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nataly862011 [7]
3 years ago
6

Solve for x. Assume that lines which appear tangent are tangent.

Mathematics
1 answer:
Lunna [17]3 years ago
4 0

Presumably, <em>x</em> is standing in for the question mark.

The pair of vertical angles (DFE and CFV) shown here both have measure 125°. This angle measure is equal to the average of the measures of the arcs intercepted by the chords CE and DV.

So we have

angle DFE = 1/2 (arc CV + arc DE)

125° = 1/2 (<em>x</em> + 200°)

250° = <em>x</em> + 200°

<em>x</em> = 50°

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Help pls i really need help
Naddik [55]
<h3>Answer:  33%</h3>

===========================================================

Explanation:

1/3 converts to the decimal form 0.333333... where the 3's go on forever

5/3 is a similar story but 5/3 = 1.666666.... where the '6's go on forever

The notation 0.\overline{6} indicates that the 6's go on forever.

So, 0.\overline{6} = 0.666666\ldots

The horizontal bar tells us which digits repeat. As another example, 0.\overline{123} = 0.123123123123\ldots

The three dots just mean "keep this pattern going forever".

----------

Everything mentioned so far has the decimal portions go on forever repeating some pattern over and over.

The only one that doesn't do this is 33% which converts to the decimal form 0.33

The value 0.33 is considered a terminating decimal since "terminate" means "stop". So this is the value that doesn't fit in with the other three items mentioned.

3 0
2 years ago
Find the equation of the line that passes through both (5,1) and (8,-2)
Georgia [21]

Let f(x) = ax+b be the line that passes through both points.

We know that f(5) = 1 and f(8) = -2. So:

\begin{cases}5a+b = 1 \\ 8a+b = -2\end{cases}

Solving the system, we get that a= -1 and b = 6.

So the line is equal to f(x) = 6-x.

5 0
3 years ago
Find the total area of the solid figure. <br><br> 60 sq. in.<br> 78 sq. in.<br> 90 sq. in.
seraphim [82]

Answer:

245.04

Step-by-step explanation:

The equation to a cylinder for area is A=2πrh+2πr^2

Fill in and solve.

A=2(3.14)(3)(10)+2(3.14)(3)^2

So using PEMDAS you get the answer 245.04

3 0
3 years ago
Read 2 more answers
How many cubes with side lengths of 1/2 cm does it take to fill the prism? Height: 3/2 cm Width:1 cm length: 2 cm
Irina18 [472]

Answer:

24

Step-by-step explanation:

If we want to cover the base of the prism having dimensions 2 cm × 1 cm with \frac{1}{2} cm length of cube, then there will be (4 × 2) = 8 cubes that can occupy the base.

Width is 1 cm, so there can fit 2 cubes of length \frac{1}{2} cm and length is 2 cm, where 4 cubes of length \frac{1}{2} cm can fit. So, in total (4 × 2) = 8 cubes of \frac{1}{2} cm length.

Now, height of the prism is \frac{3}{2} cm where 3 cubes of length \frac{1}{2} cm can fit.

Therefore, in total there can be (8 × 3) = 24 cubes of \frac{1}{2} cm length. (Answer)

8 0
3 years ago
What is five sixths of sixty
mart [117]
First you must change 60 into a fraction by putting it over 1
\frac{5}{6}×\frac{60}{1}=\frac{300}{6}
Then you divide the numerator(top) by the denominator(bottom) to get the answer
300÷6=50
Your answer is 50
6 0
3 years ago
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