In parallelogram ABCD, the measure of angle A is 99 degrees. Explain why the
measure of adjacent angle B must be 81 degrees.

Answers

Answer 1

Answer:

The measure of angle B must be 81° because angles A and B are interior supplementary angles

Step-by-step explanation:

Let us revise the properties of a parallelogram

In any parallelogram:

Every two opposite sides are parallelEvery two opposite sides are equal in lengthEvery two opposite angles are equal in measureEvery to adjacent angles are interior supplementary angles

Let us solve our question

In parallelogram ABCD

∵ AD and BC are opposite sides

AD // BC

∵ ∠A and ∠B are adjacent angles

→ That means ∠A and ∠B are interior supplementary angles

∠A and ∠B are supplementary angles

∵ The sum of the measures of the supplementary angles is 180°

m∠A + m∠B = 180°

∵ m∠A = 99°

∴ 99° + m∠B = 180°

→ Subtract 99° from both sides

∴ 99° - 99° + m∠B = 180° - 99°

m∠B = 81°

The measure of angle B must be 81° because angles A and B are interior supplementary angles


Related Questions

Write three different complex fractions that simplify to 1/4.

Answers

Answer:

7/11 over 28/11

15/4 over 15

13/16 over 13/4

Step-by-step explanation:

here r some examples

g(x) = -3x + 1

solve for x (which is 22)

Answers

Answer:

-65

Step-by-step explanation:

Answer:

-65

Step-by-step explanation:

-3(22) + 1

-65

help it’s confusing

Answers

Answer:

The independent variable

Step-by-step explanation:

b

Step-by-step explanation:

the amount that he gets paid for every lawn does not change only the amout for every hour

help pleaseeeeeeeeeee

Answers

the answer is the last 2. the 3rd one are both equal to -72 and the last one they both equals to 0.75.

How many chemical changes occurred in this scenario? one two three four

Answers

Answer:

Only one :p

Step-by-step explanation:

Answer:

one

Step-by-step explanation

When we put toast in the toaster he didn't do anything but heat up the toast, so the property and identity of this piece of toast hasn't changed at all. When we put jam and peanut butter on it all it did was add flavor to it still didn't change the identity. But when we cut the apple in to a lot of slices the property of the apple has changed and the weight is different and the chemical property isn't the same. ( it is totally different)

A new underground rollercoaster is being installed. The height of the rollercoaster in feet throughout the underground section is modeled by the equation h(d) = 0.15d2 – 1.5d, where d represents horizontal distance in feet. What's the height of the rollercoaster 6 feet horizontally through the underground section?

Answers

Answer:

3.6 feet

Step-by-step explanation:

The height of the rollercoaster in feet throughout the underground section is modeled by the equation :

[tex]h(d) = 0.15d^2 - 1.5d[/tex] ....(1)

We need to find the height of the rollercoaster 6 feet horizontally through the underground section.

Put d = 6 feet in equation (1) as follows :

[tex]h(6) = 0.15(6)^2 - 1.5(6)\\\\h=-3.6\ \text{feet}[/tex]

or

h = 3.6 feet

So, the height of the rollercoaster 6 feet horizontal through the underground section is 3.6 feet.

Answer:

3.75 feet

Step-by-step explanation:

Write each set in the indicated form. If you need to use "" to indicate a pattern, make sure to list at least four elements of the set. As you answer below, remember that the natural numbers are just the counting numbers. This means that is not a natural number, and negative numbers are not natural numbers either.

Answers

Complete question is;

Write each set in the indicated form.

If you need to use "..." to indicate a pattern, make sure to list at least four elements of the set.

As you answer below, remember that the natural numbers are just the counting numbers. This means that is not a natural number, and negative numbers are not natural numbers either.

(a) Roster form: {6,8,10,12,...}

Descriptive form:

(b) Descriptive form: The set of natural numbers greater than or equal to 3 and less than or equal to 6.

Roster form:

Answer:

A) Descriptive form: A set of even natural numbers that are greater than or equal to 6.

B) Roster form: {3, 4, 5, 6}

Step-by-step explanation:

A) We are given that the roster form is;

{6,8,10,12,...}

Now, the descriptive form is just a statement that describes the given roster form.

Now, we can see they are all even natural numbers and the least is 6 while after 12,we can see that the set continues.

Thus;

Descriptive form: A set of even natural numbers that are greater than or equal to 6.

B) We are given that the descriptive form is the set of natural numbers greater than or equal to 3 and less than or equal to 6.

This means the least number in the set is 3 while the highest number is 6.

Thus,the roster form is;

Roster form: {3, 4, 5, 6}

A 10 ounce can of corn cost 1.88 cent what is the unit rate

Answers

Answer:

5.319149 oz per dollar

Step-by-step explanation:

This is a fraction equal to

10 oz ÷ 1.88 dollars

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1.88

10 oz ÷ 1.88

1.88 dollars ÷ 1.88

=  

5.319149 oz

1 dollar

=  

5.319149 oz

dollar

= 5.319149 oz per dollar

I looked up a unit rate calculator and this is what I got because honestly i forgot how to do this but I hope it helps.

It normally takes Julius 2 hours to mow the yard, but because he is in a hurry he asks his son, Marcos, to help him. If just his son was doing the yard work it would take him 3 hours. How long will it take if both are working together? Use the formula 1/T_1 +1/T_2 =1/T_both where T_1 is the time required for Julius to complete the job alone, T_2 is the time required for Marcos to complete the job alone, and T_both is the time required to complete the job when they both work together. Answer as a decimal, rounded to one decimal place.

Answers

Answer: 1.2 hours

Step-by-step explanation:

Given: : Time taken by Julius to complete the job alone: [tex]T_1=2\text{ hours}[/tex]

Time taken by Marcos to complete the job alone : [tex]T_2=3\text{ hours}[/tex]

Let the time taken by both to complete the job together = T

[tex]\dfrac{1}{T}=\dfrac{1}{T_1}+\dfrac{1}{T_2}[/tex]

[tex]\Rightarrow\ \dfrac{1}{T}=\dfrac{1}{2}+\dfrac13\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{3+2}{2\times3}\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{5}{6}\\\\\Rightarrow\ T=\dfrac{6}{5}=1.2[/tex]

Hence, it will take 1.2 hours to complete the job by working together.

Which of these operations is not closed for polynomials?
O A. Addition
O B. Division
O C. Multiplication

Answers

B. Division I hope this worked

A salt mixture has 8 parts water and 2 parts salt. Suppose one part of each is added. What is the new ratio of salt
to water?
2to 9
3to 8
3 to 9
9 to 3 I will giv brainliest

Answers

Answer:

3 to 9

Step-by-step explanation:

will give brainliest!

Answers

Answer: I recommend starting treatment immediately. If you take more than 8 days to make a decision, the disease can no longer be cured because it will affect more than 50% of the body.

Step-by-step explanation:

The percentage of the body affected by the disease is a function of the number of days:  

P(d) = 6d + 5

This percentage is a dependent variable and the number of days is the independent variable.

If we give values to d, we can calculate the percentage of the body affected by the disease.

P(1)= 6·1 + 5 = 11%

P(2)= 6·2 + 5 = 17%

P(3)= 6·3 + 5 = 23%

P(4)= 6·4 + 5 = 29%

P(5)= 6·5 + 5 = 35%

P(6)= 6·6 + 5 = 41%

P(7)= 6·7 + 5 = 47%

P(8)= 6·8 + 5 = 53%

Depending on the days since the beginning of the disease, the doctors have a treatment for a different stage.

Starting immediately, the treatment will be stage 1: less than 15%

Starting on day 2 or 3, the treatment will be stage 2: 15-25%

After day 3, the treatment will be stage 3: 25-50%

After day 8, there is no cure: more than 50% of the body is affected by the disease.

I recommend starting treatment immediately. If you take more than 8 days to make a decision, the disease can no longer be cured because it will affect more than 50% of the body.

Spymore


Jaelon knows that the left and right sides must weigh the same. How heavy is the left
side of the bar that Kenneth will lift if he does not add or remove any plates?

A 7 lbs.
B 47 lbs.
C 52 lbs.
D 94 lbs.

Answers

Answer:

Step-by-step explanation:

What’s the answer?

Answer:  7lbs

Step-by-step explanation: You start off with the equation

6x+5 = x+40  Next you subtract 5 from both sides

    -5      -   5

_____________         Then, subtract x from both sides

   6x = x+35

    -x   -x

_____________                  Then divide 5 form both numbers

   5x= 35

   5       5                     Your answer is 7

    x= 7

arwrerhrrwgewgewgrwqegwewes

Answers

I believe that the answer is A.

When dividing or multiplying both sides of an inequality by a negative number, you?

Answers

Answer:

Flip the sign.

Step-by-step explanation:

For example if it was -2<3 youd flip the sign when you get your answer. So it would be -2>3 except itd be your answer. I just made this problem up but flip the sign!

simplify the expression
ab – 2ac + cb

Answers

Answer:2

Step-by-step explanation:

What’s 6e+3e-7e simplified

Answers

Answer:

2e

Step-by-step explanation:

6e + 3e - 7e

= 9e - 7e

= 2e

Joel used a half gallon of paint to cover 84 square feet of wall he has 932 square feet of walls of paint how many gallons of paint should you purchase​

Answers

Answer:

About 6 gallons of paint

Step-by-step explanation:

[tex]\frac{0.5}{84}[/tex]  =  [tex]\frac{x}{932}[/tex]

84x=932(0.5)

84x=466

x  =  5.55

round up to get about 6 gallons of paint

The number of the gallon of paint is need will be 5.547 gallons of paint.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Joel used a half gallon of paint to cover 84 square feet of wall.

Then in one gallon of paint he can cover 168 square feet.

He has 932 square feet of walls of paint.

Then the number of the gallon of paint is need will be

⇒ 932 / 168

⇒ 5.547 gallons of paint

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

If two quantities vary directly, which must be true of a graph showing the relationship between them? Select all that apply.
A) The graph is a curve.
B) The points on the graph are connected.
C) The graph increases from left to right.
D) The points of the graph form a straight line.
E) The points of the graph must include the origin.
F) The points must all form equivalent ratios.

Answers

Answer:

Step-by-step explanation: D. F. And

E

Find a cubic function with the given zeros 7,-7,-4

Answers

f(x) = (x-7)(x+7)(x+4)

= (x^2 - 49)(x+4)

= x^3 + 4x^2 - 49x - 196

Solve: -3x + 8 = x + 28

Answers

Answer:

x = -5

I hope this helps!

Answer:

-5

Step-by-step explanation:

I really hope this helps

Is the function f(x) = (x+2)/2

A. Even

B. Odd

C. Neither

Answers

Answer:

c

Step-by-step explanation:

68 is the product of h and 4

Answers

Answer:

h = 17

Step-by-step explanation:

68 / 4 = 17

Product  = multiplication but since we didn't have h we divided

Brainiest would be noice!

High Hopes^^

Barry-

Answer:

I think you are trying to find h if so h=17

all you have to do is divide 68 and 4

Triangle ABC is shown with four images that are each the result of a transformation of triangle ABC
5
D
4 +6
3+B
N
1
-5 -4 -3 -2 -14
1 2 3
4
5
X
G
S
For which triangle is one reflection necessary for the transformation to occur?
O AGHI
O AJKL
O AMNP O AQRS

Answers

Answer:

AGHI

Step-by-step explanation:

I took the quiz on edgenuity

The triangle where one reflection necessary for the transformation to occur is triangle GHI.

What is a triangle?

A triangle is known to be a polygon that is made up of three edges and it is one that also has three vertices.

Note that order of arrangement of the vertices in ΔABC can be regarded as a clockwise direction. The same is with the images except for the one of  ΔGHI. A reflection is needed when reversing a sequence of vertices. but only one reflection is needed to obtain an image like that of ΔGHI.

Learn more about triangle from

https://brainly.com/question/17335144

Find the slope of the line whose equation is
2x - 4y = 8.

A. -4
B. 7
C. -1/2
D. 1/2

Answers

Answer:

D)

Step-by-step explanation:

PLEASE HELP. EASY POINTS.

Answers

Answer:

2x^2+11x+12

Step-by-step explanation:

solve using FOIL

              x         +       4

     _________ ________

2x |       2x²      |       8x       |

     __________________

3   |        3x       |      12        |

    -----------------------------------

(x + 4) (2x + 3) = 2x² + 11x + 12

slope = -5 and goes thorough point (0, 2)​

Answers

Answer:

[tex]y=-5x+2[/tex]

Step-by-step explanation:

[tex]y-y_{1} =m(x-x_{1} )\\y-2=-5(x)\\y-2=-5x\\y=-5x+2[/tex]

Please help me out .

Answers

Answer:

Midpoint is on 0; Midpoint is Point K

Step-by-step explanation:

Please help!!!
Geometry

Answers

Answer:

MQ= 4        PQ=8

Step-by-step explanation:

Since PM and PQ are congruent, we know that MQ is 4 also. We can just double 4, and know that PQ is 8.

If each movie takes 1 2/5 hours to download,and you download for 5 1/4 hours,how many movies did you download

Answers

Answer:

Step-by-step explanation:

3

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