1. In the figure below ABC∡=153°, ABD∢=(5x+5)°, and DBC∢=(3x+12)°. Find the measure of ABD∢ and DBC∢. Show all work

1. In The Figure Below ABC=153, ABD=(5x+5), And DBC=(3x+12). Find The Measure Of ABD And DBC. Show All

Answers

Answer 1

 If two angles form a large angle when combined, they will follow the angle addition postulate.

Measure of ∠ABD is 90° and the measure of ∠DBC will be 63°.

From the figure attached.

Two angles ∠ABD and ∠DBC are formed at a point B.

     By angle addition postulate,

m(∠ABD) + m(∠DBC) = m(∠ABC)

     Now substitute the values of each angle,

(5x + 5)° + (3x + 12)° = 153°

    Combine like terms of the expression,

(5x + 3x) + (5 + 12) = 153

8x + 17 = 153

8x = 153 - 17

x = [tex]\frac{136}{8}[/tex]

x = 17

    Substitute the value of 'x' to get the measure of each angle,

m(∠ABD) = (5x + 5)

                = 5(17) + 5

                = 90°

m(∠DBC) = (3x + 12)

                = 3(17) + 12

                = 63°

Therefore, m(∠ABD) = 63° and m(∠DBC) = 63° will be the answer.

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Related Questions

Is this right? Thank you

Answers

yes that is correct, 750t

Answer:

Incorrect, view explanation

Step-by-step explanation:

750t is basically 750 x t.

If t = 5 per say, this would be 750 x 5. It wouldn't take around 3,000 days to paint that fence. (probably)

We are trying to get the number of days, so lets focus at that.

If Olivia paints T planks per day , we are going to want to divide the number of planks (t), so we can get how many days it would take.

So lets set an example, t = 250, to simplify things.

750/250 = 3 days.

Therefore, 750/t is your correct answer instead.

Somebody help me please I need help solving this question?!

Answers

The solution respectively are as follows
-7
-2
8
13
18

74 + 12 - 18/3 × 2 - 20 = 54


PLEASE EXPLAIN HOW TO GET THIS ANSWER :)

THE SOONER THE BETTER! I'M IN A HURRY

Answers

Step-by-step explanation:

74+12-18/3×2-20=54

86-18/3×2-20=54

86-6×2-20=54

86-12-20=54

86-32=54

54=54

Hope it helps.

Please mark as brainliest.

1.8÷25.137 show work​

Answers

Answer:

[tex]\frac{200}{2793}[/tex]

Step-by-step explanation:

1. Convert the decimal into a fraction by doing this. Take 1.8 and write it above a fraction line without the decimal sign.

2. Count the decimal places and below the fraction line write the multiple of 10 with that many zeros so that would [tex]\frac{18}{10}[/tex]

3. Simplify the fraction so that would be [tex]\frac{9}{5}[/tex].

4. Now in order to divide a fraction, multiply by the reciprocal of that fraction so that would be [tex]\frac{9}{5} *\frac{1000}{25137}[/tex].

5. Now reduce the number with the gcf (greatest common factor) which would be 5. So now we have 9*[tex]\frac{200}{25137}[/tex]

6. Reduce the numbers again using the gcf which now would be 9. Now you have the answer which should [tex]\frac{200}{2793}[/tex]

A solid has twelve more edges than faces. How many vertices does it have?

Answers

Answer:

V=14

Step-by-step explanation:

PLEASE HELP ME ILL MARK BRAINIEST!!!!
Show the work please!!!!

Answers

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]  , [tex]a^{0}[/tex] = 1

5 (a)

[tex]7^{-6}[/tex] = [tex]\frac{1}{7^{6} }[/tex]

(b)

[tex]\frac{1}{10^{-3} }[/tex] = 10³

(6)

27[tex]x^{0}[/tex][tex]y^{-2}[/tex] ← substitute x = 4 , y = 3

= 27[tex]4^{0}[/tex][tex]3^{-2}[/tex]

= 27 × 1 × [tex]\frac{1}{3^{2} }[/tex]

= 27 × [tex]\frac{1}{9}[/tex]

= 3

solve the equation c2 = 43

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:

[tex]c = \pm\sqrt{43}[/tex]

»»————- ★ ————-««  

Here’s why:

I am assuming that the two is an exponent.  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'c'...}}\\\\c^2 = 43\\----------------\\\rightarrow \sqrt{c^2} = \sqrt{43}\\\\\rightarrow \boxed{c = \pm\sqrt{43}}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.

Evaluating an Expression
Evaluate (15 - 4x) + 5 when x = 3.

Answers

Answer:

8

Step-by-step explanation:

(15-4x)+5

(15-4(3))+5

(15-12)+5

3+5=8

Answer:

seven

Step-by-step explanation:

please help and explain, thanks so much.

4p^11 / 8p^6

Answers

Step-by-step explanation:

Plz make it brainlist answer

Answer:

p^5/2

Step-by-step explanation:

Those steps are in the picture I attached.

How can i solve this using a flow chart?

Answers

Answer:

AED=63°

SEE IMAGE FOR SOLUTION

Answer:

AED=63°

Step-by-step explanation:

shelly has a beaker with 5 2/3 fluid ounces of water. She pours 3 6/7 fluid ounces of water. What is the number of fluid ounces of water that remain in the beaker

Answers

Answer:

1 17/21

Step-by-step explanation:

the answer is 1 and 17 over 21

How can you use the prime factorization to find the other factor pairs of 36

Answers

Answer:

Step-by-step explanation:

We can write 36 as a product of prime factors: 36 = 2² × 3². The expression 2² × 3² is said to be the prime factorization of 36

35 divided by 27,090

Answers

Answer:

[tex] \frac{35}{27090} = 0.00129198966[/tex]

Answer:

QUESTION

35 divided by 27,090

ANSWER

[tex]0.00129198966[/tex]

if f(x)=4x-5 what is the value of f(2)

Answers

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

Value of Polynomial :

The value of a polynomial p(x) or f(x) at x = α is obtained by putting x = α in p(x) or f(x) and it is denoted by p(α) ...!

Required Solution :

Let f(x) = 4x - 5

⇒f(2) = 4(2) - 5

= 4 × 2 - 5

= 8 - 5

= 3

Hence, If f(x) = 4x-5 then the value of f(2) will be 3 ...!

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

Answer:

f(2) = 3

Step-by-step explanation:

f(x) = 4x-5f(2) = (4×2)-5f(2) = 8-5f(2) = 3

HOPE THIS HELPS YOU......

Which list shows three solutions to the inequality?
8x > 30
A 3,4,5
B 1, 7, 13
4, 6, 8
D 2, 12, 22

Answers

B, i think
Hope this help!

Somebody help me on A. And. B. Pleaseeee

Answers

Answer:

a. dbc = 66, ABC = 132

b. abd = 52, dbc= 52

Step-by-step explanation:

just remember that bisects means that the angles on either side of the middle line are equal. so for a, dbc = abd and ABC = 2x 66

for b, abd and dbc are equal, so both of them are just 104 divide by two

3rd question in less than 24 hours

Answers

Answer:

-1

Step-by-step explanation:

A polynomial doesn't include no negative exponents so our answer has to be negative in order to make our power positive.

This terms is in between a quadratic and constant term so the terms has to be raised to 1st power.

It has to be negative so the answer will be

-1

To convert 58.58 REPEATING to a fraction, we evaluate 58.58 REPEATING - 0.58 REPEATING . What is ?
A. 0
B. 58/99
C. 57
D. 58

Answers

Answer:

D. 58. 58.58 REPEATING - 0.58 REPEATING = 58. (not repeating) hope this helps

Step-by-step explanation:

- Zombie

What positive integer is closest to the value of 230−−−√ ?

Answers

Answer:

Answer is 15

Step-by-step explanation:

Sqrt of 230 is 15.165....

Simplify 6r · s · 4rt.

10r 2st
10rst
24r 2st

Answers

Answer:

24r 2st

Step-by-step explanation:

Answer: 24r 2st

HOPE THIS HELPS :>

Step-by-step explanation:

what is the formula of profit amount​

Answers

Answer:

This is an example but there you can also find the formula

Step-by-step explanation:

The formula to calculate profit is: Total Revenue - Total Expenses = Profit. Profit is determined by subtracting direct and indirect costs from all sales earned. ... For businesses, profit is often calculated by profit margin formula: (( Revenue - Cost of goods) / Revenue)*100.

alice was having a conversation

Answers

what's the question..???

PLEASE help answer these, thank you so much
I'll mark brainliest for best answers

Answers

Step-by-step explanation:

#1

6 × n + 15 = -42

6n + 15 = -42

6n = -42 - 15

6n = -57

n = -57/6

n = -19/3

#2

b + 3/2b + b + 45 + 2b - 5 + 90 = 540

b + 1.5b + b + 45 + 2b - 5 + 90 = 540

5.5b + 130 = 540

5.5b = 540 - 130

5.5b = 410

b = 410/5.5

b = 74.5

Angles are

b = 74.5

1.5(74.5) = 111.75

74.5 + 45 = 119.5

2(74.5) - 5 = 144

e ive been on math half of the day

Answers

Answer:

i believe its B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We would need to multiply 45 with 20 to get an answer of 1170, but since we also have a remainder, we add that remainder of 30 to 1170 to get 2000. Hope this helped.

Determine if 0.54856584337009... is rational or irrational and give a reason for
your answer.

Answers

With decimals, it comes down to:
Rational numbers will either repeat or stop.
Irrational numbers will not repeat and will not stop.

Your number is not stopping (because of the …) and there’s no clear repeating pattern show.

Since it’s not repeating and not stopping, it must be irrational.

The product of 3 and 4 2/5 is:

Answers

Answer:

[tex] \frac{66}{5} [/tex]

13.2

Step-by-step explanation:

Product: The number or answer you get when you multiply

1.

[tex] \frac{3}{1} \times 4 \frac{2}{5} \\ \frac{3}{1} \times \frac{22}{5} \\ \frac{66}{5} = 13.2[/tex]

2. Convert that mixed fraction to an improper fraction

3. Multiply numerator by numerator and denominator by denominator

4. Get the answer simplify for additional marks✔️✔️

Good luck!!!!

i need help on some math questions
1.the products of seven and the total or r and eight
2.three-sevenths of a number
3.the products of a number and ten more than the number
4.eighty decreased by the product of thirteen and a number
Can i see the work to please!

Answers

Answer:

1) 7x

2)3/7 x

3)x(10+x)

4)80-(13x)

Step-by-step explanation:

its pretty self explainable!

basically everytime it says a number replace that with x and make it into an equation!

Help me plssssssdsssss

Answers

Answer:

The graph is not a function

Step-by-step explanation:

Since the vertical line will pass through more than one point, the graph passes the vertical line test. Therefore, the relation Is Not a function

*PLEASE ANSWER!!! IT'S PRETTY DIFFICULT!!*
If you were to plot (10, -2) and (-3, 8), what two quadrants would you be in?

a.) Quadrant IV and Quadrant III

b.) Quadrant III and Quadrant II

c.) Quadrant IV and Quadrant II

Answers

The correct answer is c.

You can find this out by searching an axis with labeled quadrants on the internet.

I know these by memory though so my advice to you would be to study.

(10, -2) is in the IV quadrant.

(-3, 8) is in the II quadrant.

Option C is the correct answer.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates are (10, -2) and (-3, 8).

So,

(10, -2) is in the form of (x, -y).

This is in the IV quadrant

(-3, 8) is in the form of (-x, y).

This is in the II quadrant

Thus,

(10, -2) and (-3, 8)  are in Quadrant IV and Quadrant II.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

Canada has a population that is about 1/10 as large as the United States. If Canada's population is about 32 million, about how many people live in the United States? Explain the number of zeros in your the answer.​

Answers

Lets US population be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{x}{10}=32[/tex]

[tex]\\ \sf\longmapsto x=32(10)[/tex]

[tex]\\ \sf\longmapsto x=320million [/tex]

1 million has 6zeros 320million has 7zeros
Question:-

Canada has a population that is about 1/10 as large as the United States. If Canada's population is about 32 million, about how many people live in the United States? Explain the number of zeros in your the answer.

Solution:-

Given,

Population of Canada = 32 million (1/10 of that of the USA)

=> Let the population of the USA be 'x'.

Now,

→ x/10 + 32 (million)

→ x = 32 × 10

→ x = 320 million.

(The number of zeros in 1 million is 6, so the number of zeros in 320 million will be 7)

Answer:-

320000000 or 320 million.

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