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Schach [20]
3 years ago
14

The measure of ∠1 = 188 172 94

Mathematics
1 answer:
yanalaym [24]3 years ago
4 0

Answer:  Third option is correct.

Step-by-step explanation:

Since we have given that

There is a cyclic quadrilateral.

As we know that "Sum of opposite angles in a cyclic quadrilateral is supplementary.":

so, it becomes,

86^\circ+\angle 1=180^\circ\\\\\angle 1=180^\circ-86^\circ\\\\\angle 1=94^\circ

Hence, the measure of  ∠1 = 94°

Therefore, Third option is correct.

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How many triangles and quadrilaterals altogether can be formed using the vertices of a 7-sided regular polygon?
MAVERICK [17]

Answer:  The correct option is

(E) 70.

Step-by-step explanation:  We are given to find the number of  triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.

To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is

n_t=^7C_3=\dfrac{7!}{3!(7-3)!}=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}=35.

Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is

n_q=^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!\times3\times2\times1}=35.

Therefore, the total number of triangles and quadrilaterals is

n=n_t+n_q=35+35=70.

Thus, option (E) is CORRECT.

8 0
3 years ago
Round number 245-320
Vesnalui [34]

Answer:

300

Step-by-step explanation:

if you mean, 245.320

5 0
2 years ago
What is the answer about this I really need help
sergey [27]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Suppose we want to choose colors, without replacement, from the colors red, blue, green, and purple.
DerKrebs [107]

The number of ways when the choice is not relevant is 4

<h3>How to determine the number of ways?</h3>

The number of colors are:

Colors, n = 4

The color to choose are:

r = 3

<u>Relevant choice</u>

When the choice is relevant, we have:

Ways = ^nP_r

This gives

Ways = ^4P_3

Evaluate

Ways = 24

Hence, the number of ways when the choice is relevant is 24

<u>Not relevant choice</u>

When the choice is not relevant, we have:

Ways = ^nC_r

This gives

Ways = ^4C_3

Evaluate

Ways = 4

Hence, the number of ways when the choice is not relevant is 4

Read more about combination at:

brainly.com/question/11732255

#SPJ1

4 0
2 years ago
Tonya and Pearl each completed a separate proof to show that the alternate interior angles AKL and FLK are congruent. Who comple
Keith_Richards [23]

Answer: Pearl

Step-by-step explanation:

In step 2, she justified her step by the definition of vertical angles. However, angles AKL and GKB do not share a common side, meaning they are not adjacent angles.

4 0
2 years ago
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