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Ierofanga [76]
3 years ago
8

2/3 x - 4 equal negative 2​

Mathematics
1 answer:
Fiesta28 [93]3 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

Given

\frac{2}{3} x - 4 = - 2

Multiply through by 3 to clear the fraction

2x - 12 = - 6 ( add 12 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

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3 years ago
Find the perimeter of each of the two non congruent triangles where a=15,b=20 and a=29
Alborosie

Answer:

b. about 63.9 units and 41.0 units

Step-by-step explanation:

In question ∠a= 29° and Side of a= 15 and b= 20

Using sine rule of congruence of triangle.

⇒ \frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}

⇒ \frac{15}{Sin 29} = \frac{20}{sin B}

Using value of sin 29°

⇒ \frac{15}{0.49} = \frac{20}{sin B}

Cross multiplying both side.

⇒ Sin B= \frac{20\times 0.49}{15} = 0.65

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Now, we have the degree for ∠B= 41°.

Next, lets find the ∠C

∵ we know the sum total of angle of triangle is 180°

∴∠A+∠B+∠C= 180°

⇒ 29+41+B= 180

subtracting both side by 70°

∴∠C= 110°

Now, again using the sine rule to find the side of c.

\frac{b}{SinB} = \frac{c}{SinC}

⇒\frac{20}{sin41} = \frac{C}{sin110}

Using the value of sine and cross multiplying both side.

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3 years ago
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However, the figures are not similar. You cannot scale the rectangle to have it line up with the square. The proportions of the sides do not lead to the same ratio

100/4 = 25

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so 100/4 = 2/4 is not a true equation. This numerically proves the figures are not similar.

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