Mathematics High School

For Exercises 8-10, use trapezoid DEFG with EG = 21 ft and m DGF = 77 to find each measure.
8. ED =
9. DF =
10. m<DEF=

​

For Exercises 8-10, Use Trapezoid DEFG With EG = 21 Ft And M DGF = 77 To Find Each Measure. 8. ED =9.

Answers

Answer 1

Answer:

what class is this ???

Step-by-step explanation:

Answer 2

The value of each measure are,

8. ED = 16 ft

9. DF = 21 ft

10. m ∠DEF = 103°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

In trapezoid DEFG,

⇒ EG = 21 ft and m ∠DGF = 77°

Now, We know that;

In trapezoid, The sum of the angles on the same side is equal to 180°.

Hence, We get;

⇒ ∠ DGF = ∠ GDE = 77°

And, We get;

⇒ ∠ DEF + ∠ EDG = 180°

⇒ 77° + ∠ DEF = 180°

⇒ ∠ DEF = 180° - 77°

⇒ ∠ DEF = 103°

Since, In trapezoid opposite non parallel line are equal in length.

Hence, We get;

⇒ ED = FG

⇒ ED = 8 + 8

⇒ ED = 16

In trapezoid, Diagonal are equal in length.

Hence, We get;

⇒ DF = EG

⇒ DF = 21 ft

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ2

Related Questions

Brittany bought a dress that cost $22.50. If the sales tax is 6.5%, how much tax did she pay?

Answers

Answer:

$1.46

Step-step explanation:

We have to find out what 6.5% of 22.5 is, our keyword is of, so we're multiplying. Our equation is:

22.5 x 0.065 = 1.46

So our tax is $1.46

36n + 30
Greatest common factor of this?

Answers

the greatest common factor for 36 and 30 would be 6.
The GCF is 6
6( 6n + 5)
Because
36/ 30
2/3/ 6

Help plz!!! The graphs shows y as a function of x.
Which of the statements regarding the interval are correct when analyzing the graph?
The graph is increasing between the interval -5 The graph is increasing between the interval -2 The graph is decreasing between the interval 0 The graph is decreasing between the interval 2 The graph is decreasing between the interval 5< X < 6

Answers

Answer:

1, 2, 3 are correct

4&5 are not because 4 is increasing and 5 is staying the same

Answer:

first 4 are correct

Step-by-step explanation:

(7) Length of the base of a triangle is 12 cm.if the base is triple the height,
The area of the triangle = ?
(a) 36 cm
(c) 24 cm
(b) 144 cm
(d) none of the previous

Can someone please solve this with steps?

Answers

Area of triangle = 1/2bh. So 12x4x0.5= 24cm squared

trish walked 3 blocks to the store at a pace of 1/3 blocks every 2 minutes. How long did it take her to walk to the store

Answers

18 minutes i’m pretty sure

HURRRY DUE IN 1 HR HEEELLLLPPP

Answers

Answer:

3* 2*3*2 is n

Step-by-step explanation: well find a way to put 3 and 2 two times in expressions and expressions have no equal signs steer clear of that.

I toss a coin 20 times. comes up "Heads" 7 times. What is the 1 point
relative frequency of getting a "Head"?


Someone help please I have to finish this quickly—

Answers

Answer in fraction form =  7/20

Answer in decimal form = 0.35

Answer in percent form = 35%

These are three ways to say the same thing.

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

Explanation:

To get the relative frequency, you divide the number of times heads comes up out of the number of tosses total. Reduce the fraction as much as possible. In this case, 7 and 20 have no factors (other than 1) in common. So the fraction 7/20 cannot be reduced further.

The fraction 7/20 converts to the decimal form 0.35 after using a calculator or long division.

0.35 converts to 35% after moving the decimal over to the right two spots.

please help i'm so confused and its due todayyy :(
will mark brainliest!!

Answers

Answer:

C

Step-by-step explanation:

Because lets say we have a point (1,2)

when reflecting this point over the y-axis it becomes (-1,2) so only the sign of the X value changes. Therefore by writing the system f(x)=g(-x) it changes the X value.

how many units apart are (3.1,-1) and (4.1,-1)

Answers

Answer:

The points are 1 unit apart.

Step-by-step explanation:

Given points are:

(3.1,-1) and (4.1,-1)

Distance formula is given by;

Distance between points = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Where,

[tex](x_1,y_1)[/tex] = Coordinates of first point

[tex](x_2,y_2)[/tex] = Coordinates of the second point

Putting the values,

Distance = [tex]\sqrt{(4.1-3.1)^2 + (-1-(-1))^2[/tex]

Distance = [tex]\sqrt{(1)^2 + (-1+1)^2[/tex]

Distance = [tex]\sqrt{(1)^2}[/tex]

Distance = 1 unit

Hence,

The points are 1 unit apart.

An experiment consists of spinning the spinner
below. What is the theoretical probability it will
land on green?
Green
Yellow
Red
Red
Green
Yellow Green
0.43
0.5
0.75
0.375

Answers

Answer:

total outcomes= 8

green = 3

probability to get green = 3/8 = 0.375

Hideki buys a skateboard that costs c dollars. After 6.5% sales tax is added, the total cost can be expressed by the expression c+0.065c
. What is this expression written in simplest form?

Answers

Answer: c(1 + 0.065)

Step-by-step explanation:

Help
I will give u 10 points

Answers

Answer:

D 30

Step-by-step explanation:

each angle in the hexagon=120°

angleSMN=120°

all triangles =180° in total

180-120= 60

60÷2 =30

remaining 2 angles = 30° each

The following are the temperatures in °C for the first 8 days of January: -4.5, -1.5, 2, 3, -5, -2, -0.5, 2.5 What is the median temperature for those 8 days?

Answers

Answer:

-1

Step-by-step explanation:

put numbers in order

-5 , -4.5 , -2 , -1.5 , -0.5 , 2 , 2.5 , 3

add two middle numbers up

- 1.5 + - 0.5 = -2

-2/2 = -1

Here are the first four terms of a sequence.
4
11
22
37
Find an expression, in terms of n, for the nth term of this sequence.

Answers

Answer:

aₙ = 2n² + n + 1

Step-by-step explanation:

We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic.

We can compare this with simple quadratic sequence

1, 4, 9, 16

and find out that doubling each term gives us

2, 8, 18, 32

This is close to our sequence, write the terms as follows to find exact rule

The first term:

a₁ = 4  = 2*1² + 2 = 2*1² + 1 + 1

The second term

a₂ = 11  = 2*2² + 3 = 2*2² + 2 + 1

The third term:

a₃ = 22 = 2*3² + 4 = 2*3² + 3 + 1

The fourth term:

a₄ = 37 = 2*4² + 5 = 2*4² + 4 + 1

The nth term as per observation above is:

aₙ = 2n² + n + 1

Answer:

Step-by-step explanation:

I need a little help with this

Answers

-Infinity < y < infinity

A clerk mixes  a 15 pound a 15 pound bag of nuts for a customer. peanuts cost $ 5.50 5.50 per  pound pound amd cashews cost $ 7.60 7.60 per  pound . Pound . the total cost comes to $ 75.50 write a system of equations to find how many pounds of peanuts and how many pounds of cashew are in the bag

Answers

Answer:

[tex]x+y= 15---------------------1\\\\5.5x+7.6y= 75.5----------------2[/tex]

Step-by-step explanation:

Given data

let the number of peanuts be x

and the number of cashew be y

so

x+y= 15---------------------1

and

5.5x+7.6y= 75.5----------------2

Hence the system of equation is given as

[tex]x+y= 15---------------------1\\\\5.5x+7.6y= 75.5----------------2[/tex]

118
154
131
112
solve for x

Answers

9514 1404 393

Answer:

  x = 115

Step-by-step explanation:

The sum of angles in a hexagon is 720°.

  x +118 +90 +112 +131 +154 = 720

  x = 115 . . . . . . . subtract 605

Can someone help please!!!

Answers

use desmos!! u just type in the equation and it will give u cordinates

please help me Factor 21x+56xy

Answers

Answer:

the answer is 7x(3+8y)

Step-by-step explanation:

Hope this helped

This Venn diagram illustrates the sample space of the numbers.


Complete the table by filling in the values for each region of the sample space.

Answers

Answer:

Image attached below

Explanation:

Plato answer

Answer:

Event   |                      ValuesE1     |    1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36 E2    |    1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35E1 & E2 |  1, 3, 5, 7, 9, 19, 21, 23, 25, 27 E1 or E2 | 1, 3, 5, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 25, 27, 29, 30, 31, 32, 33, 34, 35, 36

Step-by-step explanation:

plato / edmentum answer

Determine whether(-8,-3) is a solution of 2x -8=1 is (-8,-3) a solution to the equation ?

Answers

Answer:

No

Step-by-step explanation:

(-8,-3) does not land on the line 2x-8=1

Mrs. Renfro was teaching her class
about the states. She wrote Mississippi on cards as shown below.
If Mrs. Renfro chose a card at random,
what is the probability Mrs. Renfro
would choose a vowel?

Answers

Answer: 4 / 11

Step-by-step explanation:

There are 4 vowels in total, 11 cards.

What is the common difference of the set {(1, 0), (2, 2), (3, 4), (4, 6), (5, 8)}?
​

Answers

I need this answer too can someone please help us !!


Explanation

What is the constant of proportionality in the table below

Answers

Answer:

1/3

Step-by-step explanation:

Y/x=k that is the equation for constant of proportionality

2/6=k

1/3=k

Please help me no need to explain just drop the answers

Answers

Answer:

a) x: 0,1,2,3,4,5,6,7,8

y: 0,8,16,24,32,48,56,64

b) label the horizontal line number of yards. The vertical line is costs, label each unit in 8s.

c) constant of porportionality is 8

d) y=8x

PLEASE HELP ASAP!!!!!

Answers

Given:

The side lengths of two cubes are 2.5 yd and 2 yd.

To find:

The side length of third cube.

Solution:

From the given figure it is clear that the cubes are inclined to each other in such a way so that they form a right angle triangle and side length of third cube is the base.

Let x be the side length of the third cube.

Using Pythagoras theorem, we get

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

[tex](2.5)^2=(x)^2+(2)^2[/tex]

[tex]6.25=x^2+4[/tex]

[tex]6.25-4=x^2[/tex]

[tex]2.25=x^2[/tex]

Taking square root on both sides, we get

[tex]x=\pm\sqrt{2.25}[/tex]

[tex]x=\pm 1.5[/tex]

Side cannot be negative. So,

[tex]x=1.5[/tex]

Therefore, the side length of the  third cube is [tex]x=1.5[/tex] yd.

Solve the equations that have variables on both sides, find your answers in the legend below: *
I HAVE PUT THIS QUESTION OUT 5 TIMES PLEASE ANACER

Answers

Answer:2=B , -3=T. 5=S. 40=L

Step-by-step explanation:

Find the output, y, when the input, x, is -1.

Answers

x -1 because when you multiply y

Answer:

the output is 3

Step-by-step explanation:

look for the point on the graph whose coordinate is -1

the point on the graph whose x coordinate is -1 is (-1,3)

so its 3

PLZ HURRY
which expression is equivalent to (5r + 2) +- (4x - 3)?

Answers

Step-by-step explanation:

Answer : 5r−4x+5

hope I helped c:

Insta: brianna_editsz

The WNBA champions have a twelve-player roster that includes two superstars. If a group of five starting players for this team must include the two superstars, how many different groups of five starting players are there?

Answers

Answer:

120 groups

Step-by-step explanation:

Total number of players = 12

Number of superstars = 2

To select a group of 5 players that MUST include the two superstars can be done in how many different ways?

Since the two superstars must always be in the 5 player team

Number of players left to choose = 5 - 2 = 3

Number of players from which selection is to be made = 12 - 2 = 10

Hence, the number of ways of choosing 3 players from 10 ; 10C3

Recall ;

nCr = n! / (n-r)!r!

10C3 = 10! ÷ (10-3)!3!

10C3 = 10! ÷ 7!3!

10C3 = (10*9*8) / (3*2*1)

10C3 = 720 / 6

10C3 = 120 groups

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