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irga5000 [103]
1 year ago
13

Which equation is made true by the opposite angles theorem?

Mathematics
1 answer:
Oksana_A [137]1 year ago
4 0

Solution

Step 1

The opposite angles of a parallelogram are equal:

Step 2

85\text{ + y  =  3y - 15}

The equation is made true by the opposite angles theorem is

85 + y = 3y - 15

or

y = 50

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If x represents an even number, which expression represents an odd number?
Sauron [17]
Test the choices !
Pick an even number, and see what each choice does to it.

Let's start with, say,  6 .
We'll try each choice, and see which one produces an odd number:

a).  6 to the 2nd power. . . . . .  6 x 6 = 36.  That's not an odd number.

b).  6 + 3  =  9  This could be it.  9 is odd. We'll save this one.

c).  3·6 = 18.  That's not an odd number.

d).  6/3 = 2.  That's not an odd number.

The only one that gave us an odd number is (b).


3 0
3 years ago
Suppose that you have eight cards. Five are green and three are yellow. The five green cards are numbered 1, 2, 3, 4, and 5. The
Marina86 [1]

Answer:

Step-by-step explanation:

Given that you have eight cards. Five are green and three are yellow. The five green cards are numbered 1, 2, 3, 4, and 5. The three yellow cards are numbered 1, 2, and 3. The cards are well shuffled. You randomly draw one card.

G = card drawn is green

Y = card drawn is yellow

E = card drawn is even-numbered

List:

Sample space = {G1, G2, G3, G4, G5, Y1, Y2, Y3}

2) P(G) = 5/8

3) P(G/E) = P(GE)/P(E)

GE = {G2, G4}

Hence P(G/E) = 2/5

4) GE = {G2, G4}

P(GE) = 2/8 = 1/4

5) P(G or E) = P(G)+P(E)-P(GE)

= 5/8 + 3/8-2/8 = 3/5

6) No there is common element as G2 and G4

Cannot be mutually exclusive

6 0
3 years ago
Piper can read 26 pages in an hour. Last summer she read for 112.5 hours. How many pages did Piper read last summer?
Marat540 [252]
The answer is 2,925 
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so you add 2912 + 13= 2925
3 0
3 years ago
What is the domain of the set of ordered pairs {(−5,−4),(−4,4),(2,3),(4,5)}?
kvv77 [185]

Answer:

{-5,-4,2,4}

Step-by-step explanation:

the domain is which x-values are included so use each of the x-values for each pair. Make sure if there are reapeats that you only write them once.

3 0
2 years ago
What is the best first step to take in solving the equation<br> x2+11x+24/ x2+3x =0
storchak [24]

x=root[3]{-1.500}=-1.14471

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