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Fed [463]
3 years ago
6

Work out the value of x ​

Mathematics
1 answer:
GREYUIT [131]3 years ago
6 0
A full circle is 360°.

x + 3x + 90° = 360°

4x = 360° - 90°

4x = 270°

4x/4 = 270°/4

x = 67.5°

Hope it helps! Make me brainliest if it’s correct.
You might be interested in
Endpoint: (9,-10), midpoint: (4,8)
Alika [10]

Answer:

( -1 , 26)

Step-by-step explanation:

So since you need to find the other endpoint, you would follow these steps:

1.) 4 = \frac{9 + x}{2\\}

2.) 8 = 9 + x  ( you just multiplied the 2 to the 4 to get 8)

3.) -1 = x  (just solve it like a regular equation, so just subtract 9 on both sides                  to get rid of it and that leaves you with -1 = x)

You took the x values of both points and put them in the equation.

And its the same for y

1.) 8 = \frac{-10 + y}{2}

2.) 16 = -10 + y

3.) 26 = y   (you added the 10 on both sides because the 10 was negative and that took the 10 out and so it left you with 26 = y)

5 0
3 years ago
Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______
Vesna [10]

Answer:

c = 11

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

a = b= 5

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

a + b > c

a + c > b

b + c > a

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: a = b= 5

5 + 5 > c ===> 10 > c

5 + c > 5  ===> c > 5 - 5 ===> c > 0

5 + c > 5  ===> c > 5 - 5 ===> c > 0

The results of the inequality is: 10 > c and c > 0

Rewrite as: c > 0 and c < 10

0 < c < 10

This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)

Any value outside this range, cannot form a triangle

So, we can say:

c = 11, since no options are given

8 0
2 years ago
Kara mixes different colors of paint to create new colors. The table shows the amount of paint Kara mixes per batch.
klemol [59]

Answer:

I've done this question: Its batch 5

Step-by-step explanation:

It has to be all equal proportions

4 0
2 years ago
Read 2 more answers
Match each system of linear equations with the correct number of solutions
kondaur [170]

Answer:

Hey there!

The first equation has no solutions, as it is parallel lines.

The second equation has infinitely many solutions, as it is basically the same line, and the two lines intersect at infinite points.

The third equation is just one solution.

Let me know if this helps :)

3 0
3 years ago
Read 2 more answers
39. Kate recorded the time it took six children of
scZoUnD [109]

Answer:

y=-11x+261

Step-by-step explanation:

As you can observe in the image attached, the line that best fits passes through point B and C. That means we can use those point to find the slope of such line.

m=\frac{y_{2} -y_{1} }{x_{2}-x_{1}  }

Where B(11,137) and C(12,126)

m=\frac{126-137}{12-11}=-11

So, the slope of the line that best fits is -11, approximately.

Now, we use the point-slope formula to find the equation.

y-y_{1} =m(x-x_{1} )\\y-137=-11(x-11)\\y=-11x+124+137\\y=-11x +261

Therefore, the line that best fits is y=-11x+261 approximately.

Remember, when we estimate a line for some data on a scatterplot, we are calculating an approximation, that's why we also said "approximately", because the line is an approximation where the majority of point meet.

4 0
3 years ago
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