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MArishka [77]
3 years ago
13

Find the value of the variable. Then find the angle measures of the polygon.

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
7 0
First set up the equation (sum of the angles is 180)

2x + 2(x-1) + (5x +2) = 180

distribute:
2x + 2x -2 + 5x +2 = 180

combine like terms:
9x = 180
solve for x:

x = 20

SO:

2x° = 2(20) = 40 degrees
2(x-1)° = 2(20) - 2 = 40 - 2 = 38 degrees
5x + 2°= 5(20) + 2 = 100 + 2=102 degrees

check: 40 + 38 + 102 = 180
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Name the angles that are complements to SWT
zlopas [31]
Two angles are said to be complementary, if the sum of the two angles is 90 degrees.

Given that the measure of angle SWT is 50 degrees, thus, the measure of the complementary angles will be 90 - 50 = 40 degrees.

From the diagram, the measure of angle USP is 40 degrees, hence it is a complement of angle SWT.

Recall that the angle on a straight line is equal to 180 degrees, thus the sum of the measures of angles USP, WST and TSV is 180 degrees.
i.e. mUSP + mWST + mTSV = 180 degrees
40 + 100 + mTSV = 180
mTSV = 180 - 140 = 40 degrees.
Hence angle TSV is complementary to angle SWT.

Therefore, the complementary angles to angle SWT are angle USP and angle TSV.
7 0
4 years ago
Read 2 more answers
Please help <br><br>must show work<br><br><br>there are 5 that I'm stuck on​
Cloud [144]

you cannot show too much "work"

basically, you remove what is common to all of the factors, and then put brackets, as it will be multiplied back in, remember that when you multiply exponents with the same base, its same as adding them, so subtract to remove...

you can seperate two of the variables , then factor, then subtract the last one from those two, because it cannot be factored out , as in part2 #2

7 0
3 years ago
Which ordered pair is a solution to the system of linear equations Y= -7x+2 and y=9x-1
evablogger [386]

\left\{\begin{array}{ccc}y=-7x+2\\y=9x-1\end{array}\right\Rightarrow 9x-1=-7x+2\\\\9x-1=-7x+2\ \ \ |+1\\9x=-7x+3\ \ \ |+7x\\16x=3\ \ \ \ |:16\\x=\dfrac{3}{16}\\\\\text{substitute the value of x to the second equation}\\\\y=9\cdot\dfrac{3}{16}-1\\\\y=\dfrac{27}{16}-\dfrac{16}{16}\\\\y=\dfrac{11}{16}\\\\\text{The solution is}\ \left(\dfrac{3}{16};\ \dfrac{11}{16}\right)

3 0
4 years ago
Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.
horrorfan [7]

Answer:

  • solutions: (2, 10), (4, 5)
  • non-solutions: all other points

Step-by-step explanation:

It can be useful to graph the inequalities related to Tyler's limits of money and weight.

  1x +3y ≤ 36 . . . . . . the limit on the cost of the items Tyler can afford

  1x +1.5y ≤ 20 . . . . . the limit on the weight of the items Tyler can carry

Then plotting the given points shows that only (2, 10) and (4, 5) are in the doubly-shaded area that is the solution space. The other points are not a solution.

6 0
3 years ago
2x-14=-3x+6&lt;br /&gt;<br>help with this equation???&lt;br /&gt;
Sphinxa [80]
2x-14=-3x+6
You need to combine like terms and get all the x's on one side and the numbers on the other
2x+3x-14=6
5x=6+14
5x=20
now divide to get x alone
x=4

Hope that helps
5 0
4 years ago
Read 2 more answers
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