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3 years ago

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

Mathematics

1 answer:

Lunna [17]3 years ago

4 0

Presumably, x 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 (x + 200°)

250° = x + 200°

x = 50°

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According to the Centers for Disease Control and Prevention, the proportion of U.S. adults age 25 or older who smoke is 0.22. A

Dmitrij [34]

Answer: Null hypothesis : $H_0:\ p=0.22$

Alternative hypothesis : $H_a:\ p$

Step-by-step explanation:

Given claim : The proportion of U.S. adults age 25 or older who smoke : $p=0.22$

A researcher suspects that the rate is lower among U.S. adults 25 or older who have a bachelor's degree. i.e. $p$

Since the null hypothesis is a fact checked by the researcher or the experimenter that always contains a equals to sign.

∴ Null hypothesis : $H_0:\ p=0.22$

Alternative hypothesis : $H_a:\ p$

3 0

3 years ago

Akira Chang's uncle dies without a will, leaving an estate of $945,000. His heirs consist of a wife and two adult children. His

OLEGan [10]

Let w represent the amount the wife receives.
.. w +2*(2/3*w) = 945,000
.. 7/3w = 945,000
.. w = (3/7)*945,000 = 405,000

The wife will receive $405,000.

5 0

3 years ago

ASAP HELP 10.Simplify the following expression: 2n+4-0.3n-3

Oksana_A [137]

1.7n +1
I think the is the answer
I hope this helps :)

7 0

3 years ago

Can you please help me with this

Y_Kistochka [10]

Answer:

1157 / 500

Step-by-step explanation:

8 0

3 years ago

Solving systems of equations using any method

andreev551 [17]

Answer:

x = 5 , y = 2

Step-by-step explanation:

Solve the following system:

{y = (7 x)/5 - 5 | (equation 1)

{y = (3 x)/5 - 1 | (equation 2)

Express the system in standard form:

{-(7 x)/5 + y = -5 | (equation 1)

{-(3 x)/5 + y = -1 | (equation 2)

Subtract 3/7 × (equation 1) from equation 2:

{-(7 x)/5 + y = -5 | (equation 1)

{0 x+(4 y)/7 = 8/7 | (equation 2)

Multiply equation 1 by 5:

{-(7 x) + 5 y = -25 | (equation 1)

{0 x+(4 y)/7 = 8/7 | (equation 2)

Multiply equation 2 by 7/4:

{-(7 x) + 5 y = -25 | (equation 1)

{0 x+y = 2 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{-(7 x)+0 y = -35 | (equation 1)

{0 x+y = 2 | (equation 2)

Divide equation 1 by -7:

{x+0 y = 5 | (equation 1)

{0 x+y = 2 | (equation 2)

Collect results:

Answer: {x = 5 , y = 2

7 0

3 years ago