Parallelogram A B C D is shown. Sides A B and D C are parallel, and sides A D and B C are parallel. Angle C is (3 y + 27) degrees and angle A is (5 y minus 3) degrees. What is the measure of ∠A? ° What is the measure of ∠B? ° What is the length of segment EF? units

Answers

Answer 1

Answer:

m<A = 72 degrees

m<B = 108 degrees

Step-by-step explanation:

For the parallelogram ABCD

The sum of the opposite angle will be 180 degrees

Hence <A + <B = 180 and m<A = m<C

5y - 3 = 3y + 27

5y - 3y = 27 + 3

2y = 30

y = 30/2

y = 15

Get m<A

m<A = 5y - 3

m<A = 5(15)-3

m<A = 75 - 3

m<A = 72 degrees

Get m<B

From the equation above;

m<B = 180 - m<A

m<B = 180  - 72

m<B = 108degrees


Related Questions

Leslie has a box of markers. There are 3 black,
4 red, 2 blue, 1 brown, 2 purple, 2 yellow and 5
green markers. Create a sample space of possible
outcomes for choosing a marker. Is this a simple or compound event?

Answers

Answer:

Sample space: {Black, Red, Blue, Brown, Purple, Yellow, Green}

Simple event

Step-by-step explanation:

Sample space is a list of all the possible outcomes.

This is a simple event because you are only doing one event, such as choosing marbles from a bag.

A compound event would be multiple simple events, such as flipping a coin and rolling a dice.

Find the area of the following trapezoid.
14
7
5

Answers

Answer:

option b 66.5u square is the correct ans

true or false: the diagonals of a rectangle bisect opposite angles​

Answers

Answer:

False

Step-by-step explanation:

diagonals don't have to be congruent or bisect each other. The diagonals of a rectangle bisect its angles.

Noah randomly selects one of his eight different pairs of shoes to wear each day. Of his eight pairs of​ shoes, Noah has two pairs of boots and one pair of loafers. For how many days of the next 264 is it expected that Noah will wear either boots or​ loafers?​

Answers

Answer: I’m pretty sure it’s 11/264 days

Step-by-step explanation:

у = - 2х
y = 8x — 10

Answers

Answer:

(1,-2)

Step-by-step explanation:

The pic above the answer is how I got my answer. if you need to show your work you can use that

Natalie had 20 lbs. of cat food. If she feeds
her cat 6 of a pound daily, how many days
will the food she has last?

Answers

Answer:

3 days

Step-by-step explanation:

20/6 is 3.333

Answer:

3 days

Step-by-step explanation:

cuz after three days you will have two pounds left so you cant go another day


1. Which equation represents a line that is parallel to the line y = 4x – 1?

Answers

There are infinite equations.


Basically

4x + any number
or
4x - any number

will be parallel to your line

Marcus has 3/4 of and 8-piece pizza left over from last night. He eats 1/3 of the left over pizza for a snack. How much of the original pizza is left after his snack?​

Answers

Answer:

1/3 of the pizza remains.

Step-by-step explanation:

Matthew eats 1/3 of 1/2 of the pizza, which is (1/3)*(1/2) = 1/6 of the pizza.  The amount of pizza left is

1/2 - 1/6 = 3/6 - 1/6 = 2/6 = 1/3

1/3 of the pizza remains.

Please help with #28 I’m really struggling to figure this answer out!

Answers

Answer:

cant help you i dont one suck

what is 2y-x=-4 in slope intercept form

Answers

Answer:

y= -1/2x - 2

Step-by-step explanation:

To change standard form to slope intercept form, bring the -x to the other side of the equation.

You'll have 2y=-4-x. Since there is no number on the -x, put a 1 on the front of it. (Not necessary). You'll have 2y= -4 -1x

Make y stand on its own. Divide the other side by 2.

You will end up with y= -1/2x -2

HURRY NEED HELP ASAP


The following information is known about a loan.

Time = 8 years
Interest rate = 14%
Principal = $1,010

What is the total amount of simple interest that is earned?
$113.20
$1,131.20
$11,311.20
$113,112.00

Answers

I=p*r*t
The answer is 1131.20

Answer:

1,131.20

Step-by-step explanation:

I=prt

1,010*0.14*8

helppp ! please and thank you

Answers

Answer:

1/16 hope this helps you

see the image attached

2.3
Write the ratio in its simplest form:
Convert
2 m : 8cm: 40mm​

Answers

Answer:

1:20:500

Step-by-step explanation:

2m:8cm:4mm

Convert the three to a single unit, take mm giving 2000:80:4

In its simplest form 500:20:1=1:20:500

How to factorise

a²b² - 6abc + 9c²

can anyone explain it by step-by-step
pls ​

Answers

Answer:

here is the step by step factorization process

PLEASE I NEED URGENT HELP!!!!! lan and Jessica each save their quarters. Ian starts out with 34 quarters and saves 8 quarters a month. Jessica starts out with 2 quarters and saves 16 quarters a month. In how many months will Jessica have the same number of quarters as lan? How many quarters will each of them have?

Answers

4 months. Each will have 66 quarters.
34+8+8+8+8= 66
2+16+16+16+16= 66

Evaluate ba+cd if a=7/8 , b=−7/16 , c=0.8 , and d=1/4 . Write your answer as a mixed number in simplest form.

Answers

Answer:

-117/640

Step-by-step explanation:

ba + cd

b= -7/16

a= 7/8

c= 08.(4/5)

d= 1/4

Hence it can be calculated as follows

-7/16×7/8 + 4/5×1/4

-49/128 + 1/5

-246+128/640

= -117/640

Answer: -2 11/20

Step-by-step explanation I did this and it is correct

The average temperatures for two of the world's hottest places are given. Determine which location has the warmer average temperature and by how many degrees fahrenheit. Location A: 86.7 F and Location B: 30.1 C

Answers

Answer: City A, [tex]0.28^{\circ}C[/tex]

Step-by-step explanation:

Given

The temperature of city A is [tex]86.7\ ^{\circ}F[/tex]

The temperature of city B is [tex]30.1^{\circ}C[/tex]

We know, [tex]32^{\circ}F=0^{\circ}C[/tex]

So, [tex]86.7^{\circ}F=30.38^{\circ}C[/tex]

[tex]30.38>30.1[/tex]

Clearly, the average temperature of city A is more than city B

The difference in temperature is [tex]30.38-30.1=0.28^{\circ}C[/tex]

Alexa is driving on the freeway. She passed mile marker 400. The fastest she will drive is 65 mph, though there is a bit of traffic that might slow her down a bit, but she doesn't know exactly how much. The mile markers are increasing on her route. Write an equality that represents alexa’s speed

Answers

Answer:

she might go 50mph

Step-by-step explanation:

y = 100 - 8.9x percent

Answers

I’m not sure on this question but if you plug it into the calculator it says it is X = 1123.59551

if a mom has 6 kids and i kidnapped 2 how many kids does she have left? ;) just asking

Answers

Answer:

what if i took the 4 other ones??

Answer:

4 kids

Step-by-step explanation:

6 minus 2 equals 4. it one easy qusation

A triangle has vertices on a coordinate grid at L(9,7)L(9,7), M(9,-8)M(9,−8), and N(1,7).N(1,7). What is the length, in units, of \overline{LM} LM ?

Answers

Answer:

LM = 15 units

Step-by-step explanation:

Vertices of ΔLMN are,

L(9, 7), M(9, -8), N(1, 7)

By using formula to get the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],

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

Therefore, distance between vertices L and M,

LM = [tex]\sqrt{(9-9)^2+(7+8)^2}[/tex]

LM = 15 units

What is the approximate diameter of a tire that will make 775 complete rotations in one mile? (Note: there are 5280 feet
in 1 mile)

Answers

Answer:

About 2.17 feet.

Step-by-step explanation:

Let d represent the diameter of the tire.

Then the circumference of the tire will be:

[tex]C=d\pi[/tex]

So, the tire will travel dπ miles after one rotation.

After 775 rotations, the total miles traveled should be 5280 feet. Thus:

[tex]775(d\pi)=5280[/tex]

Solve for d:

[tex]\displaystyle d=\frac{5280}{775\pi}[/tex]

Approximate:

[tex]d=2.1686...\approx2.17[/tex]

The circumference of the tire should be about 2.17 feet.

Cups are sold in packages of 8. Napkins are sold in packages of 12.

What is the fewest number of packages of cups and the fewest number of packages of napkins that can be purchased so there will be the same number of cups as napkins?

Answers

Answer:

2 Packages of Napkins, 3 Packages of Cups

Step-by-step explanation:

12 * 2 = 24

8 * 3 = 24

Answer:

3 packages of cups and 2 packages of napkins

Find the value of x. Round to the nearest tenth of a unit. 203 m 22° O A. 82.0 m O B. 218.9 m O C. 502.4 m O D. 541.9 m​

Answers

Answer:  502.4 m

Step-by-step exp

Answer: C or 502.04

Step-by-step explanation: took the practice got 100%

this is really easy i just dont get it

Answers

Answer:

x=1

Step-by-step explanation:

We wanna have the same amount on both sides

There are 3 circles on the left and 7 circles on the right. There are also 4 triangles. Turn into numbers...

4x+3=7

4x=7-3

x=1

We can check by substituting one

7=7

An item is regularly priced at $30. It is now priced at a discount of 30% off the regular price. What is the price now?

Answers

The price of the item will be 21$

What is the closure property of multiplication for rational
expressions? Explain why rational expressions are
closed under multiplication.

Answers

Answer:

Sample Response: The closure property of multiplication for rational expressions states that the product of two rational expressions is a rational expression. Since the variable in a rational expression just represents a number, and the closure property holds true for multiplication of rational numbers, it also holds true for multiplication of rational expressions for values for which the expressions are defined.

Step-by-step explanation:

What is the area of this composite figure??

Answers

Answer=53

Step-by-step explanation:

2/5p-3.11=1.13
what is p

Answers

2p-4+16=5p-9

-3p-4+16=-9

-3p-4=16+-9

And if you can solve from there cuz that's a lot of mental math for me. if u see these:() always distribute whatever is before it.

Did this help?

The triangle shown has an area of 32.5 square centimeters. Find the measure of the base (segment XY)

Answers

Answer:

XY = 13 cm

Step-by-step explanation:

Area of a triangle formula:

area = base × height / 2

a = bh / 2

Plug numbers into equation:

32.5 = b × 5 / 2

Multiply both sides by 2 to isolate the variable

65 = b × 5

Divide both sides by 5 to isolate the variable

13 = b

Check your work:

32.5 = 13 × 5 / 2

32.5 = 65 / 2

32.5 = 32.5

Correct

Answer:

13

Step-by-step explanation:

Area=½×b×h

32.5=½×b×5

32.5=5/2b

To get be multiply each side by reciprocal of 5/2 which is 2/5

b =13

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