Answer:
LM = 1.5
LN = 3
Step-by-step explanation:
From the question given:
M is the midpoint of LN
LM = 3x
LN= 2x + 2
LM =.?
Next, we shall determine the value of x. This is illustrated below:
Since M is the midpoint of LN, it means that when we divide LN by 2 the result will be LM i.e
LN /2 = LM
With the above formula, we can obtain the value of x as follow:
LN= 2x + 2
LM = 3x
x =..?
LN /2 = LM
2x + 2/ 2 = 3x
Cross multiply
2 × 3x = 2x + 2
6x = 2x + 2
Collect like terms
6x - 2x = 2
4x = 2
Divide both side by 4
x = 2/4
x = 0.5
Finally, we can obtain LM and LN as follow:
LM = 3x
x = 0.5
LM = 3 × 0.5
LM = 1.5
LN= 2x + 2
x = 0.5
LN = 2(0.5) + 2
LN = 1 + 2
LN = 3
<span>An event with probability 0 never occurs. An event with probability 1 occurs on every trial</span>
Since y varies directly as x, you know that y=245 and x=7 can be used as a proportion, 245/7. When you multiply this proportion to 9, you get 315. This is the value of y when x=9.
y=315
Hello!
Angles 3 and 1 are vertical angles, and angles 2 and 4 are vertical angles. Vertical angles are congruent by definition, so angle 3 is congruent to angle 1, and angle 2 is congruent to angle 4.
The adjacent angles are supplementary (they add to equal 180 degrees) so you can set up an equation to solve for x.
180 = 2x + x
180 = 3x
60 = x
x = 60
To find the measure if each angle, plug in x as needed.
Angle 4 = x
Angle 4 = 60 degrees
Angle 2 = angle 4
Angle 2 = 60 degrees
Angle 3 = 2x
Angle 3 = 2(60)
Angle 3 = 120
Angle 1 = angle 3
Angle 1 = 120
I hope this helps you.
Answer:
For 7m^2: 8.4
For .5m^2: .6
For 12 liters of paint: 10m^2
and for 6.6: 5.5m^2
