Please show a picture of the diagram.
Answer choice B is using the distributive property.
This is an isosceles triangle. The definition of an isosceles triangle is a triangle with at least two congruent sides and angles. If 2 angles on a triangle are congruent (in this case 45 and 45 are two congruent angles) then triangle is isosceles. Therefore the two sides of triangle will be congruent. We know that the triangle is a right triangle because it has a hypotenuse. If a triangle has a hypotenuse then it's a right triangle. We can apply the Pythagorean theorem: a^2 + b^2 = c^2
A and B are the legs and C is the hypotenuse.
We can plug C in the equation:
a^2 + b^2 = 128
What do we know about the legs of the isosceles triangle? They are congruent so a and b have to be equal. From here it's simply guess and check. Will 8 work?
8^2 + 8^2 = 128
64 + 64 = 128
128=128
Yes the value 8 works so the length of two legs of the triangle is 8.
2 times what = -4?
-2 does
-2 x 2 = -4
-4 time what = 8?
Again, -2.
-2 x -4 = 8
You could do this over and over again or make a table, or you can make a function.
f(n) = f(1) • r

f(1) in this case is 2.
f(n) = 2 • r

r is rate of change, which is -2.
f(n) = 2 • -2

To find the 12th number in the sequence, just substitute n for 12.
f(12) = 2 • -2

f(12) = 2 • -2

-2^11 = -2048
2 x -2048 = -4096
So
the 12th number in the sequence will be -4096.
Answer:
Angle 1: Can be measures of triangle: 84
Cannot be angle measures of triangle: 49, 47
Angle 2: Can be measures of triangle: none
Cannot be angle measures of triangle: 50,89,50
Angle 3: Can be angle measures of triangle: 75, 15, 45
Cannot be angle measures of triangle: none
Angle 4: Can be angle measures of triangle: none
Cannot be angle measures of triangle: 25, 22, 133