All categories

2 years ago

1. If one side of the square is 12in, what is the perimeter and area of the parallelogram?

Mathematics

1 answer:

gayaneshka [121]2 years ago

7 0

Answer:

Not sure for 1. Area might be 144. Perimeter might be 50. I got perimeter by finding slant height of the parallelogram and then substituting it to the perimeter formula (P=2(a+b) where a is a side and b is a base). I found area by just multiplying 12*12 since to find area of parallelogram, it is base x height.

2. 45, 135, 135

Step-by-step explanation:

2. We know that an isosceles trapezoid has congruent base angles and congruent upper angles, so if one base angle measures 45 degrees, the other base angle will also be 45 degrees.

For the upper angles, we know that diagonal angles are supplementary, so 180- base angle 1 (45 degrees)= upper angle 1

180-45=upper angle 1

upper angle 1 = 135 degrees

Mentioned above, upper angles are congruent, so upper angles 1 and 2 will be 135 degrees.

Check: The sum of angles in a quadrilateral is equal to 360 degrees. We can use this to check if our answer is correct.

135+135=270 degrees (sum of upper angles)

45+45= 90 degrees (sum of base angles)

270+90=360

So the angle measures of the other three angles are 135, 135, and 45.

Hope this helps!

You might be interested in

Use the information given to identify the a9 term of the geometric sequence:

Black_prince [1.1K]

-3 that would be or should be that answer

6 0

2 years ago

A development economist is studying income growth in a rural area of a developing country. The last census of the population of

kykrilka [37]

Answer:

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can say that the population mean is not singificantly higher than 425.

Step-by-step explanation:

Data given and notation

$\bar X=433.75$ represent the mean height for the sample

$\sigma=\sqrt{2500}=50$ represent the population standard deviation for the sample

$n=100$ sample size

$\mu_o =425$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean height actually is higher than the mean height for men in 1960, the system of hypothesis would be:

Null hypothesis: $\mu \leq 425$

Alternative hypothesis: $\mu > 425$

Since we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{433.75-425}{\frac{50}{\sqrt{100}}}=1.75$

P-value

Since is a one right tail test the p value would be:

$p_v =P(z>1.75)=1-P(z$

Conclusion

3 0

3 years ago

The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $21,000.00, how much was

Salsk061 [2.6K]

Answer

$23,333

Step-by-step explanation:

100% - 10% = 90%

90% = 0.90

21000/.90 = $23,333

7 0

3 years ago

Question 3(Multiple Choice Worth 4 points)

JulijaS [17]

The value of x from the given equation is ±√10

<h3>Solving linear equations</h3>

Linear equations are equation that has a leading degree of 1. Given the equation below:

Given the equation below;

x² = 10

Take the square root of both sides

√x² = ±√10

x = ±√10

Hence the value of x from the given equation is ±√10

Learn more on equations here: brainly.com/question/2972832

#SPJ1

8 0

2 years ago

Where do the relative minimum and the relative maximum occur for the unknown function y=f(x)? The only information we have about

laila [671]

$f''(3)=2\cdot3-1=6-1=5>0 \Rightarrow \text{minimum}\\
f''(-2)=2\cdot(-2)-1=-4-1=-5$

7 0

3 years ago