these inequalities can be solved just like equations
a. x - 7 > 25
+ 7 +7 x > 32the number line would have a filled in circle at 32 with an arrow pointing to the rightb. x - 8 < 5+8 +8x < 13 the number line would have an empty circle at 13 with an arrow pointing to the leftc.x + 11 > 23 - 11 - 11x > 12the number line would have an empty circle at 12 with an arrow pointing to the rightd. x + 12 < 6 - 12 - 12 x < -6the number line would have a filled in circle at -6 with an arrow pointing to the lefta. 21 < x + 18 -18 -18 3 < xx > 3b. 16 < x - 7 + 7 + 7 23 < x x > 23c. 12 > x - 7 + 7 + 7 19 > x x < 19d. 29 < x + 53 - 53 - 53 -24 < x x > -24e. 15 > x + 19 -19 -19 -4 > x x < -4f. 35 > x - 8 +8 +8 43 > x x < 43g. -6 < x - 18 +18 +18 12 < x x > 12h. -15 < x - 2 + 2 +2 -13 < x x > -13
Answer:
No.
Step-by-step explanation:
No, because 23 > 10 + 10.
If any side is equal or greater than the sum of the other 2 sides no triangle can be drawn.
Answer:
Andre scored 14 points.
Equation: x = 14
Step-by-step explanation:
Let the number of points Andre scored be x.
Diego's points = x-9
Noah's points = (x-9) × 2
= 2x-18
Now, you know the exact value of Noah's points which is 10.
2x-18 = 10
Isolate the 2x.
2x = 10+18
= 28
x = 28÷2
= 14
Answer:
The ladder is 28.6 feet long.
Step-by-step explanation:
Given that:
Length of base = 17 feet
Length above the ground = 23 feet
These forms two legs of right angled triangle.
The length of ladder will be the hypotenuse.
Using Pythagorean theorem;
Taking square root on both sides
Hence,
The ladder is 28.6 feet long.
V=LWH
LW=area of base
V=H*areaofbase
V=2.88
areaofbase=1.44
2.88=height times 1.44
divide 1.44
2=height
2 centimeters
