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3 years ago

use the distributive property to write the next step in simplifying the equation ? x(2+7)=36

Mathematics

2 answers:

Pavlova-9 [17]3 years ago

6 0

Answer: x=4 *The answer should be the positive sign.*

Step-by-step explanation:

distributive property: a(b+c)=ab+ac

division property of equality is dividing both sides of an equation by the same non-zero number does not change the equation.

a÷c=b÷c for c≠0

divide by 9 both sides of an equation.

x(2+7)/9=36/9

simplify.

36/9=4

9*4=36

36/4=9

4*9=36

x=4

Hope this helps!

Thanks!

Have a great day!

satela [25.4K]3 years ago

5 0

It would be 2x+7x=36.

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4 years ago

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4 years ago

The floor of the entryway to an office building will be triangular. Two angles of the triangle will measure 40º, and the side be

ruslelena [56]

Answer:

The drawing in the attached figure

Step-by-step explanation:

we know that

An isosceles triangle, has two equal sides and two equal interior angles

In this problem, the floor of the entryway to an office building is in the shape of an isosceles triangle

step 1

Find the measure of the vertex angle

Remember that

The sum of the interior angles in any triangle must be equal to 180 degrees

Let

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$x=180^o-2(40^o)=100^o$

step 2

Find the length of the congruent sides of triangle

Applying the law of sines

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substitute

$\frac{8}{Sin(100^o)}=\frac{b}{Sin(40^o)}$

solve for b

$b=\frac{8}{Sin(100^o)}(Sin(40^o))$

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step 2

Make a scale drawing of the entryway

The scale drawing is 1 cm : 2 cm

That means

1 cm in the drawing represent 2 cm in the actual

1 cm in the drawing represent 0.02 m in the actual

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3 years ago

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jonny [76]

Answer:

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Step-by-step explanation:

A construction company is starting to build a new house. They need to put tape around the site to begin. The new home site is 20 meters wide by 40 meter long rectangle. The company already has 100 meters of tape. How much more tape does the company need to tape the site?

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3 years ago

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irinina [24]

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3 years ago