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borishaifa [10]
3 years ago
9

Suppose that angle COP and angle TOD are vertical angles, the measure of angle COP is 11x-17 and The measure of angle TOD is 9x+

11.
Part A: construct angle COP and angle TOD [Hint: angle COD is an adjacent angle to angle COP and angle POT is an adjacent angle to angle TOD.]

Part B: determine the measure of angle COD and the measure of angle POT.

Mathematics
1 answer:
crimeas [40]3 years ago
4 0

The measure of <COD  and <POT are 43 and 43degrees respectively

The point where two lines meet or intersect is known as an angle:

Is <COP and angle TOD are vertical angles, this means that they are equal i.e.

  • <COP = <TOD

Given that:

<COP = 11x - 17

<TOD = 9x + 11

Equate both expressions

11x - 17 = 9x + 11

11x - 9x = 11 + 17

2x = 28

x = 28/2

x = 14

Get <COP

<COP = 11x - 17

<COP = 11(14) - 17

<COP = 154-17

<COP = 137 degrees

Since <COP = <TOD, hence <TOD = 137 degrees

Calculate <COD:

<COD + <TOD = 180

<COD + 137 = 180

<COD = 180 - 137

<COD  = 43 degrees

Also <POT = <COD = 43degrees(vertically opposite angles)

Hence the measure of <COD  and <POT are 43 and 43degrees respectively

Learn more here: brainly.com/question/17247176

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Step-by-step explanation:

Remark

If two opposite arcs are given by being opposite vertically opposite angles, then the value of both the vertically opposite angles are equal to

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Arc2 = 100

Solution

The red dot angle = 1/2 (60 + 100)

The red dot angle = 1/2(160)

The red dot angle = 80

Because the red dot angle and <3 are on the same line with the same common point, they are supplementary.

<3 and red dot = 180

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3 years ago
Challenge Problem/Group Activity
8_murik_8 [283]

The different ways that they can vote is given as 16 different ways.

<h3>How to calculate the ways that they can vote</h3>

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2 years ago
James reads that 1 out of 6 eggs contains salmonella bacteria. So he never uses more than 5 eggs in cooking. If eggs do or don't
Dmitrij [34]

Answer:

B. binomial with n = 5 and p = 1/6

Step-by-step explanation:

Given that James reads that 1 out of 6 eggs contains salmonella bacteria.

So he never uses more than 5 eggs in cooking.

If eggs do or don't contain salmonella independently of each other, then

probability for any one egg to contain salmonella bacteria is the constant 1/6.

Also there are only two outcomes, either bacteria present or not.

Hence the  number of contaminated eggs when James uses 5 chosen at random has the distribution is Binomial

Here n = no of trials = no of eggs he uses = 5

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4 years ago
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AveGali [126]

Step 1: Simplify both sides of the equation.

15.5=26−7p

15.5=−7p+26

Step 2: Flip the equation.

−7p+26=15.5

Step 3: Subtract 26 from both sides.

−7p+26=15.5

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Step 4: Divide both sides by -7.

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Answer:

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3 years ago
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