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3 years ago

What is the volume of the right prism?

Mathematics

2 answers:

vladimir2022 [97]3 years ago

8 0

The correct answer Is c

Sonja [21]3 years ago

3 0

The answer to your question is A. 1251cm

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Kayla wants to find the width, AB, of a river. She walks along the edge of the river 65 ft and marks point C. Then she walks 25

AlladinOne [14]

Answer:

Part A) The triangles ABC and EDC are similar by AAA, because the three internal angles are equal in both triangles

Part B) The width of the river is about $39\ ft$

Step-by-step explanation:

we know that

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

Part A) we know that

In this problem , triangles ABC and CDE are similar by AAA, because its corresponding angles are congruent

m<DCE=m<ACB -----> by vertical angles

m<EDC=m<ABC -----> is a right angle

m<DEC=m<CAB -----> the sum of the internal angles must be equal to 180 degrees

Part B) we know that

The triangles ABC and EDC are similar -------> see Part A

therefore

$\frac{BC}{DC}=\frac{AB}{DE}$

substitute the values and solve for AB

$\frac{65}{25}=\frac{AB}{15}$

$AB=15*(\frac{65}{25})=39\ ft$

8 0

3 years ago

What is the value of x?

Sauron [17]

Answer:

85°

Step-by-step explanation:

The triangle pictured is an isosceles triangle because side KJ = LJ.

this means that ∠JKL = ∠JLK = x°

Also recall that all interior angles of a triangle add up to 180°

Hence,

180° = ∠JKL + ∠JLK + ∠KJL

180 = x + x + 10

180 = 2x + 10 (subtract 10 from both sides and rearrange)

2x = 180 - 10

2x = 170 (divide both sides by 2)

x = 170 / 2 = 85°

8 0

3 years ago

Type the expression that results from the following series of steps start with 5 and subtract p

azamat

Answer:

5-p

Step-by-step explanation:

8 0

3 years ago

By what percent did the Howard family's woter bill increase from April to May? april $60.00 may $65.00

Ainat [17]

Answer:

8 percent

Step-by-step explanation:

You have to put the biggest number first, then subtract 65.00 and 60.00. You would get 5, then divide 5 and the original number (60.00). You would get 0.0833333333. Move the decimal two spots to the right. You would get 8 percent. Hope this helps!

8 0

3 years ago

Help

Art [367]

$\huge\fbox{Answer ☘}$

$\bold{3( \frac{27}{8} ) {}^{ \frac{2}{3} \times - 1} = 2( \frac{32}{243} ) {}^{2x} }\\ \\3(( \frac{3}{2} ) {}^{3} ) {}^{ \frac{2}{3} \times - 1 } = 2(( \frac{2}{3} ) {}^{5} ) {}^{2x} \\\\ 3( \frac{3}{2} ) {}^{2 \times - 1} = 2( \frac{2}{3} ) {}^{10x} \\\\ 3( \frac{2}{3} ) {}^{2} = 2( \frac{2}{3} ) {}^{10x} \\\\ 3( \frac{4}{9} ) = 2( \frac{4}{9} ) {}^{5x} \\\\\bold\pink{ comparing \: powers }\\\\5x = 1 \\\\ \bold\blue{x = \frac{1}{5} }$

hope helpful~

5 0

2 years ago