15. Find M /_ B.

C
(5x + 18)

B
(8x + 7)

D
(10x + 13)

A
(14x - 11)

15. Find M /_ B.C(5x + 18)B(8x + 7)D(10x + 13)A(14x - 11)

Answers

Answer 1

Answer:

  B = 79°

Step-by-step explanation:

The sum of interior angles of a quadrilateral is 360°.

  (14x -11)° +(8x +7)° +(5x +18)° +(10x +13)° = 360°

  37x +27 = 360 . . . . . . divide by °, collect terms

  37x = 333 . . . . . . . . subtract 27

  x = 9 . . . . . . . . . . . divide by 37

The measure of angle B is ...

  B = (8x +7)° = ((8)(9) +7)°

  B = 79°

_____

Additional comment

The other angles are ...

  A = 115°, C = 63°, D = 103°


Related Questions

(SHOW UR WORK) 98.73 ÷ 15 = ?

Answers

Answer:

3291÷500 or 6.582

Step-by-step explanation:

98.73 divide by 15 = 6.582

Cara and Amber have saved $43. Amber has saved $3
more than 3 times the amount Cara has saved. How
much money has each girl saved?

Answers

Let the amount Cara has is X

Amber has 3x +3

Together they have 43:

3x +3 + x = 43

Simplify:

4x +3 = 43Subtract 3 from both sides:

4x = 40

Divide both sides by 4:

x =  10

Cara has $10 and Amber has $33

Answer:

Cara saved $43 and Amber saved $132.

Step-by-step explanation: 3+3(43)=132

Hope this helps

can someone help me with this please

Answers

Answer:

  A.1: ∠BAC ≅ ∠BDC ≅ ∠EDF, ∠ACD ≅ ∠ABD ≅ ∠BDE ≅ ∠CDF

  A.2: ∠1 ≅ ∠4, ∠2 ≅ ∠3 ≅ ∠5 ≅ ∠6

  A.3: ∠2 ≅ ∠3

  B.1: ∠ACD ≅ ∠CAB, ∠CDA ≅ ∠ABC, ∠DAC ≅ ∠BCA

  B.2: ∠1 ≅ ∠3 ≅ ∠5, ∠2 ≅ ∠4 ≅ ∠6

  see "additional comment" regarding listing pairs

Step-by-step explanation:

There are a number of ways angles can be identified as congruent. In each case, the converse of the proposition is also true.

opposite angles of a parallelogram are congruentcorresponding angles where a transversal crosses parallel lines are congruentalternate interior angles where a transversal crosses parallel lines are congruentvertical angles are congruentany two angles with the same measure are congruent

In these exercises, pairs of angles need to be examined to see which of these relations may apply.

__

A

Left

ABCD is a parallelogram, so the congruent angles are opposite angles and any that are vertical or corresponding:

  ∠BAC ≅ ∠BDC ≅ ∠EDF ≅ 110° (3 pairs)

  ∠ACD ≅ ∠ABD ≅ ∠BDE ≅ ∠CDF ≅ 70° (6 pairs)

Center

  ∠1 ≅ ∠4 ≅ 66° (1 pair) . . . . vertical angles

  ∠2 ≅ ∠3 ≅ ∠5 ≅ ∠6 ≅ 57° (6 pairs) . . . . marked with the same measure, and their vertical angles

Right

Assuming that lines appearing to go in the same direction actually do go in the same direction, the only pair of congruent angles in the figure is ...

  ∠2 ≅ ∠3

__

B

Left

Corresponding angles in congruent triangles are congruent. Here, the congruent triangles are ΔACD ≅ ΔCAB. So, the pairs of congruent angles are ...

  ∠ACD ≅ ∠CAB (30°)

  ∠CDA ≅ ∠ABC (90°)

  ∠DAC ≅ ∠BCA (60°)

Right

The corresponding angles and any vertical angles are congruent. This means all the odd-numbered angles in the figure are congruent, and all the even-numbered angles in the figure are congruent. The marked 72° angles show the "horizontal" segments are parallel by the converse of the corresponding angles theorem.

  ∠1 ≅ ∠3 ≅ ∠5 (72°) (3 pairs)

  ∠2 ≅ ∠4 ≅ ∠6 (108°) (3 pairs)

_____

Additional comment

The question asks you to list pairs of congruent angles. When 3 things are congruent, they can be arranged in 3 pairs:

  a ≅ b ≅ c   ⇒   (a≅b), (a≅c), (b≅c)

Similarly, when 4 things are congruent, they can be arranged in 6 pairs:

  a ≅ b ≅ c ≅ d   ⇒   (a≅b), (a≅c), (a≅d), (b≅c), (b≅d), (c≅d)

In the above, we have elected not to list all of the pairs, but to list the set of congruences from which pairs can be chosen.

Let f(x)=−2x+3f(x)=-2x+3. Find each of the following:

f(a)=f(a)=
2f(a)=2f(a)=
f(2a)=f(2a)=
f(a+2)=f(a+2)=
f(a)+f(2)=f(a)+f(2)=

Answers

Answer:

1. f(a) = -2a + 3

2. 2f(a) = -4a + 6

3. f(2a) = -4a + 3

4. f(a+2) = -2a - 1

5. f(a) + f(2) = -2a + 2

Step-by-step explanation:

for each one, just plug whatever is inside the parentheses inside the equation as x. For example, f(a) = -2(a) + 3. The a replaces all the x's

DeShawn is 38 years old and is married with 3 children, ages 2, 4, and 6. He makes $45,000 a year and is planning to retire when he turns 60. From the following three options, DeShawn decides to buy the $900,000 20 year term policy. Given DeShawn’s scenario, assess whether DeShawn made a wise decision. Annual life insurance premium (per 1,000 dollars of face value) for age 38. A 20-year term for male is 15 dollars and 38 cents, and for female is 14 dollars and 88 cents. Whole life: for male is 22 dollars and 40 cents, female is 20 dollars and 4 cents. 20-year endowment: male is 30 dollars and 5 cents and female is 29 dollars and 63 cents. A. DeShawn would be safer buying whole life policy. B. DeShawn would have more money in the long run if he invested in the 20-year endowment. C. DeShawn’s current policy will cover his family for an adequate period of time at his current salary. D. DeShawn’s current policy has too high of a face value and does not cover his family long enough. Please select the best answer from the choices provided A B C D.

Answers

Answer is C I took the quiz

The correct answer to Deshawn's decision is; C: DeShawn's current policy will cover his family for an adequate period of time at his current salary.

What is the benefit of the pension Policy?

From the scenario in the question about the policy chosen by DeShawn, we can say that DeShawn made a good decision. This is because his current policy will cover his family for an adequate period of time at his current salary.

Now, it must be noted that the premiums are nominal and as such he will earn a good salary which will help to cover all the expenses and premiums.

Read more about Pension Policy at; https://brainly.com/question/27232329




The value of y is
one-fourth
the value of x. Why is it addiction

Answers

Answer:

Ummm because its not a negative sign in front of it

Step-by-step explanation:

i d k t b h

The temperature is 20 degrees below zero. What numerical value represents the temperature?

Answers

Answer:

-20

Step-by-step explanation:

The product of 5 and the sum of x+6

Answers

should be 1.
5*1=5
-1+6=5

If 6 men can dig 4 ditches in an hour.how many men would be required to dig 6 ditches

Answers

Answer:

8 men

Step-by-step explanation:

Translate 1 unit right and 2 units up

Answers

Answer:

Step-by-step explanation:

It basically means move from the spot you are at 1 step/square right. Moving up means to go two steps/squares up/forwards.

What is true about the cell cycle? Select all that apply.
ALL cells divide during the cell cycle.
it is the repeating stage of a cell, including cell division
cytoplasm divides during cytokinesis
Mitosis occurs during the mitotic phase

Answers

The true statement about the cell cycle is that all cells divide during the cell cycle and the Cytoplasm divides during cytokinesis.

What are the stages of the cell cycle?

The cell cycle is known to be made up of 3 main stages. They are;

Interphasemitosis Cytokinesis.

In the interphase stage of the cell cycle, the cell often grows and organelles such as mitochondria and ribosomes are known to be formed.

Learn more about the  cell cycle from

https://brainly.com/question/7196669

There are 20 people in a room. What percent of the room is filled if it has a capacity of 160
people?

Answers

The answer is 12.5%.
20 ÷ 160 =0.125 or 12.5%

Use the graph to write a linear function that relates y to x

Answers

81- answer is ok but im not suree

What is the total surface area of this rectangular prism?
Round your answer to the nearest tenth.
1 mm
1 mm
7 mm

Answers

The answer would be 49
7x1=7
7^2
7x7
49

Ray hired a moving company to help him move to a new apartment. The equation below.
represents the relationship between the number of hours it takes to move (x) and the total cost
to move (y).

- 100 = 240x - 2y

What is the cost per hour?

Answers

Answer:

$120/hr

Step-by-step explanation:

if x is hours to move and y is total cost, let's rearrange the equation so that it is easier to understand.  I'd say isolate y (total cost) and see what it is equal to:

- 100 = 240x - 2y

2y = 240x + 100

y = 120x + 100

What I see is:  Total Cost = 240*(Hours to move) + 100

That tells us that each hour is $120.  It also discloses that there appears to be an upfront charge of $100, before any work is done( even at 0 hours).  [If the movers come to the apartment, but you've changed your mind, then it still costs $100].

It also tells us that the charge per hour is $120.  [If I had a pickup, I'd do it for $100/hour, but my tiny Honda Accord trunk barely holds the spare tire.]

Question 11
The mean of five numbers is 16.
When two extra numbers are included the mean of the seven numbers is 20.
Find the mean of the two extra numbers.

Answers

Answer:

30

Step-by-step explanation:

The mean of 5 numbers is 16 => the sum is 16 x 5 = 80

The mean of 7 numbers is 20 => the sum is 20 x 7 = 140

So, the sum of the 2 extra numbers is 140 - 80 = 60
And the mean will be 60 : 2 = 30

Hope it helps :D

A ROUND-TRIP bus ticket to NYC costs $10.45. A pack of ten single-trip tickets for the same trip is $39.40. This pack is good for 20 days, counting the day purchased.

1. If Singh purchases a ten-trip ticket pack on Thursday, July 7, by what day must he use this last trip?

2. How much does he save by buying the ten-trip packet?

Answers

1. Singh must use his last trip on Tuesday, July 26 as it includes the day the pack is purchased

2. A 10 pack of single trip tickets is worth 5 round trip tickets. Buying 5 round trip tickets instead would cost $52.25 instead of $39.40, so Singh would save $12.85

Consider AABC with vertices A B C (3,1), (1, 2),and (4, 2) as shown in the accompanying diagram.

Is the triangle a right triangle? Justfify.

Answers

Answer:

  yes; AB ⊥ BC

Step-by-step explanation:

If the triangle is to be a right triangle, the slopes of two sides must be opposite reciprocals. The slope is the ratio of rise to run.

  mAB = rise/run = -3/4

  mBC = rise/run = 4/3

These slopes, -3/4 and 4/3 are opposite reciprocals (their product is -1), so ...

  AB ⊥ BC . . . the triangle is a right triangle

Help! Pls answer this question.PANICK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

i think x=36

Step-by-step explanation:

3x + 2x = 5x = 180

x = 180÷5 =36

Check the picture below.

What is the volume of a square
pyramid with the base length of
24in and a height of 18in?

Answers

Answer:

V=3456

Step-by-step explanation:

V=[tex]a^{2}[/tex][tex]\frac{h}{3\\}[/tex]

Which figure shows the correct dimensions of a 310 scale drawing of the given figure?

Answers

Answer: the scale copy of the given figure is the fourth answer

Step-by-step explanation:

The volume of a rectangular prism with base area B and height h is Bh. Jayla bought a rabbit cage shaped like a rectangular prism. The area of its base is 12 square feet and it is 2.25 feet high.

Answers

Answer:

5.3 repeating

Step-by-step explanation:

What is the measure of angle C in the following pentagon?

Answers

Answer:

122

Step-by-step explanation:

The sum of interior angles of a pentagon is 540. The angles we have are 105, 86, 137, and 90. This means that if you subtract those from 540, you get 122.

A side of the triangle below has been extended to form an exterior angle of 79°. Find the value of x. ??????

- 100 point question

Answers

Answer:

x = 101 °

Step-by-step explanation:

Here give ∠ ACD exterior  angles 79 °

[Angle Addition Postulate and definition of straight angle: ]

∠ACD + ∠ACB = 180

79 + n = 180

n =180-79=101

n = 101

[RevyBreeze]

Apply supplementary angle theorem

They have sum 180°

[tex]\\ \rm\rightarrowtail x+79=180[/tex]

[tex]\\ \rm\rightarrowtail x=180-79[/tex]

[tex]\\ \rm\rightarrowtail x=101[/tex]

Which is NOT an improper fraction that is equal to 8 ????

Answers

Answer:

There are many improper fraction equal to eight, they include: 8/1, 16/2, 24/3, 32/4, 40/5, 48/6, 56/7, 64/8, 72/9 etc.When a multiple of eight is divided by the other factor with with when multiplied to eight gives the multiple, the result will be eight

8/1 is the most simple improper fraction.

the question is confusing....

Answers

Answer:

[tex]c=35r+10[/tex]

Step-by-step explanation:

We need to create a linear equation in the form: c = mr + b

(where m is the slope and b is the y-intercept)

Choose two ordered pairs from the table:  (2, 80) and (4, 150)

Let [tex](r_1,c_1)[/tex] = (2, 80)

Let [tex](r_2,c_2)[/tex] = (4, 150)

Calculate the rate of change (slope of linear equation) by dividing the change in c by the change in r:

[tex]\textsf{slope} \ m=\dfrac{c_2-c_1}{r_2-r_1}=\dfrac{150-80}{4-2}=35[/tex]

Now use point-slope form of linear equation to create final equation:

      [tex]c-c_1=m(r-r_1)[/tex]

[tex]\implies c-80=35(r-2)[/tex]

[tex]\implies c=35r+10[/tex]

The regular price of a shirt is $24.99. This week, the shirt is marked 10%
off. About how much money would you save if you bought the shirt this
week?

Answers

Answer:

You would pay $22.49

You would save $2.50

Step-by-step explanation:

Answer:

22.49 dollars

Step-by-step explanation:

….


15. The ticket price for a concert in a historic music hall cost $11.20 for the concert with a program and a
hall restoration fee of d dollars. The price for 11 tickets comes to $128.15. What equation could
represent this situation? What is the cost of the hall restoration fee?

Answers

The equation that shows this is 11.20x11 + d= 128.15

hong has been saving $6 each week. Today he spent $90 of the savings, and he now has $48 left. For how many weeks has he been saving? HELP ASAP PLSSS!!​

Answers

Answer:

he has been saving for 98 weeks

Step-by-step explanation:

well 90 + 48 / 6 = 98

oranges sell for $0.38 per pound. How much will 192 oranges cost?​

Answers

$0.38×192=$72.96

So the answer is $72.96

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