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2 years ago

Which of the following are exterior angles? Check all that apply.

Mathematics

2 answers:

Helen [10]2 years ago

7 0

An exterior angle of a triangle is an angle formed by one side of the triangle and the extension of an adjacent side of the triangle.

FACTS:

Every triangle has 6 exterior angles, two at each vertex.
Notice that the "outside" angles that are "vertical" to the angles inside the triangle are NOT called exterior angles of a triangle.

1. Angles 1, 5 and 6 are inteior angles of the given triangle.

2. Angle 3 is vertical to the interior angle 5.

3. Angles 2 and 4 are exterior angles of the triangle.

Answer: correct options are A and B.

alex41 [277]2 years ago

7 0

Answer:

A. $\angle 2$

B. $\angle 4$

Step-by-step explanation:

Exterior angle: Exterior angle is that angle which is formed by one side and extended adjacent side of the triangle at out side .

In other words,

We can say that

Exterior angle is that angle which form linear pair with one of the interior angles of the triangle.

It means sum of exterior angle and one of interior angle =180 degrees.

By definition of exterior angle

Angle 4 and angle 2 are exterior angles.

Hence, option A and B are true.

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A track and field coach wants to analyze the effect of sports drinks on the performance of his athletes. He decides to test thre

balu736 [363]

Answer:

Different timings for drinking before the run can decrease the accuracy of the outcome.

But different drinks for different people before a single run can ruin the experiment causing usless result. Effect of different sports drink on athletes can not be measured accurately.

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2 years ago

What is the area of parallelogram RSTU? 21 square units 24 square units 28 square units 32 square units

Debora [2.8K]

Answer: 21 square units

Step-by-step explanation:

We know that the area of parallelogram is given by:-

$A=height\times base$

Let US denote the height of the Parallelogram RSTU with corresponding base ST.

By counting the distance between the points using grids or by distance formula,

US= $|4-(-3)|=|7|=7\ units$

ST= $|-1-(-4)|=|-1+4|=|3|=3\ units$

Now, the area of parallelogram RSTU is given by:-

$A=7\times3=21\ \text{square units}$

7 0

2 years ago

Read 2 more answers

A whole number from 1 to 15 inclusive is picked at random.

Helen [10]

Answer:

a) 3/7

b) 3/5

Explanation:

The figure attached shows the Venn diagram for the given sets.

a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?

From the whole numbers 1 to 15, the multiples of 3 that are factors of 24 are in the intersection of the two sets: 3, 6, and 12.

There are a total of 7 multiples of 24, from 1 to 15.

Then, there are 3 multiples of 3 out of 7 factors of 24, and the probability that the number chosen is a multiple of 3 given that is a factor of 24 is:

b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?

The factors of 24 that are multiples of 3 are, again, 3, 6, and 12. Thus, 3 numbers.

The multiples of 3 are 3, 6, 9, 12, and 15: 5 numbers.

Then, the probability that the number chosen is a factor of 24 given that is a multiple of 3 is: