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Novay_Z [31]
3 years ago
15

Assume the following is a true statement:

Mathematics
1 answer:
vfiekz [6]3 years ago
3 0


We analyze the statement: If it is raining,I will carry an umbrella. This statement can be true because one would surely depend on the weather so as to do not bring any unnecessary things anymore. When the statement is reversed. I will carry an umbrella if it is raining which still makes sense. Answer then is D
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What is the slope between the points (5,-7) and (-7,1)?
SCORPION-xisa [38]
I hope this helps you



(5,-7) x'=5 y'= -7


(-7,1) x"= -7 y"=1


slope. (x'-x")=y'-y"


slope. (5-(-7))= -7-1


slope. 12= -8


slope =-8/12


slope = -2/3
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Two coins and a number cube are tossed at the same time. What is the approximate probability that the coins show different sides
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Prove that the triangle EDF is isosceles. Give reasons for your answer.
Gekata [30.6K]

Answer:

\triangle EDF is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are <u>given</u> the following things:

\angle EDF = y

\text{External }\angle DFG = 90 +\dfrac{y}{2}

Let us try to find out \angle E and \angle DFE. After that we will compare them.

<u>Finding </u>\angle DFE<u>:</u>

Side EG is a straight line so \angle GFE = 180

\angle GFE is sum of internal \angle DFE and external \angle DFG

\angle GFE = 180 = \angle DFE  + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)

<u>Finding </u>\angle E<u>:</u>

<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external \angle DFG = \angle E + \angle EDF

\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2}  -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)

Comparing equations (1) and (2):

It can be clearly seen that:

\angle DFE = \angle E =90-\dfrac{y}{2}

The two angles of \triangle EDF are equal hence \triangle EDF is isosceles.

8 0
3 years ago
A hypothesis test has a significance level of 10%. Explain what this significance level represents.
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