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2 years ago

5

Brandon was playing a video game where he scores three points for each treasure he finds. If he found 32 treasures on the first

level and 68 on the second, what would his score be?

1 answer:

ratelena [41]2 years ago

5 0

Answer:

300 points

Step-by-step explanation:

32 treasures means he has 32*3 points which is 96 points.

68 treasures means he has 68*3 points which is 204 points.

96+204 is 300

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Triangle CDE is an isosceles triangle with angle d congruent to angle E if CD= 4x+9, DE= 7x-5, CE= 16x-27, find x and the measur

Montano1993 [528]

ANSWER

$x = 3$
$CD= 21 \: units$
$DE= 16 \: units$

$CE= 21 \: units$

EXPLANATION

It was given that ∆CDE is an isosceles triangle.

The length of the sides are given in terms of x as follows.

$CD=4x+9$

$DE=7x-5$

$CE=16x-27$

It was also given that, angle D is congruent to angle E.

This implies that, side CD and CE are equal.

Thus,

$|CD| = |CE|$
In terms of x, we have;

$4x + 9 = 16x - 27$

We group like terms to get,

$16x - 4x = 9 + 27$

$12x = 36$

Divide both sides by 12 to get,

$x = \frac{36}{12}$

$\therefore \: x = 3$

The length of the sides are;

$CD=4(3)+9 = 21 \: units$

$DE=7(3)-5 = 16 \: units$

$CE=16(3)-27 = 21 \: units$

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Here are the scores of students on a history test. 55, 56, 57, 58, 58, 64, 65, 66, 69, 75, 77, 78, 81, 81, 85, 86, 91. Create a

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