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Lisa [10]
3 years ago
7

Help on question b ASAP

Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

Answer:

A) a = 108°

B) b = 24°

Step-by-step explanation:

A) The formula used to calculate the interior angle of any polygon is;

θ = 180(n - 2)/n

where;

n is the number of sides that the regular polygon has

θ is the interior angle

This polygon with angle a has 5 sides.

Thus;

a = 180(5 - 2)/5

a = 108°

B) Looking at the image again, we have 2 equilateral triangles and 1 isosceles triangle.

So the point of the ap ex of the unshaded triangle, the angle at that point is 360°

All angles in an equilateral triangle is 60°. Thus, ap ex angle of isosceles triangle is;

360 - (108 + 60 + 60)

360 - 228 = 132°

Now, the other two angles of the unshaded isosceles triangle are equal.

Thus;

2b + 132 = 180 (sum of angles in a triangle)

2b = 180 - 132

2b = 48

b = 48/2

b = 24°

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3 years ago
Read 2 more answers
28/29 and 30 plz short explanation thanks
zzz [600]

Integers are numbers like ...-3, -2, -1, 0, 1, 2, 3... and so on. So, according to this definition, let's solve this problem:


28. We know that the product of three integers is -3. So, the statement states that we have three factor, so:


a.b.c = -3


The possible values of the factors are:

  • Factors are: 3, 1 and -1 in which case:

(3)(1)(-1) = -3

  • Factors are: -3, 1 and 1 in which case:

(-3)(1)(1) = -3


29. In this problem we know two nonzero integers, that is, they cannot be equal to zero. Thus, they must have different sign, that is, one of them must be positive and the other negative. For instance:


  • -9 and 2

(-9)(2) = -18, So -18 is less than -9 and 2


Another example:


  • 1 and -8

(1)(-8) = -8, So -8 is equal to -8 and -8 is less than 1.


30. The sign of the product of two integers with the same sign is positive, that is:


(+)(+) = (+) and

(-)(-) = (+)


So, the sign of the product of three integers with the same sign are two options:

  • <u>Option 1.</u> The three integers are positive in which case:

(+)(+)(+) = (+), So the sign of the product is positive


  • <u>Option 2.</u> The three integers are negative in which case:

(-)(-)(-) = (-), So the sign of the product is negative.


This option two gives us that result because:


(-)(-) = (+) and (+)(-) = (-)

5 0
2 years ago
Find the value of x.<br> X=<br> 137°<br> (4x-17)
Jlenok [28]

Answer:

x = 15°

Step-by-step explanation:

These angles form a linear

4x - 17 + 137° = 180°

4x - 17 = 43°

4x = 60°

x = 15°

7 0
2 years ago
Please help (CORRECT ANSWERS ONLY)
german

-2(8m+8) = -16

-16m - 16 = -16

His first mistake lies in his distribution. When multiplying -2 * 8, he made it a positive 16, when he should have made it a negative 16.

-16m - 16 = -16

Add 16 to each side.

-16m = 0

Divide that by -16

m = 0

7 0
3 years ago
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