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2 years ago

50 POINTS! Which statement best explains whether △ABC is congruent to △DEF?

Mathematics

2 answers:

aleksandr82 [10.1K]2 years ago

7 0

Option B makes the most sense, because if you follow the steps, they fit perfectly into each other!

nikitadnepr [17]2 years ago

4 0

Answer:

The second choice is correct.

Step-by-step explanation:

Reflecting ABC across the y-axis will negate the x-coordinates, which will place it directly above triangle DEF. Counting down from A to D, B to E and C to F, we see that each is 5 units above the image; this means a translation 5 units down will finish mapping the pre-image to the image. Since they are mapped on top of each other, they are congruent.

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Negative 24 divided 15

valentina_108 [34]

Answer:

-1.6

Step-by-step explanation:

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2 years ago

What is bigger 7.09 or 7.2.

docker41 [41]

7.2 would be bigger than 7.09

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2 years ago

A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

5 0

2 years ago

A new dirt bike valued at $9000 loses 18 percent of its value each year write an exponential function that models the value of t

STatiana [176]

Answer:

717

Step-by-step explanation:

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2 years ago

What are two multiplication digits that equal to 3030

xz_007 [3.2K]

So x times y=3030
x and y=unknown
find the factors (factors of 6=2 and 3)
3030=2,3,5,101 so
two multiplication is
2 times 1515
3 times 1010
5 times 606
30 times 101
202 times 15
303 times 10
505 times 6

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2 years ago