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Umnica [9.8K]
3 years ago
10

How do i find angle x

Mathematics
2 answers:
Viktor [21]3 years ago
6 0
Since we have a transverse line that cuts through the straight line parallel to the height, then we can see that the angles are divided into two sections.

We also have vertically opposite angles, since the angle sum of a straight line is 180°. We have perpendicular lines since we are given a 90° angle. Thus, we know the missing angle is 45°.

Thus, 45 + x = 180
x = 135°
Anastaziya [24]3 years ago
3 0

Answer:

The value of angle x is 135°.

Step-by-step explanation:

In the given figure, two straight lines l and m are intersecting each other at point O.

When two straight lines intersect each other the vertically opposite angles are always equal.

Lines n is perpendicular to line l.

x = 45° + 90° = 135°

The value of angle x is 135°.

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In △PKQ, PK = KQ = 12, m∠P = 35º. Find PQ.
Neporo4naja [7]

The length of PQ is 19.66 units

Step-by-step explanation:

The given is:

1. PK = KQ = 12

2. m∠P = 35º

We need to find the length pf PQ

∵ PK = KQ

∴ m∠P = m∠Q

∵ m∠P = 35°

∴ m∠Q = 35°

The sum of measures of the angles of a triangle is 180°

∴ m∠P + m∠Q + m∠K = 180°

∴ 35 + 35 + m∠K = 180

∴ 70 + m∠K = 180

- Subtract 70 from both sides

∴ m∠K = 110°

Let us use cosine rule to find the length of PQ

∵ PQ = \sqrt{(KP)^{2}+(KQ)^{2}-2(KP)(KQ)cos(K)}

∵ PK = 12 , KQ = 12 , m∠K = 110°

- Substitute these values in the rule

∴ PQ = \sqrt{(12)^{2}+(12)^{2}-2(12)(12)cos(110)}

∴ PQ = 19.66

The length of PQ is 19.66 units

Learn more:

You can learn more about triangle in brainly.com/question/12985572

#LearnwithBrainly

4 0
3 years ago
If 4x-3<32, Which of the following are solutions: 26/3, 9.1, 20, or -6?
ValentinkaMS [17]
The answer is :
4x - 3 < 32 \\ 4 x < 32 + 3 \\ 4 x < 35 \\ x <  \frac{35}{4}  \\
x < 8.75
and the only number among the choices that is less than 8.75 is -6
hope it's true
6 0
3 years ago
How do i solve this radical expression? It has to do with factoring i know that.
MAVERICK [17]
Firstly it's not a radical expression.

You can factorize the numerator x²+12x+36 = (x+6)²

Factorize the denominator 12x+72 = 12(x+6)


=(x+6)² / 12(x+6) , simplify. Answer = (x+6)/12
5 0
3 years ago
What is the range of f(x) = (three-fourths) Superscript x – 4?
murzikaleks [220]
{y | y > –4}



Left-brace y vertical line y greater-than three-fourths right-brace



{y | y < –4}



Left-brace y vertical line y less-than three-fourths right-brace
8 0
2 years ago
Find the percent change.<br> Original amount: 16<br> New amount: 11
marishachu [46]
The exact answer is 31.25%, or about 31%

8 0
3 years ago
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