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stira [4]
3 years ago
6

AB and CD are straight line segments.

Mathematics
1 answer:
frutty [35]3 years ago
5 0

Answer:

<h2>i) Angle AOC is 95° </h2>

Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles.

<h2>ii) Angle BOC is 85°</h2>

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°)

Angle AOC is 95°, So:-

95° + Angle BOC = 180°

Angle BOC= 180° - 95°

<h3><u>Angle BOC = 85°</u></h3>

<u></u>

<h2>iii) Angle DOE is 17°</h2>

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°)

So,

68° + Angle DOE+ 95° = 180°

163° + Angle DOE = 180°

Angle DOE= 180° - 163°

<h3><u>Angle DOE is 17°</u></h3>
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Which of the following is a solution of x2 + 4x + 10?
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Alfredo bought a fishing pole for 60% off it’s original price of $97. If the tax was 4% ( of the sale price), how much did Alfre
maxonik [38]

Answer:

40.4

Step-by-step explanation:

Well...you see, 60% of $97 is equal to 58.2. you can get this by multiplying 97 by 0.60.

so subtract 97 by 58.2 and you will get 38.8, now you will add the tax which is and extra add-on to the prices full value

and it's a 4% tax so you will add for percent to 38.8,

basically multiply 38.8 times 0.04 and you will get 1.6 which you will have to add the your amount to get 40.4.

5 0
3 years ago
Solve for x:<br> -3(x-2)^2+17=0 <br> round your answer to the nearest hundredth
kicyunya [14]

Answer:

-3(x-2)×2+17=0

  1. -3x+6×2+17=0
  2. -3x+12+17=0
  3. -3x+29=0
  4. -3x=0-29=-29
  5. -3x=-29
  6. 29÷3=9.700 to the nearest hundredth
8 0
3 years ago
A triangular prism is 17 yards long and has a triangular face with a base of 12 yards and a height of 8 yards. The other two sid
Lisa [10]

Answer:

640 yard²

Step-by-step explanation:

From the question,

The surface are of a triangular prism is given as

A = bh+2ls+lb.................. Equation 1

Where A = Surface area of the triangular prism, b = base of of the triangular face, h = height of the triangular face, l = length of the triangular prism, s =  length of one of the other sides of the triangle

Given: l = 17 yards, b = 12 yards, h = 8 yards, s = 10 yards.

Substitute these values into equation 1

A = [(12×8)+(2×17×10)+(17×12)]

A = 96+340+204

A = 640 Yard²

6 0
3 years ago
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