An angle is produced at the <u>point</u> where two or more lines<em> meet</em>. Thus the <u>value</u> of LP required in the question is approximately 14.
Two<em> lines</em> are said to be <em>perpendicular</em> when a <u>measure</u> of the angle <u>between</u> them is a <em>right angle</em>. While <u>parallel</u> lines are lines that do not meet even when <u>extended</u> to <em>infinity</em>.
From the question, let the <u>length</u> of LP be represented by x.
Thus, from the given question, it can be <u>deduced </u>that;
LM ≅ PN = 20
KP = KN - PN
= 30 - 20
KP = 10
LP = x
Also,
<MLP is a right angle, so that;
< KLP = < KLM - <PLM
= 126 - 90
<KLP =
So that applying the Pythagoras theorem to triangle KLP, we have;
Tan θ =
Tan 36 =
x =
=
x = 13.765
Therefore the <em>side</em> LP ≅ 14.
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Answer:
x = 1 and y = 4
Step-by-step explanation:
m² = 7x + 7; m³= 4y and m∧4 = 112
√(m∧4) = √112
∴ m² = √112
Hence, 7x + 7 = √112
(7x + 7)² = 112
49x² + 14x + 49 = 112
49x² + 14x - 63 = 0
7x² + 2x - 9 = 0
7x² + 9x - 7x - 9 = 0
x(7x + 9) - 1(7x + 9) = 0
(x - 1)(7x + 9) = 0
x - 1 = 0
∴ x = 1
When x = 1
m²= 7 + 7 = 14
m³= 4y and m∧4 = 112
Also m∧4/m²= m² = 112/14 = 8
Hence, m° = 2; m = 2 X 2 = 4; m² = 2 x 2 x 2 = 8; m³= 2 x 2 x2 x 2 = 16
m³ = 16 = 4y
∴ y = 16/4 = 4
Answer:
It is true. They are the sides of a right angled triangle.
Step-by-step explanation:
According to pythagoras theorem,
h² = p² + b²
where h is the largest side.
So,
13² = 12² + 5²
169 = 144 + 25
169 = 169
This is true.