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4 years ago

Angle 1 and angle 2 are complementary angles. Angle 1 is 82°. What is the measure of angle 2? a.8 b.78 c.82 d.98

Mathematics

2 answers:

RUDIKE [14]4 years ago

7 0

Answer:

8 is the correct answer

Step-by-step explanation:

romanna [79]4 years ago

4 0

A.8 because 90-82=8 complemantry means 90

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If m< LMP is 11 degrees more than m< NMP and m< NML =137, find each measure

Agata [3.3K]

First, note that for angles LMP and NMP you have

$m\angle LMP+m\angle NMP=m\angle NML.$

If $m\angle LMP$ is $11^{\circ}$ more than $m\angle MNP,$ then

$m\angle LMP=m\angle NMP+11^{\circ}.$

Now, since $m\angle MNL=137^{\circ},$ you have

$137^{\circ}=m\angle NMP+11^{\circ}+m\angle NMP,\\ \\2m\angle NMP=137^{\circ}-11^{\circ}=126^{\circ},\\ \\m\angle NMP=63^{\circ}.$

Therefore,

$m\angle LMP=63^{\circ}+11^{\circ}=74^{\circ}.$

Answer: $m\angle LMP=74^{\circ},\ m\angle NMP=63^{\circ}.$

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3 years ago

The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that

Andrew [12]

We know that 70% of all comic book fans are male, and that 40% of Company A fans are male.

Since 25% of all comic book fans are company A fans:
0.4 * 0.25 (meaning 40% of 25%) = 0.1, or 10% of all comic book fans are male company A fans.

What percentage, then, of male comic book fans are company A fans?
0.1 ÷ 0.7 = 0.142
We divide 10%, the percentage of all comic book fans that are male and company A fans, by the percentage of comic book fans that are male, since we are given that the fan is male.

Answer is 0.14

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3 years ago

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What are eight equivalent expressions to 24x - 12?

Levart [38]

Answer:

The expression equivalent is 12 (2x+1)

Step-by-step explanation:

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2 years ago

Find a numerical value of one trigonometric function of x for cscx = sinx tanx + cosx

Alex787 [66]

Answer:

Step-by-step explanation:

we have

$cscx = sinx tanx + cosx\\\\\frac{1}{sinx}=sinx.\frac{sinx}{cosx} +cosx\\\\\frac{1}{sinx}.sinx.cosx= sinx.\frac{sinx}{cosx}.sinx.cosx+cosx.sinx.cosx\\ cosx= (sinx)^{3} +sinx.(cosx)^{2} \\cosx= sinx[(sinx)^{2}+(cosx)^{2})\\ cosx=sinx.1\\cosx=sinx\\tanx=1\\x=\frac{\pi}{4} +k\pi,k-integer.$

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3 years ago

HELP HELP HELP PLS If DF = 6x - 2 and FE = 10x - 18, then what is the length of DF?

lyudmila [28]

Answer: 22
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3 years ago

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