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Lady bird [3.3K]
3 years ago
14

(Last one)

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
4 0
Adjacent anglesTwo angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.Angle Bisectortwo segments that a triangle's side is divided into by a line that bisects the opposite anglecollinearlying in the same straight line.complementary angleseither of two angles whose sum is 90°congruentTwo line segments are congruent if they have the same lengthlinear pairTwo angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degreesopposite raysopposite rays are two rays that have the same endpoint and extend in opposite directionspolyhedrona solid figure with many plane facessegment bisectorA point, segment, line, or plane that divides a line segment into two equal partssupplementary angleseither of two angles whose sum is 180°vertical angleseach of the pairs of opposite angles made by two intersecting linesConditional statementan if-then statement in which p is a hypothesis and q is a conclusion. The logical connector in a conditional statement is denoted by the symbol . The conditional is defined to be true unless a true hypothesis leads to a false conclusion.Conclusiona judgment or decision reached by reasoningConjecturean opinion or conclusion formed on the basis of incomplete informationConverseOppositeCounterexampleA counterexample is a special kind of example that disproves a statement or propositionHypothesisa supposition or proposed explanation made on the basis of limited evidence as a starting pointPostulate 2.1Through any two points, there is exactly one linePostulate 2.2Through any three points not on the same line, there is exactly one plane
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Brain enjoys hang gliding on his last flight, he jumped off a cliff 520 high he landed 450 from the base of the cliff how far di
belka [17]

Answer:

Brain travelled 687.68 from the cliff.

Step-by-step explanation:

Given that:

Height of the cliff = 520

Base of the cliff = 450

The distance will form the hypotenuse of right angled triangle.

Pythagorean theorem states square of hypotenuse of right angled triangle is equal to the sum of squares of base and height of triangle.

Using pythagorean theorem;

a = 520, b=450, c = hypotenuse

a^2+b^2=c^2\\(520)^2+(450)^2=c^2\\270400+202500=c^2\\472900=c^2\\c^2=472900

Taking square root on both sides

\sqrt{c^2}=\sqrt{472900}\\c=687.68

Hence,

Brain travelled 687.68 from the cliff.

6 0
3 years ago
It is generally claimed that the average body temperature for healthy human adults is 98.6°F. To test this claim a simple random
Rzqust [24]

Answer:

Explained below.

Step-by-step explanation:

The information provided is as follows:

\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9

(1)

A single mean test is to be performed in this case.

As the population standard deviation is not provided, a one-sample <em>t</em>-test will be used.

The correct option is b.

(2)

The null hypothesis is:

<em>H</em>₀: The average temperature in the population is 98.6°F, i.e. <em>μ </em>= 98.6°F.

The correct option is b.

(3)

The alternative hypothesis is:

<em>Hₐ</em>: The average temperature in the population is less than 98.6°F, i.e. <em>μ </em>< 98.6°F.

The correct option is c.

(4)

The standard deviation of the sample mean is as follows:

SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F

Thus, the value of SD is 0.3°F.

(5)

Compute the value of test statistic as follows:

t=\frac{\bar x-\mu}{SD_{\bar x}}

  =\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67

Thus, the value of test statistic is -1.67.

(6)

The degrees of freedom of the test are:

df = n - 1

   = 9 - 1

   = 8

Thus, the degrees of freedom of the test is 8.

8 0
3 years ago
what does it mean when the will says tomorrow it's ashes will be scattered to the four winds in the westing game
katovenus [111]

Answer:

In the document, Westing names the sixteen heirs present as his “nieces and nephews” and says that tomorrow his ashes “will be scattered to the four winds.” He then asserts that his life has been taken by one of his heirs, and he promises that the heir who finds something will receive the inheritance

Step-by-step explanation:

 

3 0
2 years ago
Read 2 more answers
Out of 18 people in a room, 2 have red hair. What is the probability that a person picked at random from the room does NOT have
Mariana [72]

Answer :

  • Total number of people in the room = 18

  • Number of people with red hair = 2

  • Number of people not with red hair = 18 - 2 = 16

  • Probability of picking a person who doesn't have red hair = \sf\dfrac{Number\:of\:favourable\:outcomes}{Total\:outcomes}

Probability = 16/18

Reduce the fraction with 2

Probability = 8/9

5 0
3 years ago
Read 2 more answers
I don't know how to do these
mixas84 [53]

Answer:

1. Below 2. B. d = 8h

Step-by-step explanation:

The graph is a bit confusing. But basically, substitute x for the numbers they give you.

5x

5 · 1 = 5 = y

5 · 2 = 10 = y

5 · 3 = 15 = y

5 · 4 = 20 = y

7x

7 · 1 = 7 = y

7 · 2 = 14 = y

7 · 3 = 21 = y

7 · 4 = 28 = y

4 0
3 years ago
Read 2 more answers
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