Answer:
This is not a right triangle(No)
Step-by-step explanation:
Answer:
x = 12
m(QS) = 52°
m(PD) = 152°
Step-by-step explanation:
Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)
Thus:
m<R = ½[m(PD) - m(QS)]
50° = ½[(12x + 8) - (4x + 4)] => substitution
Solve for x
Multiply both sides by 2
2*50 = (12x + 8) - (4x + 4)
100 = (12x + 8) - (4x + 4)
100 = 12x + 8 - 4x - 4 (distributive property)
Add like terms
100 = 8x + 4
100 - 4 = 8x
96 = 8x
96/8 = x
12 = x
x = 12
✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°
✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°
3x-5=19-x
3x-5-19+x=0
4x-24=0
4x=24
x=6
<span>The formula for the volume of a box is:
Volume = L*W*H
We know that the length is 10 cm.
We know that the width is twice the height, so W = 2H.
Then our volume equation is:
Volume = 10*2H*H
Volume = 20*H^2
Since H^2 is in the equation, this is a quadratic equation.</span>
