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liubo4ka [24]
4 years ago
12

HELP!!!!!!!!!!!!

Mathematics
1 answer:
KatRina [158]4 years ago
6 0

Answer:

Area of triangle= 35

x = 4

Step-by-step explanation:

The formula for area of rectangle = length x width.

Area of triangle = (1/2)bh

It's stated these two areas are equal:

(5)(3x - 5) = (1/2)(x + 3)(10)

Distribute on both the left side and the right side.

15x - 25 = (5)(x + 3)

15x - 25 = 5x + 15

Subtract 5x from both sides and add 25 to both sides.

10x = 40

Divide:

x = 4

Plug this back into the area of triangle:

= (1/2)(x + 3)(10)

= (1/2)(4 + 3)(10)

= (1/2)(7)(10)

= (1/2)(70)

= 35

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The size of the largest angle of the pentagon will be 150°.

<h3>How to illustrate the information?</h3>

A pentagon is the polygon that has five sides. It should be noted that the interior angle of a regular pentagon is 540°.

The given ratio is 2:3:4:4:5. Therefore, the size of the largest angle of the pentagon will be:

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2 years ago
If JKLM is a rectangle, JL = 2x + 5, and MK = 7x – 40, find MK
frez [133]

Answer:

MK = 23

Step-by-step explanation:

Rectangle means that the angles are all 90 degrees, so all the sides are not tilted in any direction. Meaning the JL = MK, therefore:

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2x = 7x - 45

subtract 7x from both sides

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divide by -5

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Suppose y varies directly with x if y=27 when x=3 what is y when x=5
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The value of y when x = 5 is 45

<h3><u>Solution:</u></h3>

Given that y varies directly with x. This can be written mathematically as:

y  ∝  x

y = k \times x  ---- eqn 1

Where "k" is the constant of propotionality

Given y = 27 when x = 3. Substitute these values in eqn 1

27 = k \times 3\\\\k = \frac{27}{3} = 9

<h3>k = 9</h3>

Substitute k = 9 in eqn 1

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<u><em>To find: y = ? and x = 5</em></u>

Substitute x = 5 in eqn 2

y = 9 \times 5 = 45

Thus the value of y when x = 5 is 45

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