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
fomenos
3 years ago
11

Find the measure of ∠C if

Mathematics
2 answers:
V125BC [204]3 years ago
7 0
(32x+20) + (72x+20) + (52x+40) + (32x+10)=180 \\ 32x+72x+52x+32x +20+20+40+10 =180 \\ 188x+90=180 \\ -90  \\ 188x=90 \\ /188 \\ x=0.478

then 52(0.478)+40 \\ 24.856+40=64.856

∠C = 64.856
vodka [1.7K]3 years ago
5 0

Answer:

The measure of angle C is 114.672°

Step-by-step explanation:

Given: Measure of angles as

 ∠A = 32x + 20

∠B = 72x + 20

∠C = 52x + 40

∠D = 32x + 10

we have to find the measure of angle C.

Consider the given angles.

Since, there are four angles, so the figure must be a quadrilateral.

Also, we know,

Sum of measure of angles of a quadrilateral is 360°

Thus,  ∠A  + ∠B + ∠C +  ∠D = 360°

Substitute  the values , we get,

32x + 20 + 72x + 20 + 52x + 40 + 32x + 10 =360

188x + 90 = 360  

188x = 270

x=\frac{270}{188}=1.436

Thus, Measure of angle C is   52(1.436) + 40 =114.672

Thus, The measure of angle C is 114.672°

You might be interested in
What numbers go in the sqaures?
givi [52]

On the first two pairs you need to write 3 and 4, and 6 and 2.

On the second page we have:

1) 4

2) 2 and 7

3) 1

4) 1 and 3

5) 3.

<h3>What numbers go in the squares?</h3>

a) Here we just need to use scientific notation.

For the first case, the numbers that go in the exponent boxes are the same ones that go in the example, which are 4 in the first one and 2 on the second one.

Then, if we want the difference to be 29,400, then we can use 3 on the first box and 6 on the second. OR, because this is an absolute value, we can just invert those.

This is:

6 and 2 on the first two squares, and 3 and 4 on the second two squares.

b) Here we want to make perfect squares.

For example, on the first case we have:

x*2*2

We need to find the value of x such that this is a perfect square. Notice that we can rewrite this as:

x*2*2 = x*4

Then it only is a perfect square if x = 4.

For the second case:

14*x*y

This is only a perfect square if x*y = 14

Then we can use x = 2 and y = 7.

With similar reasoning, on the next box we have:

2*8*x

2*8 = 16, is already a perfect square, so x = 1.

The next one is:

x*3*y

Here we can define x = 3 and y = 1, so we get a perfect square.

Finally:

3*x

Here the only possible value of x is 3.

If you want to learn more about perfect squares:

brainly.com/question/1538726

#SPJ1

5 0
2 years ago
LAM 1 Mod 6 Question 4b-s2.
irakobra [83]

Answer:

there is one line of symmetry if you look closely at the shape

8 0
2 years ago
Stephen says that the numbers 38 and 40 are relatively prime. Explain why he is incorrect in making this statement. (make a good
Paha777 [63]

Answer:

He is incorrect in this statement because 38 and 40 both have factors, other than 1 x itself. Prime numbers are numbers the only have 1 factor pair, and that is 1 x itself. Factors are the numbers you multiply to get the end result, and an example is 10x4=40. The factors of 40 are 8x5, 4x10, 2x20, and of course, 1x40. The factors of 38 are 2x19, and 1x38.

8 0
3 years ago
Simplify: 10x-6(7+x)
Basile [38]

Answer:

4 x − 4 2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
2 less than one-third of the points the panthers scored in algebraic expression
o-na [289]
2-1/3(p) is the answer
7 0
3 years ago
Other questions:
  • if the balance at the end of eight years on an investment of $630 that has been invested at a rate of 9% is $1083.60, how much w
    6·1 answer
  • PLEASE HELP!!!!!!!!!!<br> what’s the RANGE of <br> y = x^2 -3x -4
    9·1 answer
  • Number 2 and maybe the middle paragraph if you can
    10·2 answers
  • You save $5,000.00 and invest 60% of it in stocks while leaving the rest in a savings account earning a 4.9% APR. The stock incr
    13·1 answer
  • calculate correct to three significant figures length of Arc with subtend an angle of 70 degrees at the centre of circle of radi
    7·1 answer
  • Find the area.<br> Will Give brainliest.
    15·2 answers
  • Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
    14·1 answer
  • There are 30 students in a class that took a test. The average grade of 10 students was 80. The other 20 students average was 89
    5·1 answer
  • Hey Yall, I have a pretty easy question for you guys ^◇^ and you'll also get some points if you get it right ; )
    14·1 answer
  • There are 120 apples, 1/16 have sprinkles. How many have sprinkles?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!