ABCE is a parallelogram . determine the meaSure of

ABCE Is A Parallelogram . Determine The MeaSure Of

Answers

Answer 1

Answer:

D. 78°

Step-by-step explanation:

ABCD is a parallelogram.

Measures of the opposite angles of a parallelogram are equal.

Therefore,

[tex]3x = x + 52 \\ \\ 3x - x = 52 \\ \\ 2x = 52 \\ \\ x = \frac{52}{2} \\ \\ x = 26 \\ \\ m\angle B = (3x) \degree \\ \\ m\angle B = (3 \times 26) \degree \\ \\ m\angle B = 78\degree[/tex]


Related Questions

You have $125 in a savings account and you deposit an equal amount into your account each week. After 5 weeks the account holds $170. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.

Answers

Answer: 10x=y

Step-by-step explanation:

So if you subtract 170-125 you get 50. If you divide 50 by the 5 weeks you geat 10. So there is ten dollars a week going into the bank account.

A line includes the points (-8,8) and (6,4). Select the correct point slope form equations of this line. (Remember there can be more than one)



Group of answer choices

y-8=(-2/7)(x+8)

y+8=(-2/7)(x-8)

y-4=(-2/7)(x-6)

Answers

Answer:

y-8=(-2/7)(x+8) and y-4=(-2/7)(x-6)

Step-by-step explanation:

Point slope form equation: y - y₁ = m(x - x₁)

m is the same for all your answer choices, so you can disregard that part.

First point: (-8,8)

x₁ = -8; y₁ = 8

Plug those values into the point slope form equation and you get:

y-8=(-2/7)(x+8)

Do the same for the second point, and you get:

y-4=(-2/7)(x-6)

Answer:

first and third options

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope- formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 8) and (x₂, y₂ ) = (6, 4)

m = [tex]\frac{4-8}{6+8}[/tex] = [tex]\frac{-4}{14}[/tex] = - [tex]\frac{2}{7}[/tex]

using (a, b ) = (- 8, 8 ), then

y - 8 = - [tex]\frac{2}{7}[/tex] (x - (- 8) ) , that is

y - 8 = - [tex]\frac{2}{7}[/tex](x + 8) ← first option

using (a, b ) = (6, 4 ), then

y - 4 = - [tex]\frac{2}{7}[/tex] (x - 6) ← third option

5/12<__<3/4 what answer goes in the blank

Answers

Answer:

We have:

5/12<__<3/4

To complete the blank, we need to find a number that is larger than 5/12, but smaller than 3/4.

This is ratter easy, the first step would be to write both limits with the same denominator.

we can rewrite the upper one as:

3/4 = (3/3)*(3/4) = 9/12

Where we multiplied the numerator and denominator by the same number, 3.

Now we have:

5/12 <  < 9/12

Then in the blank, we could input any number like:

5/12 + 1/12 = 6/12

6/12 is larger than 5/12, but smaller than 9/12

We also could use 7/12, or 8/12.

And those are the ones easy to find, actually, there are infinite numbers that can fill the blank.

Then to complete the answer we will write:

5/12 > 6/12 > 9/12

4t + 2u
w;t= 2 and u= 1

Answers

15

Step-by-step explanation:

4t + 2u²- u³

4×2=8

2×1=2²=8

1³=1

8+8-1

16-1=15

There are 32 desks in a room,
If x represents the number of rows of desks, which expression would equal the number of desks in each row?
32 x
32-x.
32 +x
32/x

Answers

Answer
32/x
Explanation
I think this is correct, the others wouldn’t make sense

The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.

Given that, there are 32 desks in a room.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Now, x represents the number of rows of desks.

The number of desks in each row = Total number of desks in a room / The number of rows of desks

= 32/x

The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.

To learn more about an expression visit:

https://brainly.com/question/13947055.

#SPJ5

The cost, including sales tax, of a Ford Focus SE is $19,392.70. If the sales tax is 6%, find the cost of the car before the tax was added.

Answers

Answer:

the price before taxes was $18,229.13

Step-by-step explanation:

How to I write 1 2/3 as an improper fraction help ASAP

Answers

You would write 5/3 for it to be an improper fraction
you would write it as five over three
[ 5/3 ]

Are the following equations parallel, perpendicular, or neither? y= 3x - 1 and y =
-1/3x + 10 *
Parallel
Perpendicular
Neither

Answers

Answer:

Perpendicular

Step-by-step explanation:

What basic fact can you use to divide 2,800 by 7

Answers

Step-by-step explanation:

2800/7 = 400, ,

please you can see the upper paper which

can to solve this division math

What is the answer I need help pls

Answers

Answer:

The answers are,

-3, -7

-2, 4

0, 2

2, 8

3, 11

Step-by-step explanation:

You just plug in the domain values into the equation and solve for f(x), so your domain number is your x value and the y value(f(x) value) is the answer

PLZ HELP ASAP WILL GIVE BRAINLIEST

Answers

can anyone help me on my recent question please

James borrows $4,200 to pay his college tuition. He signs a 5-year simple interest loan. If the monthly payments are $78.40, what is the interest rate on the loan?

Answers

Answer:

2.4%

Step-by-step explanation:

Total amount of payments:

5 years * 12 months/year * $78.40/month =

= $4704.00

Amount of interest paid in 5 years:

$4704 - $4200 = $504

Amount of interest paid in 1 year:

$504/5 = $100.80

Annual percent rate of interest:

$100.80/$4200 * 100% = 2.4%

Answer: 2.4%

Which of the following slopes of a line passes through points (2, 3) and (4,7) ?
5
2
3
O

Answers

Answer:

2

Step-by-step explanation:

slope = (difference in y)/(difference in x)

slope = (7 - 3)/(4 - 2)

slope = 4/2 = 2

Answer: 2

given that 16 ounces equal 1 pound , how many ounces are in 6.7 pounds

Answers

Answer:107.2

Step-by-step explanation:

Answer:

107.2

Step-by-step explanation:

6 x 16 = 96

.7 x 16 = 11.2

add them to get 107.2

Solve this simultaneous e
x + y = 26
3x + y = 56

Answers

Answer:

x= 15 and y= 11

Step-by-step explanation:

The goal here is to solve

x + y =26 and

3x + y =56 for the variables x and y.

First, let's work on your first equation, x + y =26

After this initial survey of the equations, the system of equations we'll set out to solve is:

x+y = 26 and 3x+y = 56

Let's start by solving x+y = 26 for the variable x.

Move the y to the right hand side by subtracting y from both sides, like this:

From the left hand side:

y - y = 0

The answer is x

From the right hand side:

The answer is 26-y

Now, the equation reads:

x = 26-y

To isolate the x, we have to divide both sides of the equation by the other variables

around the x on the left side of the equation.

and this is the final solution to your equation.

Next, let's solve 3x+y = 56 for the variable y.

Move the 3x to the right hand side by subtracting 3x from both sides, like this:

From the left hand side:

3x - 3x = 0

The answer is y

From the right hand side:

The answer is 56-3x

Now, the equation reads:

y = 56-3x

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

and this is the final solution to your equation.

Now, plug the earlier result, x=26-y, in for x everywhere it occurs in

y=56-3x.

This gives y=56-3(26-y). Now all we have to do is solve this for y,to have our first solution.

26-y evaluates to 26-y

Multiply 3 by 26-y

we multiply 3 by each term in 26-y term by term.

This is the distributive property of multiplication.

Multiply 3 and 26

1

3 × 26 = 78

Multiply 3 and -y

Multiply 1 and y

The y just gets copied along.

y

3 × -y = -3y

3*(26-y) evaluates to 78-3y

56 - 78 = -22

The answer is -22+3y

56-3*(26-y) evaluates to -22+3y

Move the 3y to the left hand side by subtracting 3y from both sides, like this:

From the left hand side:

y - 3y = -2y

The answer is -2y

From the right hand side:

3y - 3y = 0

The answer is -22

Now, the equation reads:

-2y = -22

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

The last step is to divide both sides of the equation by -2 like this:

To divide y by 1

The y just gets copied along in the numerator.

The answer is y

-2y ÷ -2 = y

-22 ÷ -2 = 11

The solution to your equation is:

y = 11

Lastly, to find the solution for x, we plug this answer for y into the earlier result that

x=26-y.

This gives x=26-(11). Now, simplify this.

26-(11) evaluates to 15

x= 15

So, the solutions to your equations are:

x= 15 and y= 11

Answer:

(15, 11 )

Step-by-step explanation:

Given the 2 equations

x + y = 26 → (1)

3x + y = 56 → (2)

Subtract (1) from (2) term by term to eliminate y, that is

2x = 30 ( divide both sides by 2 )

x = 15

Substitute x = 15 into either of the 2 equations and solve for y

Substituting into (1)

15 + y = 26 ( subtract 15 from both sides )

y = 11

solution is (15, 11 )

PLS ITS A TEST ILL GIVE BRAINLIEST the equation is y = -3x + 2
y=x-6

Answers

The graph is the second one, when they both meet at (2,-4).

what is m% of n please help

Answers

m% of n would technically be some amount of n. To find m%, you would have to do n * 0.m to find your answer

Nick earns 3.5%
commission on every
car he sells. How much
would he earn if he sold
a $14.000 car?

Answers

The amount he would earn is $490.

What does multiplication mean?

Multiplication is the process of determining the product of a number. It is determined by following some mathematical processes. The sign used to represent multiplication is ×.

How much will he earn?

Commission = 3.5% x $14,000

0.035 x $14,000 = $490

To learn more about multiplication, please check: https://brainly.com/question/13814687

These points are linear. Find the slope.

Answers

Answer:

5

Step-by-step explanation:

To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be calculating the slope using the two points (2, 10) and (3, 15).

Slope = [tex]\frac{rise}{run}[/tex]

          = [tex]\frac{15-10}{3-2}[/tex]

          = 5

I'm need help with this calculus question.

What is cos(5*20*34)?

Answers

Answer:

0.699

Step-by-step explanation:

cos(5*20*34)

cos(3400)

0.699

Use the following function rule to find f(-7).
f(x) = 9x - 7
O 70
O-56
0 -70
56

Answers

The correct answer is -70 if you substitute in -7 for c the equation will be = -63 -7 = -70

A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while travelling 96 km in a lake. Find the speed of boat while it is travelling in the lake, if the current of the river is 3 km/hour.

Answers

Answer:

18 miles / hour

The length of a rectangle is 4 more than twice the width length. The perimeter is 28. What is the LENGTH?

Answers

Answer:

10[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Let the width length be x.

Width length = x

Length = 2x + 4

Perimeter = width + length + width + length

                = x + 2x + 4 + x + 2x + 4

                = 6x + 8

6x + 8 = 28

6x = 28 - 8

    = 20

x = 20 ÷ 6

x = 3[tex]\frac{1}{3}[/tex]

Length (2x + 4) = 2(3[tex]\frac{1}{3}[/tex]) + 4

                         = 6[tex]\frac{2}{3}[/tex] + 4

                         = 10[tex]\frac{2}{3}[/tex]

I need this done quick pls.

Answers

Answer:

58º

Step-by-step explanation:

The sum of a triangle's interior angles is 180º. We know two interior angles, and we can solve from there: 180-(65+57)=180-65-57=180-180-122=58.

Factor using grouping: x³+ 3x² + 5x = 15

Answers

X= 1.288 or just 1.29 is the correct answer. When you factor, set each factor equal to zero.
1. Move all terms to one side of the equation, usually the left, using addition or subtraction.
2. Factor the equation completely.
3. Set each factor equal to zero, and solve.
4. List each solution from Step 3 as a solution to the original equation.

In a class of 12 boys and 8 girls, two students need to be chosen for classroom jobs.
What is the probability that Mary gets selected?

Answers

Answer:

55 percent chance or 11/20 or  0.55

Step-by-step explanation

Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios.

Which table shows the same data?

Answers

Answer:

d

Step-by-step explanation:

If the store paid $75 for a clarinet and sold it for $100, did the store mark up the price by 30%?

Answers

Answer:

No

Step-by-step explanation:

30% of $75 is $22.50 (0.3×75=22.5)

$75+$22.50=$97.50, not $100

So, the store did not mark up the price by 30% because the original price ($75) plus 30% more does not equal $100.

Answer:

no

Step-by-step explanation:

which number line correctly graphs the numbers in the list?​

Answers

Answer:

the first option

Step-by-step explanation:

possible number of extrema a 4th degree polynomial could have is:

A. 3 or 1 extrema
B. 4 or 2 extrema
C. 5 extrema
D. none ​

Answers

Answer:

A

Step-by-step explanation:

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