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2 years ago

Please give the measure of NPQ and explain how you got it

Mathematics

1 answer:

anygoal [31]2 years ago

4 0

Answer:

Step-by-step explanation:

NQP is a triangle. It has 3 angles given.

We know

<em>sum of 3 angles in a triangle is 180 degrees</em>

<em />

We are Given:

∠N = 2x

∠Q = 2x + 2

∠P = 134

THus, we can write and solve for x first:

∠N + ∠Q + ∠P = 180

2x + 2x + 2 + 134 = 180

4x + 136 = 180

4x = 180 - 136

4x = 44

x = 44/4

x = 11

Now, measure of ∠NQP is 2x + 2, so substituting the value of "x", we have:

2x + 2 = 2(11) + 2 = 22 + 2 = 24 degrees

So,

∠NQP = 24°

Correct answer is C

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2 years ago

Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from

Lapatulllka [165]

<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = $\frac{108}{\sqrt{149} } units$ </h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

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Let the perpendicular distance from B to AC be = x

According To Problem

$\frac{1}{2} \times x \times \sqrt{149} = 54$

⇔ $x =\frac{108}{\sqrt{149} }$ units

Therefore the perpendicular distance from B to AC is = $\frac{108}{\sqrt{149} } units$

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