3. Segment GE is an angle bisector of both
angle HEF and angle FGH. Prove triangle HGE is
congruent to triangle FGE.
F
H
G

3. Segment GE Is An Angle Bisector Of Bothangle HEF And Angle FGH. Prove Triangle HGE Iscongruent To

Answers

Answer 1

ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).

Recall:

A segment that divides an angle into equal parts is known as an angle bisector.Two triangles are congruent by the ASA Congruence Theorem if they share a common side and have two pairs of congruent angles.

In the diagram given, Angle bisector, GE, divides ∠HEF into congruent angles,  ∠HEG ≅ ∠GEF.

Also divides ∠FGH into congruent angles, ∠HGE ≅ ∠FGE.

Both triangles also share a common side, GE

This implies that: ΔHGE and ΔFGE have:

two pairs of congruent angles - ∠HEG ≅ ∠GEF and ∠HGE ≅ ∠FGE

a shared side - GE

Therefore, ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).

Learn more about ASA Congruence Theorem on:

https://brainly.com/question/82493


Related Questions

what is 0.128 as a fraction​

Answers

[tex]0.128 \\ = \frac{128}{1000} \\ = \frac{16}{125} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

16/125

Step-by-step explanation:

Write 0.128 as

0.128/1

Multiply both numerator and denominator by 10 for every number after the decimal point

(0.128 × 1000)/(1 × 1000) = 128/1000

Reducing the fraction gives

16/125

Help I need the answers ASAP

Answers

Answer:

304 and 512

Step-by-step explanation:

For number 11 it is 304 and for number 12 it is 512

Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.


4. What does ¾ + ¼ = ?

Answer in simplest form.

Answers

3/4+1/4=1
I’m not sure why you put the thing about Melanie there.

In developing an interval estimate of the population mean, if the population standard deviation is unknown _____.

Answers

Answer:

the sample standard deviation and t distribution can be used

Step-by-step explanation:

Can somebody help me as soon as possible I’ll give brainliest

Answers

Hi hi hi hi hi hi hi hi hi hi hi hi hi

In 2000, the moose population in a park was measured to be 650. By 2010, the population was measured to be 750. Assume the population continues to change exponentially. Find a formula for the moose population, P(x), where x is the number of years after 2000

Answers

Answer:

650 * (1.01)ˣ = P(x)

Step-by-step explanation:

One formula for exponential growth is

a*bˣ, where x represents time, a represents the initial amount, and b represents the growth rate. We have 650 as our initial amount because x is the number of years after 2000, and there are 650 moose in 2000. Then, we have

650 * b¹⁰ = 750 because, after 10 years, the moose population is 750. Solving for b, we have

750/650 = b¹⁰

(750/650)^(1/10) = b

= 1.01441296377 (can round this to 1.01)

Therefore, after x years, the moose population can be represented by the equation

650 * (1.01)ˣ

A six-sided, fair number cube is rolled 100 times as part of an experiment. The frequency of the roll of the number 3 is 20. Which statement about rolling a 3 is correct?

The theoretical probability is 1/6. The experimental probability is 1/6.
The theoretical probability is 1/5. The experimental probability is 1/6.
The theoretical probability is 1/6. The experimental probability is 1/5.
The theoretical probability is 1/5. The experimental probability is 1/5.

Answers

Answer:

The theoretical probability is 1/6. The experimental probability is 1/5.

Step-by-step explanation:

Answer:

c for lazy goofy peoplee

Step-by-step explanation:

Maria is riding her bike through the Red Rock Loop. Maria recorded her distance traveled at five different
points during her bike ride. The table of values below shows the results of her bike ride.

Answers

Answer:

MOoo

Step-by-step explanation:

MOoo

A coin is tossed and the spinner is spun one possible outcome is H3 (heads, 3). What is the sample space for the experiment?

Answers

Supposing a spinner with 4 sides, the sample space is:

{H1, H2, H3, H4, T1, T2, T3, T4}

The sample space is the set that contains all possible outcomes for an experiment.

In this problem:

For the coin, there are two possible outcomes: H or T.Supposing the spinner has 4 sides, there are four possible outcomes: 1, 2, 3, or 4.

Hence, the sample space is:

{H1, H2, H3, H4, T1, T2, T3, T4}

For more on sample space, you can check https://brainly.com/question/25775544

The blood bank at a hospital has 1,200 units of blood, out of which 37% units are of blood group B+. A clinical researcher randomly selects 300 units of blood and finds that 33% of those are of blood group B+. To test his result, he randomly selects 200 units of blood and finds that 40% of those are of blood group B+. Which of the following is the reason there is a difference between the two percentages selected by the researcher?

Answers

The reason why the two percentages are different is that the sample does not reflect the characteristics of all the units of blood.

What is sampling?

Sampling is a statistical technique in which a sample of a statistical population is selected for the study. The objective of sampling is to ensure that its properties can be extrapolated to the total population.

Sampling is a way of saving resources, and at the same time obtaining results similar to those that would be achieved if a study of the entire population were carried out.

According to the above, the clinical researcher who selected a sample of the available blood units obtains different percentages because he selected randomly and this can modify the quantities of samples according to blood type.

Learn more about sampling in: https://brainly.com/question/350477

twin oaks soccer field is a rectangle. The longer side of the field is 108 yards long. The shorter side is 56 yards long. What is the perimeter of the field?

Answers

Answer:

P = 328 yards

Step-by-step explanation:

formula is P= 2l + 2w

[tex]p = 2(108) + 2(56) \\ = 216 + 112 \\ = 328 \: yards[/tex]

13. This shows a part of a multiplication table. Find the missing numbers. Explain how you found the numbers.

35 40
42 ?
? ?​

Answers

The missing numbers in the multiplication table are 49, 48 and 56 respectively

Given:

35

42

?

35 = 7 × 5

42 = 7 × 6

? = 7 × 7 = 49

40

?

?

40 = 8 × 5

? = 8 × 6 = 48

? = 8 × 7 = 56

Multiplication table is a mathematical table showing the products of each of integers such as 7 and 5, 1 and 10, 13 and 12 etc

Therefore, the missing numbers in the multiplication table are 49, 48 and 56 respectively

Learn more about multiplication:

https://brainly.com/question/10873737

what is 3 1/3 - 1 1/2​

Answers

Answer:1.833333

Step-by-step explanation:

Find the amount of an annuity that consists of 25 quarterly payments of $800 each into an account that pays 8% interest per year, compounded quarterly. (Round your answer to the nearest cent.)

Answers

Answer: 400

25 x 800 = 20,000 x 8% = 1,600 / 4 = 400

On a basketball court the free throw line is marked off geometrically this area of the court is called a key and is topped
by a semi circle that has a diameter of 12 feet find the arc length of the semi circle to the nearest foot find the area of a semi circle to the nearest square foot

Answers

Step-by-step explanation:

Arc length formula is

[tex]s = rx[/tex]

where x is radinas.

A semi circle has a radian measure of

[tex]\pi[/tex]

The radius is half of the diameter, 12 so the radius is

[tex]12 \times \frac{1}{2} = 6[/tex]

So the arc length is

[tex]6 \times \pi = 6\pi[/tex]

Area of semi circle is

[tex] \frac{1}{2} \pi {r}^{2} [/tex]

where r is the radius.

[tex] \frac{1}{2} \pi6 {}^{2} [/tex]

[tex] \frac{1}{2} 36\pi[/tex]

[tex]18\pi[/tex]

PERSON WHO GETS RIGHT ILL GIVE BRAINLIEST! Which values from the given replacement set make up the solution set of this inequality? 3s>12; {4, 5, 6, 7}


{4}

{4, 5, 6}

{4, 5}

{5, 6, 7}

Answers

Answer:

{5,6,7}

Step-by-step explanation:

3s>12

divide by 3 on both sides and you get

s>4

so {5,6,7} is the only one that works since it needs to be greater than 4

sorry if I replied too late, but I hope this helps

29 divided by 6 eeeeeeeeeeeee

Answers

Answer:

4.8333333

Explanation:

Answer 4.83

Step-by-step explanation:

write as an expression: Fifteen more than the quotient of 24 and a number x. then evaluate when x equals 8

Answers

Answer:

18

Step-by-step explanation:

The expression would be 24/x + 15. 24 divided by 8 is 3 and 3 plus 15 is 18.

Find the diameter of a circle with a circumference of 34.54 yards. Use 3.14 for π.

Answers

Answer:

Step-by-step explanation:

C = π d

3.14 d = 34.54

d = 11 yards

Answer:

Step-by-step explanation:

C = πD

D = C/π

D = 34.54 / 3.14

D = 11 yards

You are delt 1 card from a 52 card deck. Find the probability that you are not dealt a 10

Answers

Answer:

Step-by-step explanation:

There are 4 tens.

There are 48 cards that are not a 10. The probability of drawing 1 of the 48 is

P(~10) = 48/52 which is quite high as you might imagine.

If .60 = N could you write the expression .60N

Answers

Answer:

N+60

Step-by-step explanation:

The perimeter of a rectangle is 20/33 feet. The length of three sides together is 16/33 feet.
What is the length of the fourth side?

40 feet
4/33feet
16/33feet
20/33feet

Answers

Answer: 4/33 feet

Explanation: 20/33 - 16/33 = 4/33

slope 1/4 y-intercept 3 step by step

Answers

I am assuming you want this in slope-intercept form. Slope-intercept form is y=mx+b. Y and x are just coordinates, and m and b are the slope and y-intercept. We do not need to worry about x and y. M is the slope, and b is the y-intercept. By plugging in our slope, we get y=1/4x+b. Next, we put the y-intercept into y. y=1/4x+3

The answer is y=1/4x+3

In the figure below, AABC is similar to A EFG. What is the length of EG? Enter only the number.
A
5
N
3
12
16
F
G
B
The solution is

Answers

Answer:

EG = 20

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{EG}{AC}[/tex] = [tex]\frac{EF}{AB}[/tex] , substitute values

[tex]\frac{EG}{5}[/tex] = [tex]\frac{12}{3}[/tex] = 4 ( multiply both sides by 5 )

EG = 5 × 4 = 20

Maxden wanted to measure the length of the objects below.
For each one circle which unit of measurement he should use.

A. His puppy

Inches or Yards

B. A toy car

Yards or Centimeters


C. Width of his desk

Yards or Feet


D. His foot

Inches or Yards

Answers

A : inches
B : centimeters
C: feet
D: inches

What is the area of a triangle with a base of √10 and a height of √13 Will mark brainliest

Answers

Answer:

the answer is shown on the photo!

Answer:

a=570

Step-by-step explanation:

correct sure

Which choice is equivalent to the product below?
v2.58
O A. 4./20
O B. 4/5
O C. 16.15
O D. 8/10

Answers

Answer:  Choice B)  [tex]\boldsymbol{4\sqrt{5}}\\\\[/tex]

Work Shown:

[tex]\sqrt{2}*\sqrt{5}*\sqrt{8}\\\\\sqrt{2*5*8}\\\\\sqrt{80}\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5}\\\\\boldsymbol{4\sqrt{5}}\\\\[/tex]

The rule I'm using is [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex]

Answer:

Option B

Step-by-step explanation:

√2 × √5 × √8

√2 × √5 × 2√2 [√8 = 2√2]

(√2 × √2) × √5 × 2

2 × √5 × 2

4√5

Option B is correct

Y=1/3x-4 + Y=-7/3x+4

Answers

Answer:

-2

Step-by-step explanation:

if you arrange them over each other you get [tex]\frac{1}{3} -4 \\+\frac{-7}{3} +4[/tex]

the -4 and +4 cancel out to 0

and 1-7= -6

-6/3 is -2

6x + 34x - 6 =8(5x + 10)

Answers

[tex]6x+34x -6 = 8(5x+10)\\\\\implies 40x -6 = 40x +10\\\\\implies 40x -40x = 10+6 \\\\\implies 0 =16\\\\\text{Which is not true. So no solution.}[/tex]

he .......... be eating pizza.​

Answers

The answer is A will...........

He will be eating pizza

S + will + be + V_ing

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