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Lelechka [254]
3 years ago
11

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

so

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
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