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3 years ago

Find the value of x in the diagram and explain your reasoning

Mathematics

1 answer:

Paul [167]3 years ago

7 0

Answer:

C 4.5 the two triangles in the diagram are similar.

Step-by-step explanation:

Since, the two triangles in the diagram are similar.

Therefore,

$4 \times x = 3 \times 6 \\ \\ x = \frac{18}{4} \\ \\ x = 4.5$

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If the area of a rectangle with length (4x) is 4x2 + 12x, find the width.

8090 [49]

Answer:

The width of a rectangle is: w = x+3

Step-by-step explanation:

Given

The length of rectangle = l = 4x

The area of rectangle = A = 4x² + 12x

To determine

The width of rectangle = w = ?

We know that the formula of the area of the rectangle is

$A = wl$

substitute A = 4x² + 12x and l = 4x in the equation to determine the width w of the rectangle

4x² + 12x = w×4x

w = [4x² + 12x] / [4x]

Factor 4x² + 12x: 4x(x+3)

w = [ 4x(x+3) ] / [4x]

w = x+3

Therefore, the width of a rectangle is: w = x+3

3 0

3 years ago

A $25,000 purchase decreases 12% in value per year. Determine the values of the purchase after 3 years and after 7 years.

choli [55]

Use Socratic or slider

4 0

3 years ago

Read 2 more answers

one hose can fill a goldfish pond in 14 minutes, and the two hoses can fill the same pond in 10 minutes, find how long it takes

likoan [24]

Answer:

Step-by-step explanation:

$\frac{1}{14} +\frac{1}{t} =\frac{1}{10}$

Solving this ^^ would equal t=35.

4 0

3 years ago

B) g(-1)

Dahasolnce [82]

Answer:

just sub in the numbers into the equation to replace the X ..

example for

a) h(7) : 44

Step-by-step explanation:

h(7) : x^2 -5

sub in 7 into the equation to replace X

so you get

(7)^2 - 5

49-5

4 0

3 years ago

(1 point) Divide and simplify your answer.

VashaNatasha [74]

Answer:

18.174x

Step-by-step explanation:

5 0

3 years ago