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3 years ago

A parallelogram has an interior angle measuring 81°. Which MUST also be the measure of an interior angle of the parallelogram?

Mathematics

1 answer:

djverab [1.8K]3 years ago

3 0

D) 99°, interior angles in parallelograms are supplementary meaning they add up to 180°. 180°-81°=99°

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Bruce turner pays $124.30 per month for his group medical coverage. His employer pays 65% of the cost. How much is the annual pr

irakobra [83]

Answer: $2,461

Step-by-step explanation:

$124.30 X 65% = $80.79 (Rounded $80.80)

$124.30 + $80.80 = $205.10 X 12 (Months) = $2,461

5 0

4 years ago

Question 2 of 10

nasty-shy [4]

The better statistics which can be used to compare the given distributions are mean and standard deviation.

A z-core is also referred to as a standard score and it can be defined as a statistical measure of the distance between a data point (raw score) and the mean, especially when standard deviation units are used.

In Mathematics, z-scores can either be negative or positive and it is generally calculated by using this formula:

$Z=\frac{x\;-\;u}{\delta}$

<u>Where:</u>

x is the observed data or sample mean.

u is the mean.

$\delta$ is the standard deviation.

In conclusion, the better statistics which can be used to compare the given distributions are mean and standard deviation.

Read more on standard deviation here: brainly.com/question/4302527

8 0

2 years ago

When a jug is half-filled with marbles, it weighs 2.6 kg. If the jug weighs 4 kg when full, find the weight of the empty jug.

Fittoniya [83]

Answer:

1.2 kg

Step-by-step explanation:

filling the jug up half way adds 1.4 kg to the weight.

2 x 1.4 - 2.8 kg of marbles when full

4-2.8 = 1.2 kg

8 0

3 years ago

Read 2 more answers

What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction

katovenus [111]

Answer:

$\dfrac{5}{y+5}$

Step-by-step explanation:

Here, we have to find the sum of 2 fractions:

1st fraction: $\dfrac{3y}{y^{2}+7y+10}$

2nd fraction: $\dfrac{2}{y+2}$

Considering the denominator of 1st fraction:

$y^{2}+7y+10$

Using factorization method:

$7y$ can be written as $(2y + 5y)$ .

$\Rightarrow y^{2}+2y+5y+10$

Taking <em>5 common</em> from $5y+10$ and <em>y common</em> from $y^{2}+2y$ : $\Rightarrow y(y+2)+5(y+2)$

Now taking $(y+2)$ common:

$\Rightarrow (y+5)(y+2)$

$\dfrac{3y}{y^{2}+7y+10}$ can be written as $\dfrac{3y}{(y+5)(y+2)}$

Now, calculating the sum:

$\dfrac{2y}{(y+5)(y+2)} + \dfrac{2}{y+2}$

Taking <em>LCM</em> and solving:

$\Rightarrow \dfrac{3y+2(y+5)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5y+10}{(y+5)(y+2)}\\\Rightarrow \dfrac{5(y+2)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5}{(y+5)}$

Hence, answer is $\dfrac{5}{y+5}$ .

4 0

3 years ago

does an absolute value equation that is equal to a negative number, such as |x|-5=-3, have a solution?

Nadya [2.5K]

Here you go, it does have a solution, the answer is two.

4 0

3 years ago