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4 years ago

It is known that Ray AP bisects angle CAT. If m<CAT = 5x+17 and m<PAT = 3x-4, then determine the value of x.

Mathematics

1 answer:

Sonja [21]4 years ago

8 0

Answer:

x = 25

Step-by-step explanation:

It is given that, ray Ray AP bisects angle CAT. It means,

$\angle CAT=\angle CAP+\angle PAT$

Also, $\angle CAP = \angle PAT$

It gives, $\angle CAT=2\angle PAT$

ATQ,

$\angle CAT = 5x+17 \ \text{and}\ \text{PAT}=3x-4$

So,

$5x+17=2(3x-4)\\\\5x+17=6x-8$

Taking like terms together,

$5x-6x=-8-17\\\\-x=-25\\\\x=25$

So, the value of x is 25.

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3 years ago

In two or more complete sentences, describe how you would draw the graph of the solution set for the following inequality. -3m+1

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First find the value of m by solving the inequality.

Solving the inequality we get value of m: m>-4

Now, for drawing the graph, a dotted line will be on -4, as values greater than -4 are included in the graph. and all the portion on right side of -4 is included in the graph.

Step-by-step explanation:

We need to draw the graph of the solution set for the following inequality. $-3m+18 < 30$

First we will solve the inequality and find value of m

$-3m+18 < 30$

Adding -18 on both sides

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So, value of m is: m>-4

So. for drawing the graph, a dotted line will be on -4, as values greater than -4 are included in the graph. and all the portion on right side of -4 is included in the graph.

The graph is shown in figure attached.

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

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3 years ago

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Answer:

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Step-by-step explanation:

To find the answer we need to do a Rule of Three. The Rule of Three is a Mathematical Rule that will help us to solve problems based on proportions.

1. I know that a 685 adults were surveyed, so this is the 100%. 61% say they would erase all of their personal information online if they could, and we don't know the numbre of people in here.

2. So 685 adults _____ 100%

X adults _____ 61%

Here we have to put the same elements in the same columns. Students with studients and percentage with percentage.

3. Now I have to cross these details. I have to multiple 61*685. So:

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4. Then divide that result by 100.

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5. So 417 is the total number of adults that would .

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4 years ago

It is known that Ray AP bisects angle CAT. If m<CAT = 5x+17 and m<PAT = 3x-4, then determine the value of x.​

It is known that Ray AP bisects angle CAT. If m<CAT = 5x+17 and m<PAT = 3x-4, then determine the value of x.