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Goshia [24]
3 years ago
6

Determine the value of x in the diagram below

Mathematics
2 answers:
podryga [215]3 years ago
7 0

Answer:

x = 15

Step-by-step explanation:

The 2 angles are corresponding angles and they are always equal to each other.

5x + 55 = 2x + 100

Subtract 2x from each other;

3x + 55 = 100

Subtract 55 from both sides;

3x = 45

Divide both sides by 3;

x = 15

<em>Check:</em>

5x + 55

Substitute x;

5(15) + 55 = 75 + 55 = 130

2x + 100

Substitute x;

2(15) + 100 = 30 + 100 = 130

aivan3 [116]3 years ago
5 0

Answer:

x = 15

5x + 55 = 2x +100, plug in 15 and they are equal

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chloe has 42 oranges 24 apples and 18 bananas to put into fruit baskets each fruit will be divided equally so each basket will h
Nimfa-mama [501]

We want to calculate the number of baskets to which chloe can make.

Note that we have 42 oranges, 24 apples and 18 bananas, and since we are splitting them into the number of baskets, it must happen that the each number is a multiple of the number of baskets.

We will check each option to find out if the numbers are a multiple of the number. Then we will take the greatest to number to which all of them are a multiple.

Case 2: Note that 42= 21*2, 24=12*2 and 18 = 9*2 so all of them are multiples of 2.

So, so far the greatest number is 2.

Case 3:

Note that 42 = 3*14, 24 = 8*3 and 18 = 6*3. So all of them are multiples of 3.

So, so far the greatest number is 3.

Case 6:

Note that 42 = 6*7, 24 = 6*4 and 18 = 6*3. So all of them are multiples of 3. So, so far the greatest number is 6.

Case 8:

Note that 24=8*3. But neither 18 o 42 are multiples of 8. So, this can't be an option.

So, this means that the most number of fruit baskets Chole can make is 6, since 6 divides evenly all three numbers (42,24 and 18)

3 0
1 year ago
Write these numbers in order starting with the smallest 2.303,2.3,2.33,2.03
Law Incorporation [45]
2.03, 2.3, 2.303, 2.33
6 0
3 years ago
Read 2 more answers
In the figure below, points M, P, H, J, and K lie in plane Z.
marishachu [46]

Answers:

  • (a) LN
  • (b) PHJ
  • (c) K
  • (d) HK

===================================================

Explanation:

Part (a)

Lines LN and PN have the point N in common. This is the intersection point.

-----------------

Part (b)

To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.

I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.

------------------

Part (c)

Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K

------------------

Part (d)

Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.

We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.

Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.

4 0
2 years ago
Is 11/15 less than 1/2
Art [367]
No because if you convert them into a percentage, you get 11/15 as 73.3% and 1/2 is 50%. Hope this helps
6 0
3 years ago
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X-z=-3
mina [271]

Answer:

that is impossible

Step-by-step explanation:

because you have 2 equations where y+z equal different numbers

3 0
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