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deff fn [24]
2 years ago
14

If ST bisects RSV, m RST =5x-3 and m VST=2x+15 then choose an equation that could be used to solve for x

Mathematics
1 answer:
Doss [256]2 years ago
6 0

Answer:

x = 6

Step-by-step explanation:

\because ST \: bisects\: \angle RSV\\\therefore m\angle RST = m\angle VST\\(by\: \angle \: bisector \: property) \\\therefore 5x - 3 = 2x + 15\\\therefore 5x - 2x = 15 +3\\\purple{\bold {\therefore 3x = 18}} \\\therefore x =\frac{18}{3}\\\huge \orange {\boxed {\therefore x = 6}}

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Can you help with this math question?<br><br> 3c - 3(6 - 2c) = 27
KonstantinChe [14]

Answer:

C = 5

Step-by-step explanation:

Distribute the 3

3c - 18 + 6c = 27

Adding like terms

9c - 18 = 27

Add 18 to both sides

9c = 45

Dividing both sides by 5

C = 5

8 0
3 years ago
Margaret wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 18 in. 12 in. 10 in.
user100 [1]

Answer:

No, she cannot completely cover the footrest.

Step-by-step explanation:

First of all, we need to find the total surface area of the prism to be covered using the cotton cloth

the total surface area of the prism is

A = 2wl + 2lh + 2hw,

l is the length of the prism = 18 in,

w= width of the prism = 12 in,

h is the height of the prism = 10 in

hence A = 2(12 \times 18 ) + 2(18 \times 10) + 2(10 \times 12)=1032in^{2}

We need to convert the area of the fabric to be in the same unit as that of the prism

Area of cotton fabric = 1 yd^{2}= 1296 in ^{2}

since the surface area of the foot rest is more than the area of fabric she has, she cannot completely cover the footrest

6 0
3 years ago
Read 2 more answers
The total simple interest on $1600 invested for five years is $224. What is the percentage rate per annum?
mash [69]

Answer:

The percentage rate per annum is 2.8%

Step-by-step explanation:

We need to multiply the principal by the time, then divide the interest by the product of P×T, so:

1,600 × 5 = 8,000

224 ÷ 8,000 = 0.028

Then we convert our final product to a percentage.

0.028 to a percent is 2.8%

6 0
2 years ago
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Need help with this geometry
Rasek [7]

Answer:

y = 2

Step-by-step explanation:

The mid segment HJ is half of the third side GK , that is

HJ = \frac{1}{2} GK , substitute values

2y = \frac{1}{2} (y + 6) ← multiply both sides by 2 to clear the fraction

4y = y + 6 ( subtract y from both sides )

3y = 6 ( divide both sides by 3 )

y = 2

3 0
2 years ago
Angelo has a credit score of 726. According to the following
Vaselesa [24]

Answer:

Good ( 660- 749)

Step-by-step explanation:

Because of this fact:

726 > 660 and 726 < 749

So his credit rating is considered as Good ( 660- 749)

Have a good day

8 0
3 years ago
Read 2 more answers
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