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3 years ago

Find the value of x in the triangle shown below

Mathematics

2 answers:

konstantin123 [22]3 years ago

8 0

Answer:

x = 55

Step-by-step explanation:

Since 2 sides of the triangle are congruent, both 5, then the triangle is isosceles and the 2 base angles are congruent, both x , then

x + x + 70 = 180 ← sum of 3 angles = 180°

2x + 70 = 180 ( subtract 70 from both sides )

2x = 110 ( divide both sides by 2 )

x = 55

alexandr1967 [171]3 years ago

8 0

Answer:

55.52

Step-by-step explanation:

By sine rule:

$\frac{ \sin x \degree}{5} = \frac{ \sin 70 \degree}{5.7} \\ \\ \sin x \degree = \frac{ 5 \: \sin 70 \degree}{5.7} \\ \\ \sin x \degree = \frac{ 5 \: \sin 70 \degree}{5.7} \\ \\ x \degree = {sin}^{ - 1} ( \frac{ 5 \: \sin 70 \degree}{5.7}) \\ \\ x \degree = 55.516753493 \degree\\ \\ x = 55.52$

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Simplify the expression -4 1/6-(6 1/3)<br> Explain your solution using the additive property.

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Answer:

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Explanation: -4 1/6 - (6 1/3)

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3 years ago

What two numbers multiply to -112 and add up to -54

SVETLANKA909090 [29]

Xy = -112
x + y = -54

$xy = -112$
$\frac{xy}{x} = \frac{-112}{x}$
$y = \frac{-112}{x}$

$x + y = -54$
$x + \frac{-112}{x} = -54$
$\frac{x^{2}}{x} + \frac{-112}{x} = -54$
$\frac{x^{2} - 112}{x} = -54$
$x^{2} - 112 = -54x$
$x^{2} + 54x - 112 = 0$
$x^{2} + 56x - 2x - 112 = 0$
$x(x) + x(56) - 2(x) - 2(56) = 0$
$x(x + 56) - 2(x + 56) = 0$
$(x - 2)(x + 56) = 0$
$x - 2 = 0$ $or$ $x + 56 = 0$
$x = 2$ $or$ $x = -56$

  x + y = -54
  2 + y = -54
- 2   - 2
y = -56
  (x, y) = (2, -56)

  or

x + y = -54
  -56 + y = -54
+ 56 + 56
y = 2
  (x, y) = (-56, 2)

The two numbers that multiply to -12 and add up to -54 are -56 and 2.

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