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4 years ago

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Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures cre

ated by the intersecting lines? Explain.

1 answer:

Andru [333]4 years ago

8 0

Answer:

So when two lines intersect, it creates 4 angles. The angles that lie opposite to each other are congruent

If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.

Step-by-step explanation:

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Math modeling: pls help

Andreyy89

Answer:

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Step-by-step explanation:

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3 years ago

What is the recursive rule for this geometric sequence? 12,−2,8,−32,... a1=1/2;an=−4⋅an−1

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4 years ago

Read 2 more answers

Emma started biking to the coffee shop traveling 15 mph, after some time the bike got a flat so Emma walked the rest of the way,

serious [3.7K]

Answer:

$75\text{ miles, }28\text{ miles}$

Step-by-step explanation:

GIVEN: Emma started biking to the coffee shop traveling $15 \text{mph}$ , after some time the bike got a flat so Emma walked the rest of the way, traveling $7 \text{mph}$ If the total trip to the coffee shop took $9 \text{hours}$ and it was $103 \text{miles}$ away.

TO FIND: how long did Emma travel at each speed.

SOLUTION:

Let the distance traveled by Emma through bike is $\text{x}$

Total time taken when traveled by bike $=\frac{\text{x}}{15}$

Distance traveled through feet $=103-\text{x}$

Total time taken when traveled by feet $=\frac{103-\text{x}}{7}$

Now,

Total time taken $=9\text{hours}$

$\frac{\text{x}}{15}+\frac{103-\text{x}}{7}=9$

$8\text{x}=600$

$\text{x}=75$

Distance traveled through feet $=103-75=28\text{miles}$

Hence distance traveled using bike is $75\text{miles}$ and by feet is $28\text{miles}$

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3 years ago

Evaluate a^3 x a^8 method

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3 years ago

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Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99 % of all males. (Accommodating 10

Kitty [74]

Answer:

Upper P 99 = 16.49 in.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 14.4, \sigma = 0.9$

Find Upper P 99

This is X when Z has a pvalue of 0.99. So it is X when Z = 2.327.

$Z = \frac{X - \mu}{\sigma}$

$2.327 = \frac{X - 14.4}{0.9}$

$X - 14.4 = 2.327*0.9$

$X = 16.49$

Upper P 99 = 16.49 in.

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4 years ago