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Kazeer [188]
3 years ago
5

If m RST=65, m QST=2x, and m QSR= 3x-10, what is the value of x?

Mathematics
2 answers:
Ber [7]3 years ago
8 0
Upon drawing the triangles given, it may be observed that they share one common side, ST. Hence, m QSR is the sum of m RST and m QST. Mathematically,
                         3x - 10 = 65 + 2x
The value of x from the equation generated above is 75. Thus, the answer to the question above is 75. 
Shalnov [3]3 years ago
5 0
First, draw a quadrilateral figure QRST. Then, label angles RST, QST, and QSR. 

Given:

mRST = 65
mQST = 2x
mQSR = 3x - 10

From the figure, angle RST is the sum of angles QST and QSR. Therefore:

mRST = mQST + mQSR 

Substituting the values, the equation becomes:

65 = 2x + (3x -10)

Solve for x:

x = 15
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8_murik_8 [283]

Answer:

see attached

Step-by-step explanation:

As you know, dividing by a fraction is the same as multiplying by that fraction's inverse (or reciprocal). Any whole number is equivalent to the fraction that is that whole number divided by 1. (For example, 4 = 4/1.)

4 0
4 years ago
Solve T=L(2+RS) for R
True [87]

Answer:

Step-by-step explanation:

I would begin by distributing the L. It will be easier in the end to do it this way. There are a couple of ways you can do this, but distribution is the easiest. After you distribute the L you have

T = 2L + LRS

Next subtract the 2L to get

T - 2L = LRS. Lastly, to isolate the R, divide away the LS to get

\frac{T}{LS}-\frac{2L}{LS} = R  In that second term, the L's cancel each other out, leaving us with

\frac{T}{LS}-\frac{2}{S} = R

4 0
3 years ago
What are two fractions equivalent to 5/12
saul85 [17]

Answer:

10/24 and 15/36, more answers possible

Step-by-step explanation:

if you multiply both the numerator and denominator by the same number, it will always be equivalent to 5/12, as you can simplify it back to that fraction.

5/12, multiply both by two, and you have 10/24

5/12, multiply both by three, and you have 15/36

5 0
3 years ago
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, 3)A(−8,3
Andru [333]

9514 1404 393

Answer:

  15 squre units

Step-by-step explanation:

The area of the rectangle is the product of its length and width. The length is AB = 5 units; the width is BC = 3 units. Then the area is ...

  A = LW

  A = (5 units)(3 units) = 15 units²

The area of rectangle ABCD is 15 square units.

6 0
3 years ago
According to the rule of 72, if Gina invests $100, $500, and $1000 into three separate accounts with the same interest rate, whi
Makovka662 [10]
Let's say the APR is 5%. That means you get 5% of your balance back every year. The $100 balance would get $5 back, the $500 balance would get $25 back, and the $1000 balance would get $50 back. Therefore, all of the balances would take the same amount of time to double, and it would take all of them 20 years.

$5*20 years=$100
$25*20 years=$500
$50*20 years=$1000
7 0
4 years ago
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