<h3>
Answers:</h3><h3>
x = 12</h3><h3>
Angle B = 45 degrees</h3>
===========================================================
Explanation:
Angles A and B are alternate exterior angles.
Due to the parallel lines, alternate exterior angles are congruent
A = B
5x-15 = 2x+21
5x-2x = 21+15
3x = 36
x = 36/3
x = 12
Use this x value to find the measure of angle B
angle B = 2x+21
angle B = 2*12+21
angle B = 24+21
angle B = 45 degrees
As a check,
angle A = 5x-15
angle A = 5*12+15
angle A = 60-15
angle A = 45 degrees
Since A and B are both 45 degrees, this confirms the correct x value
Answer:
x ≤ -7
Step-by-step explanation
<em>the steps to solve this are:</em>
1. Add 10 to both sides to get the x value and constant isolated on both sides.
-2x ≥ 14
2. Divide both sides by -2 to get the x value
x ≥ -7
3. Flip the inequality sign since you divided by a negative x-value.
x ≤ -7
Hope i could help! :)
Answer:
The vertex of the parabola = (-7 , -4)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the parabola y = 4 x² + 56 x +192
y = 4 (x² + 14 x + 48 )
y = 4 ( x² + 2 × 7 (x) + 49-1)
y = 4 ( x² + 2 × 7 (x) + 49)- 4
we apply the formula
(a +b)² = a² + 2ab + b²
y = 4 ( x + 7 )² - 4
<u>Step(ii):-</u>
<em>The general form of the parabola in algebraically</em>
<em> y = a ( x-h)² +k</em>
<em>The equation </em>
<em> y = 4 ( x + 7 )² - 4</em>
y = 4 ( x-(-7))² - 4
The vertex of the parabola (h,k) = (-7 , -4)
<u>Final answer:-</u>
The vertex of the parabola = (-7 , -4)
Answer:
The solution is 
. Fourth option
Explanation:
Solve for x:
Move all the terms from the right to the left side of the equation, a zero in the right side:
Join all like terms:
The general form of the quadratic equation is:
Solve the quadratic equation by using the formula:
In our equation: a=1, b=-2, c=-46
Substituting into the formula:
Since 188=4*47
Take the square root of 4:
Divide by 2:
First option: Incorrect. The answer does not match
Second option: Incorrect. The answer does not match
Third option: Incorrect. The answer does not match
Fourth option: Correct. The answer matches exactly this option
The school purchase 1200 notebooks
