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Luden [163]
3 years ago
8

Find m A. 20 B. 40 C. 60 D.120

Mathematics
2 answers:
KonstantinChe [14]3 years ago
7 0
The answer is C. 

 I only know this because it is an acute angle so "D" is wrong. It is also too wide to be "A" or "B" so the only of that is left is "C". through process of elimination.
Hatshy [7]3 years ago
4 0
∠FEG is an exterior angle.
An exterior angle of a triangle is equal to the sum of the opposite interior angles, so

2x + x = x + 40
3x = x + 40
3x - x = 40
2x = 40
x = 20

m∠FEG = x+40 = 20+40 = 60°
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"when the population standard deviation is unknown, sample size is less than 30, and the population has a normal or near-normal
dezoksy [38]
<span>The population standard deviation is unknown, sample size is less than 30, and the population has a normal or near-normal distribution</span>.
5 0
3 years ago
Use the law of Sines to find the missing angle of the triangle. <br> Find m
Whitepunk [10]
Ah...Trigonometry is fun!

The law of sines states:
\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}
The transitive property (switching the orders of the equations) applies here. Therfore, we can say that \frac{sinA}{a}=\frac{sinC}{c}

We then plug in our given values to find C

\frac{sin24}{77}=\frac{sinC}{162}
\frac{162*sin24}{77}=sinC
Solving, we get 0.8557316387. We're not done yet!

We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).

arcsin0.8557316387 (arcsin is the same as inverse sin)
=58.8 (approximate)

So the measure of angle C is 58.8. You could check this by reinserting it into the equation \frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}.

:)
6 0
3 years ago
1. On which road would there be a larger standard deviation in speed: a backroad or an interstate? Justify your answer
White raven [17]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Which values for x, y, and z satisfy the equation 7xy/z=28
nirvana33 [79]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Consider the equation x2+4x+9=0 in standard form. Which equation shows the coefficients a, b, and c correctly substituted into t
Afina-wow [57]

Answer:

<h2>x = -2+i√5 and  -2i-√5</h2>

Step-by-step explanation:

The general form of a quadratic equation is ax²+bx+c = 0

Given the quadratic equation x²+4x+9=0 in its standard form, on comparing with the general equation we can get the value of the constant a, b and c as shown;

ax² = x²

a = 1

bx = 4x

b = 4

c = 9

The quadratic formula is given as x = -b±√(b²-4ac)/2a

Substituting the constant;

x = -4±√(4²-4(1)(9))/2(1)

x = -4 ±√(16-36)/2

x = -4±√-20/2

x = -4±(√-1*√20)/2

Note that √-1 = i

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x = (-4±i2√5)/2

x = -4/2±i2√5/2

x = -2±i√5

The solution to the quadratic equation are  -2+i√5 and  -2i-√5

5 0
3 years ago
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