Answer:
x > 14 ; x < 12
Step-by-step explanation:
Perimeter > 50, so that means all the sides added together are larger than 50. x+4+2x-6+10>50, so x > 14
Area < 138, so that means 3*(4x-2) < 138, so x < 12
Rewrite the inequality without the absolute value
-18 < x - 13 < 18
Add 13 to the whole equation
-18 + 13 < x < 18 + 13
Simplify
<u>-5 < x < 31</u>
Answer:
153 miles
Step-by-step explanation:
1 inch = 36 miles.
First, find the measurement of miles for 1/4 inch. Divide 36 with 4:
36/4 = 9
1/4 inch. = 9 miles.
Next, find the amount of measurement of miles per 4 inches:
4 x 36 = 144 miles.
Finally, combine the two measurements together:
144 + 9 = 153 miles.
153 miles is your answer.
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Answer:
mean= 4.68
variance= 1.0296
Step-by-step explanation:
mean= n×p
n=6
p=0.78
mean= 6×(0.78)
= 4.68
variance= n×p×(1-p)
= 6 × 0.78×(1-0.78)
= 1.0296
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°
