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worty [1.4K]
3 years ago
9

Examine the diagram.

Mathematics
1 answer:
wolverine [178]3 years ago
3 0

Answer:

m\angle 1 =60.75^\circ \\m\angle 2 =119.25^\circ

Step-by-step explanation:

From the diagram:

m\angle 1 =60.75^\circ $(Corresponding Angles)\\

Now Angle 1 and Angle 2 are on a straight line, therefore:

m\angle 1 +m\angle 2 =180^\circ $(Linear Postulate)\\Since m\angle 1=60.75^\circ\\60.75^\circ +m\angle 2 =180^\circ\\m\angle 2=180^\circ-60.75^\circ\\m\angle 2 =119.25^\circ

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Why does the quotient of 8 ÷ 1 not change when we add a place value in the dividend and the divisor to make 80 ÷ 10?
Alex Ar [27]

Answer:

Basically this is because division can be thought of as how many times does the divisor have to be multiplied in order to produce the dividend.

So you would need to multiply 1 8 times in order to produce the dividend,

Similarly, 10 goes into 80 8 times. The zeros are simply cancelled out in the division.

4 0
3 years ago
What value represents the number of ways in which the expected classes are free to vary in the chi-square goodness-of-fit test?
Ket [755]

In statistics, the number of degrees of freedom is the number of values in the final calculation of a statistic that are free to vary.

The number of independent ways by which a dynamic system can move, without violating any constraint imposed on it, is called number of degrees of freedom. In other words, the number of degrees of freedom can be defined as the minimum number of independent coordinates that can specify the position of the system completely.

<span>
The degree of freedom
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8 0
3 years ago
This is a pre calculus question that I need help with, serious answer PLEASE and thank you! Will give brainliest.
IRISSAK [1]

The wording of this question is a bit confusing... You can't write a sequence in sigma notation, but rather a series or sum. I think the question is asking you to write the sum of the sequence,

\dfrac12,\dfrac14,\dfrac18,\ldots,\dfrac1{64}

which would be

\dfrac12+\dfrac14+\dfrac18+\cdots+\dfrac1{64}

in sigma notation.

To do this, notice that the denominator in each term is a power of 2, starting with 2^1=2 and ending with 2^6=64. So in sigma notation, this series is

\displaystyle\sum_{n=1}^6\frac1{2^n}

4 0
3 years ago
PLS HELP TIMED HW WILL GIVE BRAINLEIST
pochemuha

Answer:

4.8

Step-by-step explanation:

V_{sphere} = \frac{4}{3} \pi r^3

144\pi= \frac{4}{3} \pi r^3

r^3 = \frac {3 \times 144\pi}{4\pi}

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4 0
2 years ago
Choose the numbers to complete the statement about the expression.
mrs_skeptik [129]

Answer:

1 +  and a half = 1 in a half

Step-by-step explanation:

The numerator in the first fraction is closest to  

10, so the fraction is nearest to  1.

The numerator in the second fraction is closest to 3, so the fraction is nearest to one-half.

The value of the expression can be estimated as 1 +  one-half =  1 and one-half.

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2 years ago
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