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Vsevolod [243]
3 years ago
13

You are choosing between two health clubs

Mathematics
1 answer:
Flauer [41]3 years ago
3 0

Answer:

Wait what's the question

Step-by-step explanation:

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The measure of RST can be represented by the expression (6x + 12)°.
Valentin [98]

Answer:

The measure of angle RST is 120\°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m -----> equation A

m -----> equation B

equate equation A and equation B

(6x+12)\°=78\°+(3x-12)\°

6x-3x=78\°-24\°

3x=54\°

x=18\°

The measure of angle RST is equal to

m

8 0
3 years ago
Read 2 more answers
Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. 6 sqrt 2
Gemiola [76]
Isosceles right triangles have two equal sides (a and b) that are not the hypotenuse (c). And when two sides are equal, so are their opposite angles. There are only 180° degrees in any triangles, thus the right angle = 90°, so 90 left for the two equal, means that 2x=90,
x = 45°.

There are several ways to go about solving a triangle like this. The best and easiest is simply to memorize that the hypotenuse is exactly root2 times the other sides. Or, each isosceles side is the hypotenuse (c) ÷ root2
a = b = c \div  \sqrt{2} \\ c  = a\sqrt{2}  \\ c = 6 \sqrt{2} \times \sqrt{2}  = 6 \times 2 = 12
Another way to do it is the longer proof of Pythagorean Theorem:
{c}^{2}  =  {a}^{2}  +  {b}^{2}... \:  \:  c =   \sqrt{({a}^{2}  +  {b}^{2})}  \\
c= \sqrt{({6 \sqrt{2}) }^{2} + ({6 \sqrt{2})}^{2}}  \\ =  \sqrt{(2 \times{(6 \sqrt{2} )}^{2} )}  =  \sqrt{2(36 \times 2)}  \\ c =  \sqrt{144}  = 12

7 0
3 years ago
What happens to the volume of a sphere when its diameter is doubled?
pochemuha
To determine the effect of changing the diameter of a sphere to its volume, we would need to know the formula for the volume of a sphere which is V = 4πr³/3 where r is half of the diameter. As you can see, there is a direct relationship.

r1 = d1/2
r2 = d2/2 = 2d1/2 = d1

V2/V1 = (4πd1³/3) / (4π(d1/2)³/3)
V2/V1 = 8

Therefore, the volume of the sphere would be 8 times the original volume.
5 0
3 years ago
Read 2 more answers
How many yards are in 60 ft​
mamaluj [8]

Answer:20 yards

Step-by-step explanation:

3 0
3 years ago
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What is the place value of 6 in 685
statuscvo [17]

Answer:

600 because it is in the hundreds place

Step-by-step explanation:

4 0
3 years ago
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