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ElenaW [278]
3 years ago
13

PLEASE HELP!!!

Mathematics
1 answer:
AfilCa [17]3 years ago
3 0

Answer:

h=\dfrac{10\sqrt{3}}{2}=5\sqrt{3}\ cm.

JP=5\sqrt{3}\ cm

Step-by-step explanation:

Connecting points O and E and points O and J, we get triangle EOJ. This triangle is equilateral triangle, because OJ=OE=JE=r=10 cm.

Since EP⊥IJ, then segment JP is the height of the triangle EOJ.

The height of the equilateral triangle can be found using formula

h=\dfrac{a\sqrt{3}}{2},

where a is the side length.

So,

h=\dfrac{10\sqrt{3}}{2}=5\sqrt{3}\ cm.

Therefore JP is 5√3 cm

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Parallel Lines Cut by a Transversal: Maze
CaHeK987 [17]

Start from Start Here square, the pointer to the next question to resolve is given by the solution to the equation in the current square

The values of the Maze are as follows;

  1. x = 10
  2. x = 8
  3. x = -9
  4. x = 5
  5. x = 11
  6. x = 3
  7. x = -5
  8. x = 9
  9. x = 7
  10. x = -7

Reason:

The solutions are;

10·x + 15 = 12·x - 5  by alternate interior angles theorem

  • ∴ x = 10

6·x + 6 = 5·x + 14 by alternate exterior angles theorem

  • ∴ x = 8

x + 109 = 100 by corresponding angles theorem

  • ∴ x = -9

11·x + 5 + 120° = 180° by same side interior angles theorem

  • ∴ x = 5

11·x - 1 = 10·x + 10 by corresponding angles theorem

  • ∴ x = 11

35·x + 5 = 110 by corresponding angles theorem

  • ∴ x = 3

x + 85 + x + 105 = 180 by same side interior angles theorem

  • ∴ x = -5

7·x - 3 + 12·x + 12 = 180° by same side interior angles theorem

  • ∴ x = 9

19·x - 3 = 130 by alternate interior angles theorem

  • ∴ x = 7

x + 67 = 60 by alternate interior angles theorem

  • x = -7

Learn more here:

brainly.com/question/10623667

brainly.com/question/11708384

7 0
3 years ago
HELP ME PLS n j j j hjnbhjbhbj
grin007 [14]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
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Express the area of the entire rectangle.
Alexxandr [17]
2X+9
Combine like terms
4 0
3 years ago
A segment with endpoints A(2,6) and C(5,9) is partitioned by a point B such that AB and BC form a 3:1 ratio. Find B​
Aneli [31]

Answer:

The coordinate of point B is (4, 8.25)

Step-by-step explanation:

Here, we want to find the coordinates of point B

To do this, we are to use the section internal division formula as follows;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

In this case;

(x1,y1) = (2,6)

(x2,y2) = (5,9)

(m,n) = (3,1)

Substituting these values into the section formula, we have;

(x,y) = (1(1) + 3(5))/(1 + 3) , (1(6) + 3(9))/3 + 1)

(x,y) = (16/4, 33/4)

(x,y) = (4,8.25)

3 0
2 years ago
Help please Im bout to fail.....
max2010maxim [7]

Answer:

it's the second to last one on the right side

3 0
3 years ago
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