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3 years ago

Which triangle congruence postulate can be used to prove that FEH=HGF?

Mathematics

1 answer:

Natali5045456 [20]3 years ago

7 0

Answer:

Option (2).

Step-by-step explanation:

From the figure attached,

EFGH is a quadrilateral and FH is line which divides the quadrilateral into two right triangles, ΔFEH and ΔHGF.

In ΔFEH and ΔHGF,

Sides EH ≅ FG [Given]

FH ≅ FH [reflexive property]

ΔFEH ≅ ΔHGF [HL (Hypotenuse - length) postulate of congruence]

Option (2) will be the answer.

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A farmer finds that if she plants 100 trees per acre, each tree will yield 35 bushels of fruit. She estimates that for each addi

castortr0y [4]

Answer:

126 trees should she plant per acre to maximize her harvest.

Step-by-step explanation:

Let x be the additional tress that must be plant after planting 100 tress.

So, total number of trees = 100 + x trees

Also, Each additional tree planted decreases the yield of each tree by 3 bushels.

So , net bushels by each tree = 35 - 3x

The revenue function becomes

f(x) = (100 + x)(35 - 3x)

Thus,

Differentiating it by using chain rule as:

f'(x) = (100 + x)35 + 100(35 - 3x)

f'(x) = 3500 + 35x + 3500 - 300x

f'(x) = 7000 - 265x

For maxima of f(x), f'(x) = 0

7000 - 265x = 0

Thus,

x = 26.4151

Since, x represents tress, so, x is 26.

So, total tress she would plant to earn maximum revenue = 100 + 26 = 126 trees

3 0

3 years ago

For f(x) = -1/5x - 14 find x when f (x) = -8

sergejj [24]

Hi!

30 = x

f(x) = -1/5x - 14 find x when f (x) = -8

Set the equation equal to -8

-8 = -1/5x - 14

Add 14 to both sides.

6 = -1/5x

Multiply both sides by -5.

30 = x

Hope this helps! :D

8 0

3 years ago

Evaluate the following multiplication expression: -2(11)

matrenka [14]

Answer:

the answer is negative 22

Step-by-step explanation:

-2 x 11 = -22

4 0

3 years ago

Area of the grass area only: Area of the track only:

VikaD [51]

Answer:

Step-by-step explanation:

area including track=area of 2 semi circles+area of rectangle

=2×1/2×π×46²+86×65

=2116 π+5590

area of grass=2×1/2×π×40²+80×65=1600π+5200

≈10226.55 m²

area of track=2116π+5590-1600π-5200

=516π+390

≈2011.06 m²

7 0

3 years ago

Simplify: 10 10−2 A) 100 B) 1000 C) 1 102 D) 1 103

Pie

Answer:

100

Step-by-step explanation:

10x10=100

7 0

3 years ago

Read 2 more answers