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jek_recluse [69]
2 years ago
9

SV is an angle bisector of ∠RST. If m∠RSV = (3x + 5)° and m∠RST = (8x − 14)°, find x.

Mathematics
1 answer:
timama [110]2 years ago
4 0
First, let's define what an angle bisector is. Suppose you draw an angle labeled RST where the vertex is at point S, as shown in the attached picture. The angle bisector is a line segment that is drawn from the vertex S and extended outwards, such that it divides the angle into two equal parts. In this case, the angle bisector is line segment SV. The orange angle represents the total angle equal to (8x-14)°. The half of the angle, denoted as the red curve, represents (3x + 5)°. Th equation to be used is:

∠RST = 2×∠RSV
8x - 14 = 2(3x+5)
8x-14 = 6x + 10
8x - 6x = 10+14
2x = 24
x = 24/2
x = 12°

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Paula and Kawai shared $312 in the ratio of 6:7. How much money<br> did each person get?
Maslowich

Answer:

Paula get \$144 and Kawai get \$168.

Step-by-step explanation:

Given: Paula and Kawai shared \$312 in the ratio of 6:7.

To find: How much money  did each person get?

Solution:

We have,

Paula and Kawai shared \$312 in the ratio of 6:7.

So, let Paula get \$6x and Kawai get \$7x.

As per the question,

6x+7x=312

\implies13x=312

\implies x=\frac{312}{13} =24

Therefore, Paula get 6\times 24=\$144, and Kawai get 7\times 24=\$168.

Hence, Paula get \$144 and Kawai get \$168.

6 0
2 years ago
Andrea has a yard shaped like parallelogram ABCD. The garden area, parallelogram EFGB, has an area of 105 ft2004-05-02-04-00_fil
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The area of a parallelogram is simply calculated using the formula:

A = b * h

Where,

b = length of the base = 45 ft

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A = b* h

A = 45 ft * 21 ft

A = 945 ft^2

Now we don’t want to sod the Garden area for the most obvious reason. The garden has an Area of 105 ft^2, we subtract this to the total area giving us,

Area to sod = 945 ft^2 – 105ft^2

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2 years ago
Teo makes a necklace of x wooden beads at $0.50 each and 6 glass beads at $1.25 each. The average cost of the beads in the neckl
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Answer:

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Hope this helps :)

4 0
2 years ago
Maylin and Nina are making fruit baskets. They have 36 apples, 27 bananas, and 18 oranges. They want each basket to contain the
yuradex [85]

Answer:

Nina is right: 9 baskets

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4 0
2 years ago
what is a correct first step in solving the inequality –4(3 – 5x)≥ –6x 9? –12 – 20x ≤ –6x 9 –12 – 20x ≥ –6x 9 –12 20x ≤ –6x 9 –1
DIA [1.3K]
<span>The answer is -12 + 20x ≥ –6x 9. The inequality is –4(3 – 5x)≥ –6x 9. The first step is to multiply factors on the left side. The intermediary steps are: (-4)*(3) - (-4)*(5x) ≥ –6x 9. -12 - (-20x) ≥ –6x 9. So, the first step will be: -12 + 20x ≥ –6x 9.</span>
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2 years ago
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