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2 years ago

I’m revising a test, can someone please help me?

Mathematics

1 answer:

sergejj [24]2 years ago

3 0

Answer:

142°

Step-by-step explanation:

Sum of interior angles of a polygon= (n -2) ×180°, where n is the number of sides of the polygon

Since this polygon has 5 sides, n= 5.

Sum of interior angles

= (5 -2) ×180°

= 3 ×180°

= 540°

Sum of interior angles= 540°

5x +8+5x +10 +6x +15 +7x +2 +2x +5= 540

Grouping like terms together:

5x +5x +6x +7x +2x +8 +10 +15 +2 +5= 540

Simplify:

25x +40= 540

Bringing all constants to one side of the equation:

25x= 540 -40

25x= 500

Divide both sides by 25:

x= 500 ÷25

x= 20

The angle (7x +2)° is the largest interior angle in this polygon.

7x +2

= 7(20) +2

= 142

Thus, the largest interior angle is 142°.

Check:

5x +8= 5(20) +8= 108

5x +10= 5(20) +10= 110

6x +15= 6(20) +15= 135

2x +5= 2(20) +5= 45

The other interior angles are 108°, 110°, 135° and 45°. Hence 142° is the largest interior angle in this polygon.

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Angie and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who complete

Ann [662]

Answer:

Becky completed the proof incorrectly.

Step-by-step explanation:

The only difference of the two proofs, at least what I can see, is the reason for step 2. Angie claims that it is the Definition of Supplementary Angles, while Becky claims Angle Addition Postulate.

The Definition of Supplementary Angles states that m∠A + m∠B = 180°.

While the Angle Addition Postulate states that m∠A + m∠B = m∠C.

Because the context used is that m∠AKG + m∠GKB = 180° and m∠GKB + m∠HKB = 180°, it would be using the Definition of Supplementary Angles.

So Becky is the one who is incorrect.

7 0

2 years ago

Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 b

jeka94

Answer:

Step-by-step explanation:

From the given information; Let's assume that R should represent the set of all possible outcomes generated from a bit string of length 10 .

So; as each place is fitted with either 0 or 1

$\mathbf{|R|= 2^{10}}$

Similarly; the event E signifies the randomly generated bit string of length 10 does not contain a 0

Now;

if a 0 bit and a 1 bit are equally likely

The probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 bit and a 1 bit are equally likely is;

$\mathbf{P(E) = \dfrac{|E|}{|R|}}$

so ; if bits string should not contain a 0 and all other places should be occupied by 1; Then:

$\mathbf{{|E|}=1 }$ ; $\mathbf{|R|= 2^{10}}$

$\mathbf{P(E) = \dfrac{1}{2^{10}}}$

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3 years ago

In the diagram, △A’B’C’ is an image of the △ABC. Which rule describes the translation? PLEASE HELP SOMEONE!!

gayaneshka [121]

Answer:

(5,3) had to write 20 characters

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3 years ago

can someone explain how british currency works in terms of american currency. I am trying to figure out how to convert pounds in

alekssr [168]

As of today, the exchange rate was one British Pound is worth 1.32 American dollars. That means that if you go to the Bank of England and hand them a 10 pound note (is there such a thing?), you will get 13 dollars and 20 pennies (American) back.

So here's the formula

American money = British pounds * 1.32.

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3 years ago

How many solutions exists for the given equation? 3x+13=3(x+6)+1

kolbaska11 [484]

Answer:

No Solutions.

Step-by-step explanation:

original equation

3x+13 = 3(x+6)+1

distribute 3

3x+13 = 3x+18+1

simplify

3x+13 = 3x+19

since the slope is the same for both equations and the y-intercept is different the two equations are parallel meaning they will never intersect so there are no solutions.

7 0

2 years ago

Read 2 more answers