Mathematics High School

The angle bisectors of AXYZ are XG, YG, and ZG. They meet at a single point G.
(In other words, G is the incenter of AXYZ.)
Suppose DG= 10, ZG= 19, mŁ DYE =96°, and m2 FXG=18°.
Find the following measures.
Note that the figure is not drawn to scale.

The Angle Bisectors Of AXYZ Are XG, YG, And ZG. They Meet At A Single Point G.(In Other Words, G Is The

Answers

Answer 1

Answer:

m∠FXD = 36°

EG = 10

m∠FZG = 24°

Step-by-step explanation:

In triangle XYZ, G is the incenter of the triangle.

Since, m∠FXG = 18°

And m∠FXD = 2(m∠FXG)

                     = 2 × 18°

                     = 36°

Since, point G is equidistant from all sides (Property of incenter of a triangle)

Therefore, DG = EG = GF = 10

Since, m∠X + m∠Y + m∠Z = 180°

2(m∠FXG) + m∠DYE + 2(m∠FZG) = 180°

2(18)° + 96° + 2(m∠FZG) = 180°

2(m∠FZG) = 180° - 132°

m∠FZG = 24°

Related Questions

If there are 40 boys and 60 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Answers

40+60=100. So one person equals 1%, meaning 40% are boys and 60% are girls. By simplifying, we will find that possible ratios below the value of 100 are 40:60, 4:6, 2:3, and 20:30.

Answer:

40:60  or 60:40

Step-by-step explanation:

This is the answer because a ratio looks like this

#:# <that just means a number by a number

and since the question is telling you to fill out all of the possible ratios of boys to girls that could be made.

There is really only one way you can write boys to girls but since they saying this try flipping the answer around like this:   60:40

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

y=1/5x +80 so the slope is 1/5

the two points i used were(50,90) and (0,80)

Solve for t.
- 9r +5 <17
AND 132 + 25 <-1

Answers

Answer:

1.) r>-3/4 and 2.) 157<-1

What is the quotient of 2/3 ÷ 4?​

Answers

Answer:

When you add two numbers the answer is called the sum. When you divide two numbers the answer is called the quotient. The quotient of six divided by two is three

Step-by-step explanation:

Answer:

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form: [tex]\frac{1}{6}[/tex]

Decimal Form: 0.16

Hope this helps

WILL MARK YOU BRAINLIEST!!!

Answers

Answer:

very confusing but i'm guessing the glide reflection on triangle DEF

Step-by-step explanation:

1/2 = 4+D/ xy 7*

Rachel finished 3/4 of the race in 6 hours. How long was the entire race?

Answers

The answer is a total of 9 hours

Which of the following algebraic expressions correctly represent the phrase fifteen less than twice a number

Answers

Answer:

15-(2×X)

Step-by-step explanation:

hope this is what you need

Answer:

Step-by-step explanation:

i can't see the expressions, but your answer will be 2x-15

Question 15
Consider this set of ordered pairs: {(-2,-1), (2,1), (1,5), (-2,4)}. What is the range?
A
{-2, 1, 2}
B
All Real Numbers
С
{-1, 1,4,5)
D
{-2,-1, 1, 2, 4, 5)

Answers

Answer:

Option (C)

Step-by-step explanation:

Domain of a function is a set of x-values (input values) of the function.

Similarly, Range of a function is a set of y-values (output values).

Given set of ordered pairs is {(-2, -1), (2, 1), (1, 5), (-2, 4)}.

Domain → {-2, 2, 1, -2}

Range → {-1, 1, 4, 5}

Option C will be the correct option.

Which transformation takes ABCD to A’B’C’D?

A.dilation
B.rotation
C.reflection
D.translation

Answers

I think it’s D or B if I’m wrong I’m sorry

4(2x−3)= 28 solve for x

Answers

Answer:

5

Step-by-step explanation:

multiply

8x - 12 = 28

add 12 to both sides

8x = 40

divide

5

Answer:

Start with what we know:

4(2x-3) = 28

Now we do rainbow property aka distributive property:

4*2x=8x

4*-3=-12

now we have:

8x - 12 = 28

we have to get 8x alone:

we will add 12 to both sides:

8x= 40

now we have to get x alone:

8x/8=x

40/8=5

now we put that into a equation:

x=5

There were 640 gallons of water in a 1600-gallon pool. Water is being pumped into
the pool at a rate of 320 gallons per hour. How many hours will it take to fill the
pool?

Answers

Answer:

It will take 3 more hours for pool to be full

Answer: hahah I’m doing this for points lol

Step-by-step explanation:

help again thanks lol​

Answers

Answer:

A

Step-by-step explanation:

Answer:

[tex] \boxed{ - \frac{ - 4}{ - h} }[/tex]

Jason needs to save at least $200 by the end of the summer. He already has $40, and he has 8 weeks to save. Which inequality can he use to decide how much he needs to save each week?

Answers

Step-by-step explanation:

y=mx+b

200 = 8x + 40

Rearrange,

x = 160/8 = 20

He would need to save $20 a week

200= 20 × 8 + 40

Answer:

8x + 40 ≥ 200At least $20 each week

Step-by-step explanation:

Target amount = at least $200Jason already has = $40Time = 8 weeksSaved amount each week = x

Required inequality:

8x + 40 ≥ 2008x ≥ 160x ≥ 160/8x ≥ $20

These two figures are the image and pre-image of a
dilation.
Find the value of x.
4 m
6 m
4 m
6 m
O 8 m
09 m
6 m

Answers

Answer: it is 9 m

Step-by-step explanation:

I just got it correct on edge have a great day

the pic is my answer. try to be fast with it.

Answers

Answer:

i would say the 3rd answer

Answer:

Find 50% of 3000

Step-by-step explanation:

The diagram shows organisms a diver observed during an ocean dive.

A sailboat floats on the water with objects below it in the water. These objects are labeled seaweed negative 20 meters, clownfish negative 23 meters, squid negative 44 meters.
What did the diver most likely use as a reference point to describe the position of the squid?

Answers

Answer:

The correct answer would be A.) The ocean surface

A sailboat floats on the water with objects below it in the water. These objects are labeled seaweed negative 20 meters, clownfish negative 23 meters, squid negative 44 meters.

What did the diver most likely use as a reference point to describe the position of the squid?

A.) the ocean surface

B.) the ocean floor

C.) the position of the clownfish

D.) the position of the seaweed

Step-by-step explanation:

Got it right on edge :)

Answer:

A

Step-by-step explanation: Did the test

Select the correct answer from each drop-down menu. The velocity, v, in meters/second, of an object with a mass of m, in kilograms, and kinetic energy of K, in joules, is given by this equation. Use the equation to complete this statement. The kinetic energy of a ball with a mass of 2 kilograms that is rolling at a velocity of 5 meters/second is joules.

Answers

Answer:

25

Step-by-step explanation:

The kinetic energy of a ball with a mass of 2 kg that is rolling at a velocity of 5 m/s is 5 Joules

Calculating Kinetic energy

From the question, we are to determine the kinetic energy of the ball

From the given equation for the velocity,

[tex]v = \sqrt{\frac{2K}{m} }[/tex]

We will make K the subject of the equation

 [tex]v = \sqrt{\frac{2K}{m} }[/tex]

Take the squares of both sides

[tex]v^{2} ={\frac{2K}{m} }[/tex]

Multiply both sides by m

[tex]mv^{2} ={\frac{2K}{m} } \times m[/tex]

[tex]mv^{2} =2K[/tex]

∴ [tex]K = \frac{1}{2} mv^{2}[/tex]

Now, for the kinetic energy of a ball with a mass of 2 kilograms that is rolling at a velocity of 5 meters/second

That is,

m = 2 kg

and v = 5 m/s

Putting the parameters into the equation, we get

[tex]K = \frac{1}{2} \times 2 \times 5^{2}[/tex]

K = 25 J

Hence, the kinetic energy of a ball with a mass of 2 kg that is rolling at a velocity of 5 m/s is 5 Joules

Learn more on Calculating kinetic energy here: https://brainly.com/question/25959744

Here is the complete question:

Select the correct answer from each drop-down menu. The velocity, v, in meters/second, of an object with a mass of m, in kilograms, and kinetic energy of K, in joules, is given by this equation.

[tex]v = \sqrt{\frac{2K}{m} }[/tex]

Use the equation to complete this statement. The kinetic energy of a ball with a mass of 2 kilograms that is rolling at a velocity of 5 meters/second is joules.

#SPJ2

What type of angles are 1 & 2

Answers

Answer:

C

Step-by-step explanation:

What are the intercepts for the equation? Select all that apply. x + y = 4 *
(-4, 0)
(0, -4)
(0, 4)
(4, 0)

Answers

Answer:

  y intercept (0, 4)

  x intercept (4, 0)

I hope this is good enough:

Ms. Sakai rode her bike 7.25 miles on Friday. She then rode 12.3 miles on Saturday and then 7.3 miles on Sunday. How many total miles did she ride over those three days?

Answers

Answer:26.85 miles

Step-by-step explanation: 7.25+12.3+7.3=26.85

simply (3x³ + 2x-3) - (4x³ - x² + x)​

Answers

Answer:

[tex]\left(3x^3+2x-3\right)-\left(4x^3-x^2+x\right)=-x^3+x^2+x-3\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\3x^3+2x-3-\left(4x^3-x^2+x\right)\\3x^3+2x-3-4x^3+x^2-x\\-x^3+x^2+x-3[/tex]

I hope this is good enough:

The triangles are congruent by SSS. Triangles J K L and M K L share side K L. Sides J K, K M, M L, and L J are congruent. Which transformation(s) can be used to map one triangle onto the other? Select two options. reflection only translation only dilation, then translation rotation, then translation rotation then dilation

Answers

Answer:

a and d on edge

Step-by-step explanation:

Answer:

a and d

Step-by-step explanation:

2x 22/7 x 35 x 100
Plz tell me fastttt

Answers

Answer:

22000

Step-by-step explanation:

[tex]2 \times \frac{22}{7} \times 35 \times 100[/tex]

35 is divisible by 7. So reducing 35 by 7 gives 5.

[tex] = > 2 \times 22 \times 5 \times 100[/tex]

Lets multiply 2 & 5 for making the calculation easy.

[tex] = > 22 \times 10 \times 100 = 22000[/tex]

4. When solving an equation, Henry gets to
the last line of his work and is left with "2 = 3".
What does this mean?
A. The solution is 3.
B. There is only one solution.
C. There is no solution.
D. There are infinite solutions.
1pt

Answers

c) there is no solution

Which of the following questions below can be answered using the sum -12+10

Answers

It’s 22 negativeBecause once you add up those to a negative is always a negative
Answer: is -22 a negative plus a positive is negative

The value of f(x( =5x-4x^2+3 when x=-1 is

Answers

Answer:

-6

Step-by-step explanation:

-4x^2+5x+3

-4(-1)^2 +5(-1) +3

-4-5+3

-6

40 POINTS I WILL AWARD BRAINLIEST
Make up an equation that has one real solution and one imaginary solution. State the solutions.

An example is : (x-3)(x+sqrt2)
Solution : x=3 x=-sqrt2

Answers

Answer:

y=x=b=a=s

Step-by-step explanation:

a=s=d=a=s=d=a

What is the equation of the line that passes through point (3, -1) and has a slope of 2?​

Answers

Answer:

2x-7

I hope this is good enough:

un
Una inversión de $$4250 produce $125 de rédito en u
año, ¿cuánto producirán $10200 a la misma tasa de
interés?

Answers

Answer:

The correct answer is $300

Step-by-step explanation:

According to the given scenario, the computation of the interest produced is shown below;

Given that

The investment of $4,250 produced $125 return

So for $10,200 the return would be

= (Production × return) ÷ (investment made)

= ($10,200 × $125)  ÷ ($4,250)

= $300

Hence, the interest produced is $300


Answer plz need ASAP

Answers

None of the above i believe. Maybe A.

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