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3 years ago

This figure represents a step in a compass-and-straightedge construction. Identify the construction.

Mathematics

2 answers:

Drupady [299]3 years ago

7 0

Answer:

The figure represents the construction of a :

a congruent line segment.

Step-by-step explanation:

The steps for the construction of a congruent line segment is given by:

1. Draw a line AB on the piece of paper.

2. Take a measurement on a compass more than halfway AB and keep the needle of the compass on A and draw an arc above and below AB.

3. Next put the needle of the compass on B and draw the arc that intersects the previous arcs.

4. Name the intersected point above AB as C and below AB as D.

5. Connect the point C to Point D.

6. The lien segment meets AB at some point let it denote by E.

7. Hence, we get line segment AE is congruent to line segment EB.

Goshia [24]3 years ago

6 0

A congruent line segmeny

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A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

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3 years ago