Given the diagram below, solve for the value of x.

Given The Diagram Below, Solve For The Value Of X.

Answers

Answer 1
Answer:    x = 53

==========================================================

Explanation:

Sides ED and FD are the same length due to the red tickmarks.

The angles opposite these side lengths, angle E and angle F, are congruent as well. So angle F is also x.

For any triangle, the three angles always add to 180

F+E+D = 180

x+x+74 = 180

2x+74 = 180

2x+74-74 = 180-74 .... subtract 74 from both sides

2x = 106

2x/2 = 106/2 ... divide both sides by 2

x = 53

As a check,

F+E+D = x+x+74 = 53+53+74 = 180

which verifies the answer.


Related Questions

Find the volume of this cuboid.
6 cm
8 cm
10 cm

Answers

Answer: the volume is 480 cm

Step-by-step explanation:

You find the volume of a shape by multiplying the base x width x height. In this case the height is 6 the width is 8 and the length is 10. 6x8x10= 480.

Answer:

lb×bh×hl

6×8×8×10×10×6

48×80×60

230400

The length of a room is 7.25 feet longer than the width, x, of the room. Which expression represents the perimeter of the room?

Answers

Answer:

P = 14.5+4x

Step-by-step explanation:

Let the width of the room is x.

Length = 7.25 feet longer than the width = 7.25 +x

We need to find an expression the represents the perimeter of the room.

Perimeter = sum of all sides

P = 2(l+b)

l is length and b is width

P = 2(7.25 +x+x)

=2(7.25 +2x)

=14.5+4x

Hence, the required expression for the perimeter is 14.5+4x.

3 There are 5 times as many boys as girls in a school.
Together the school has 810 pupils.
How many boys are there?

Answers

Answer:

Number of boys = 675

Step-by-step explanation:

Given that:

There are 5 times as many boys as girls in a school.

Number of pupils in school = 810

Let,

x be the number of girls

y be the number of boys

According to given statement;

x+y=810      Eqn 1

y = 5x         Eqn 2

Putting y=5x in the Eqn 1

x+5x=810

6x=810

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{810}{6}\\x=135[/tex]

Putting x=135 in Eqn 2

y = 5(135)

y = 675

Hence,

Number of boys = 675

Jug A holds 1800ml Jug B hold 3/10 more. How much does jug B hold?​

Answers

Answer:

Jug B can hold 2340 ml.

Step-by-step explanation:

Given

The amount in Jug A = 1800ml

To determine

How much does jug B hold?​

Give that the Jug B holds 3/10 more, i.e.

[tex]\frac{3}{10}\times \:1800=540[/tex]

Thus,

The total amount in Jug B = 540+1800

                                           = 2340 ml

Therefore, Jug B can hold 2340 ml.

Answer:

get into it

Step-by-step explana   tion:

 

Is the given value a solution of the inequality?

Answers

Answer:

I don't think so

Step-by-step explanation:

if the s has to be more than or equal to then s would have to equal 8 or more

GUYS PLS HELP 25 POINTS + BRAINLIEST IF CORRECT ANSWER

Answers

Answer:

B) 50º

Step-by-step explanation:

first we need to find angle MPL. to do this we do 180 - 70 - 60 = 50º. angle KPN is the smae as angle MPL. so angle KPN is 50º.

Answer:

C

Step-by-step explanation:

your answer is C because when you solve the answer question you get 60 degrees .What I did to get the answer is that I solve each solution answer and that is how I got 60 degrees

Hope this helps:)

Pls mark brainlist

What is 1 infinity plus 1 infinity equal.​

Answers

Answer:

infinity

Step-by-step explanation:

lol

Infinity your welcome :)

8.In a box, there are 8 orange, 7 blue, and 6 red balls. One ball is selected randomly. What is the probability that it is neither orange nor red

Answers

Answer: then its blue, 1/3

Step-by-step explanation: in a box there are 8 red, 7 blue and 6 green balls. one ball is picked up randomly. what is the probability that it is neither red nor green?

---

I guess the ball was blue.

P(blue) = 7/21 = 1/3

Evaluate the expression P(6,1)

Answers

Answer:

p(6,3)=120

Step-by-step explanation:

In the pic is how to do it

The value of the permutation expression P(6, 1) will be 6.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Evaluate the expression P(6, 1).

We know that the formula for the permutation is given as,

ⁿPₓ = n! / (n - x)!

From the above, the value of n is 6 and the value of x is 1. Then we have

⁶P₁ = 6! / (6 - 1)!

⁶P₁ = 6! / 5!

⁶P₁ = 6 x 5! / 5!

⁶P₁ = 6

The value of the permutation expression P(6, 1) will be 6.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ5

20 to the power of 3 divided by 2​

Answers

Answer:

4000

Step-by-step explanation:

20 to the power of 3 is 8000 and 8000/2 is 4000

20^3 = 8000 / 2 = 4000

Find the scale factor of PQRS to JKLM and the values of w, x, and y.

Answers

D cause Times x by y and your answer should be

The scale factor of PQRS to JKLM is 4/5 and the values of w, x and y are 20, 12.5 and 20 respectively.

What is Scale Drawing?

A scale drawing is a drawing made by enlarging or reducing the size of the original object.

The factor by which the drawing is enlarged or reduced is called the scale factor.

Given two quadrilaterals PQRS and JKLM.

Since the shape is similar, the angles are equal and thus are similar figures.

The corresponding sides of two similar figures are proportional.

Scale factor of PQRS to JKLM = QR / KL = 12 / 15 = 4/5

Using the proportional rule for similar figures,

KL / QR = LM /RS  = MJ / SP = JK / PQ

15 / 12 = x / 10 = y / 16 = 25 / w

Scale factor = 15/12 = 5/4

Consider 15 / 12 = x / 10.

12x = 150

x = 12.5

Consider 15 / 12 = y / 16

12y = 15 × 16

y = 20

Consider 15 / 12 = 25 / w

15w = 12 × 25

w = 20

Hence the option d is the correct answer.

Learn more about Scale Factor here :

https://brainly.com/question/3819163

#SPJ3

Length of the major axis: 4 Length of the minor axis: 2 Foci are on the y-axis with center (0,0)​

Answers

Answer:

x²/4 + y²/16 = 1

Step-by-step explanation:

Foci on the y axis: major axis parallel to y axis

x²/b² + y²/a² = 1

x²/4 + y²/16 = 1

The required equation of an ellipse is given by x²/4 + y²/16 = 1

Given that,
Length of the major axis: 4 Length of the minor axis: 2 Foci are on the y-axis with center (0,0)​, the equation of the ellipse is to be determined.0

What is an ellipse?

Ellipse is defined as the cross-section of the cone when cutting it with a plane parallel to its base.

Here,
Standard equation of the ellipse with origin as the center,
x²/a² + y²/b² = 1
where a and b are the minor and major axis of the ellipse.
From the given, we have a = 2 and b = 4
So the equation of the ellipse,
x²/4 + y²/16 = 1

Thus, the required equation of an ellipse is given by x²/4 + y²/16 = 1.

Learn more about the conic section here:
https://brainly.com/question/22105866
#SPJ2

What are the names of these polygons?

Answers

Answer:

1)Quidrilateral

2)Pentagon

Someone please help me

Answers

Answer:

 1. X:    0, -3

 2. Y:   1, -1

 3. Z:    4, -4

 4. M:   -4, 1

 5. N:    -2, 2

 6. P:    2, 4

 7. Q:    2, 0

 8. R:   -3, -1

Answer:

1. (0,-3)

2. (1,-1)

3. (4,-4)

4. (-4,1)

5. (-2,2)

6. (2,4)

7. (2,0)

8. (-3,-1)

9-17: first photo

18a: second photo

18b. A pentagon.  When you connect the points, the shape has 5 sides

Step-by-step explanation:

What is the area of the figure to the nearest hundredth 14m and 4 m

Answers

First you have to find the area of the rectangle which is 14 cm by 4 cm = 56 cm and then find the area of the semicircle which is 1/2(radius by pi): 0.5(4 by 3.14)= 12.56cm
56 cm+ 12.56 cm =68.560 cm to the nearest hundredth is 68.56 cm
Hope it helps☺️

Answer: I believe its 56

Step-by-step explanation:

how many 3/2s are in 5

Answers

Answer:

15 fifths

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3/2 is equal to 1.5 and 3 1.5s can fit in 5 equaling 4.5

Find z if the standard normal curve area between – z and z is 0.4530.

Answers

Answer:

Step-by-step explanation:

Hi,

1) Find z if the standard normal curve area between -z and z is 0.4530.

Y1 = normalcdf(-x,x,0,1) - .4530 and x = .60226

a. ± 0.118

b. ± 0.398

c. ± 0.602 <==ANSWER

d. ± 0.752

2) If a random variable has the normal distribution with μ = 104.3 and σ = 5.7, find the probability that the value will be greater than 112.3

normalcdf(112.3, 500, 104.3, 5.7) = .08023

a. 0.08 <==ANSWER

b. 0.09

c. 0.10

d. 0.11

3) Determine a 90% confidence interval for μ if σ = 5, \bar{x} = 70, and n = 82. Answer interval rounded to two decimal places.

70 ± 1.645 (5/√82) or 69.09 to 70.91 <==ANSWER

I hope that helps!! :-)

What is the solution to the system? x + y = 4 x+y=1​

Answers

Given :

x + y = 4x + y = 1

To Find :

The value of x and y.

Answer :

x + y = 4 ....[Equation (i)]x + y = 1......[Equation (ii)]

Adding eqⁿ (ii) and eqⁿ (i) we get :

→ x + y + x - y = 4 + 1

→ 2x = 5

→ x = 5/2

x = 2.5

Now, put the value of x = 5/2 in eqⁿ (i) we get :

→ x + y = 4

→ 5/2 + y = 4

→ y = 4 - 5/2

y = 1.5

Isabelle is plotting a pentagon on a grid. So far, she has plotted and connected the three points shown on the grid below.

On a coordinate plane, lines connect points (negative 2, 4), (negative 3, 2), and (0, negative 2).

To complete the pentagon, she can choose only from the points below.

(2, 0), (–2, 0), (–2, 4), (2, 4)

How can Isabelle complete her pentagon?
Connect the point already at (0, –2) to a new point at (2, 0), and then connect
( 2, 0) to (–2, 4).
Connect the point already at (0, –2) to a new point at (–2, 0), and then connect ( –2, 0) to (–2, 4).
Connect the point already at (0, –2) to a new point at (–2, 0), connect ( –2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Connect the point already at (0, –2) to a new point at (2, 0), connect
(2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).

Answers

Answer:

D

Step-by-step explanation:

Connect the point already at (0, –2) to a new point at (2, 0), connect

(2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).

Im pretty sure

Answer:

D

Step-by-step explanation:

2) LaChina spherical glass decorative balls that she is filling with blue liquid to match the color of
her room. If there is 4,000 cubic inches of liquid to be poured into 20 glass spheres, what is the
diameter of each sphere? Round to two decimal.

Answers

Answer:

8000

Step-by-step explanation:

Hello! :)
Please help me solve this + explain your answer :)

I will indeed give you Brainlst <3

Answers

Answer: the triangles are congruent

Step-by-step explanation: if u add up all the angles u get 180 so all angles are congruent

Please help me if u know

Answers

Lol I’m lookin for the same answer

When Georgie buys three boxes of apples she has 40 pounds more than when she has one box of apples. How many pounds of apples will there be an eight boxes?

Answers

Answer:

160 pounds

Step-by-step explanation:

If she has 3 boxes and there's 40 more pounds than if she had one, that means each box is 20 pounds so multiply 20 by 8 and you get 160 pounds

Can somebody help me thank you.

Answers

The second one (7x6)-6= 36 you multiply 7 and 6 to find the total batteries and them minus 6 for the batteries used in the flash light

SOMEONE PLEASE PLEASE HELP ME

Answers

Answer:

taking cos

co62=b/h

cos 62=x/12

0.46947x12=x

so, x = 5.633

rounding off

x= 6

Answer:

x = 6.0

Step-by-step explanation:

Formula For Cos: cos (angle°) = adjacent/hypotenuse

Angle = 62

Adjacent = x

Hypotenuse = 12

cos (angle) = adjacent/hypotenuse

cos (62) = x/12

0.67350716232 = x/12

0.67 = x/12 (Rounded to make further calculations simpler)

12(x/12) = 12(0.67)

x = 8.04

x = 6.0 (Rounded to nearest tenth)

Therefore, x = 6.0

Hope this helped! <3



On Friday and Saturday, there were a total of 200 cars in a parking lot. On Friday, there were 120
m the lot. What percent of the total number of cars were in the parking lot on Saturday?

Answers

Answer:

0.4

Step-by-step explanation:

Does the graph in Exercise 33 have a Hamilton path? If

so, find such a path. If it does not, give an argument to

show why no such path exist​

Answers

;

Answer:

there is a graph first step to but I cannot draw it on here but you already have your answer without Step 2

Step-by-step explanation:

a simple path in a graph G that passes through every vertex exactly once is called a path . the graph G has no past because any past containing all vertices must contain one of the edges (e, c) (d, f ) and (B, G) move than once .

A pizzeria charges $2 per slice of pizza, plus an additional $0.75 per topping. If
Erica has at most $12.50 to spend on her pizza, how
many toppings could she get
on ONE slice of pizza? Write an inequality expression that represents the
situation and solve! Explain your reasoning (no work, no points)! You can
copy/paste the following symbols as needed: 2s<>
Your answer

Answers

Answer:

Maximum amount of toppings is 14 inequality is t <=14

Step-by-step explanation:

let t be the amount of toppings on the pizza

0.75t + 2 <= 12.50

0.75t <= 10.50

t <= 14

it would be 14. 2 minus 12.50 is 10.50 which divided by .75 is 14

Need help please ???????

Answers

Answer:

5pm

Step-by-step explanation:

5 x 4= 20 miles

4 x 5= 20 miles

which expression is equivalent to 15+8x+3+2x​

Answers

Answer:

10x + 18

Step-by-step explanation:

First, we need to add like terms. Like terms are terms that are alike. For instance 8x and 2x are like terms. 15 and 3 are also like terms.

So, we have to add 8x plus 2x and 15 plus 3. That’s comes out to 10x plus 18.

Therefore, this expression is equivalent to 10x + 18.

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