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
vfiekz [6]
3 years ago
9

Find the measure of ∠C if ∠A = 5 2 x + 30 ∠B = 7 2 x + 40 ∠C = 9 2 x + 10 ∠D = 5 2 x + 20 A) 70° B) 80° C) 90° D) 100°

Mathematics
2 answers:
Molodets [167]3 years ago
7 0

Answer: greater than2

Step-by-step explanation:

Sholpan [36]3 years ago
5 0

Answer:

D) 100°

Step-by-step explanation:

From the question;

∠A = 5 2 x + 30

∠B = 7 2 x + 40

∠C = 9 2 x + 10

∠D = 5 2 x + 20

To solve this question, we first  need to find the value of x and then insert it back in angle c.

The sum of angle in a 4 sided polygon is 360°

∠A + ∠B+ ∠C+  ∠D = 360°

5 2 x + 30  + 7 2 x + 40  +  9 2 x + 10 + 5 2 x + 20  = 360

We can re-arrange the equation

52 x + 72 x + 92 x + 52 x  +  30 + 40 + 10 + 20 = 360

On the left hand-side of the equation, add all the x variables  together and then add all the constants together.

268 x + 100 = 360

subtract 100 from both-side of the equation

268 x + 100 - 100 = 360 - 100

268 x  =  260

Divide both-side of the equation by 268

268x /268  = 260/268

x = 0.97

∠A = 5 2 x + 30  = 52(0.97) + 30 = 50.44 + 30 =80.44≈ 80

∠B = 7 2 x + 40 = 72(0.97) + 40 =69.84 + 40 =109.84≈ 110

∠C = 9 2 x + 10  = 92(0.97) + 10 = 89.24 + 10 =99.24≈ 100

∠D = 5 2 x + 20 = 52(0.97) + 20 = 50.44 + 20 =70.44≈ 70

<u>To check</u>

∠A + ∠B+ ∠C+  ∠D = 360°

80°+ 110° + 100°+70° = 360°

Therefore ∠C =100°

You might be interested in
Find the 7th term of the geometric sequence -5, 15, 45, 135, 405,...
katovenus [111]

Answer:

1,215

Step-by-step explanation:

Because if you think of it it multiplies by 3x so 3x5=? 15! 15x3=? 45! 45x3=? 405! 405x=3? 1,215! 1,215x3=? 3,645! anyways, I can go on and on I hope this answer was right!

7 0
3 years ago
Discuss how to convert 15 in. to yd. (need ko po nganon)
Aleksandr [31]

Answer:

To convert 15 inches to yards you need to divide 15 by 36 to get 41.67 yards tep-by-step explanation:

6 0
2 years ago
Find the 5th term in the geometric sequence, given the first term of 5 and common ratio of -3
Archy [21]

Answer:

5-3-3-3-3-3= -10

7 0
3 years ago
Plz help me, I have others I need help with​
lisov135 [29]

Step-by-step explanation:

That function is a line that goes through the origin (0,0).

You only need one more point to be able to draw it.

Take x=4,5 the corresponding value of y is exactly what you want to know, the number of miles the lava moved after 4,5 hours.

So y = 6 * 4,5 = 27

Your second point is (4,5 , 27).

Now you can draw your line.

6 0
3 years ago
I'm so confused can someone help me
jenyasd209 [6]
3/2(x - 10 ) = 1/2 x + 5
expand by using distributive property
3/2 x - 15 = 1/2 x + 5
subtract (1/2 x ) on both sides
x - 15 = 5
add 15 on both sides
x = 20

answer
C. x = 20
7 0
3 years ago
Read 2 more answers
Other questions:
  • Y=0.5x find the slope and the y-intercept
    5·1 answer
  • What is the reciprocal of -5.2/2.5 ? <br><br> need an answer fast please
    10·1 answer
  • PLEASE HELP ME 30POINTS +BRAINLY
    5·1 answer
  • Calculate the area of this triangle 18cm 11cm 14cm
    15·2 answers
  • Prime factorization of 125
    14·1 answer
  • Step by step how to do 4 divided by 2/3.
    11·2 answers
  • What is the rate of change for the linear relationship modeled in the table? (4 points)
    12·1 answer
  • Help ASAP Brainliest!
    5·2 answers
  • 73 divided by 8 what is the remainer
    10·2 answers
  • Translate the following to and expression 5 times the difference of a number and 12
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!