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2 years ago

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Do all these angles equal 360 degrees?

1 answer:

Annette [7]2 years ago

4 0

Answer:

<h2><u><em>The sum of the interior angles of any quadrilateral is 360 °</em></u></h2>

Step-by-step explanation:

Do all these angles equal 360 degrees?

The sum of the interior angles of <u><em>any quadrilateral is 360 °</em></u>

You might be interested in

The amount a spring will stretch varies directly with the amount of weight attached to the spring. If a spring stretches 2.1 inc

aleksklad [387]

Answer:

$1.05\ in$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Let

x -----> the amount of weight

y ----- the amount a spring will stretch

we know that

For x=80 lb, y=2.1 in

<em>Find the value of k (constant of proportionality)</em>

$k=y/x$

substitute the values

$k=2.1/80$

The linear equation is

$y=(2.1/80)x$

How far will it stretch when 40 pounds is attached?

For x=40 lb

substitute the value of x in the linear equation and solve for y

$y=(2.1/80)(40)=1.05\ in$

3 0

3 years ago

Read 2 more answers

What is the force required to move a 2,000 kg car with an acceleration of 2 m/s/s?

Airida [17]

We know that According to Newton's Second Law that :

Force acting on an object is equal to the Mass of that Object multiplied by the Acceleration of that Object.

Given Mass of the Car as : 2000 kg

Acceleration of the Car as : 2 m/s²

Force required to move the Car = 2000 × 2 = 4000 Newton

6 0

3 years ago

Read 2 more answers

Will give correct answer brainliest

Elodia [21]

Answer:

2. Division property of equality

3. x+1 = -4

4. Subtraction property of equality

5. x = -5

Step-by-step explanation:

8 0

2 years ago

The National Transportation Safety Board publishes statistics on the number of automobile crashes that people in various age gro

ra1l [238]

Answer:

a) Null hypothesis: $p\leq 0.12$

Alternative hypothesis: $p > 0.12$

b) $z_{\alpha}=1.64$

c) $z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362$

d) $p_v =P(z>1.362)=0.0866$

e) For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12

Step-by-step explanation:

Information given

n=1000 represent the random sample selected

X=134 represent the number of young drivers ages 18 – 24 that had an accident

$\hat p=\frac{134}{1000}=0.134$ estimated proportion of young drivers ages 18 – 24 that had an accident

$p_o=0.12$ is the value that we want to verify

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic

$p_v{/tex} represent the p valuePart aWe want to verify if the population proportion of young drivers, ages 18 – 24, having accidents is greater than 12%: Null hypothesis:[tex]p\leq 0.12$

Alternative hypothesis: $p > 0.12$

The statistic would be given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Part b

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.05 of the area in the right and we got:

$z_{\alpha}=1.64$

Part c

For this case the statistic would be given by:

$z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362$

Part d

The p value can be calculated with the following probability:

$p_v =P(z>1.362)=0.0866$

Part e

For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12

8 0

3 years ago

Look at the relation below.

Mariana [72]

Answer:

If we remove one ordered pair (1, -2) then the set of points would represent a function.

Hence, option C i.e. (1, -2) is correct.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Given the relation

{(-2,4), (4,-2), (1,1), (1,-2), (0,1), (6,4)}

If we closely check, we can observe that the input x = 1 is repeated twice.

In other words, there are two ordered pairs (1, 1) and (1, -2) with the same input x = 1. So, x = 1 is duplicated here.

We know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, if we remove one ordered pair (1, -2) then the set of points would represent a function.

Hence, option C i.e. (1, -2) is correct.

3 0

3 years ago