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3 years ago

Find x step by step

Mathematics

2 answers:

11111nata11111 [884]3 years ago

4 0

Answer:

$\frac{4 + (x + 1)}{x + 1} = \frac{16}{12} \\ \\ \frac{5 + x}{x + 1} = \frac{16}{12} \\ \\ 12(5 + x) = 16(x + 1) \\ 60 + 12x = 16x + 16 \\ 4x = 44 \\ x = 11$

blagie [28]3 years ago

4 0

Answer:

x = 11 cm

Step-by-step explanation:

Segments DE and BC are parallel (that's what the arrows tell you), so there are two similar triangles formed.

$\triangle{ADE} \sim \triangle{ABC}$

Corresponding sides are in proportion, so

$\frac{AD}{AB}=\frac{12}{16}$

The length of AB is (x + 1) + 4 = x + 5, and 12/16 simplifies to 3/4, so

$\frac{x+1}{x+5}=\frac{3}{4}$

"Cross multiply" to get

$4(x+1)=3(x+5)\\4x+4=3x+15\\4x=3x+11\\x=11$

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Here is an addition sentence.

kiruha [24]

Answer: B. $3+(1+11)=15$

Step-by-step explanation:

1. By definition, the associative property of addition is:

$(a+b)+c=a+(b+c)$

2. Therefore, if you have the following expression:

$(3+1)+11=15$

You apply the Asociative property of addition by regrouping the numbers as following:

$3+(1+11)=15$

3. Then, you can conclude that the correct option is B.

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3 years ago

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3 years ago

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Fofino [41]

Answer:

Step-by-step explanation:

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3 years ago

A regular octagon has a radius of 6 ft and a side length of

Svetlanka [38]

Answer:

<h2>Area of the regular octagon is approximately 102ft²</h2>

Step-by-step explanation:

Given the radius and length of a side of regular octagon as shown;

radius = 6ft and length of side = 4.6ft

Area of a regular octagon is expressed as $A = 2(1+\sqrt{2} )a^{2}$ where a is the length of one side. Given a = 4.6ft

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3 years ago

An architect drew the blueprint for a new office building. He used a scale in which 1 inch represents 7.5 feet. The floor of an

VMariaS [17]

We know that
scale factor=1 in/7.5 ft
scale factor=measurements on the blueprint/measurements <span> in the actual
</span>measurements on the blueprint=[measurements in the actual*scale factor]
so

for 18 ft
measurements on the blueprint=[18 ft*(1 in/7.5 ft)-----> 2.4 in

for 16 ft
measurements on the blueprint=[16 ft*(1 in/7.5 ft)-----> 2.1 in

the dimensions on the blueprint are
2.4 in x 2.1 in

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3 years ago

Find x step by step ​

Find x step by step