Mary is 2 years older than Ed, and 3 years ago Mary was twice as old as Ed. Find their present ages.

melamori03 [73]

Answer:

The answer is 8.9 ft

7 0

3 years ago

Let x = a + bi and y = c + di and z = f + gi. Which statements are true? Check all of the boxes that apply. x + y = y + x (x × y

Leni [432]

Answer:

<h3>The statements i) x+y=y+x</h3><h3> ,iv) (x+y)+z=x+(y+z)</h3><h3>and v) (x-y)-z = x-(y-z) are true </h3>

Step-by-step explanation:

Given that x = a + bi and y = c + di and z = f + gi

<h3>To check which statements are true :</h3><h3>i)x+y=y+x</h3><h3>Taking LHS x+y</h3>

Substitute the values of x and y we get

x+y=a+bi+c+di

<h3>x+y=(a+c)+(b+d)i=LHS</h3><h3>Taking RHS y+x</h3>

Substitute the values of x and y we get

y+x=c+di+a+bi
y+x=(c+a)+(d+b)i
y+x=(a+c)+(b+d)i=RHS
Therefore LHS=RHS

<h3>Therefore x+y=y+x statement is true </h3><h3>iv) (x+y)+z=x+(y+z)</h3><h3>Taking LHS (x+y)+z</h3>

Substitute the values of x ,y and z we get

(x+y)+z=(a+bi+c+di)+(f+gi)

<h3>(x+y)+z=(a+c+f)+(b+d+g)i=LHS</h3><h3>Taking RHS x+(y+z)</h3>

Substitute the values of x ,y and z we get

x+(y+z)=(a+bi)+(c+di+f+gi)

Therefore LHS=RHS

<h3>Therefore statement (x+y)+z=x+(y+z) is true</h3><h3>v) (x-y)-z = x-(y-z)</h3><h3>Taking LHS (x-y)-z</h3>

Substitute the values of x ,y and z we get

(x-y)-z=(a+bi-(c+di))-(f+gi)

=a+bi-c-di-f-gi

<h3>(x-y)-z=(a-c-f)+(b-d-g)i=LHS</h3><h3>Taking RHS x+(y+z)</h3>

Substitute the values of x ,y and z we get

x-(y-z)=(a+bi)-((c+di)-(f+gi))

x-(y-z)=a+bi-c-di-f-gi=RHS

Therefore LHS=RHS

<h3>Therefore statement (x-y)-z=x-(y-z) is true</h3><h3>Therefore the statements i) ,iv) and v) are true </h3><h3 />

4 0

3 years ago

Read 2 more answers

Nonsense will be reported!!

Ainat [17]

[8] The hypotenuses must be congruent, DE and IJ

HL is hypotenuse-leg, or where the hypotenuse and one leg are congruent.

Since we see a leg is congruent, to prove they are congruent with HL we will need to know that the hypotenuses are congruent.

[9] Another leg, AC and YX

LL is leg-leg. Since we have one leg, we will need the other leg to prove the triangles are congruent by LL.

[10] A leg, DE and E? or FE and E?

LA means leg-angle. The angles by point E are vertical angles, so they will be congruent. To finish prooving the congruence using LA we will also need a leg.

-> The question marks are because the letters are too blurry to read.

8 0

2 years ago

Someone please help i will give brainliest

baherus [9]

Answer: answers and picture

Step-by-step explanation:

3 0

2 years ago

A bag contains 6 red and 8 white balls. One ball is drawn at random. What is the probability that the drawn is white?

wel

If it's three or more, the probability is 100%.

However, I will assume that you intend to draw only two balls and that you don't replace the first ball in the bag for the second draw.

So you draw one ball. The probability that it's red is 8/14 = 4/7.

You draw again. The probability of getting a second red is 7 (red balls remains) / 13 (balls remaining).

Assuming that the results of the first and second draws are independent,the probability of drawing two red balls is therefore (4/7)*(7/13) = 4/13.

Now, suppose instead of a red on the first draw you got white. The probability of this is 6/14 = 3/7.

Given the first ball is white, the probability of drawing a second white is 5/13.

So the probability of drawing two whites is (3/7)*(5/13) = 15/91.

The outcomes of drawing two reds or two whites are independent of each other, so you can add the probabilities to get the probability of drawing two balls of the same colour, i.e.

4/13 + 15/91 = 43/91

If you prefer to express it as a percentage, it's approximately 47.25%.

5 0

4 years ago

Read 2 more answers