1. Quadrilateral EFGH is an isosceles trapezoid. If mG is four times mH, what is mE? A)18° C)72° D)144° B)36°

Answers

Answer 1

Answer:

<E = 36 degrees (Answer B)

Step-by-step explanation:

Recall that the addition of all internal angles in a quadrilateral must equal 360 degrees. Then we can write the equation that states this as:

<E + <F + <G + <H = 360

Notice as well that we are dealing with an isosceles trapezoid, so there is a symmetry along the line that passes through the midpoints of sides FG and EH (the two bases). That means that the measures of angles <F = <G and <E = <H .

The previous equation then can be written as:

<H + <G + <G + <H = 360

Also, since we are told that <G = 4 <H, we can use this info in the equation as shown below:

<H + 4 <H + 4 <H + <H = 360

10 <H = 360

divide both sides by 10 to isolate <H

<H = 360 / 10

<H = 36

Since as we mentioned, <E equals <H, we can state that

the measure of <E = 36 degrees (Answer B)

Related Questions

Hi algebra is hard please help: The expression (8x+ 4) inches represents the perimeter of a rectangle whose width is (3x − 4) inches. Find the length of the rectangle if x = 2

Answers

Answer:

Length = 4 inches

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

If x = 2

Perimeter = 8x - 4

= 8(2) - 4

= 16 - 4

= 12 inches

Width = 3x - 4

= 3(2) - 4

= 6 - 4

= 2 inches

Perimeter of a rectangle = 2(length + width)

12 = 2(length + 2)

12 = 2length + 4

12 - 4 = 2 length

8 = 2 length

Length = 8/2

Length = 4 inches

A university has three table tennis scholarships each worth $1000. How many ways are there to award these after they've narrowed
the candidates to 6 ping pong players?
Blank 1:

Answers

Answer:

1. In the presence of restrictions; A player cannot win more than one scholarship;

The number of ways is 120 ways

2. In the absence of restrictions; A player can win more than 1:

The number of ways is 216 ways

Step-by-step explanation:

Here, to award the scholarships, the restrictions we might have is that a student cannot win more than 1 scholarship

Given this restriction;

The first scholarship has 6 possible contenders

The second has 5

The third has 4

So, the number of possible ways is;

6 * 5 * 4 = 120 ways

In the absence of no restrictions where a student can win any number of scholarships;

We have the 3 scholarships being awarded in 6 possible ways

So the total number of ways will be;

6 * 6 * 6 = 216 ways

Triangle ABC is similar to triangle XYZ. Solve fort. t=1 С 13.5 12 А A 19.5 B 4 Y 2 4.5 t Х

Answers

Answer: 6.5

Step-by-step explanation:

Jasmine invests 2658 in a retirement account with a fixed annual interest rate of 9% compounded annually what will the account balance be after 4 years

Answers

Without making a function out of it, all you need to do is the initial amount 2658$ x 1.09 (1,09 is like adding 0,09 to the total amount 1,00. Which, in % is adding 9% to the total amount 100%.)
= 2897.22$

Since it is compounded every year, you redo the same operation but on the new higher sum you just got.

In total, after 4 years you will have 3751,98$

As an estimation we are told 5 miles is 8 km.
Convert 7.5 miles to km.

Answers

Answer:

converting 7.5miles to km.i have...

1mile = 1.6km

7.5miles=xkm...

cross multiplying I have..

xkm=7.5 × 1.6

xkm=12

Answer:

12km

Step-by-step explanation:

5 miles = 8 km

→ Work out how much kilometres in a mile

1 miles = 1.6km

→ Multiply both sides by 7.5

7.5 miles = 12km

If the Quadratic functions for the equations are graphed, which is the widest?
A. y = x^2
B. y = 2x^2
C. y = 6x^2
D. y = 1/4x^2

Answers

y = ax^2

If the absolute value of a is <1 the graph is wider than when a = 1

If the absolute value of a is >1 the graph is narrow than when a = 1

The only function that fits that description is

y = 2x^2

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

The cost of renting ice skates at a skating is $1.25. The rink charges $3.25 for each hour, x, of skating. Which graph best models this situation, where y is the total cost to go skating?

Answers

Answer:

Step-by-step explanation:

y = 3.25x + 1.25

1.25 is y-intercept

3.25 is the slope of a graph.

If x = 0, then y = 1.25

(0, 1.25)

If x = 3, then y = 3.25(3) + 1.25 = 11

(3, 11)

It should be (3,11) goodluck

James and Sarah went out to lunch. The price of lunch for both of them was $40. They tipped their server
10% of that amount.
How much did each person pay If they shared the price of lunch and the tip equally?
Each person pald

Answers

Answer:

20%

Step-by-step explanation:

Enter the value of x.

Answers

10 is the answer because using the Pythagorean theorem 6^2 + 8^2 = 100. The square root of 100 would be 10

8^2+6^2= x^2

64+36=100

Once you get X^2 you have to square root it. The square root of 100 is 10.

X=10

Please help! I don't understand. view photo.

Answers

Answer:

Step-by-step explanation:

they are asking about the exponential

b/c it has a 3 in the exponent, it's a cubic and because it has two terms you can call it a binomial

Write an expression to represent:
Nine more than the quotient of two and a number x

Answers

Answer:

9+(2/x)

Step-by-step explanation:

I flipped 2 coins 100 times each. They both landed on heads 19 times, 2 tails 29 times, and 1 heads 1 tails 52 times. What is the theoretical AND experimental probability of the coins landing in all 3 ways?

Answers

Answer:

1.What is the theoretical probability that a coin toss results in two heads showing?

33%

2.What is the experimental probability that a coin toss results in two heads showing?

25%

3.What is the theoretical probability that a coin toss results in two tails showing?

33%

4.What is the experimental probability that a coin toss results in two tails showing?

21%

5.What is the theoretical probability that a coin toss results in one head and one tail showing?

33%

6.What is the experimental probability that a coin toss results in one head and one tail showing?

54%

Step-by-step explanation:

Hope this helps, I just finished my assingmnet like this tonight :))

HELP QUICK!!!
Which equation results from isolating a radical term and squaring both sides of the equation for the equation
sq root c-2-sq root c =5

Answers

Answer:

Step-by-step explanation:

√(c-2) - √c = 5

√(c-2) = √c + 5

c-2 = c + 10√c +25

lucy works for 37 hours per week. her weekly wage is £303.40. she receives a pay increase of 25p per hour. work out her new weekly wage

Answers

Answer:

312.65

Step-by-step explanation:

The new weekly wage is $312.65 if the Lucy works for 37 hours per week. Her weekly wage is £303.40.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Lucy works for 37 hours per week.

Weekly wage = $303.40

Per hour wage = 303.40/37 = $8.2 per hour

1 dollar = 100 penny(p)

25p = $0.25

New wage per hour = 8.2 + 0.25 = $8.45

Total wage = 8.45×37 = $312.65

Thus, the new weekly wage is $312.65 if the Lucy works for 37 hours per week. Her weekly wage is £303.40.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

how far is 18 from -14 on a number line

Answers

Answer:

Step-by-step explanation:

add the absolute value of -14 and 18

What is the measure of angle 3 in degrees?

27 degrees

33 degrees

60 degrees

153 degrees

Answers

27 degrees (i think)

1. Find the slope and the y-intercept
of the graph of the linear equation.
y = -7x + 2
A) slope: -3; y-intercept: 2
1
B) slope: 2; y-intercept: -7
C) slope: -7; y-intercept: 2
D) slope: 2; y-intercept: -7

Answers

Answer:

c) slope: -7 ; y-intercept: 2

Step-by-step explanation:

Note the slope intercept form:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Note in this case:

y = (-7)x + 2

y = y

m = -7

x = x

b = 2

c) slope: -7 ; y-intercept: 2 is your answer.

Someone plz help me giving brainliest

Answers

Answer:

13/20

Step-by-step explanation:

Add up all the hours and then subtract by the total hours given.

leah buys 3 adult and 3 child bus passes for a trip. the costs of an adult pass is a. the costs of a child pass is c. write an expression that will show the costs for all of the bus passes for the trip.

Answers

Answer:

Step-by-step explanation:

Circle A has center of (6, 7), and a radius of 4 and circle B has a center of (2, 4), and a radius of 16.

Answers

Answer:

See solutions below

Explanation

We are to find the equation of circle A and B

The equation of a circle is expressed as;

(x-a)^2 + (y-b)^2 = r^2

(a, b) is the centre and r is the radius

For Circle A that has center of (6, 7), and a radius of 4

Substitute;

(x-6)^2 + (y-7)^2 = 4^2

(x-6)^2+(y-7)^2 = 16

Hence the equation of circle A is (x-6)^2+(y-7)^2 = 16

For circle B:

If circle B has a center of (2, 4), and a radius of 16

The equation is expressed as;

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

(x-2)^2+(x-4)^2 = 256

Hence the required equation is (x-2)^2+(x-4)^2 = 256

Is this right? Will mark branliest for the correct answer

Answers

Answer:

Step-by-step explanation:

it’s the first one :)

Write the ratio as a fraction in simplest from 2ft to 30 in

Answers

Step-by-step explanation:

QUESTION IN THE PICTURE

HALPPPPP

Answers

Answer:

All real numbers

Step-by-step explanation:

All vertical parabolas have a domain of all real numbers

PLEASE ANSWER!
The function shown is in the form y= x^2 + k. Determine the value of k.

A. -1
B. 0
C. 1
D. -1/2

Answers

I think the answer is - 1. I'm not sure

Order the ANGLES in each triangle from SMALLEST to largest.

Answers

Answer:

S,R,Q

Step-by-step explanation:

Help plz. I don't get this.

Answers

Answer:

6/4

Step-by-step explanation:

up 6 and over 4

　　°　　　•　　.°•　　　 ✯

　　°　　　•　　.°•　　　 ✯　　　★　*　　　　　°　　　　　°·　　

　　°　　　•　　.°•　　　 ✯　　　★　*　　　　　°　　　　　°·　　 .　　　•　° ★　• ☄

　　°　　　•　　.°•　　　 ✯　　　★　*　　　　　°　　　　　°·　　 .　　　•　° ★　• ☄▁▂▃▄▅▆▇▇▆▅▄▃▁▂

Make a triangle to find c, the hypotenuse.

Using the Pythagorean Theorem:

a^2+b^2=c^2

4^2+6^2=c^2

16+36=c^2

52=c^2

7.211102550927=c

7.2~c

If Jan can buy 12 copies of a certain book for $40, what is the unit rate for cost per copy? How much
would it cost her to buy 18 copies at the same rate?

Answers

Answer:

12 copies=$40

1 copy=$40÷12=$3.33

18 copies=$3.33×18=$60

9 + 15m

factorisation of algebraic expression that contain common factor

Answers

The common factor would be 3 because 3 is the highest multiple of 15 and 9

Answer:3(3+5m)

Step-by-step explanation:

Drag each number to the correct location in the image. Each number can be used more than once, but not all numbers will be used. consider the equation below.

Answers

Answer:

Step-by-step explanation:

you are playing rock , paper , scissors with your friend . what is the probability that your will throw something other than rock ?
A. 1/2
B. 2/3
C. 1
D. 1/3

Answers

Answer:

2/3

Step-by-step explanation:

the correct answer would be 2/3

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1. Quadrilateral EFGH is an isosceles trapezoid. If mG is four times mH, what is mE? A)18° C)72° D)144° B)36°​

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1. Quadrilateral EFGH is an isosceles trapezoid. If mG is four times mH, what is mE? A)18° C)72° D)144° B)36°