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3 years ago

What is the probability of pulling a card that is not an odd numbered card from a deck of cards?

1 answer:

8 0

Total number of cards = 52
Number of odd cards in one set = 4
Number of odd cards in total 4 sets= 4*4=16
52-16 = 36 = number of not odd cards
36/52 = 9/13

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The measure of angle D is 5 times the measure of angle E. The two angles are supplementary. Find the measure of each angle

steposvetlana [31]

Angle e = x angle d = 5x supplementary means they add up to 180
x + 5x =180
6x = 180
6x/6 = 180/6
x = 30
so angle e = 30 and angle d = 5(30) = 150

4 0

3 years ago

On a number line, what is the distance between -9 and -5?

Makovka662 [10]

Answer:

The distance on a number line between -9 and -5 would be 4. This is kinda easy.

Step-by-step explanation:

4 0

3 years ago

Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find

densk [106]

Answer:

x=4

Step-by-step explanation:

Step 1:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

$AC^2 = AB^2 + BC^2$

step 2:-

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

$(a + b)^2 = a^2 +2ab+b^2$

289 = 4x^2 +9(x^2+2x+1)

$13x^2 +18x-280 = 0$

finding factors 70 X 52 = 3640

$13x^2 +70x-52x-280 = 0$

$13x^2 -52x+ 70x-280 = 0$

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and $13x =-70$

x=4 and $x=\frac{-70}{13}$

we can not choose negative value so x value is 4

Final answer:- x = 4

verification:-

$AC^2 = AB^2 + BC^2$

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

6 0

3 years ago

Read 2 more answers

Which expression is equal to 3/4

Vitek1552 [10]

3 x 1/4= 3/4
3/3 x 4/4=1
1/4 x 3/4=3/16
4 x 1/3=4/3
The answer is A 3 x 1/4

6 0

3 years ago

Find the vertex of this parabola. y=-2x+4x+12

katrin [286]

Answer:

(1,14)

Step-by-step explanation:

5 0

3 years ago

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