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Y_Kistochka [10]
2 years ago
6

Find the value of a.

Mathematics
1 answer:
Nezavi [6.7K]2 years ago
7 0

The value of a is (c) 86

<h3>How to solve for a?</h3>

The given parameter is:

Angle C = 86

By vertical angle theorem, we have:

Angle A = Angle C = 86

This implies that:

Angle A = 86

The arc A subtends angle A

This means that:

Arc A = 86

Hence, the value of a is (c) 86

Read more about angles at:

brainly.com/question/24839702

#SPJ1

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A plan of a garden is shown below.
siniylev [52]

The length and width of the conservatory are both 4.5 meters

<h3>How to determine the length and the width?</h3>

From the figure, we have the following highlights:

  • Length = 3 units
  • Width = 3 units

A unit = 1.5 meters

So, we have:

Width = Length = 3 * 1.5 meters

Width = Length = 4.5 meters

Hence, the length and width of the conservatory are both 4.5 meters

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3 0
2 years ago
A bag has 4 green marbles, 3 red marbles, and 3 yellow marbles. What is the probability that you pick
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|\Omega|=10\cdot9=90\\ |A|=3\cdot3=9\\\\ P(A)=\dfrac{9}{90}=\dfrac{1}{10}=10\%

6 0
3 years ago
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Anika is 7 years older than Kit. If Kit is k years old, how old is Anika?
zaharov [31]

Answer:

k+7

Step-by-step explanation:

because k is the age of kit so Anika is 7 years older, so u have to add

sorry if I'm wrong

7 0
3 years ago
A boiler room has the shape of a rectangular prism. The area of the floor of the room is 112 square feet. The length of the room
Naddik [55]

Answer:

Length = 16 feet.

Width = 7 feet

Height = 8 feet

Volume = 896 cubic feet.

Step-by-step explanation:

There is a rectangular prism boiler room. 112 square feet is the floor area of the room.

Let the length of the room is L feet and width is W feet.

So, LW = 112 ...... (1)

Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get  

(2 + 2W)W = 112

⇒ 2w + 2w² = 112

⇒ W² + W - 56 = 0

⇒ (W +8)(W - 7) = 0

⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}

Hence, from equation (2) we get L = 2W + 2 = 16 feet.

Now, 1 foot more than the width is the height H.

Hence, H = 7 + 1 = 8 feet.

Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)

5 0
3 years ago
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