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3 years ago

What conditions make a pair of triangles congruent

Mathematics

1 answer:

Artemon [7]3 years ago

5 0

Two corresponding sides and two corresponding angles are congruent.

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The figures are similar. Find the missing length.

saw5 [17]

Step-by-step explanation:

<h2>Answer:-</h2><h3>Given ,</h3>

The figure is Similar.

Observation:-

Similar figures have similar sides. If we see carefully in smaller triangle, 3 has been added to each side and they are similar. We need to find y.

We have :-

5+3=8 as similar sides.

So, applying same algorithm,

$y + 3 = 5$

$y = 5 - 3$

$\boxed{ \tt{y = 2 \ cm}}$

is the answer.

Hope it helps :)

4 0

3 years ago

Does anyone know about this?:)

lina2011 [118]

Answer:

1. 148

2. 17

Step-by-step explanation:

1. m<FEC + m<CED = m<FED

32 + m<CED = 180

m<CED = 180 - 32

m<CED = 148

2. m<CEA + m<AED = m<CED

(6x - 20) + (3x + 18) = 151

9x - 2 = 151

9x = 153

x = 17

4 0

3 years ago

Read 2 more answers

El cociente de una división es nueve y el residuo es 20. Si el divisor se disminuye en tres, entonces el cociente aumenta en tre

ludmilkaskok [199]

Sorry i dont speak spanish.

6 0

3 years ago

A map of a highway has a scale of 2 inches equals 33 miles. The length of the highway on the map is 6 inches. There are 11 rest

vfiekz [6]

Answer:

The answer is "0.975"

Step-by-step explanation:

Please find the complete question in the attched file.

Find the remaining distance inside the original map

$\to \frac{9}{6}=1.5 \ in$

Dividing the value by 6 because there are 7 rest stop:

$\to \frac{2 \ inches}{39 \ inches} =\frac{1.5 \ inches}{x \ miles}\\\\\to x=39 \times \frac{1.5}{2}\\\\\to x=29.25 \ miles$

Finding the diatance of the rest stop in the new map

Using proportion:

$\to \frac{1 \ inches}{30 \ miles} =\frac{x \ inches}{ 29.25 \ miles}\\\\\to x= \frac{29.25}{30}\\\\\to x=0.975 \ in$

7 0

3 years ago

Finance - Sheryl and Carol work at the same company and make the same salary of $64,000 per year. Carol deposits 8% of their sal

MrMuchimi

Answer:

$1792

Step-by-step explanation:

The problem statement tells you that the 8% of her salary that Carol puts in her 401(k) plan is not subject to income tax. Therefore, she is taxed on .08·64000 = 5120 less income than is Sheryl, so saves

0.35·$5120 = $1792

in income taxes over what Sheryl pays.

7 0

3 years ago