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
tatiyna
2 years ago
14

Find the value of x, then find each angle measure.

Mathematics
1 answer:
sergiy2304 [10]2 years ago
7 0

Answer:

x = 9

m<J = 57

m<K = 44

m<L = 79

Step-by-step explanation:

Theorem:

The sum of the measures of the angles of a triangle is 180°.

We add the measures of the angles, and set the sum equal to 180. Then we solve for x, and use the value of x to find the measure of each angle.

7x - 6 + 3x + 17 + 9x - 2 = 180

Combine like terms on the left side: 7x + 3x + 9x = 19x and -6 + 17 - 2 = 9

19x + 9 = 180

Subtract 9 from both sides.

19x = 171

Divide both sides by 19.

x = 9

Now we find the measure of each angle.

m<J = 7x - 6 = 7(9) - 6 = 63 - 6 = 57

m<K = 2x + 17 = 3(9) + 17 = 27 + 17 = 44

m<L = 9x - 2 = 9(9) - 2 = 81 - 2 = 79

You might be interested in
What is 3.56 x 10^-5 in standard form?
Olin [163]
0.00356 is the standard form
4 0
3 years ago
Simplify <br><br><br>10 + 9t + 2 + 9t
lara31 [8.8K]

Answer:

6(3t+2)

Step-by-step explanation:

6 0
2 years ago
From families with four children a family is chosen at random. Let X be the number of boys in the family. Calculate and sketch t
alisha [4.7K]

Solution :

Given :

X = the number of boys in a family of four children

Families having four children are chosen randomly.

The gender distribution in the four child family are equally probable.

Thus,

 X                P(X)                                          CDF

0             ^4C_0 (1/2)^{4}        = 1/16                     \frac{1}{16}

1               ^4C_1 (1/2)^{4}       = 1/4                       \frac{5}{16}

2                ^4C_2 (1/2)^{4}      = 3/8                      \frac{11}{16}

3                ^4C_3 (1/2)^{4}      = 1/4                       \frac{15}{16}

4                  ^4C_4 (1/2)^{4}    = 1/16                      1

4 0
3 years ago
Simon is playing a card game he needs to collect three cards each card should be a factor of 20 which set of cards should Simon
Anuta_ua [19.1K]

Answer:

4 5 and 20

Step-by-step explanation:

6 0
3 years ago
Customers at Beans Coffee Shop have entered their name in a drawing for one of 4 gift cards. The gift cards each have a value of
Dimas [21]

Answer:

36,060,024 ways

Step-by-step explanation:

To choose the winner in this case, the order is very important because it determines who is chosen first  out of the seventy-nine customers whose names were entered for the draw.

The above supports the reason Permutation will be used instead of Combination.

The total number of ways is given by:

⁷⁹P₄ = 79!/(79-4)!

       =  79!/75!

       = [79 x 78 x 77 x 76 x75!]/75!

       = 79 x 78 x 77 x 76

       =   36,060,024 ways

This implies that there are  36,060,024 ways the Bean Coffee Shop could choose the winners.

8 0
3 years ago
Other questions:
  • Which of the following coordinates of point C would make triangle ABC similar to triangle LMP ? Look at pic attached :) thank yo
    10·1 answer
  • Alicia buys a 5- pounds bag of rocks for a fish tank. She uses 1 1/8 pounds for a small fish bowl. How much is left?
    5·1 answer
  • Find the rate or percent for each of the following items round your answers to the nearest 0.1%
    7·1 answer
  • A coffee pot holds 5 1/2 quartz of coffee. How much is his in cups?
    9·1 answer
  • Can u help me solve​
    13·1 answer
  • A factory manufactures a metal piece in 32 minutes. New technology allowed the factory to cut that time by 8%. Then another impr
    15·1 answer
  • Which statements are true about the ordered pair (1,2) and the system of equations? y=-2x+4 7x-2y=3 select all that apply. A.Whe
    8·1 answer
  • Solve for t(advanced rational equations)
    10·2 answers
  • Give the most appropriate reason for using three significant figures in reporting results of typical engineering calculations.a.
    14·1 answer
  • HELPPP ASAP
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!