the last one because 7*3=21 14*3=42 and 21*3=63
Answer:
The answer is below
Step-by-step explanation:
We must first define the concepts a little:
We have that when the sides are congruent that is to say that they have the same direction and the same size and also the two opposite sides are parallel, the angles will be the same.
Now, in an isosceles triangle, two angles are congruent, because their two sides are congruent.
<span>Simplifying
-15x2 + -2x + 8 = 0
Reorder the terms:
8 + -2x + -15x2 = 0
Solving
8 + -2x + -15x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(2 + -3x)(4 + 5x) = 0
Subproblem 1Set the factor '(2 + -3x)' equal to zero and attempt to solve:
Simplifying
2 + -3x = 0
Solving
2 + -3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2
Combine like terms: 0 + -2 = -2
-3x = -2
Divide each side by '-3'.
x = 0.6666666667
Simplifying
x = 0.6666666667
Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:
Simplifying
4 + 5x = 0
Solving
4 + 5x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + 5x = 0 + -4
Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4
Combine like terms: 0 + -4 = -4
5x = -4
Divide each side by '5'.
x = -0.8
Simplifying
x = -0.8
Solutionx = {0.6666666667, -0.8}</span>
Answer:
1,500
Step-by-step explanation:
1,382 + 966
Rounding to the nearest hundred would be:
1,400 + 1000
= 1,500
Answer:
angles 1, 3, 6, 8 = 142°
angles 2, 4, 5, 7 = 38°
Step-by-step explanation:
Vertical angles and corresponding angles are congruent, as are alternate interior angles. Hence the angles 1, 3, 6, 8 are all congruent:
∠1 = ∠3 = ∠6 = ∠8 = 142°
Each of the remaining angles forms a linear pair with one or another of those, so is its supplement:
∠2 = ∠4 = ∠5 = ∠7 = 180° -142° = 38°
