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Alexxandr [17]
2 years ago
14

True or false: equilateral triangles can be classified as acute right or obtuse

Mathematics
2 answers:
yarga [219]2 years ago
7 0

Answer:

it is only acute

Step-by-step explanation:

False: equilateral triangle has 3 equal sides and 3 equal angles measure 60 degrees

sweet-ann [11.9K]2 years ago
7 0

Answer:

True

Step-by-step explanation:

In an equilateral triangle, all sides are equal in length.

That means that all the angles of the triangle will be congruent.

Since a triangle has 3 angles that always add up to 180 degrees, each angle is 60 degrees.

(180/3=60)

A right triangle must have one 90 degree angle.

An obtuse triangle must have an angle that is greater than 90 degrees.

An acute triangle's angles must all measure 89 degrees or less.

Hence, the given statement is true.

Equilateral triangles can be classified as acute.

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g In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if Z STAT
zepelin [54]

Answer:

The P-value is 0.0166.

Step-by-step explanation:

<u>The complete question is:</u> In a​ one-tail hypothesis test where you reject H0 only in the lower ​tail, what is the p-value  if ZSTAT = -2.13.

We are given that the z-statistics value is -2.13 and we have to find the p-value.

Now, the p-value of the test statistics is given by the following condition;

                    P-value = P(Z < -2.13) = 1 - P(Z \leq 2.13)

                                  = 1 - 0.9834 = <u>0.0166</u>

Assuming that the level of significance is 0.10 or 10%.

The decision rule for rejecting the null hypothesis based on p-value is given by;

  • If the P-value of the test statistics is less than the level of significance, then we have sufficient evidence to reject the null hypothesis.
  • If the P-value of the test statistics is more than the level of significance, then we have insufficient evidence to reject the null hypothesis.

Here, the P-value is more than the level of significance as 0.0166 > 0.10, so we have insufficient evidence to reject the null hypothesis, so we fail to reject the null hypothesis.

3 0
2 years ago
-8z+(4.5)+3.5z+7y-1.5
bogdanovich [222]

Answer:

  • \boxed{\sf{7y+3-4.5z}}

Step-by-step explanation:

In order to combine like terms, you have to isolate x and y from one side of the equation.

\sf{-8z+\left(4.5\right)+3.5z+7y-1.5}

<u>First, thing you do is remove parentheses.</u>

\Longrightarrow: \sf{-8z+4.5+3.5z+7y-1.5}

<u>Solve.</u>

<u>Then, you combine like terms.</u>

\Longrightarrow:\sf{-8z+3.5z+7y+4.5-1.5}

<u>Add/subtract the numbers from left to right.</u>

-8z+3.5z=-4.5z

<u>Rewrite the problem down.</u>

\Longrightarrow: \sf{-4.5z+7y+4.5-1.5}

<u>Solve.</u>

4.5-1.5=3

\Longrightarrow: \boxed{\sf{7y+3-4.5z}}

  • <u>Therefore, the correct answer is 7y+3-4.5z.</u>

I hope this helps, let me know if you have any questions.

6 0
1 year ago
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