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kati45 [8]
3 years ago
7

What are the values of x and y. In the given figure?

Mathematics
2 answers:
anyanavicka [17]3 years ago
6 0

Answer:

y = 52 degrees

x = 7 degrees

Step-by-step explanation:

Hello! So, we can first easily find out the measurement of y because of the Base Angles Theorem.

[ The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. ]

- www.ck12.org

So basically, in an iscoceles triangle, the base angles are equal so therefore, y = 52 degrees

Now we have to solve for x. We know that the sum of the angles in a triangle are 180 so we have to make an equation:

52 + y = 14x + 6 {<em>We know that y is 52 degrees so we should plug that in</em>}

52 + 52 = 14x + 6 --> Now we should simplify:

104 = 14x + 6

98 = 14x

x = 7 degrees

Setler79 [48]3 years ago
5 0

Answer:

y= 52, x = 5

Step-by-step explanation:

since A = 52 degrees its the same on the otherside

so y= 52

to work out x:

(14x + 6) + 52 + 52 = 180 (sum of all angles in a triangle)

(14x + 6 ) + 104 = 180

14x +6 = 76

14x = 70

x = 5

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Answer:

f = 26

d=112

e=42

Step-by-step explanation:

as far as what i can see, the first given angle is 112 and the second angle is 42.

These two angles are the angles on one straightline, therefore the missing angle will be 180 - 112 - 42 = 26 (Supplementary angle). This angle is not required and it is the missing angle on the left hand side. However, this angle should be equal to that of f (Opposite angle).

By the same way, d and e are the two opposite angles for 112 and 42, respectively.

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2 years ago
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3 years ago
99 Points.
kvasek [131]

The product of the sum of two perfect cubes:

a³ + b³ = (a + b)(a² - ab + b²)

The product of the difference of two perfect cubes:

a³ - b³ = (a - b)(a² + ab + b²)

----------------------------------------------------------------------------------------------------------------

Remember to follow FOIL:

(b^2 + 8)(b^2 - 8)

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(b^2)(-8) = -8b^2

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Combine like terms:

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hope this helps

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Step-by-step explanation:

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