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4 years ago

????????????????????

Mathematics

1 answer:

xenn [34]4 years ago

5 0

Answer:

ASA

Step-by-step explanation:

In the 2 triangles

∠J = ∠L

side OJ = side IL

∠O = ∠I

The triangles are congruent by the angle/side/angle (ASA ) postulate

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Find the measure of angle p

erastovalidia [21]

Step-by-step explanation:

The measure of angle p is

180_82 =98

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2 years ago

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Essential: Solve the proportions<br> step by step

vazorg [7]

Answer:

The value of r= $\frac{-106}{47}$

The value of x= $\frac{83}{32}$

Step-by-step explanation:

Given that,

A) $\frac{2r-2}{7r+10} = \frac{9}{8}$

Now,

$\frac{2r-2}{7r+10} = \frac{9}{8}$

8(2r-2)=9(7r+10)

16r-16=63r+90

-16-90=63r-16r

-(16+90)=47r

-106=47r

r= $\frac{-106}{47}$

B) $\frac{x+4}{9} = \frac{3(x-2)-1}{5}$

Now,

$\frac{x+4}{9} = \frac{3(x-2)-1}{5}$

5(x+5)=9[3(x-2)-1]

5x+25=9[3x-6-1]

5x+25=9[3x-7]

5x+25=27x-63

25+63=27x+5x

83=32x

x= $\frac{83}{32}$

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4 years ago

Which is greater 16.45 or 16.454

Murrr4er [49]

16.454 is greater than 16.45.

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3 years ago

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The radius of a cylindrical water tank is 4 ft, and its height is 6 ft, what is the volume of the tank?

Nataliya [291]

Answer:

96π cu ft.

Step-by-step explanation:

V = Bh B = area of the base h = height

The base is a circle, so $B = \pi r^{2} = \pi 4^{2} = 16\pi$

V = 16π(6) = 96π cu ft.

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3 years ago

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Perform the indicated operations; reduce the answer to the lowest terms. A. 3/10 + 6/10 b. 1/3 + 1/4 + 1/6 c. 5/6-3/6 d. 2/3-6/1

yKpoI14uk [10]

Answer:

a. 9/10

b. 3/4

c. 1/3

d. 1/15

e. 6/35

f. 1/15

g. 9/32

h. 4/15

Step-by-step explanation:

a. $\frac{3}{10}+\frac{6}{10}=\frac{9}{10}$

b. $\frac{1}{3}+\frac{1}{4}+\frac{1}{6}=\frac{4}{12}+\frac{3}{12}+\frac{2}{12}=\frac{9}{12}=\frac{3}{4}$

c. $\frac{5}{6}-\frac{3}{6}=\frac{2}{6}=\frac{1}{3}$

d. $\frac{2}{3}-\frac{6}{10}=\frac{20}{30}-\frac{18}{30}=\frac{2}{30}=\frac{1}{15}$

e. $\frac{4}{10}*\frac{3}{7}=\frac{12}{70}=\frac{6}{35}$

f. $\frac{1}{6}*\frac{6}{15}=\frac{1}{15}$

g. $\frac{1}{8}/\frac{4}{9}=\frac{1}{8}*\frac{9}{4}=\frac{9}{32}$

h. $\frac{1}{5}/\frac{3}{4}=\frac{1}{5}*\frac{4}{3}=\frac{4}{15}$

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3 years ago

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