Answer:
C.) 14
Step-by-step explanation:
Look at the triangle: angles b and c have the same arch, so they are congruent.
In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.
The sides opposite the congruent angles are congruent:
∠B → opposite side → AC
∠C → opposite side → AB
The sides AB and AC are equal. Make an equation:
Simplify the equation, solving for x. Add 7 to both sides:
Subtract 2x from both sides:
The value of x is 7. Insert the value of x into the given length of AC:
Simplify multiplication:
Subtract:
Therefore, the length of the line segment AC is 14.
:Done
Answer:
C
Step-by-step explanation:
We have:
Where a<0.
We would like to solve for a. So, let’s divide both sides by a.
Notice that a<0. Therefore, a is negative. Hence, we must flip the sign since we are dividing by a negative. This yields:
Now, we will subtract b from both sides. Therefore, our inequality is:
Hence, our answer is C.
Answer:
this would be quantitative.
Step-by-step explanation:
because its an amount like dollars of sales per week so it would be quantitative or numbers
Answer:
3
Step-by-step explanation:
The value of "a" is the coefficient of x^2, so we know that is 2.
__
<u>Solve for h</u>
Now, we have ...
2x^2 -8x +7 = 2(x -h)^2 +k
Expanding the right side gives us ...
= 2(x^2 -2hx +h^2) +k
= 2x^2 -4hx +2h^2 +k
Comparing x-terms, we see ...
-4hx = -8x
h = (-8x)/(-4x) = 2
__
<u>Solve for k</u>
Now, we're left with ...
2h^2 +k = 7 = 2(2^2) +k = 8 +k
Subtracting 8 we find k to be ...
k = 7 -8 = -1
__
And the sum of constants a, h, and k is ...
a +h +k = 2 +2 -1 = 3
The sum of the constants is 3.
Answer:33 1/3%
Step-by-step explanation:
