Answer:
A.) <em>m ∠ ABD = m ∠ CBD</em>
Step-by-step explanation:
The line segment BD was constructed as an angle bisector, which means that ∠ ABC was split directly in half. This means that the two resulting angles are congruent.
Let's solve your inequality step-by-step.
−12x−0.4>0.2(36.5x+80)−55
Step 1: Simplify both sides of the inequality.
−12x−0.4>7.3x−39
Step 2: Subtract 7.3x from both sides.
−12x−0.4−7.3x>7.3x−39−7.3x
−19.3x−0.4>−39
Step 3: Add 0.4 to both sides.
−19.3x−0.4+0.4>−39+0.4
−19.3x>−38.6
Step 4: Divide both sides by -19.3.
−19.3x
−19.3
>
−38.6
−19.3
x<2
Answer:
x<2
Answer:
59m
Step-by-step explanation:
No of passenger cars in the train = 6
length of each passenger cars = 18m
total length of 6 passenger cars = 18 * 6 = 108 m
length of caboose = 10m
total length of train when caboose is included = 108 m + 10 m = 118m
_____________________________________________
Let the length of truck be X m
given that length of train is twice of length of truck = 2*X
but length of train as found above is 118 m
this implies
2X = 118
X = 118/2 = 59m
Therefore length of truck is 59m
Answer:
16,000
Step-by-step explanation:
to round to the nearest thousand you must look at the thousands place and then look to the number next to it
if the number is 0 1 2 3 or 4 the thousands place stays the same
if the number is 5 6 7 8 or 9 the thousands place goes up one
in this case it is 0
so it stays the same
16,000 is your answer
Answer:
A point on the line would be (-3, -7) and the slope if -3/2
Step-by-step explanation:
We can find a point on the line by choosing any value for x and putting it in to the equation. Then we can find the y value. For the purpose of this problem, we will use x = -3.
y + 1 = -3/2(x + 7)
y + 1 = -3/2(-3 + 7)
y + 1 = -3/2(4)
y + 1 = -6
y = -7
And we can find the slope simply by looking for the number outside of the parenthesis on the right side of the equal sign (-3/2)
