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3 years ago

What is the measure of angle x? Enter your answer in the box.

Mathematics

2 answers:

ANEK [815]3 years ago

8 0

Answer:

x = 48°

Step-by-step explanation:

As we can see:

42° + 90° + x = 180°

x = 90° - 42°

x = 48°

The straight line is 180 degrees. So we just need to put the sum equal to that, and solve the equation

Cloud [144]3 years ago

7 0

Answer:

the measure of angle x is 48

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3 years ago

In △ABC, ∠ABC = 60○

Temka [501]

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Thus the value of PB is 8.0 units.

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Types of triangles include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the internal angles of any triangle is $180^{o}$ .

In the given question, point P is such that <APB = <APC = <BPC = $120^{o}$ . Also, line PB bisects <ABC into two equal measures. Thus;

<ABP = $30^{o}$

Thus,

<ABP + <APB + <BAP = $180^{o}$

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<BAP = $180^{o}$ - 150

<BAP = $30^{o}$

Apply the Sine rule to determine the value of PB, such that;

$\frac{AP}{Sin B}$ = $\frac{BP}{Sin30}$

$\frac{8}{Sin30}$ = $\frac{BP}{Sin 30}$

BP = $\frac{8*Sin30}{Sin 30}$

= $\frac{4}{0.5}$

BP = 8.0

Therefore, the value of BP = 8 units.

For more clarifications on applications of the Sine rule, visit: brainly.com/question/15018190

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2 years ago

Whats the answer to this numeric algebraic expression

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Step-by-step explanation:

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Vesnalui [34]

2 Answers: Choice B and Choice C

The rate of change is 2.

The rate of change is constant.

======================================================

Explanation:

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The point (1.5, 1) is on the line.

So is the point (3,4) for similar reasoning.

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m = (y2-y1)/(x2-x1)

m = (4-1)/(3-1.5)

m = 3/(1.5)

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2 years ago