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Mekhanik [1.2K]
2 years ago
14

If the measure of each base angle of an isosceles triangle is represented by x, then the vertex angles is represented by

Mathematics
1 answer:
Maksim231197 [3]2 years ago
7 0

Answer:

vertex angle = 180° - 2x

Step-by-step explanation:

Since, the measure of each base angle of an isosceles triangle is represented by x.

So, by interior angle sum postulate of a triangle, we have:

x + x + vertex angle = 180°

2x + vertex angle = 180°

vertex angle = 180° - 2x

So, the vertex angle is represented by (180° - 2x).

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Y=2x
Shalnov [3]

Step-by-step explanation:

By substitution method

6x+3(2x)=12

6x+6x =12

12x=12

x=1

y=2x

y=2*1

y=2

7 0
2 years ago
Write the equation that modeled the sequence 63,-21,7,-7/3,7/9
Ilya [14]

Answer:

an = 63(-1/3)^(n-1)

Step-by-step explanation:

This is a geometric sequence with first term 63 and common ratio -1/3.

The equation for the nth term  is

an = 63(-1/3)^(n-1).

6 0
2 years ago
Find the 14th term of the arithmetic sequence - 4x - 1, - 9x - 6 , -14x-11
Yanka [14]

Answer:

-69x-66

Step-by-step explanation:

1) given: a₁=-4x-1; a₂=-9x-6; a₃=-14x-11. Find: a₁₄-?

2) a₁₄=a₁+13d, where d - the difference between neighbor-terms;

3) d=a₂-a₁; ⇔ d= -9x-6+4x+1= -5x-5;

4) a₁₄= -4x-1+13*(-5x-5)= -69x-66.

3 0
2 years ago
The perimeter of a triangle is 4x-8, one of the side is 2x-4 and another is 3x+8. Find the third side
Afina-wow [57]

Step-by-step explanation:

3grhrhrhrhfib0rn4itirig

3 0
2 years ago
jamie is n years old. brian is twice as old as jamie. in 8 yrs, morgan will be 2 yrs more than half of brian and jamies combined
Dimas [21]

Jamie's age is n. (given)

Brian's age is 2n. (given)

Half of Brian and Jamie's present age is (n +2n)/2 = 3n/2.

Let m represent Morgan's age now. Then

... m + 8 = 2 + 3n/2 . . . . . in 8 years, Morgan's age will be 2 more than ...

Subtract 8 to find Morgan's present age:

... m = 3n/2 - 6 . . . . Morgan's present age

3 0
3 years ago
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