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ohaa [14]
2 years ago
9

Match each statement to it’s corresponding reason. Drake the items on the left to the correct location on the right PLEASE AND T

HANK YOU

Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
6 0

Answer:

Step-by-step explanation:

1) \angle AED and \angle BEC are vertical angles

2) \angle AED and \angle BEC are created by intersecting lines (definition of vertical angles)

3) \angle AED and \angle AEB form a linear pair, \angle AEB and \angle BEC form a linear pair

4)  \angle AED and \angle AEB are supplementary, \angle AEB and \angle BEC are supplementary

5) \angle AED \cong \angle BEC

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A geometric seqerence 1.5, -3, 6, -12 .... How many regative terms in the sequencs greater than
Leno4ka [110]

The total negative terms are 4 which are greater than -6000 if the geometric sequence 1.5, -3, 6, -12 ... with a common ratio -3.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

A geometric sequence 1.5, -3, 6, -12 ....

The common ratio r = -3/1.5 = -2

1.5, -3.6, 6, -12, 36, -108, 324, -972, 2916, -8748

The total negative terms = 4

Thus, the total negative terms are 4 which are greater than -6000 if the geometric sequence 1.5, -3, 6, -12 ... with a common ratio -3.

Learn more about the sequence here:

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4 0
2 years ago
Explain the distance formula. Then use it to calculate the
Alex777 [14]

Answer:

dAB=10\ units

Step-by-step explanation:

we know that

The <u>distance formula</u> is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points

The formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(1, 1) and B(7, −7)

Let

(x1,y1)=A(1, 1)

(x2,y2)=B(7, −7)

substitute the given values in the formula

dAB=\sqrt{(-7-1)^{2}+(7-1)^{2}}

dAB=\sqrt{(-8)^{2}+(6)^{2}}

dAB=\sqrt{64+36}

dAB=\sqrt{100}

dAB=10\ units

6 0
3 years ago
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2 years ago
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1. A researcher is interested in whether drinking different sources of caffeine (tea vs. coffee) leads
g100num [7]

The researcher's scientific/alternative hypothesis is:

  • Different sources of caffeine leads to differences in women's attentional control performance.

The researcher's null hypothesis is:

  • Different sources of caffeine leads to no difference in women's attentional control performance.

The type of sample which the researcher is using is:

  • Probability sampling.

A disadvantage to using this sample type is:

  • It is time consuming.

The thing which the researcher can conclude about these data is:

  • It is conclusive based on the reaction of the women to the independent variables.

If, in the population, women actually show NO difference in attentional control performance after drinking black tea versus coffee, the type of statistical error which the researcher has made is:

  • Type I error

<h3>What is a Scientific Hypothesis?</h3>

This refers to the difference between two variables which is discovered during a scientific research and is an observed pattern.

Read more about scientific hypothesis here:
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3 0
2 years ago
What is the value of p if the expression 4(n+7) is equivalent to (n+p)4?
nikitadnepr [17]

Answer:

p = 7

Step-by-step explanation:

set the expressions = to each other

4(n+7) = 4(n+p)

distribute the 4 on both sides(multiplying the numbers on the inside)

4n+28 = 4n+4p

subtract the 4n from the right and left

28 = 4p

divide by 4

p = 7

3 0
3 years ago
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