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2 years ago

Find the value of JN in the figure.

Mathematics

1 answer:

yarga [219]2 years ago

7 0

Answer:

JN = 32

Step-by-step explanation:

Δ JMN and Δ JKL are similar ( AA postulate )

then the ratios of corresponding sides are in proportion, that is

$\frac{JM}{JK}$ = $\frac{JN}{JL}$ ( substitute values )

$\frac{24}{33}$ = $\frac{JN}{JN+12}$

$\frac{8}{11}$ = $\frac{JN}{JN+12}$ ( cross- multiply )

11 JN = 8(JN + 12)

11 JN = 8 JN + 96 ( subtract 8 JN from both sides )

3 JN = 96 ( divide both sides by 3 )

JN = 32

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What is the area of a shape with points a 5 -8 b 11, -8 c 11,0 d 6,-3 e 4,-3

Dmitriy789 [7]

Answer:

Area of the given figure is 51.5 square units.

Step-by-step explanation:

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= 11 × 8

= 88 square units

Area of trapezoid OGEF = $\frac{1}{2}(b_1+b_2)\times h$

= $\frac{1}{2}(\text{GE+OF)}\times (\text{OG})$

= $\frac{1}{2}(3+6)\times 4$

= 18 units²

Area of trapezoid GCDE = $\frac{1}{2}(\text{GC+DE)}\times (\text{GE})$

= $\frac{1}{2}(7+2)\times 3$

= 13.5 units²

Area of triangle AFH = $\frac{1}{2}(\text{Base})\times (\text{Height})$

= $\frac{1}{2}(5)(2)$

= 5 units²

Area of polygon ABCDEF = Area of rectangle CBHO - (Area of trapezoid OGEF + Area of trapezoid GCDE + Area of triangle AFH)

= 88 - (18 + 13.5 + 5)

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Therefore, area of the given polygon is 51.5 units²

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4 years ago

What is the answer for N-6/3=4

konstantin123 [22]

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4 0

4 years ago

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Licemer1 [7]

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3 years ago

Read 2 more answers

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Naily [24]

Answer:

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Step-by-step explanation:

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3 years ago

The area of a rectangular knitted blanket is 10x squared minus 11x minus 6. What are the possible dimensions of the blanket? Us

Dmitrij [34]

Answer:

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Step-by-step explanation:

Area of rectangular knitted blanket = $10x^2-11x-6$

We need to find the dimensions of blanket.

If we need to find the dimensions, we need to find the factors of area.

Factoring: $10x^2-11x-6$

We will break the middle them -11x

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6 0

3 years ago

Find the value of JN in the figure. ​

Find the value of JN in the figure.