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3 years ago

Can someone help me find x of this triangle

Mathematics

1 answer:

uysha [10]3 years ago

3 0

Answer:

x = 9

Step-by-step explanation:

Sum of a triangle is 180°.

6x + 1 + 6x - 14 + 9x + 4 = 180°

Arrange the like terms together and simply this equation.

6x + 6x + 9x + 1 + 4 - 14 = 180°

21x - 9 = 180°

Shifting '-9' to the other side of the equation gives you '+9'

21x = 180° + 9

21x = 189

Shifting 21 to the other side of the equation (to get x) makes it ÷21 (multiply)

x = 189 ÷ 21

x = 9

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Peter bought 8 lemons for $6 .each lemon was the same price .what was the cost for 1 lemon

Triss [41]

Answer:

0.75 or 75 cents!

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2 years ago

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kherson [118]

Answer:

3/4

Step-by-step explanation:

To answer this question we must first calculate the area of GHJK:

A= GH*HJ
A= (LM/2)* (MN/2)
A= LM*MN/4
LM/MN is the area of LMNO
So the area of LMNO is 4 times the area of GHJK
A is the area of LMNO and S the area of GHJK
S= A/4
A-S= A-A/4 = 3A/4
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4 0

3 years ago

Find the variation constant and an equation of variation for the given situation.

Angelina_Jolie [31]

Answer:

$\displaystyle y=14\cdot x$

Step-by-step explanation:

<u>Directly Proportion</u>

It's said that y varies directly proportional as x, if:

$y=k\cdot x$

Where k is a constant of proportionality.

We know that y=7 when x=1/2.

Using the above condition, we can find the value of k:

$\displaystyle 7=k\cdot \frac{1}{2}$

Solving for k:

k=14

Thus, the equation is:

$\boxed{\displaystyle y=14\cdot x}$

6 0

3 years ago

It takes leon 13 hours to seal his driveway working by hinself. If michael helps leon, they can seal the driveway in 7 hours. Ho

Monica [59]

Answer:

15.1667 hours (15 hours and 10 minutes)

Step-by-step explanation:

Using the concept of "distance = speed * time", we can formulate equations to solve this problem.

Let's call Leon's speed X, Michael's speed Y and the length of the driveway D.

If leon takes 13 hours alone, we can write the equation:

D = X * 13

If Michael helps Leon, we have this equation:

D = (X+Y) * 7

(The total speed is the sum of their speed, as they are working together)

Making the first equation equate the second, we have:

13*X = 7*X + 7*Y

7*Y = 6*X

X = (7/6)*Y

If we use this value of X in the first equation, we have:

D = 13*X = 13*(7/6)*Y = 15.1667*Y

So we have that Michael would take 15.1667 hours (15 hours and 10 minutes) to seal the driveway alone.

4 0

3 years ago

Solve for: lim x>0- ((x+deltaX)^2+x+deltaX-(x^2+x))/deltaX

Alex Ar [27]

2(x + delta x) = 2x + 2 delta x
so on top you have 2x + 2 delta x - 2x
which is 2 delta x
the delta x cancels out and you are left with just 2

so the limit is 2

4 0

3 years ago