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3 years ago

Find the measure of the arc or angle indicated. NO LINKS.

Mathematics

2 answers:

Advocard [28]3 years ago

5 0

9514 1404 393

Answer:

10. A) 120°

11. D) 40°

12. D) 54°

13. A) 101°

Step-by-step explanation:

The applicable rules of angles and arcs are ...

the whole is the sum of the parts
arcs of a circle total 360°
an inscribed angle intercepts an arc of twice its measure

10) Angles C and L intercept the same arc (DE) so will have the same measure.

15x = 16x -4

4 = x . . . . . . . . add 4-15x

arc DE = 2(15x) = 30(4) = 120 . . . degrees

11) Arc VW is twice the measure of angle X, so ...

9x +8 = 2(5x)

8 = x . . . . . . . . . subtract 9x

∠VXW = 5x = 5(8) = 40 . . . degrees

12) Arc EFG is twice the measure of angle W, so ...

70° +FG = 2(88°)

FG = 106° . . . . . . . . . subtract 70°

Arc FGW is twice the measure of angle E, so ...

106° +GW = 2(80°)

GW = 54° . . . . . . . . . . subtract 106°

13) Arc ST is twice the measure of angle R. The sum of arcs is 360°.

RS +ST +TR = 360°

119° +2(70°) +TR = 360°

TR = 101° . . . . . . . . subtract 259°

anyanavicka [17]3 years ago

5 0

Answer:

10. A) 120° 11. D) 40° 12. D) 54° 13. A) 101°

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Step-by-step explanation:

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3 years ago

Gulf gully and jump rope road are a pretty far distance.If the scale for the map is 0.5 inches=2.3 miles,what is the actual dist

Nezavi [6.7K]

Answer:

12 cm = 21.62 miles

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Step-by-step explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of $\frac{map}{real world}$ and simplify.

We know $\frac{map}{real world}=\frac{0.5in}{2.3 miles}$ . We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write $\frac{4.7in}{xmiles}$ and $\frac{2.4in}{xmiles}$

We set them equal.

$\frac{0.5}{2.3}=\frac{4.7}{x}$

and

$\frac{0.5}{2.3}=\frac{2.4}{x}$

To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

$2.3(4.7)=0.5(x)\\10.81=0.5x\\\frac{10.81}{0.5}=\frac{0.5x}{0.5} \\21.62 miles=x$

and

$2.3(2.4)=0.5(x)\\5.52=0.5x\\\frac{5.52}{0.5}=\frac{0.5x}{0.5} \\11.04 miles=x$

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3 years ago

Find n(A) for A={0,1,2,3,...,2000}

miskamm [114]

There are 2001 items in that set.

So n(A) = 2001

We can individually count them all out, which is very slow and tedious, or we can use the formula
n-m+1

where,
m = starting value
n = ending value

In this case,
m = 0
n = 2000
So,
n-m+1 = 2000-0+1 = 2001

This formula only works if we increase the number by 1 each time (eg: 6, 7, 8, etc)

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3 years ago

You are given that<br> 4a-2b = 10<br> (a)<br> Write down the value of<br> 2a - b

Simora [160]

Answer:

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Step-by-step explanation:

4a - 2b = 10

take out the highest common factor of the left side

2(2a - b) = 10

divide both sides by two

2a - b = 10/2

2a - b = 5

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3 years ago

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astra-53 [7]

Answer:

Step-by-step explanation:

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Read 2 more answers

Find the measure of the arc or angle indicated. NO LINKS.​

Find the measure of the arc or angle indicated. NO LINKS.