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melamori03 [73]
3 years ago
12

AB and CD are straight line segments.

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0

Answer:

<h3>i) Angle AOC is 95° </h3><h3>Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles. </h3>

<h3> ii) Angle BOC is 85° </h3><h3>Reason:- Angle AOC + Angle BOC - 180° (they lie in a straight line so they are a linear pair. Sum of the angles will be 180°) </h3><h3> Angle AOC is 95°, So:- </h3><h3> 95° + Angle BOC = 180° </h3><h3> Angle BOC= 180° - 95° </h3><h3> Angle BOC = 85° </h3><h3> </h3><h3>iii) Angle DOE is 17° </h3><h3>Reason:- Angle AOE+ Angle DOE+ Angle DOB = 180° (they lie in a straight line so they're a linear pair. Sum of the angles will be 180°) </h3><h3> So, </h3><h3> 68° + Angle DOE+ 95° = 180° </h3><h3> 163° + Angle DOE = 180° </h3><h3> Angle DOE= 180° - 163° </h3><h3> Angle DOE is 17°</h3>
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The length of a rectangle is five times its width.
Vera_Pavlovna [14]

Answer:

72

Step-by-step explanation:

l = 5w

A = l*w

180 = 5w *w

180 = 5w^2

Divide each side by 5

180/5 = 5w^2 /5

36 = w^2

Taking the square root of each side

sqrt(36) = sqrt(w)^2

6 =w

l = 5w = 5*6 = 30

The perimeter is

P = 2(l+w)

P = 2(6+30) = 2(36) = 72

4 0
3 years ago
One side of a square flower bed is 8 feet long. how many plants are needed if they are to be spaced 8 inches apart around the ou
Sloan [31]

The side is 8 feet = 8*12 inches = 96 inches

Plants are needed if they are to be spaced 8 inches apart around the outside of the bed

96/8 = 12 ... so we need 12 plants on each side, please note it is including the corners.

If we not incluse corner, the flowers will be 10 each side.

Means total flower : 10 * 4 (each side) + 4(corner)

The total needed is 44 plants. : Answer

Hope that will help :)

4 0
3 years ago
Which postulate proves the two
adoni [48]

Answer:

the answer is b and i need atleast twenty words so it is asa because the middle and side and the right angle

7 0
3 years ago
Jamal has $ 15.00 to spend at the concession stand. He buys nachos for $7.50, and he wants to purchase some Sour Straws for $1.5
soldier1979 [14.2K]

Answer: 5 sour straws

Step-by-step explanation: If he spends 7.50, then he still has 7.50 left. 7.50 / 5= 1.50

4 0
3 years ago
Read 2 more answers
1.3 lesson help please
Airida [17]

Answer:

1. 125

2. 25

3. 40

4. 39

First question:

(15-10)^2 + (15-5)^2

parentheses first to get 5^2 + (15-5)^2

exponents next to get 25 + (15-5)^2

parentheses again 25 + 10^2

exponents again 25 + 100 = 125

Second question:

simplify the exponents (3 *3) + (4 * 4) + (2 * 2) to get 9 + 16 + 4 = 29

Third question:

simplify in the parentheses 6 1/7 - 1/7 = 6

divide 60 by 6 to get 10

multiply 10 by 4 to get 40!

Fourth question:

simplify the fractions to get 1/3 + 8/3 = 3

multiply the 3 by 13 to get 39

7 0
2 years ago
Read 2 more answers
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