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2 years ago

The Pythagorean Theorem can be used to find the missing side length of a triangle when two other side lengths are known.

Mathematics

1 answer:

lubasha [3.4K]2 years ago

5 0

Answer:

The value of b is 21

Step-by-step explanation:

29=√20^2+b^2

or, 29=√400+b^2

or, 841=400+b^2

or, 841-400=b^2

or, √441=b

b=21

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What is the measure of c? a = 15 j = 24 k = 32

inessss [21]

Answer:

The answer to your question is c = 20

Step-by-step explanation:

Data

a = 15

j = 24

k = 32

c = ?

Process

Use proportions to solve this problem. Compare the small triangle and the large triangle.

1.- Proportion of the small triangle

c/15

2.- Proportion of the large triangle

k/j

3.- Equal but terms and solve for c

c/15 = k/j

-Substitution

c / 15 = 32/24

c = 32(15)/24

-Result

c = 20

4 0

3 years ago

What was the total amount of water in the tank before it was drained

OlgaM077 [116]

Answer:

c is the correct option

Step-by-step explanation:

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3 years ago

Read 2 more answers

A scientist had 3/4 liter of solution. HE used 1/6 of the solution for an experiment..How much solution did the scientist use fo

Leviafan [203]

Answer:

$\frac{1}{8}\ liter$

Step-by-step explanation:

we know that

To find out how much solution the scientist used for the experiment multiply 3/4 by 1/6

$(\frac{3}{4})(\frac{1}{6})=\frac{3}{24}\ liter$

simplify

$\frac{3}{24}=\frac{1}{8}\ liter$

8 0

3 years ago

Which statements are true about ΔJKL and ΔLMN? Select all that apply.

svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure $50^o,60^o,70^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle KLJ=m\angle MLN$ ----> by vertical angles

substitute the given values

$(6x-2)^o=(5x+10)^o$

solve for x

$6x-5x=10+2\\x=12$

step 2

Find the measure of the interior angles of triangle JKL

we have

$m\angle KLJ=(6(12)-2)=70^o$

$m\angle KJL=(5(12))=60^o$

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

$m\angle JKL=180^o-130^o=50^o$

therefore

Triangle JKL has angles that measure $50^o,60^o,70^o$

step 3

Find the measure of the interior angles of triangle LMN

we have

$m\angle MLN=(5(12)+10)=70^o$

$m\angle LMN=(6(12)-7)=65^o$

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

$m\angle LNM=180^o-135^o=45^o$

Triangle LMN has angles that measure $45^o,65^o,70^o$

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

Verify each statement

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure $50^o,60^o,70^o$

The statement is true (see the explanation)

Part d) ΔLMN has angles that measure $50^o,60^o,70^o$

The statement is false

Because, Triangle LMN has angles that measure $45^o,65^o,70^o$

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

6 0

3 years ago

Dallas was told to study 4 hours a week by his mother. Dallas studied

vfiekz [6]

Answer:

16 hours

Step-by-step explanation:

14 hours + 1 hour + 1 hour = 16 hours

3 0

2 years ago