Answer:
No solution.
Step-by-step explanation:
Original equation: 9<em>x</em> + 8 < 9( <em>x </em>− 7 )
Step 1: Distribute 9 on the right-hand side of the inequality:
9<em>x</em> + 8 < 9<em>x </em>– 63
Step 2: Subtract 8 from both sides of the inequality:
9<em>x</em> + 8 - 8 < 9<em>x </em>– 63 – 8
9<em>x </em>+ 0 < 9<em>x – </em>71
9<em>x </em>< 9<em>x </em>– 71
Step 3: Subtract 9<em>x</em> from both sides of the inequality:
9<em>x – </em>9<em>x </em>< 9<em>x </em>– 71 – 9<em>x</em>
<em> </em>0 < 0 – 71
0 < – 71
Therefore, there is no solution.
<span> When area is equal 1120. We can write an equation
(x+4)(-x+64)=1120
-x²-4x+64x+256=1120
-x²+60x+256-1120=0
-x²+60x-864=0
D=b² - 4ac= 3600-4*864=144, √D=12
x= (-b+/-√D)/2a
x=(-60+/-12)/(-2)
x=24, x=36
For x=24
(x+4)=24+4=28
(-x+64)=(-24+64)=40
For x=36
(x+4)=36+4=40
(x-64) =(-36+64)=28
So sides should be 28 and 40 in.
We did not get any extraneous solutions. They could be if we get negative length side, for example. They can come because a quadratic equation can
give positive and negative numbers because a^2 and (-a)^2 give the same positive number.
We chose to solve this equation using formula for quadratic equations, because this equation has too big numbers to solve it using other methods.
</span>
Answer:
9. 40°
10. 50°
11. 270°
12. 310°
Step-by-step explanation:
m∠BPC = 40° because it is complementary to ∠APB, which is 50°.
Arc AB is 50° because it will be equal to the central angle, which is 50°.
Arc ADC is 270° because it will be equal to the central angle, which is 270°.
Arc ADB is 310° because it will be equal to the central angle, also 310°.