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3 years ago

If AABC ~ ADEF, which pair of angles are always congruent?

Mathematics

1 answer:

RUDIKE [14]3 years ago

7 0

Answer:

2nd answer choice

Step-by-step explanation:

they are congruent aka equal or in the same spot

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A bowl of fruit contains only strawberries and grapes. For every 2 strawberries in a bowl there are 5 grapes.

sdas [7]

Answer:

See Explanation

Step-by-step explanation:

Given

Let:

$S \to$ Strawberry

$G \to$ Grape

The given parameter can be represented as:

$S : G = 2 : 5$

Required

The question is incomplete as what is required is not stated.

Possible questions could be to determine the number of strawberries given a certain number of grapes, and vice versa

Take for instance

Calculate the number of grapes when there are 20 strawberries

We have:

$S : G = 2 : 5$

This becomes

$20 : G = 2 : 5$

Express as fraction

$\frac{20}{ G} = \frac{2 }{5}$

Make G the subject

$G = 20 * \frac{5}{2}$

$G = 10 * 5$

$G = 50$

i.e. 50 grapes

Apply the same method given a certain number of grapes

8 0

3 years ago

Let f(x) = 3x + 2 and g(x) =x - 3. Find f(x) - g(x).

Arturiano [62]

2x + 5 is your answer

8 0

3 years ago

Read 2 more answers

Use the following graph to estimate the rate of change of the function at x=0.6 using the points (0,0) and (1,−0.5)

svetoff [14.1K]

Answer:

The rate of change of the function at x = 0.6 is approximately -0.72

Step-by-step explanation:

The given information from the graph are;

Points (0, 0) and (1, -0.5)

We have that the graph is that of a cubic function, therefore;

f(x) = ax³ + bx² + cx + d

At f'(x) at (0, 0) and (1, -0.5) = 0 gives;

3ax² + 2bx + c = 0

∴ c = 0

Also

ax³ + bx² + cx + d = 0

d = 0

We have

3a(1)² + 2b(1) + 0 = 0

3·a + 2·b = 0..............(1)

a(1)³ + b(1)² + c(1) + d = -0.5

a + b + 0×(1) + 0 = -0.5

a + b = -0.5..........(2)

Multiplying equation (2) by 2 and subtracting it from equation (1) gives;

2 × (a + b = -0.5) = 2·a + 2·b = -1

3·a + 2·b - (2·a + 2·b) = 0 - (-1) = 0 + 1 = 1

a = 1

From

a + b = -0.5, we have;

1 + b = -0.5 = 0

b = -0.5 - 1 = -1.5

The equation becomes

f(x) = x³ - 1.5·x²

The rate of change of the function at x = 0.6 is therefore given as follows;

f'(x) = 3 × x² - 2 × (1.5)·x = 3·x² - 3·x

At x = 0.6, we have;

f'(0.6) = 3·(0.6)² - 3·(0.6)

f'(0.6) = 3×0.6² - 3×0.6 = -0.72

The rate of change of the function at x = 0.6 ≈ -0.72

4 0

3 years ago

Problem Solving with Angles. Quiz. Level

Tpy6a [65]

Answer:

I was too late to answer sorry

3 0

3 years ago

Simplify a+a+a= 4b-b 3x2+x2

Reika [66]

<h2>Good morning,</h2>

__________________

Answer:

a+a+a = 3a.

4b-b = 3b.

3x²+x² = 4x².

explanation

a+a+a = 3a.

4b-b = b(4 - 1) = b × 3 = 3b.

3x²+x² = x²(3 + 1) = x² × 4 = 4x².

_______________________________

7 0

3 years ago