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3 years ago

4. Your Turn: Find the measure of angle B. Enter only the number as your answer. *

Mathematics

1 answer:

enot [183]3 years ago

3 0

Interior angles of a triangle add up to 180 degrees

3x + 2 + 2x + 7 + 41 = 180
5x + 50 = 180
5x = 180 - 50
5x = 130
x = 130/5
x = 26

< A = 3x + 2......3(26) + 2 = 80
< B = 2x + 7......2(26) + 7 = 59
< C = 41
------------add
for a total of 180 (correct)

so ur < B = 59 <===

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Nathan bought a cd for his friend. The length and width of the cd case is 4 18⁄25 inches. What is the area of the cd case?

ale4655 [162]

Answer:

Hence the area of CD bought by Nathan is <em>22.2784 square inches.</em>

Step-by-step explanation:

The length and width of a CD bought by Nathan is $4\frac{18}{25}=\dfrac{118}{25}$ inches.

As CD have the same length and width this means it will be of the shape of a square.

Hence, the area of CD is given by:

Area of CD=length×width

= $4\dfrac{18}{25}\times4\dfrac{18}{25}$

= $\dfrac{118}{25}\times\dfrac{118}{25}$

= $\dfrac{118\times118}{25\times25}$

= $\dfrac{13924}{625}$

= $22.2784$

Hence the area of CD bought by Nathan is 22.2784 square inches.

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3 years ago

A and B can fill a cistern in 4 hours. A and C can fill

kirill [66]

Answer:

20 hours

Step-by-step explanation:

We can work easier if we think in terms of an hour

the first equation that we can write is

A + B = 1/4 (its meaning is that in an hour A and B fill 1/4 of the cistern)

the second equation we can write is

A + C = 1/5 (its meaning is that in an hour A and C fill 1/5 of the cistern)

the third equation that we can write is

B = 2C (its meaning is that in an hour B fill 2 times C the cistern)

now we can substitute the value of B in the first two equations

A + 2C = 1/4

A + C = 1/5

A = 1/5 - C

1/5 - C + 2C = 1/4

C = 1/4 -1/5

C = (5-4)/20

C = 1/20 (this means that in an hour C will fill 1/20 of the cistern, so it takes 20 hours to fill the entire cistern)

A = 1/5 - 1/20

A = (4-1)/20 = 3/20

B = 1/20 *2 = 1/10

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2 years ago

Write 1,340,000,000,000 in expanded form with exponents

Kazeer [188]

1 × 1010+3 × 109+4 × 108+0 × 107+0 × 106+0 × 105+0 × 104+0 × 103+0 × 102+0 × 101+0 × 10<span>0

</span>

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3 years ago

Plz help !! Financial algebra

aleksklad [387]

Answer:

$8.85

Step-by-step explanation:

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2 years ago

Read 2 more answers

Please help!!!!

tatyana61 [14]

Answer:

Step-by-step explanation:

From the figure attached,

If the figures shown are congruent (Equal in shape and size), length of all the sides must be equal.

Therefore, sides sides CD and GH must be equal in measures.

Distance between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Length of the side CD having ends C(-4, 4) and D(0, 5) will be,

CD = $\sqrt{(-4-0)^2+(4-5)^2}$

CD = $\sqrt{(16+1)}$

= $\sqrt{17}$

Length of GH having ends G(0, -4) and H(4, -5) will be,

GH = $\sqrt{(0-4)^2+(-4+5)^2}$

= $\sqrt{16+1}$

= $\sqrt{17}$

Therefore, m(CD) = m(GH)

Similarly, we can prove all corresponding sides of two figures equal in measure.

This shows ABCD ≅ EFGH.

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2 years ago