1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
drek231 [11]
3 years ago
12

20 POINTS! Please help, best answer will recessive brainliest answer points as well as 5 stars and a thank you. :)

Mathematics
1 answer:
Artyom0805 [142]3 years ago
7 0
<h3>Question: </h3><h3>In the diagram below of Δ ABC, side BC is extended to point D, m∠A = x , m∠B = 2x+15, and m∠ACD = 5x+5 , what is m∠B ?</h3>

Answer: 3) m∠B = 25º

Step-by-step explanation:

Since m∠C is supplementary to m∠ACD

m∠C = 180º - m∠ACD

m∠C = 180º -(5·x + 5)

m∠C = 180º -5 -5·x

m∠C = 175º - 5·x

The sum of the angles of a triangle = 180º

m∠A + m∠B + m∠C = 180º

x + 2·x + 15º + 175º - 5·x = 180º

3·x - 5·x +190º = 180º

-2·x = 180º - 190º

-2·x = -10º

x = -10º/-2 = 5º

Now we can substitute this value of x in m∠B

m∠B = 2x+15

m∠B = 2·x + 15º = 2·5º + 15º = 10º + 15º = 25º

Answer: 3) m∠B = 25º

<h2><em>Spymore</em></h2>
You might be interested in
Can anyone help me with this problem?
Nadusha1986 [10]
What problem I cannot see The question
6 0
3 years ago
Answer quickly and explain and show work
Nezavi [6.7K]

Answer:

Susie is correct the function is x times itself = y.

6 0
3 years ago
Read 2 more answers
Martha earned $180 during the summer doing chores. She bought 3 books worth $14 each using her chore money. How much money was l
Viktor [21]

Answer:

$138

Step-by-step explanation:

We can first turn the words into a mathematical equation by substituting words with the information we have:

Total earning - ( Price of three books)

$180 - (Price of one book x 3)

$180 - ($14 x 3)

Finally, after we have created the mathematical equation, we solve it!

$180 - ($14 x 3)

$180 - $42

$138

6 0
3 years ago
Find the area each sector. Do Not round. Part 1. NO LINKS!!<br><br>​
sladkih [1.3K]

Answer:

\textsf{Area of a sector (angle in degrees)}=\dfrac{\theta}{360 \textdegree}\pi r^2

\textsf{Area of a sector (angle in radians)}=\dfrac12r^2\theta

17)  Given:

  • \theta = 240°
  • r = 16 ft

\textsf{Area of a sector}=\dfrac{240}{360}\pi \cdot 16^2=\dfrac{512}{3}\pi \textsf{ ft}^2

19)  Given:

  • \theta=\dfrac{3 \pi}{2}
  • r = 14 cm

\textsf{Area of a sector}=\dfrac12\cdot14^2 \cdot \dfrac{3\pi}{2}=147 \pi \textsf{ cm}^2

21)  Given:

  • \theta=\dfrac{ \pi}{2}
  • r = 10 mi

\textsf{Area of a sector}=\dfrac12\cdot10^2 \cdot \dfrac{\pi}{2}=25 \pi \textsf{ mi}^2

23)  Given:

  • \theta = 60°
  • r = 7 km

\textsf{Area of a sector}=\dfrac{60}{360}\pi \cdot 7^2=\dfrac{49}{6}\pi \textsf{ km}^2

3 0
2 years ago
A cake that costs $32 is on sale for 15% off and there are no taxes. Explain why the expression
Darya [45]

Answer:

$27.2

Step-by-step explanation:

A cake that costs $32 is on sale for 15% off and there are no taxes. Explain why the expression (0.85).32 represents the final price of the cake in dollars.

This is explained in the calculation below

= A cake that costs $32 is on sale for 15% off

The amount off the cake is calculated as

= 15% of $32

= 15/100 × 32

= $4.8

The amount he is paying for the cake =>$32 - $4.8

= $27.2

The above expression is obtained as

(0.85).32

= (100% - 15%) × 32

=( 1 - 0.15) × 32

= 0.85 × 32

= $27.2

The final price of the cake = $27.2

7 0
3 years ago
Other questions:
  • (6.5/2) to the second power. Simplify
    12·1 answer
  • What decimal best represents an elevation of 2,000.288 feet below sea level
    9·1 answer
  • Which answer describes the restrictions for the variables x+1/x-4?
    6·2 answers
  • Please help me out............................
    9·1 answer
  • Which of the following are properties of right triangles?
    7·1 answer
  • Angelica has been depositing $280 each month into a savings account with an APR of 2.76% for the last 3 years. If she continues
    7·1 answer
  • 2xy and (3x+2y)<br>multiply​
    11·1 answer
  • What is 11% of R250?<br><br>​
    5·2 answers
  • Solve the equation 6x+7x−3x=13+7. Be sure to check your proposed solution by substituting it for the variable in the original eq
    11·1 answer
  • If f(x) = 3x + 10x and g(x) = 2x - 4, find (f+ g)(x).
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!