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Pavlova-9 [17]
3 years ago
8

The triangles below are similar & congruent angles are marked. Find the length of side BC or side DE.

Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0

Answer:

Congruent triangles have both the same shape and the same size. triangles  ABC and DEF are congruent; they have the same angle measures and the same side lengths.

Similar triangles have the same shape, but not necessarily the same size. In the figure below, triangles ABC and XYZ are similar, but not congruent; they have the same angle measures, but not the same side lengths.

Step-by-step explanation:

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Which value of x makes the equation 0.5(x + 15) = 2 + 0.75(x - 4) true?
SIZIF [17.4K]

Answer:

Step-by-step explanation:

\frac{1}{2}(x+15) = 2 + \frac{3}{4}(x-4)

To make this easier, to get ride of the fractions, we can multiply both sides by 4

2(x+15) = 8 + 3(x-4)

now use the distributive property

2x + 30 = 8 + 3x - 12\\

now we want to isolate x to one side and isolate all the constants to the other

2x - 3x = 8 - 12 - 30\\

now simplify

-x = -34\\x = 34

to test, we can plug in back to the original

\frac{1}{2}(34+15) = \frac{49}{2}\\\frac{8}{4} + \frac{3}{4}(34-4) = \frac{8}{4} + \frac{90}{4} = \frac{98}{4} = \frac{49}{2}

it works

7 0
3 years ago
An investment project involves an immediate outlay of $8 million. The net cash flows received at the end of years 1, 2, and 3 wi
My name is Ann [436]

Answer:

(c) 0.46 million

Step-by-step explanation:

As provided immediate cash outlay = $8 million.

This will represent cash outflow at period 0, as it is made immediately, no time period has lapsed.

Cash inflows as provided and the respective present value factor are:

Year         Cash Inflow       Factor              Discounted Value

1                 $3 million         0.9091                $2,727,300

2                $4 million         0.8264               $3,305,600

3                 $2 million         0.7513                $1,502,600

Total present value of cash inflow = $7,535,500

Therefore, net present value = $7,535,500 - $8,000,000 = - $464,500

That is - 0.46 million

Correct option is

(c) 0.46 million

4 0
3 years ago
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