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makvit [3.9K]
2 years ago
13

First, and correct answer gets brainliest, also worth 50 points

Mathematics
2 answers:
pishuonlain [190]2 years ago
4 0

One angle be x

  • other is 2x-6

ATQ

\\ \sf\longmapsto x+2x-6=90

\\ \sf\longmapsto 3x-6=90

\\ \sf\longmapsto 3x=96

\\ \sf\longmapsto x=32

\\ \sf\longmapsto 2x-6=2(32)-6=58°

nexus9112 [7]2 years ago
4 0

Answer:

58°

Step-by-step explanation:

The measure if one 2 complementary angle is 6 less than the measure of the other => x + 2x - 6° = 90°

x + 2x - 6° = 90°

3x = 90° + 6°

3x = 96°

x = 96° : 3

x = 32°

Substitution :

2x - 6°

= 2 × 32° - 6°

= 64° - 6°

= 58°

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The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.
maks197457 [2]

Step-by-step explanation:

The first possibility

2(width) + 2(length) = perimeter

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The second possibility.

rondhesha chodado in The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.

So you have the perimeter, P, can be found by doing u+u+v+v.

Simplifying gives:

P=2u+2v.

You are given the width is (3x-3).  Choose this to be u or v but not both.

Perimeter is given a (10x+6).

Let's plug this in:

(10x+6)=2(3x-3)+2v

We are solving for v.

First step: Distribute where you can:

10x+6=6x-6+2v

Now we want to isolate v.

So we will need to subtract (6v-6) on both sides:

 (10x+6)=2v

- (6x -6)

----------------------

4x+12  =2v

The right hand side contains a factor of 2.

The left hand side does too since 4x+12 can be factored as 2(2x+6).

2(2x+6)=2v

This implies v is 2x+6.

Let's check our work.

We have two sides with measurement 2x+6:  (2x+6)+(2x+6)=4x+12

We have two sides with measurement 3x-3:   (3x-3)+(3x-3)=  6x-6

Let's add those sums to find the perimeter:                             10x+6

That is the intended 

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Answer:

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Step-by-step explanation:

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Right triangle ABC is similar to triangle XYZ. If the length of side AB is 20.8 units, the length of side BC is 36.4 units, and
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Answer:

XY is 4 units.              

Step-by-step explanation:

We are given the following in the question:

Right triangle ABC is similar to triangle XYZ.

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YZ = 7 units

We have to find the length of side XY.

Since the given triangles are similar, they have the following property:

The ratio of corresponding sides of similar triangles are equal.

We can write,

\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}

Putting the given values, we have,

\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}\\\\\frac{20.8}{XY}=\frac{36.4}{7}\\\\XY = \frac{20.8\times 7}{36.4} =4 \text{ units}

Thus, the length of XY is 4 units.

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