Answer:
the last one
Step-by-step explanation:
2 consecutive even numbers.....x and x + 2
x(x + 2) = 7(x + 2) + 10
x^2 + 2x = 7x + 14 + 10
x^2 + 2x = 7x + 24
x^2 + 2x - 7x - 24 = 0
x^2 - 5x - 24 = 0
(x - 8)(x + 3) = 0
x - 8 = 0
x = 8
x + 3 = 0
x = -3...not this one because it is negative
x = 8
x + 2 = 8 + 2 = 10
so ur 2 consecutive even numbers are 8 and 10
First one: x would be equal to 8 because the angles opposite sides 8 and x are congruent (isosceles triangle)
Second one: x is 75° because the sides opposite x and 75° are congruent (isosceles triangle)
Third one: This is an equilateral triangle since all the sides are equal. In equilateral triangles, every angle is 60° because 60*3=180. So both x and y are 60°
Fourth one: We know that all three angles in a triangle add to 180°. And we also know that the last unlabled angle would be equal to x because this is an isosceles triangle. So we can write
x+x+38=180 (combine like terms)
2x+38=180 (subtract 38 from both sides)
2x=142 (divide both sides by 2)
x=71°
Fifth one: This is an equilateral triangle so all the angles are congruent and add to 180. So we can write
3(4x+12)=180 (distribute)
12x+36=180 (subtract 36 from both sides)
12x=144 (divide both sides by 12)
x=12
Last one: Since the two given angles are opposite congruent sides, these angles are equal. Therefore, we can just make each of these angles 3x to solve for x first. And since we know the last angle is 90° we can write
3x+3x+90=180 (combine like terms)
6x+90=180 (subtract 90 from both sides)
6x=90 (divide both sides by 6)
x=15
So the angle 3x would be 3*15 or 45.
So we can set 45 equal to y+7 and solve for y
y+7=45 (subtract 7 from both sides)
y=38
Hope this helps<span />
Answer:
Step-by-step explanation:
The given expresion is
when we expand this expression we get;
Now let us analyze the options:
First:
This is equivalent to the given expresion.
Second:
Also equivalent
Third:
Also equivalent
Fourth:
Not equivalent
