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3 years ago

Consider the figure below. Find the value of x.

Mathematics

1 answer:

Flauer [41]3 years ago

6 0

Answer:

x = 5

Step-by-step explanation:

When two straight lines intersect, four angles are formed. The angles that are directly opposite of each other are equal. Since the angles are equal set the values equal to each other and solve for x.

5x - 5 = 2x + 10

5x - 5 - 2x = 2x + 10 - 2x

3x - 5 = 10

3x - 5 + 5 = 10 + 5

3x = 15

3x/3 = 15/3

x = 5

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3) Using J =

MrRa [10]

Answer:

Diameter = 49

radius = 49/2

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=. 2*22/7*49/2

= 154 cm

hope it helps

3 0

3 years ago

What is 2x+y=4 and 2x+y=-1

butalik [34]

Answer:

{x,y} = {5,6}

Step-by-step explanation:

// Solve equation [1] for the variable x

[1] x = y - 1

// Plug this in for variable x in equation [2]

[2] 2•(y -1) - y = 4

[2] y = 6

// Solve equation [2] for the variable y

[2] y = 6

// By now we know this much :

x = y-1

y = 6

// Use the y value to solve for x

x = (6)-1 = 5

5 0

3 years ago

Read 2 more answers

A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio

Klio2033 [76]

Answer:

k = 0.032
P0 = 131.836

Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

$P(t)=P_0\cdot e^{kt}$

We know from the given points that we can write the equation as ...

$P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t$

Comparing this to the desired form, we see that ...

$P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693$

So, the approximate equation for P is ...

$P(t)=131.836\cdote^{0.032t}$

And the parameters of interest are ...

k = 0.032
P0 = 131.836

4 0

2 years ago

Which represents the value of Point C on the number line?

postnew [5]

Answer:

Step-by-step explanation:

clue what this means LOLOLOL

3 0

3 years ago

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What is the median of the data set represented by the dot plot?

Butoxors [25]

So ur numbers are : 3,3,4,5,5,5,6,8,8

and the median (middle number) is 5 <==

because 2 dots above the 3 means u have 2 threes....and 1 dot above the 4 means there is 1 four..and so on

6 0

3 years ago

Read 2 more answers