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3 years ago

Can someone tell me why the answer for this absolute value equation is all real numbers?

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

7 0

Answer:

yo its not that hard it just means that it can be any number

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Two agent angles of a parallelogram are in the ratio 1 by 3 find the measures of all the angles

zalisa [80]

Answer:

The measure of all the angles are;

45°, 135°, 45°, and 135°

Step-by-step explanation:

The given parameters are;

The ratio of two adjacent angles of the parallelogram = 1:3

Let x represent one of the adjacent angles, and let y represent the other adjacent angle

Given that two adjacent angles of a parallelogram are supplementary, we have;

x + y = 180°

x:y = 1:3

Therefore, y = 3 × x = 3·x, which gives;

x + 3·x = 180°

4·x = 180°

x = 180°/4 = 45°

y = 3 × x = 3 × 45° = 135°

Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;

45°, 135°, 45°, and 135°.

8 0

2 years ago

A demographer wants to measure life expectancy in countries 1 and 2. Let μ1 and μ2 denote the mean life expectancy in countries

Art [367]

Answer:

For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:

Null hypothesis: $\mu_1 \leq \mu_2 -10$

Alternative hypothesis: $\mu_1 > \mu_2 -10$

Or equivalently:

Null hypothesis: $\mu_1 - \mu_2 \leq 10$

Alternative hypothesis: $\mu_1 - \mu_2 >10$

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:

Null hypothesis: $\mu_1 \leq \mu_2 -10$

Alternative hypothesis: $\mu_1 > \mu_2 -10$

Or equivalently:

Null hypothesis: $\mu_1 - \mu_2 \leq 10$

Alternative hypothesis: $\mu_1 - \mu_2 >10$

7 0

3 years ago

( THE SUM OF THE MEASURES OF THE ANGLES BELOW IS 180* ) I will give brainlst for whoever gets this right and fills it out

Rufina [12.5K]

Answer:

2x-10+x+x+10=180, or 4x=180

Step-by-step explanation:

So since the total is 180, you add them all up like an equation.

So,

2x-10+x+x+10

Combine like terms

4x=180

x=45

Then plug it back in to the equations.

x=45

(2x-10)=80

(x+10)=55

5 0

3 years ago

Quick help guys thanks :)

Sonbull [250]

Answer:

$\large\boxed{t^{-58}u^{-88}v^{-71}w^{-1}}$

Step-by-step explanation:

$\dfrac{tuv^4w^0}{t^{59}u^{89}v^{75}w}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=t^{1-59}u^{1-89}v^{4-75}w^{0-1}=t^{-58}u^{-88}v^{-71}w^{-1}$

8 0

3 years ago

Need Help Quickly - conjectures with angles

Ksenya-84 [330]

a) false (89+89=178⁰ not acute!)

b) false (they could both be 90⁰ but this is the only angle that works)

c) what

d) false (92+92=184⁰ this is less than 360⁰)

can you please explain c ????

3 0

3 years ago

Can someone tell me why the answer for this absolute value equation is all real numbers? ​

Can someone tell me why the answer for this absolute value equation is all real numbers?