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Kipish [7]
4 years ago
7

Simplify the expression.

le="\frac{5}{\sqrt{3}-2 }" alt="\frac{5}{\sqrt{3}-2 }" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
zhannawk [14.2K]4 years ago
7 0

Answer:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

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M is the midpoint of LN. What is the measure of LM= 3x and LN= 2x + 2, find LM.
raketka [301]

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

4 0
3 years ago
If two events have probabilities which sum to 1, they are called ________ events.
Alenkasestr [34]
<span>An event with probability 0 never occurs. An event with probability 1 occurs on every trial</span>
8 0
3 years ago
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Find y when x=9 if y varies directly as x, and y=245 when x=7
Aleonysh [2.5K]
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
8 0
3 years ago
Find x and fill in the angle values. Could you also explain how it works? Please and thank you.
dlinn [17]
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.
4 0
3 years ago
HELP PLEASE THIS IS DUE MONDAY! :(( GIVING 25 POINTS !!!
Rufina [12.5K]

Answer:

For 7m^2: 8.4

For .5m^2: .6

For 12 liters of paint: 10m^2

and for 6.6: 5.5m^2

8 0
3 years ago
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