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1 year ago

In the following diagram HI || JK.What is the measure of Angles are not necessarily drawn to scale.

Mathematics

1 answer:

Nadya [2.5K]1 year ago

4 0

ANSWER

xº = 52º

EXPLANATION

Since segments HI and JK are parallel, we can see segment AK as a transversal:

So angle JKA and angle HIA are corresponding angles and they are congruent.

Then we have triangle HAI, and we have two of the angle's measures. The sum of the measures of the interior angles of a triangle is 180º:

$xº+66º+62º=180º$

Solving for x:

$\begin{gathered} xº+128º=180º \\ xº=180º-128º \\ xº=52º \end{gathered}$

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If Mike has m pencils and Jen has three times as many pencils as Mike, how many more pencils does Jen have?

tiny-mole [99]

Answer:

If Sarah has three times as many pencils as Mike she has 3 times the number of pencils Mike has which is equivalent to 3 * m. That means Mike has m pencils and Sarah has 3m pencils. they have m + 3m pencils. The expression would be total: m + 3m.

Step-by-step explanation:

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1 year ago

. At a clothing store, 12 people purchased blue sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 purchased

DedPeter [7]

Answer:

The probability that they purchased a green or a gray sweater is $\frac{12}{31}$

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

$P(A)=\frac{number of favorable cases}{number of possible cases}$

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:

P(A∪B)= P(A) + P(B) - P(A∩B)

Where:

P (A): probability of event A occurring.

P (B): probability that event B occurs.

P (A⋃B): probability that event A or event B occurs.

P (A⋂B): probability of event A and event B occurring at the same time.

Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)

In this case, being:

P(A)= the probability that they purchased a green sweater
P(B)= the probability that they purchased a gray sweater
Mutually exclusive events

You know:

8 purchased green sweaters
4 purchased gray sweaters
number of possible cases= 12 + 8 + 4+ 7= 21

So:

$P(A)=\frac{8}{31}$

$P(B)=\frac{4}{31}$

P(A⋂B) = 0

Then:

P(A∪B)= P(A) + P(B)

P(A∪B)= $\frac{8}{31}+ \frac{4}{31}$

P(A∪B)= $\frac{12}{31}$

The probability that they purchased a green or a gray sweater is $\frac{12}{31}$

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2 years ago

Explain how to solve linear equations.

muminat

Answer:

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2 years ago

A is a finite non-empty set. The domain for relation R is the power set of A.(Recall that the power set of A is the set of all s

siniylev [52]

Answer:

The answer is "Choice D"

Step-by-step explanation:

Determining the information:

For " $X \subseteq A$ " and " $Y \subseteq A$ ", $X$ relates to $Y$ when $X$ and $Y$ has the same cardinality. therefore, R does not have reflective:

For every " $X \subseteq A$ ", " $X= X$ " So, X not proper subset of $X$ . So, R does not havereflexive.

R does not have symmetry:

For every " $X \subseteq Y$ " ,then, " $Y \subset X$ " is not true because $X$ not relate to $Y$ . So, R is not symmetric.

R does not have antisymmetric:

When $X$ relates to $Y$ and $Y$ is relate to $X$ , then " $X \subset Y$ " and " $Y \subset X$ " $\to X=Y$

Therefore, R is anti-symmetric.

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2 years ago

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Dafna1 [17]

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2 years ago