Answer:
x ≥ 1
Step-by-step explanation:
Solve the inequality by solving for x.
Solve:
-4(2x + 1) ≤ 3(x - 5)
Use the distributive property.
-8x - 4 ≤ 3(x - 5)
-8x - 4 ≤ 3x - 15
Subtract 3x from both sides.
-11x - 4 ≤ -15
Add 4 to both sides.
-11x ≤ -11
Divide both sides by -11, also flip the inequality since you're dividing by a negative number.
x ≥ 1
Your final answer would be x ≥ 1
Well this is a hard question to answer, but this is how i would put it.
You would take a number (lets use 15) and the second number (lets use 5) would determine how many times it would go into 15. In other words, 5 time x would equal 15 (5x=15). 5, being a factor of 15, would evenly fit into 15 three times.
7x +16 < -5(4 - 5x)....given
7x + 16 < -20 + 25x....distributive property
16 < -20 + 18x ... subtraction property
16 + 20 < 18x.....addition property
36 < 18x
36/18 < x.....division property
2 < x
Answer:
BH = 16
Step-by-step explanation:
The centroid theorem states that the centroid of a triangle is 2/3 of the distance from a vertex to the midpoint of the opposite side.
That means that BH is 2/3 of the length BF.
BH = (2/3)(BF)
BH = (2/3)(24)
BH = 16
Answer:
4.8 inches
Step-by-step explanation:
<em>See comment for complete question</em>
Represent the larger triangle with 1 and the smaller with 2.
So, we have:
-- height of 1
Required
Determine H2 --- Height of 2
To do this we apply dilation formula.
In this case:
Substitute 6 for H1 and 0.8 for Scale Factor
Hence, the height of the smaller triangle is 4.8 inches
