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Dima020 [189]
3 years ago
15

Please help!In circle Y, what is m?82°100°106°118°

Mathematics
1 answer:
ss7ja [257]3 years ago
5 0

Answer:

<em>The correct option is:  82°</em>

Step-by-step explanation:

In the given diagram, two chords RT and SU are intersecting.

According to the <u>Angle of intersecting chord theorem</u>, "<em>If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle</em>."

That means here......

94\°=\frac{1}{2}(m\widehat{RS}+m\widehat{TU})\\ \\ 94\°=\frac{1}{2}(106\°+m\widehat{TU})\\ \\ 2(94\°)=106\°+m\widehat{TU}\\ \\ 188\°=106\°+m\widehat{TU}\\ \\ m\widehat{TU}=188\°-106\°=82\°

So, the measure of arc TU is 82°

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Factor -28x +20x show work
Shalnov [3]
Let's simplify step-by-step.<span><span>−<span>28x</span></span>+<span>20<span>x

</span></span></span>ombine Like Terms:<span>=<span><span>−<span>28x</span></span>+<span>20x</span></span></span><span>=<span>(<span><span>−<span>28x</span></span>+<span>20x</span></span>)</span></span><span>=<span>−<span>8<span>x

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8 0
3 years ago
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 60 p
boyakko [2]

Answer:

  • large: 40 lbs
  • small: 20 lbs

Step-by-step explanation:

A system of equations can be written for the weights of the boxes based on the relationships given in the problem statement. One equation will be for the total weight of 1 large and 1 small box; the other will be for the total weight of 70 large and 60 small boxes.

Let L and S represent the weights of Large and Small boxes, respectively. The system of equations is ...

  L + S = 60 . . . . . . combined weight is 60 lbs

  70L +60S = 4000 . . . . weight of boxes in the truck

__

We can solve this by substituting for s in the second equation.

  70L +60(60 -L) = 4000

  10L = 400 . . . . . . . . . subtract 3600, simplify

  L = 40

  S = 60 -L = 20

A large box weighs 40 pounds; a small box weighs 20 pounds.

7 0
3 years ago
Solve for m<br> 2/5 = m/70 =<br> show work and order of operations
Black_prince [1.1K]

Answer:

m = 28

Step-by-step explanation:

70 × 2 = 5m

140 = 5m

28 = m

4 0
4 years ago
I need help with this math equation?
Licemer1 [7]

Step-by-step explanation:

the answer to your question is 12m

4 0
3 years ago
Solve rw + 10m = x for r​
natita [175]

Answer:

r = (x - 10m)/w

Step-by-step explanation:

Isolate the variable, r. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 10m from both sides of the equation:

rw + 10m (-10m) = x (-10m)

rw = x - 10m

Next, divide w from both sides:

(rw)/w = (x - 10m)/w

r = (x - 10m)/w

r = (x - 10m)/w is your answer.

~

8 0
3 years ago
Read 2 more answers
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