HELP ME ASAP

In the following diagram overline DE || overline FG and overline KL perp FG. What is the measure of angle x?

Angle x = _____°​

HELP ME ASAPIn The Following Diagram Overline DE || Overline FG And Overline KL Perp FG. What Is The

Answers

Answer 1

Given:

DE||FG and KL is perpendicular to FG.

To find:

The measure of angle x.

Solution:

If two lies intersect each other, then vertical opposite angles are equal.

[tex]m\angle ACB=63^\circ [/tex]         (Vertically opposite angles)

[tex]m\angle BAC=x^\circ [/tex]         (Vertically opposite angles)

KL is perpendicular to FG.

[tex]m\angle ABC=90^\circ[/tex]

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

In triangle ABC,

[tex]m\angle ABC+m\angle BAC+m\angle ACB=180^\circ[/tex]

[tex]90^\circ+x^\circ+63^\circ=180^\circ[/tex]

[tex]x^\circ+153^\circ=180^\circ[/tex]

[tex]x^\circ=180^\circ-153^\circ[/tex]

[tex]x^\circ=27^\circ[/tex]

Therefore, the measure of angle x is 27 degrees.


Related Questions

Can you help me with this? (easy)

Answers

Answer:

6. 18

7. 8

do the rainbow method

Answer:

The GCF of 36 and 90 is 18

The GCF of 16, 24, and 40 is 8

Step-by-step explanation:

HELP.
What is the best bat All-Time?
-Quatro Pro
-The Goods (2021)
-Marucci 5,6,7
-Voodoo Liquidmetal, etc.
-Other (comment)

Answers

Answer:

Easton Redline Sc500

That is the best bat at all time

Step-by-step explanation:

Draw a vertical y-axis on the left-hand side of your graph and label it. Then draw a horizontal x-axis at the bottom of your graph. Then label the coordinates of each corner of the sign on your graph. Draw line a on your graph. What is the slope of line a?

Answers

Answer: 20

Step-by-step explanation:

HELP!!!! anyone know any of these answers for the “Homework: February Spiral Review” 20 questions!!!!

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Answer:

Linear equation

Step-by-step explanation:

The rate of change for y with respect to x remains constant for the linear equation.

The rate of change is 3

Answer:

nonliner

Step-by-step explanation:

it changes.

the input is right but the output isn't

USING THE GRAPH DETERMINE THE COORDINATES OF THE X INTERCEPT OF THE PARABLOA​

Answers

Answer: this parabola has 2 x intercepts witch are -4,0 and -8,0

Step-by-step explanation: an x intercept is when y is 0

by how much does 32 exceed 8

Answers

Answer:

by 24

Step-by-step explanation:

32-8 = 24

What is the area of the shape ?

Answers

Answer:

the area is C. 39

Step-by-step explanation: If you split them into there own shapes and add them at the end.

2 x 6 = 12

3 x 5 = 15

3 x 4 = 12

12 + 12 = 24

24 + 15 = 39

hope this makes sense

If the midpoints of the sides of ∆EFG shown below were connected with line segments, what would be the perimeter of the resulting triangle? Explain how you arrived at your answer. *

Answers

Answer:

17.5

Step-by-step explanation:

I beleive since we are connecting midpoints you divide each side by 2 and add them all up to get the perimeter of the smaller triangle made with the ratio of 1:2

The midpoints of the sides of ∆EFG are connected with line segments, then the perimeter of that triangle is 15.5 cm.

What is the triangle?

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Given

If the midpoints of the sides of ∆EFG shown below were connected with line segments.

Then the sides of the triangle get half.

Then the perimeter will be of a new triangle will be

[tex]\rm Perimeter = \dfrac{8}{2} + \dfrac{15}{2} +\dfrac{12}{2}\\\\Perimeter = 17.5[/tex]

Thus, the midpoints of the sides of ∆EFG are connected with line segments, then the perimeter of that triangle is 15.5 cm.

More about the triangle link is given below.

https://brainly.com/question/25813512

Six equal blocks have a total mass of b kg. What is the mass of each block?.​

Answers

One block / total mass of the six blocks

1 / b kg

You can open the picture and help me and ty if you are

Answers

Answer:

-35/8=t

Step-by-step explanation:

-7/4=2/5t

simplify by dividing each side by 2/5

-35/8=t

Can someone help me please?

Answers

Answer:

(0, -10), (2, 0), (-2, -50)

Step-by-step explanation:

Plug in numbers for the x and solve for it

I will start with 0

y = 5(0 - 1)^2 - 5

y = 5(-1) - 5

y = -5 - 5

y = -10

2

y = 5(2 - 1)^2 - 5

y = 5(1) - 5

y = 5 - 5

y = 0

-2

y = 5(-2 - 1)^2 - 5

y = 5(-9) -5

y = -45 - 5

y = -50

You just keep plugging in numbers until your graph finds its shape. Of course, you can chart the numbers I have already found.

Help!!!!! Please!!!!!

Answers

Answer:

9 cm

Step-by-step explanation:

r = 3cm

Volume of cone = 27π cm³

[tex]\frac{1}{3}\pi r^{2}h=27\pi \\\\\frac{1}{3}*\pi *3*3*h=27\pi \\[/tex]

                   h   = [tex]\frac{27\pi *3}{\pi *3*3}\\[/tex]

                    h = 9 cm

Isaac used 1/4 of an ounce of nuts to make 1/8 of a cake. How many ounces of nuts are needed to make one cake?

Answers

Answer:

2 ounces of nuts are needed to make one cake.

Step-by-step explanation:

if he uses 1.4 to make 1/8 of a cake, then you need to do it 8 times to make a full cake. Multiply 1/4 * 8 which is equal to 8/4 which simplifies to 2. This is your answer!

2 ounces of nuts are needed to make one cake.

Can someone help me on this plzzz???

Answers

Answer:

subtract to elimanate x.

Step-by-step explanation:

Brainliest pls??

Can someone plz help me with this 1 question!!!

Answers

Answer:

no

Step-by-step explanation:

opposite of

[tex] - \frac{2}{5} [/tex]

is 2/5

40 = 4(3d – 5)
show your work

Answers

40=4(3d-5)

40=12d-20

60=12d

5=d

d=5

Theo budgets $154 for karate classes. He buys a karate uniform, called a dogi, for $12. If it costs $8 to attend each karate class, which inequality below represents the number of classes, c, that Theo can take?

Answers

Answer- 1234

Step-by-step explanation:

sorry

Answer:

An inequality that represents the number of classes. C, that Theo can take is: 8c+12<=154.

Step-by-step explanation:

Pls help. I don't understand.

Answers

Answer:

112

Step-by-step explanation:

I took the same test

Answer:

area of trapezium = a+b ×h (a+b = base +base )

2

38+18÷2×16

37×16

=592cm

can sum one help me please

Answers

Answer:

scale facror:

1

:

2

x = 5

Perimeter = 5+4+4+5+6 = 24

Quadratic form of f(x)=(x+7)^2

Answers

Answer:

x^2 + 14x + 49

Step-by-step explanation:

Use the distributive property:

(x + 7)(x + 7) = x^2 + 7x + 7x + 49 = x^2 + 14x + 49

If x = 8 units, y = 3 units, and h = 1 unit, then what is the area of the parallelogram shown above?

Answers

Answer:

8unit²

Step-by-step explanation:

The Area of a parallelogram :

Length of base * height

Length of base, x = 8 units

Height, h = 1 unit

Area = Length of base * height

Area = 8 units * 1 unit

Area = 8unit²

drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge when flat. Find the height of the suspension point of the chain, to the nearest tenth of a meter, and the measures of the acute angles the chain makes with the wall and the drawbridge, to the nearest degree.


Answers

Answer:

4.0 meters, ∠C = 39°, ∠A = 51°

Step-by-step explanation:

Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the Pythagorean Theorem to solve for the height of the chain:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex](3.3)^{2} +b^{2} =(5.2)^{2}[/tex]

[tex]b^{2} =(5.2)^{2}-(3.3)^{2}[/tex]

[tex]b =\sqrt{(5.2)^{2}-(3.3)^{2}}[/tex]

[tex]b=4.0187...[/tex]

[tex]b=4.0 m[/tex]

Now, we can use the Law of Cosines to figure out one of the acute angles:

[tex]c^{2} =a^{2} +b^{2} -2ab(cos(C))[/tex]

[tex](3.3)^{2} =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))[/tex]

[tex]cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}[/tex]

[tex]C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})[/tex]

[tex]C=39.3915...[/tex]

∠C = 39°

And since we know that all angles in a triangle add up to 180°:

∠A + ∠B + ∠C = 180

∠A + 90 + 39 = 180

∠A = 180 - 90 - 39

∠A = 51°

However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!

PMark for Review
5 The Raven Club sold tickets to the local fall festival. On day one, they sold 50 child tickets and 75 adult
tickets and the total was $525. On day two, they sold 45 child tickets and 65 adult tickets and the total
was $460. What was the cost of the adult tickets?

Answers

Answer:

Y = 6

Step-by-step explanation:

On the first day of ticket sales the school sold 3 adult ticket and 8 student tickets for a total of $72. The school took in $152 on the second day by selling 7 adult tickets and 16 student tickets. How much is a student ticket?  

Day 1: 3x + 7y = 72

Day 2: 7x + 16y = 152

This becomes a system of equations.

3x+8y=72

3x+8y+−8y=72+−8y (Add -8y to both sides)

3x=−8y+72

3x/3 =  −(8y+72)/3

X = (-8/3) y + 24

Substitute  (-8/3) y + 24 for x in7x+16y=152:

7(-8/3 y + 24) + 16y = 152

-8/3 y + 168 = 152 (Simplify both sides of the equation)

-8/3 y + 168 − 168 = 152 + (−168) (Add -168 to both sides)

-8/3 y = -16

(-8/3 y)/(-8/3 y) = -16/ -8/3 y (Divide both sides by (-8)/3)

y = 6

Select all the correct answers.
A free-falling golf ball strikes the ground and exerts a force on it. Which sentences are true about this situation?
A golf ball striking the ground is a collision.
The ground exerts an equal force on the golf ball.
The ground doesn’t exert a force on the golf ball.
The force is zero because the golf ball has little mass.

Answers

Answer:

A and B

Step-by-step explanation:

Answer:

golf ball striking the ground is a collision.

The ground exerts an equal force on the golf ball. y-step explanation:

PLATO

Which of these pairs are equal?

Answers

Answer:

bugggaaaa

Step-by-step explanation:

bugggggaaaaa

Answer:

sin 33 and cos 57

Step-by-step explanation:

Sine of an angle equals the cosine of its complement.

point D(9,-8) is reflected to D'(9,8)

Answers

Answer:

reflected across the x axis

Step-by-step explanation:

simplify (2x^2-32)/x^2+10+24

Answers

Answer:

Step-by-step explanation:

(2x^2-32)/(x^2 + 10x + 24) is less subject to misinterpretation.  Write these factors in a vertical column:

     (2x^2-32)

------------------------- and then factor numerator and denominator separately:

(x^2 + 10x + 24)

   2(x^2 - 16)         2(x - 4)(x + 4)       2(x - 4)

--------------------- = --------------------- = ----------------     Note:  This is good ONLY

(x + 4)(x + 6)          (x + 4)(x + 6)           x + 6            for x ≠ -4!  Division by

                                                                                 is not defined.

[tex]{ \dashrightarrow{ \sf { \red{ \frac{2 {x}^{2} - 32}{ {x}^{2} + 10x + 24}}} } } \\ \\ \\ { \dashrightarrow{ \sf{ \red{ \frac{2( {x}^{2} - 16)}{ {x}^{2} +(6x+4x) +24}}}}} \\ \\ \\ { \dashrightarrow{ \sf{ \red{ \frac{2(x + 4)(x - 4)}{ {x}^{2} + 6x + 4x +24}}}}} [/tex]

[tex]{ \dashrightarrow{ \sf{ \red{ \frac{2(x + 4)(x - 4}{ x(x+6)+4(x+6)}}}}} \\ \\ \\

{ \dashrightarrow{ \sf{ \red{ \frac{2(x + 4)(x - 4)}{(x+6)(x+4)}}}}} \\ \\ \\

{ \dashrightarrow{ \sf{ \red{ \frac{2(x - 4)}{ (x-6)}}}}} [/tex]

Buckner put 60$ of his 400 paycheck into his saving account.What percent of his paycheck was placed into saving?

Answers

Answer:

15%

Step-by-step explanation:

60/400 = 15/100 (I divided the numerator and denominator by 4 get the denominator 100, so we can find the percentage easily).

15/100 = 15%

BRAINLIEST FOR CORRECT

Answers

Answer:

10 windows

Step-by-step explanation:

2.5x2.5=6.25 then you would do 64 divided 6.25 to get 10.24 which would give you 10 whole windows.

if you divide 64 by 2.5 it will give you your answer

Liu is making a rabbit pen. The graph shows where he plans to place it in his backyard. Each unit on the graph represents 1 foot.

1. What is the distance between points R and U? Explain how you found this distance.

2. Find the other three side lengths.

The length of the side between U and T is _______ feet.

The length of the side between T and S is _______ feet.

The length of the side between S and R is _______ feet.

3. The perimeter is the sum of the side lengths. What is the perimeter of the pen?

4. Does Liu have enough fence to make the pen? Why or why not?

Answers

Answer:

1. The distance between the points R and U is 4 feet

2. The length of the side between U and T is 3 feet

The length of the side between T and S is 4 feet

The length of the side between S and R is 3 feet

3.The perimeter of the pen is 14 feet

4. Yes

Liu has enough fence to make the Pen because he has more fence than the perimeter of the pen

Step-by-step explanation:

The 'x', and 'y' (x, y) coordinates of the points are;

R(5, 7), U(5, 3), S(8, 7), T(8, 3)

1. From the graph, the distance between the points R and U is given by the change in the values of the y-coordinate, given in feet, since the x-coordinate values are the same

Therefore, the distance between the points R and U = 7 ft. - 3 ft. = 4 ft.

2. Similarly, the length of the side between U and T is given by the change in the values of the x-coordinate, given in feet, since the y-coordinate values of U ant T are the same, as follows;

The length of the side between U and T = 8 ft. - 5 ft. = 3 ft.

Similarly the length of the side between T and S which have the same x-coordinate values is given as follows

The length of the side between T and S = 7 ft. - 3 ft. = 4 ft.

The length of the side between S and R which have the same y-coordinate values is given as follows;

The length of the side between S and R = 8ft. - 5ft. = 3ft.

3. The perimeter of the pen = Length R and U + Length U and T + Length T and S + Length S and R

∴ The perimeter of the pen = 4 ft. + 3 ft. + 4 ft. + 3 ft. = 14 ft.

4. The length of fencing Liu has = 16 feet (from internet source)

Therefore, the length of fence Liu has, 16 ft.is more than the length that make up the perimeter of the pen, 14 ft.

Therefore Liu has enough fence to make the Pen because the length of fence he has is more than the perimeter of the pen.

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