The measures of the angles RST are given by the expressions in the table.

Answers

Answer 1

Answer: To find the value of x, and then find the angles of triangle RST, we first need to set up an equation equal to 180.

First, the equation = 180:

We have 31, x+4, and 3x+9.
What we can do is make an equation in which adds the angles to equal 180.
As so:

31 + x + 4 + 3x + 9 = 180

Combine like terms:

31 + x + 4 + 3x + 9 = 180
44 + x + 3x = 180
44 + 4x = 180

Now, we need to simplify this further by subtracting 44 from each side:

44 - 44 + 4x = 180 - 44
4x = 136

Next, to simplify this equation even further, we need to divide each side by 4 (Resulting in the x being alone on one side of the equation.)

4x / 4 = 136 / 4
x = 136 / 4
x = 34

Awesome! We now know that x = 34!
However, we are not completely finished with this problem. Let's continue.

To find the angles of S and T, we need to substitute 34 in for x:

S:
(x + 4)
(34 + 4)
38 degrees

T:
(3x + 9)
(3(34) + 9)
(102 + 9)
111 degrees

Amazing! We now can conclude all of the angles' measurements:
R = 31
S = 38
T = 111
Also, x = 34.

Hope I could help you out! If my math is wrong or it isn't the answer you were looking for, please let me know!
Have a good one.

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What is the ratio of x to y?

Answers

2/3 = x/(3x + y)

2*(3x + y) = 3*x

2*3x + 2*y = 3x

6x + 2y = 3x

6x - 3x = - 2y

3x = -2y

x/y = -2/3

x : y = -2/3.

3. Jose has $400 in his bank account at the beginning of the year. Each month, he deposits $45 into his account. He does not withdrawany money from his account, and the account pays no interest. Which of these equations could Jose use to find the total amount (T) in
his bank account at the end of m months?
OT = 45m
OT = 445m
OT = 400m + 45
T = 45m + 400

Answers

T = 45m + 400

I hope this is correct it seems like the most logical explanation.

Happy Valentine’s day! I hope I helped and have a nice day! C: <3

Four students spent $12 on school lunch. At this rate find the amount 10 students would spend on the same school lunch.

Answers

30.004 =124=122=612+12+6 = 30

#help #brainnotworking

Answers

#brainstartsworking #nothelping #srynot

4 quarts = how many cups

Answers

The answer is 16 cups, because of this graph. Look at the graph

1 pint=2 cups
1 quart=4 cups/2 pints
1 gallon=16 cups/8 pints/4 quarts

A quart equals 4 cups, and the answer you want is how many cups are in 4 quarts, so you do 4 times 4, because there are 4 cups in a quart, and you want to find the cups of 4 quarts, so you do 4 times 4, which equals 16 cups. So your answer is 16 cups.
Answer=16 cups

PLZ VOTE AS BRAINLIEST ANSWER!!! PLZ

4 quarts is equal to 16 cups

Order the fractions from least to greatest, 1/6 2/5 3/5 3/7 PLEASE HELP

Answers

The higher the denominator, the smaller the parts. For example, the following five fractions are in order from least to greatest:
$(1)/(5) (1)/(4) (1)/(3) (1)/(2) (1)/(1)$

However, when ordering $(1)/(6) and (3)/(7)$ , you may notice that the second of those two has a higher numerator. In this particular case, that means that $(1)/(6)$ is the smallest of the fractions given.

Since there are only two different denominators left now, it is easiest to make the demoninators the same.
2 X 7 = 14
5 X 7 = 35
3 X 7 = 21

3 X 5 = 15
7 X 5 = 35

The remaining fractions are $(14)/(35) (21)/(35) (15)/(35)$
Those three fractions are actually $(2)/(5) (3)/(5) (3)/(7)$

Therefore, in order of smallest to largest, the fractions are $(1)/(6) (2)/(5) (3)/(7) (3)/(5)$