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2 years ago

How is this shape not a parallelogram?

Mathematics

1 answer:

lara [203]2 years ago

4 0

The triangles marked may or may not be congruent.

If they were congruent, then we can use CPCTC to get congruent pairs of alternate interior angles and it would lead to the figure being a parallelogram.

But we don't have enough info to know if the triangles are congruent or not. We have the SSA situation going on here, which isn't a valid congruence theorem.

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The Boy scouts spent 10/12 hour doing their daily exercises. They only used 1/4 hour in hiking in. How much time did they use fo

KengaRu [80]

Answer:

Step-by-step explanation:

10/12 of an hour/60 minutes = 50 minutes so they spent that amount of time doing daily exercises

1/4 of an hour/60 minutes = 15 minutes so they spend that time hiking

subtract the 15 mins of hiking from the total 50 of exercises = 35 for other body exercises

Hope this helped!

4 0

2 years ago

Read 2 more answers

at the end of the day vegetables at farm market sell for $2.00 a pound and a bakery costs $3.50. if Charlene wants to buy a bask

9966 [12]

10=2x+3,50 |-3,50
6,50=2x |:2
3,25=x

10=2x+7 |-7
3=2x |:2
1,5=x

You didnt say how many bakery she wants to buy, so i did one inequality for 1 bakery anderen for the maximum of 2.

8 0

3 years ago

At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill.

ki77a [65]

The sales tax for a $66 meal would be $5.61.

6 0

2 years ago

In an experiment to measure the lifetimes of parts manufactured from a certain aluminum alloy, 73 parts were loaded cyclically u

kari74 [83]

Answer:

0.0094.

Step-by-step explanation:

For the given experiment, let X be the lifetimes of parts manufactured from a certain aluminum alloy.

sample size =73

Sample mean = 784

Sample standard deviation = 120

Let µ represent the mean number of kilocycles to failure for parts of this type.

Null hypothesis, H0 : µ ≤ 750

Alternative hypothesis, H1 : µ > 750.

$z=\dfrac{\overline{X}-\mu}{\frac{s}{\sqrt{n}}}$

where,

$\overline{X}$ is sample mean.

$\mu$ is population mean.

s is sample standard deviation.

n is the sample size.

$z=\dfrac{783-750}{\frac{120}{\sqrt{73}}}$

$z=2.35$

It is a right tailed test because alternative hypothesis is µ > 750. So, P-value is the probability of observing a sample mean greater that 783 or the probability of P(z>2.35).

$P=P(z>2.35)$