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2 years ago

If PQ=RS, which of the following must be true?

Mathematics

1 answer:

maw [93]2 years ago

4 0

Answer:

If PQ=RS then PQ and RS have the same length. Hence option D is correct

Solution:

Given that, pq = rs

And, we have to find which of the given options are true.

a) pq and rs form a straight angle

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

b) pq and rs form a zero angle.

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

c) pq and rs are same segment. 

If two things equal then there is no condition that both represents a single item.

So this statement is false.

d) pq and rs have the same length

As given that pq = rs, we can say that they will have the same length

Hence, option d is true.

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3 years ago

Find the equation of a line perpendicular to -4x+y=10 that passes through the point (-4,9)

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Answer:

y=-1/4x+8

Step-by-step explanation:

To find the equation of a line that is perpendicular to a line, you would take the opposite reciprocal of the slope.

Before that, we need to change the equation into slope-intercept form.

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Now, let's use the point-slope formula to find our equation of the line that passes through (-4,9).

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2 years ago

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2 years ago

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A rectangular field is 30 yards in length and 81 feet in width.

PtichkaEL [24]

Answer:

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Step-by-step explanation:

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1 year ago

Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write wit

SCORPION-xisa [38]

Answer:

Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.

Step-by-step explanation:

We are given the following hypothesis below;

Let p = proportion of people who write with their left hand

So, Null Hypothesis, $H_0$ : p = 0.22 {means that the proportion of people who write with their left hand is equal to 0.22}

Alternate Hypothesis, $H_A$ : p $\neq$ 0.22 {means that the proportion of people who write with their left hand is different from 0.22}

Now, Type I error states that we conclude that the null hypothesis is rejected when in fact the null hypothesis was actually true. Or in other words, it is the probability of rejecting a true hypothesis.

So, in our question; Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

Type II error states that we conclude that the null hypothesis is accepted when in fact the null hypothesis was actually false. Or in other words, it is the probability of accepting a false hypothesis.

So, in our question; Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.

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2 years ago