will be congruent, as well as angles GHK and KLG (They're the same angles though).

Answer 2

To prove that [tex]\triangle GHK \cong \triangle KLG[/tex] by the SAS Congruence Theorem, the additional information we need is: D. ∠HKG ≅ ∠LGK

Recall:

If two sides and an included angle in one triangle is congruent to two sides and an included angle in another triangle, both triangles are proven by the SAS Congruence Theorem to be congruent to each other.

Given the image showing [tex]\triangle GHK $ and $ \triangle KLG[/tex], the following are known:

[tex]HK \cong GL\\\\GK \cong GK[/tex]

This implies that two corresponding sides of both triangles are congruent to each other.

However, for us to prove that both triangles to be congruent, we need an additional information that tells us an included angle in one triangle is congruent to a corresponding included angle in the other.

Therefore, to prove that [tex]\triangle GHK \cong \triangle KLG[/tex] by the SAS Congruence Theorem, the additional information we need is: D. ∠HKG ≅ ∠LGK

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Related Questions

Answer pls i need the answer ASAP if you know then pls answer i beg of you.

Answers

Answer:

A 19.8

Step-by-step explanation:

Mrs. Santiago is buying donuts for her office. Each box contains 6 glazed, for cream filled, and two chocolate flavored Donuts. If there were 20 total cream filled Donuts, how many chocolate donuts did she buy?
ANSWER ASAP PLEASE.​

Answers

Answer:

She would get less chocolate donuts then the cream filled donuts

Step-by-step explanation:

so I have 6 glazed donuts I bought, I also bought 2 chocolate donuts, if you subtract that you'd have 18 chocolate donuts

Find the value of c so that (x+1) is a factor of the polynomial p(x)

Answers

Answer:

The answer is in the step by step below (image)

Step-by-step explanation:

will give brainliest

Answers

Answer:

D

Step-by-step explanation:

I hope this helps

Solve the system of equations - x - y = 6 and 5x -7y=66 by combining the equations

Answers

Answer: Let's solve for x.

−x−y=6

Step 1: Add y to both sides.

−x−y+y=6+y

−x=y+6

Step 2: Divide both sides by -1.

−x

−1

=

y+6

−1

x=−y−6

Answer:

x=−y−6

Let's solve for x.

5x−7y=66

Step 1: Add 7y to both sides.

5x−7y+7y=66+7y

5x=7y+66

Step 2: Divide both sides by 5.

5x

5

=

7y+66

5

x=

7

5

y+

66

5

Answer:

x=

7

5

y+

66

5

Step-by-step explanation:

Approximate the solution to this system of equations. y = –2x + 6 y = 4x – 1

Answers

Answer:

x = 1[tex]\frac{1}{6}[/tex], y = 3[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

y = -2x + 6 --- Equation 1

y = 4x - 1 --- Equation 2

Since both (-2x + 6) and (4x - 1) have the same total, y, they are equal.

-2x + 6 = 4x - 1

Isolate the like terms.

6 + 1 = 4x + 2x

Evaluate like terms.

6x = 7

Find x.

x = [tex]\frac{7}{6}[/tex]

x = 1[tex]\frac{1}{6}[/tex]

Substitute x = [tex]\frac{7}{6}[/tex] into Equation 2:

y = 4x - 1

y = 4([tex]\frac{7}{6}[/tex]) - 1

  = 4[tex]\frac{2}{3}[/tex] - 1

y = 3[tex]\frac{2}{3}[/tex]

A stereo costs $418.70, including 6% sales tax. How much was the sales tax itself?

Answers

Answer:

25.12

Step-by-step explanation:

Which system is equivalent to StartLayout Enlarged left-brace 1st Row 5 x squared + 6 y squared = 50 2nd row 7 x squared + 2 y squared = 10 EndLayout?

Answers

Answer:

The answer is D, or the bottom one.

[tex]\left \{ {{5x^2+6y^2=50} \atop {7x^+2y^2=10}} \right.[/tex]  is equivalent to [tex]\left \{ {{35x^2+42y^2 = 350} \atop {-35x^2-10y^2=-50}} \right.[/tex].


An equivalent relation of [tex]\left \{ {{5x^2+6y^2=50} \atop {7x^+2y^2=10}} \right.[/tex]  is to determine.


What is relation?

Relation between two values is defined as the how the value associate with others.

Here,
⇒  [tex]\left \{ {{5x^2+6y^2=50} \atop {7x^+2y^2=10}} \right.[/tex]  
⇒ multiply by 7 in first equation and by -5 in second equation.

⇒ [tex]\left \{ {{35x^2+42y^2 = 350} \atop {-35x^2-10y^2=-50}} \right.[/tex]

Thus, [tex]\left \{ {{5x^2+6y^2=50} \atop {7x^+2y^2=10}} \right.[/tex]  is equivalent to [tex]\left \{ {{35x^2+42y^2 = 350} \atop {-35x^2-10y^2=-50}} \right.[/tex].

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How many extraneous solutions does the equation below have?

fraction numerator 2 m over denominator 2 m plus 3 end fraction minus fraction numerator 2 m over denominator 2 m minus 3 end fraction equals 1

Answers

Answer:

Two extraneous solutions

Step-by-step explanation:

What is the correct value of x?

Answers

Answer:

x= -5

Step-by-step explanation:

First get X alone by dividing both sides by -4.2

-4.2x=21

-4.2. -4.2

then you're left with X = -5

To verify your answers, multiply -5 by -4.2

helppppppp oof this is not what i want to do right bought now so please help

Answers

Hi there! :)

[tex]\large\boxed{\text{H. 2.19}}[/tex]

Let x = number of pounds of grapes and y = cost in dollars:

Find the constant of proportionality by finding the price per pound:

[tex]\frac{6.57}{3} = \frac{c}{1} \\\\2.19 = c[/tex]

Therefore, the constant of proportionality is H. 2.19

The equation, y = 36/x, is an example of what kind of variation?
a.) direct variation
b.) inverse variation

Answers

Answer: Inverse variation

Do the equations 3x + 2y =7 and y= -x + 7 define the same line . plsssss help

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

When the second equation is put in standard form like the first equation is, then you can see they are different. They do not define the same line.

  3x +2y = 7

  x + y = 7 . . . . . second equation in standard form

They don’t define the same line

What is the slope of the line?

Answers

Answer:

-3/2

Step-by-step explanation:

Rise/run

You count down/up however many until the line hits another point, and then go across until it matches. So I counted down 3 squares and over 2, and since it is going down it is negative.

I hope this helps :)

Answer:

all endjsj

dhsieosjskso

PLSS ANSWER
The electricity goes out in a house. The temperature in the house changes by 35 F in 5 hours On
average, by how many degrees is the temperature changing per hour?
7 degrees F

Answers

Lol it goes down 7 per hour

Alya loves to read. She read 90 pages in half an hour. How many pages does she read per minute?

Answers

Answer: 3

90 pages in 30 minutes so divide 90 by 30 and 90 divided 30 = 3

Hope this helps!

Answer: 3

Step-by-step explanation:

Step 1: Divide 90 by 30

Step 2: 90 divided by 30 = 3

6 pounds of strawberries cost $13.50. What is the cost of 50 pounds of strawberries?

Answers

Answer:

$112.50

Step-by-step explanation:

13.50 / 6 = 2.25; this is how much it cost per pound

2.25 * 50 = 112.50

could you help me with this

Answers

I would say the 3rd option because it’s showing the enthusiasm in their voices by adding the exclamation mark

What is the 9th term in the geometric sequence?
a(n)=-6⋅(2)^(n-1)

A. -1536
B. 1536
C. 3072
D. -3072

Answers

The first one will be your answer

The perimeter of a rectangle is 36 cm and its area is 77 sq cm.
Find the dimensions of the rectangle, if the length is x and the
width is y.

Length=______cm

Width=_______cm

Answers

If the perimeter is 36 cm and the area is 77 cm then the length should be 7 and the width is 11. Hope I’m right :)

Answer:

y

Step-by-step explanation:

HELP FIND X AND Y PLS

Answers

Answer:

X=56 Y=56

Step-by-step explanation:

55 points.
Please simplify it .
Don't answer of your don't know.

Answers

Step-by-step explanation:

i) answer =1

ii) 2 -3m + 6n -2 x 3 3-m

Answer:

( i ) [tex]\boxed{1}[/tex]

( ii ) [tex]\boxed{2^{6n - 3m - 2}\times 3^{3 - m}}[/tex]

.

Step-by-step explanation:

( Part i )

[tex]\left(\frac{1}{x^{a - b}} \right)^{a + b}\left(\frac{1}{x^{b + a}} \right)^{b - a}[/tex]

[tex]= \left(\frac{1}{x^{(a - b)(a + b)}} \right)\left(\frac{1}{x^{(b + a)(b - a)}} \right)[/tex]

[tex]= \left(\frac{1}{x^{a^2 - b^2}} \right)\left(\frac{1}{x^{b^2-a^2}} \right)[/tex]

[tex]= \frac{1}{x^{a^2 - b^2 + (b^2 - a^2)}}[/tex]

[tex]= \frac{1}{x^0}[/tex]

[tex]= \frac{1}{1}[/tex]

[tex]= \boxed{1}[/tex]

.

( Part ii )

[tex]\frac{2^{m + n}\times 3^{2m + 3} \times 4^{2n -1}}{6^{2m + n}\times 12^{m - n}}[/tex]

[tex]=\frac{2^{m + n}\times 3^{2m + 3} \times 2^{2(2n -1)}}{(2\times3)^{2m + n}\times (3\times 2^2)^{m - n}}[/tex]

[tex]=\frac{2^{m + n}\times 3^{2m + 3} \times 2^{4n -2}}{2^{2m + n}\times3^{2m + n}\times 3^{m - n}\times 2^{2(m - n)}}[/tex]

[tex]=\frac{2^{m + n + 4n - 2}\times 3^{2m + 3}}{2^{2m + n + 2m - 2n}\times3^{2m + n + m - n}}[/tex]

[tex]=\frac{2^{m + 5n - 2}\times 3^{2m + 3}}{2^{4m - n}\times3^{3m}}[/tex]

[tex]= 2^{m + 5n - 2 - (4m - n)}\times3^{2m + 3 - 3m}[/tex]

[tex]= \boxed{2^{6n - 3m - 2}\times 3^{3 - m}}[/tex]

.

Happy to help :)

Simplify the expression use the screen shot

Answers

Answer:

(a/b)^k=a^k/b^k

Step-by-step explanation:

Using the laws of exponents, we know that (a/b)^k=a^k/b^k.

I couldn't get it to format correctly so just know that the "/" are for the fraction signs and the "^" is for the exponent marking.

Answer:

a^k / b^k

Step-by-step explanation:

You have to use the properties of the powers.

PLEASE HELP!! look at the image below

Answers

Answer:

A right 4 down 5

Step-by-step explanation:

counting the grid spaces from any point for example R and going to the point R' (R prime) will give you the translation

What is the answer to 1/4x=2?

Answers

Answer: x=8

Step-by-step explanation: Solve for the x by simplifying both sides of the equation, then isolate the variable.

I hope this help you out!

What is the area of a box that is 2ft 3ft 5 1/2ft

Answers

Answer:

3,300

Step-by-step explanation:

4. A hot air balloon hovers 100 feet about the ground. The balloon is tethered to the ground with a
rope that is 250 feet long. At what angle of elevation, is the rope attached to the ground? Round
you answer to the nearest degree.

Answers

Answer:

[tex]\theta=24^\circ[/tex]

Step-by-step explanation:

Trigonometry and Right Triangles:

The ratios of the sides of a right triangle are called trigonometric ratios. Any angle or side length can be calculated using the appropriate trigonometric ratio.

Please refer to the image below. The balloon is 100 feet high and the rope has a length of 250 feet. The right triangle formed allows us to apply a trigonometric ratio that relates the two given side lengths: the hypotenuse and the opposite leg to angle θ.

The sine ratio is defined as:

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin\theta=\frac{100}{250}=0.4[/tex]

[tex]\displaystyle \sin\theta=0.4[/tex]

Calculating θ:

[tex]\theta=\arcsin 0.4[/tex]

[tex]\theta=23.6^\circ[/tex]

To the nearest degree:

[tex]\mathbf{\theta=24^\circ}[/tex]

ANSWER CORRECTLY AND ILL MARK YOU AS THE BRAINLIEST

Answers

Answer:

2/3

Step-by-step explanation:

im pretty sure that's the answer

Answer:

y=3x-6

Step-by-step explanation:

pls help i will give 15 brainly points

Solve for 0​

Answers

Answer:

24.15°

Step-by-step explanation:

sinΦ = 18/44

Φ= 24.15°

Please help me I forgot this subject

Answers

Answer:

C

Step-by-step explanation:

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