3 years ago

In a quiz just some middle school work anyone who can help me plsss

Mathematics

1 answer:

Alexxx [7]3 years ago

3 0

わからない、ごめんなさい。ポイントが欲しかったです笑

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Solve 3(a + 3) – 6 = 21. Write a reason for each step.

kakasveta [241]

Answer:

Step-by-step explanation:

3(a+3)-6=21

<=>3a+9-6=21

<=>3a+3=21

<=>3a=18

<=>a=6

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3 years ago

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Find the value of x.

olchik [2.2K]

Answer:

x = 4

Step-by-step explanation:

In $\triangle BAC, \: DE || AC$

Hence, by basic proportionality theorem:

$\frac{x + 2}{x} = \frac{3}{2} \\ \\ \therefore \: 2(x + 2) = 3x \\ \therefore \:2x + 4 = 3x \\ \therefore \:4 = 3x - 2x \\ \therefore \:4 = x \\ \huge \red { \boxed{\therefore \:x = 4}}$

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3 years ago

The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi

Rom4ik [11]

Answer:

Step-by-step explanation:

<u>Equations</u>

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

$\displaystyle A=\frac{bh}{2}$

$\displaystyle A=\frac{(h+9)h}{2}$

And its value is 180:

$\displaystyle \frac{(h+9)h}{2}=180$

Multiplying by 2:

$(h+9)h=360$

Operating:

$h^2+9h-360=0$

Factoring:

$(h-15)(h+24)=0$

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

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It is 9 millimeters wide

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BARSIC [14]

Answer:

Step-by-step explanation:

Angle sum in a trianle=180

Angle a=180-50-35=95

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3 years ago

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