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
Neporo4naja [7]
3 years ago
13

In triangle bcd if bc =bd angle b = 13x-35 angle c =5x-19 and angled d = 2x+14 find x and the measure of each angle

Mathematics
1 answer:
MakcuM [25]3 years ago
3 0

Answer:

<b = 108 degrees

<c = 36 degrees

<d = 36 degrees

Step-by-step explanation:

The sum of angle in a triangle is 180 degrees

Hence <b + <c + <d = 180

13x-35 + 5x - 19 + 2x + 14 = 180

13x+5x+2x-35-19+14 = 180

20x-40 = 180

20x = 180 + 40

20 x = 220

x = 220/20

x = 11

Get <b

<b = 13x-35

<b = 13(11) - 35

<b = 143-35

<b = 108 degrees

Get <c

c =5x-19

<c = 5(11)-19

<c = 55-19

<c = 36degrees

Get <d

<d = 2x+14

<d = 2(11) + 14

<d = 22+14

<d = 36 degrees

You might be interested in
What is the missing length??
amid [387]

Answer

The missing length is 10

Step-by-step explanation:

Represent the missing length with x

The sides of the given shape are directly proportional.

Mathematically:

(15 + x) to (12 + 8) and x to 7

Represent as a ratio:

(15 + x) : (12 + 8) = x : 8

15 + x : 20= x : 8

Convert to fraction

\frac{15 + x}{20} = \frac{x}{8}

Cross Multiply:

(15 + x)*8 = 20 * x

120 + 8x = 20x

Collect Like Terms

20x - 8x = 120

12x = 120

Solve for x

x = \frac{120}{10}

x = 10

<em>The length of the missing side is 10</em>

4 0
3 years ago
Find the balance at the end of 4 years if $10,000 is deposited at a rate of 1.5% simple interest.
Minchanka [31]

Answer:

Principal amount (P) = $10,000

Rate (R) = 1.5%

Time (T) = 4 years

Simple interest, I = P X R X T / 100

= 10000 X 1.5 X 4 /100

= 60000 / 100

= $600

Therefore, Balance = P + I

= 10000 + 600

= $10600

3 0
3 years ago
What is the answer to the equation 5x=2x+20?
Agata [3.3K]

I don't know.  But I know how to find it.  Let's work it out together:

                                              <u>5x  =  2x + 20</u>

Subtract  2x  from each side:    3x  =  20

Divide each side by  3 :              <em>x  =  20/3</em>  or    ( 6 and 2/3 ).


3 0
3 years ago
Read 2 more answers
During a blizzard, Daniel lost power for 40 hours. His neighbor lost power for 2 days. Whose power was out longer?
andriy [413]

Answer:

his neighbors

Step-by-step explanation:

there are 48 hours in 2 days, which means that his neighbors power was out longer.

8 0
2 years ago
X
galina1969 [7]

Answer:

2 angles that meet at an endpoint

8 0
3 years ago
Other questions:
  • 40 points!!!!!!!!!!!!!! *If one of the legs of a right triangle is 4 in and the hypotenuse is 8 in, find the length of the other
    14·1 answer
  • In the figure on the right, STWC space is a square centered at the origin with side length 2a What are the coordinates of the ve
    14·1 answer
  • A salesperson receives a 3% commission on sales. The salesperson receives $180 in commission. What is the amount of sales?
    15·2 answers
  • 56 is 80% of blank. What is the blank supposed to be?
    13·1 answer
  • In algebraic expression what is y multiplied by 6
    10·1 answer
  • What is 88×13 because I don't know if I have the correct answer can you plz help me
    9·1 answer
  • Plsss help if you can! I will mark you brainliest, give thanks, and 5 stars, and friend invite if you are correct!!
    15·2 answers
  • Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
    13·1 answer
  • Please help jjjsjssioaozkzksnsnsns
    6·1 answer
  • The diameter of a circle measures 24 ft. What is the circumference of the circle?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!