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3 years ago

Name one addition piece of information that is sufficient to prove that the triangles are similar. Please explain!

Mathematics

1 answer:

Sophie [7]3 years ago

8 0

Answer:

the given triangles are right triangles which is enough to prove them 'similar'

but not congruent.

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A number less 24 is -1. Find the number.<br> a) 23<br> b) 25<br> c) -25<br> d) -23

Flauer [41]

Answer:

a) 23

Step-by-step explanation:

6 0

3 years ago

In how many ways can a teacher arrange 6 students in the front row if there are 30 total students?

katrin2010 [14]

Same as before, Permutation $\bf _nP_r=\cfrac{n!}{(n-r)!}\qquad \qquad _{30}P_6=\cfrac{30!}{(30-6)!}$

8 0

3 years ago

Park two has 12 more benches than Park one. If 2 benches were transferred from Park two to Park one, then Park two would have 2

marta [7]

Answer:

There were 6 benches in park 1 and 18 benches in park 2.

Step-by-step explanation:

Let x be the no of benches in Park 1 and y in park 2.

Given that there are 12 more benches in park 2 than 1

Writing this in equation form, we have y = x+12 ... i

Next is if 2 benches were transferred from park 2 to park 1, then we have

x+2 in park 1 and y-2 in park 2.

Given that y-2 = twice that of x+2

Or y-2 = 2x+4 ... ii

Rewrite by adding 2 to both sides of equation ii.

y = 2x+6 ... iii

i-iii gives 0 = -x+6

Or x =6

Substitute in i, to have y = 6+12 = 18

Verify:

Original benches 6 and 18.

18 = 6+12 hence I condition is satisfied

18-2 = 2(6+2)

II is also satisfied.

6 0

2 years ago

Read 2 more answers

Based on historical data, your manager believes that 40% of the company's orders come from first-time customers. A random sample

Vedmedyk [2.9K]

Answer:

$P(0.26 \leq p \leq 0.43)=0.7204-0.0032=0.7172$

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The population proportion have the following distribution

$p \sim N(p=0.4,\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.4(1-0.4)}{91}}=0.0514)$