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sveta [45]
2 years ago
14

Find the value of x.

Mathematics
1 answer:
marshall27 [118]2 years ago
5 0

Answer:

  155°

Step-by-step explanation:

The obtuse angle of the large (outside) triangle is the supplement of 60°, so is ...

  180° -60° = 120°

The angle x is the sum of the remote interior angles of that large triangle:

  x = 35° +120° = 155°

__

<em>Check</em>

The other acute angle in the smaller (left) right triangle is 90° -35° = 55°. Then the top acute angle in the larger (bottom, right) right triangle is ...

  180° -55° -60° = 65°

The other acute angle in that triangle is 90° -65° = 25°. It is supplementary to angle x. Hence angle x is 180° -25° = 155°, as above. (Note that x is also the sum of 90° and 65°, the remote interior angles of the nearest right triangle to x.)

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what is the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube
dimaraw [331]
First, try 99^3 = 970299; therefore, it is not the least possible value. 

The above number is a multiple of 99, so we can factor this out to find the least possible value. So we try to factor 99: 

99 = 9 * 11
99 = 3^2 * 11^ 1

and 3^3 * 11^3 = 35937

The least possible value is 4^1 + 11^2 = 125. Its sum is 125 which is a perfect cube. 


4 0
3 years ago
The HCF of 36 72 63<br>The LCM of 8 9 12​
MakcuM [25]

LCM of 8,9,12 is 72

HCF of 36 72 63 is 3

7 0
3 years ago
recycled cds incorporated, offers a choice of 5 used cds for $26, with each additional cd costing $4. write a cost function for
Luda [366]
If $26 represents the cost of  the 5 used CDs, than your formula would be "26+4x" ,x being the amount of extra CDs you purchase.


The number CDs minus 5 is our x value, because the first 5 are the used CDs bundled into the $26 group.

26+4(6-5)
26+4(1)
26+4
30

6 CDs would cost $30
3 0
3 years ago
In the diagram, the radius of the outer circle is 2x cm and the
lord [1]
825
Because when we did that we got
3 0
3 years ago
If B is the midpoint of AC, AC=CD, AB=3x+4, AC=11x-17, and CE=49, find DE.
Luba_88 [7]

Answer:

11

Step-by-step explanation:

AB = 3x + 4 and AC which is twice of AB is equal to 11x - 17

2 (3x + 4) = 11x - 17

6x + 8 = 11x - 17

8 + 17 = 11x - 6x

25 = 5x

5 = x

AC = CD = 11x - 17 ➡ 11×5 - 17 = 38

CD = 38 and DE = 49 - 38 = 11

6 0
3 years ago
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