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Harlamova29_29 [7]

4 years ago

6

A set of five quadrilaterals consists of a square, a rhombus, a rectangle, a trapezoid, and a parallelogram. Sally selects one o

f these figures at random. What is the probability that only one pair of the figure’s opposite sides are parallel?
A. 1/5
B. 3/5
C. 4/5
D. 2/5

1 answer:

Lera25 [3.4K]4 years ago

3 0

The answer is A. 1/5 because only 1 out of the 5 possible answers has 1 pair of parallel sides.
A. 1/5

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3 years ago

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3 years ago

Marco is 8 years younger than his brother Paolo. If their product of their ages is 105, how old is Marco? plz help

Nina [5.8K]

Answer:

Marco's age is 7 years old

Step-by-step explanation:

Let

x ----> Marco's age

y ----> Paolo's age

we know that

$x=y-8$ ----> $y=x+8$ ----> equation A

$xy=105$ ----> equation B

substitute equation A in equation B

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The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+8x-105=0$

so

$a=1\\b=8\\c=-105$

substitute in the formula

$x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(-105)}} {2(1)}$

$x=\frac{-8(+/-)\sqrt{484}} {2}$

$x=\frac{-8(+/-)22} {2}$

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so

The solution is x=7

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4 0

4 years ago