Suppose point D is in the interior of ∠ABC
, m∠ABC=12x−110
, m∠ABD=3x+40
, and m∠DBC=2x−10
. W

Answers

Answer 1

Answer:

[tex]ABC = 130[/tex]

Step-by-step explanation:

Given

[tex]ABC=12x - 110[/tex]

[tex]ABD=3x+40[/tex]

[tex]DBC=2x - 10[/tex]

Required

Determine the measure of ABC --- Missing part of the question

First, we need to determine the value of x

Since, D is an interior of ABC, then

[tex]ABC = ABD + DBC[/tex]

[tex]12x - 110 = 3x + 40 + 2x - 10[/tex]

Collect Like Terms

[tex]12x - 3x - 2x = 110 + 40 - 10[/tex]

[tex]7x = 140[/tex]

Solve for x

[tex]x = 140/7[/tex]

[tex]x = 20[/tex]

Substitute 20 for x in [tex]ABC=12x - 110[/tex]

[tex]ABC = 12 * 20 - 110[/tex]

[tex]ABC = 240 - 110[/tex]

[tex]ABC = 130[/tex]


Related Questions

Can someone please help me with this question.

Answers

Answer:

h = (A - 9)/6

Step-by-step explanation:

Step 1: Define

A = b² + 2bh

b = 3

Step 2: Substitute

A = (3)² + 2(3)h

Step 3: Evaluate and solve for h

A = 9 + 6h

A - 9 = 6h

(A - 9)/6 = h

Using the distributive property and combining like terms to simplify the expression.
-5(x+2)+5(x-5)​

Answers

Answer:

-35

Step-by-step explanation:

-5 (x + 2) + 5 (x -5)

Expand:

= -5x - 10 + 5 (x - 5)

Expand once more:

= -5x - 10 + 5x - 25

Simplify:

-35

Easy 7th grade work . I’ll give brainliest.

Answers

Answer:

Step-by-step explanation:

672 - (-36) = 672 + 36 = 708 degrees

If x-5/4=9/5, then x=

Answers

Answer:

x-5/4=9/5

5x-25=36

5x=36+25

x=61/5

x=12.2

x would be 61/20 in this instance

what does the x equal too ?
15 - 2x = -3

Answers

Answer:

-2x = -3-15

-2x = -18

x = +9 :

Answer:

x=9

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable

3 (w+4) + 2=27
3w+12+2w=27
5w+12= 27
-12 -12
5w= 15
—— ——
5 5
w=3

Answers

Answer:

Step-by-step explanation:

3w + 12 + 2w = 27

5w + 12 = 27

5w = 15

w= 3

Simplify: 5x - 6y + 4x
A) 9 x - 6 y
B) 3 xy
C) x - 6 y

Answers

Answer:

A) 9 x - 6 y

Step-by-step explanation:

: 5x - 6y + 4x

5x + 4x - 6y =9 x - 6 y

How many times larger than 71 is 710?

Answers

Answer:10

Step-by-step explanation:

Brain can type 50 words per minute. He needs to finish typing his 700-word essay and already has 375 words typed. Write and solve an equation to determine the number of minutes (m) that it will take Brain to finish writing his essay. ( round your answer to the nearest tenth)​

Answers

Answer:

Step-by-step explanation:

Every minute he types 50 words, so in 700 he types for 14 min. The next step is that there 375 words already done. So you take 700 and and subtract it by 375 and that is 7. Hope It helped you out

the following inequality for q. Write
your answe
2q - 7 > 3q +1

Answers

Answer:

q<−8

Step-by-step explanation:

I hope this help helps

Answer:

q<−8

Step-by-step explanation:

Evaluate each expression.

d = 5

e = 8

f = 10

Answers

Answer:

d=f

Step-by-step explanation:

Answer:

d=5

Step-by-step explanation:

Jane has 35 hair bows. Jane's sister has H more hair bows than Jane. Write an expression that shows how many hair bows Jane's sister has.

Answers

Answer: 35+H

Step-by-step explanation:

Answer:

35 + H

Step-by-step explanation:

Jane has 35 hair bows.

Her sister has H more hair bows than Jane.

35 + H = The amount of hair bows Jane's Sister has.

2. Mr. Leu is thinking about getting a new cell phone data plan. He looks at two
different cell phone companies US Cellular and Verizon. US Cellular has a plan
where he pays $36 per month and $12 per GB of data he uses per month.
Verizon has a plan that charges $54 per month and $10 per GB of data he uses
per month. How many GB of data would he have to use in a month to make both
plans cost the same? Which plan would you recommend he use?

Answers

Answer:

he would have to use all of it and then $16 more to make both plans cost the same. I think he should go with US Cellular

Step-by-step explanation:

just because

Hey please answer below :)

I will choose the brainiest answer :)

many thanks

Answers

Answer:

1280

106

Step-by-step explanation:

Please Help!!! brainliest answer!

Answers

It’s c for sure bro because look at the triangle and the letter trust homie

Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $ 7.50 $7.50dollar sign, 7, point, 50 delivery fee and $ 14 $14dollar sign, 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $ 60 $6

Answers

Answer:

5 pizzas Sorry i may be wrong

Step-by-step explanation:

The inequality that models this situation is given by:

[tex]7.5 + 14p \leq 60[/tex]

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

The first step towards building the inequality is finding Jacque's total spending.The delivery, which if a fixed fee(paid only once), is $7.50.Then, each pizza will cost $14, thus, the cost of buying p pizzas is [tex]14p[/tex].Thus, the total spending is of:

[tex]T = 7.5 + 14p[/tex]

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

He wants the cost under $60, and thus:

[tex]T \leq 60[/tex]

Since [tex]T = 7.5 + 14p[/tex], the inequality is:

[tex]7.5 + 14p \leq 60[/tex]

A similar problem is given at https://brainly.com/question/17495861

647,224 likes/8 hours to calculate a u it rate for likes per minute, what new ratio would you create?

Answers

There are 480 minutes in 8 hrs so 647224/480. However you can only simplify it to 80903 likes/ 60 minutes (1hr).
If you want per minute, then irregular ratio of 1348.38333333 likes per minute

Answer:

the new ratio is 1348 likes per min.

Step-by-step explanation:

given:

647,224 likes/8 hours

find:

calculate a unit rate for likes per minute

= 647,224 likes   x   1 hour  

        8 hours             60 min

= 1348.33

therefore,

the new ratio is 1348 likes per min.

if 1 and -3 are the zeroes of the polynomial xcube - axsquare - 13x + b find the values of a and b​

Answers

Step-by-step explanation:

f(x) = x³ - ax² - 13x + b.

f(1) = 1³ - a(1)² - 13(1) + b = 0

=> 1 - a - 13 + b = 0, b - a - 12 = 0.

f(-3) = (-3)³ - a(-3)² - 13(-3) + b = 0

=> - 27 - 9a + 39 + b = 0, 12 - 9a + b = 0.

Therefore, b - a - 12 = 12 - 9a + b. 8a = 24, a = 3.

=> b - (3) - 12 = 0, b = 15.

Emanuel works as a car salesman. He makes $13 an hour plus a commission of 5% on all cars he sells. Last month he worked 40 hours and sold cars worth $120,000. How much did he make last month?

Answers

Answer:

$6520

Step-by-step explanation:

salary = hourly rate * hours + 5% of sales

salary = $13/hour * 40 hours + 0.05 * $120,000

salary = $520 + $6000

salary = $6520

Sakura buys some softballs at $3 each and bats at $35 each for her PE class.
She buys twice as many balls as bats. She spends $131 in total, which
includes $8 tax. Which equation would you use to find the number of bats she
buys?
Let x represent the number of bats she buys.

Answers

Given :

Cost of each ball , $3.

Cost of each bat , $35 .

Total money spend , $131 .

She buys twice as many balls as bats.

Tax , $8 .

To Find :

The number of bats she  buys .

Solution :

Let , x represent the number of bats she buys.

So , number of balls she buys is 2x .

[tex]35x+3(2x)+8=131\\\\35x+6x=123\\\\41x=123\\\\x=3[/tex]

Therefore , number of bats she buys is 3 .

Hence , this is the required solution .

Answer:

Cost of each ball , $3.

Cost of each bat , $35 .

Total money spend , $131 .

She buys twice as many balls as bats.

Tax , $8 .

To Find :

The number of bats she  buys .

Solution :

Let , x represent the number of bats she buys.

So , number of balls she buys is 2x .

Therefore , number of bats she buys is 3 .

Hence , this is the required solution .

Step-by-step explanation:

What is the decimal expansion of 11/40

Answers

Answer:

0.275

Step-by-step explanation:

I know this is super easy but i'm stupid please help!! (3/4)^3= ???

Answers

[tex] \huge\sf {\dag Question} [/tex]

[tex] \large\sf { {\dfrac{3}{4}}^{3}} [/tex]

[tex] \huge\sf {\dag Solution } [/tex]

[tex] \large\sf { \leadsto \dfrac{3 \times 3 \times 3}{4 \times 4 \times 4}} [/tex]

[tex] \large\sf { \leadsto \dfrac{27}{64} (Ans) } [/tex]

If f(x) = 4x + 8 and g(x) = \/x + 4,
what is (fºg)(12)?


Answers

Answer: 24

Step-by-step explanation:

(fºg)(12) would be f(g(12))

Plug in 12 for g(x) = square root of (12+4) = 4

Plug 4 in f(x)

f(4) = 16 + 8

=24

Missi designed a stained glass window and made a scale drawing using centimeters as the unit of measurement. She originally planned for the length of the window to be 44 in. but decided to change it to 48 in. If the length of the window in her scale drawing is 4 cm, which statement about the change of scale is true?
One cm represented 11 in. in the first scale, but now 1 cm represents 12 in. in the second scale.
One cm represented 44 in. in the first scale, but now 1 cm represents 48 in. in the second scale.
One cm represented 1 in. in the first scale, but now 1 cm represents 1 in. in the second scale.
One cm represented 12 in. in the first scale, but now 1 cm represents 11 in. in the second scale.

Answers

Answer:

A. One cm represented 11 in. in the first scale, but now 1 cm represents 12 in. in the second scale.

Hope this Helps!

Answer:

you answer is A

Step-by-step explanation:

i got it right on the quiz

What is 11/12 + ( - 7/12)

Answers

Answer:

1/3

Step-by-step explanation:

11/12 + (-7/12)

11/12 - 7/12 =

4/12 =

1/3

Hope this helps.

If BC = 35 and AC =52 , find AB

Answers

Answer:

AB = 47 (answers may vary)

Step-by-step explanation:

BC = 35

AC = 52

C, in fact, can be any number you choose less than 35;

For example,

C= 20

35 - 20 = 15

B = 15

52 - 20 = 32

A = 32

AB = 32 + 15 = 47

Using the diagram above solve for y

Answers

Answer:

y = 31°

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

The tree diagram shows all the possible combinations for heads (H) and tails (T) when 3 coins are tossed. What is the probability that the outcome has at least two heads?

Answers

Answer:

No diagram so I'll make one:

H H H

H H T

H T H

T H H

T T H

T H T

H T T

T T T

There are 8 possible outcomes and four of these have 2 heads.

Probability = 4 / 8 = .50

Step-by-step explanation:

Probability of getting at least two heads after tossing 3 coins is equals to (1 / 2).

What is probability?

" Probability is defined as a mathematical statement which represents the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Number of coins tossed =3

As shown in the tree diagram drawn we have,

Total number of outcomes = 8

At least two heads means 2 or more than two

Here.

HHH, HHT,HTH, THH

Number of favourable outcomes of getting at least two heads = 4

Substitute the value in the formula of probability we get,

Probability = (4 / 8)

                  = ( 1 / 2)

Hence, probability of getting at least two heads after tossing 3 coins is equals to (1 / 2).

Learn more about probability here

https://brainly.com/question/11234923

#SPJ2

HELP MEEEEEEEEEEEEEEEEEE

Answers

It is A

Because if it is a & negative it will work either way if you try all of them.

Answer:

The answer would be C.

I am having trouble solving this question. please give me a detailed and elaborate answer and also please attach the plotted graph for my reference.

Thank you very much,

Answers

Answer:

$ 2000

Step-by-step explanation:

Find the equation. You find the gradient by using the gradient formula (rise/run)

that would be

1600 - 800 over 40 - 20

800/20

m (gradient) = 40

Hence 40x ...

Answer:

See below

Step-by-step explanation:

Refer to attached

Using two of the points to determine the function:

(20, 800), (40, 1600)

Function is:

y = mx + b

Finding m and b:

m = (1600 - 800)/(40-20) = 800/20 = 40800 = 40*20 + bb = 0

So the function is:

y = 40x

For x = 50, we get

y = 40*50 = 2000

50 l diesel costs  $2000

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