All categories

1 year ago

Can someone solve this for me?

Mathematics

1 answer:

Helga [31]1 year ago

5 0

well, we know it's a rectangle, so that means the sides JK = IL and JI = KL, so

$\stackrel{JK}{3x+21}~~ = ~~\stackrel{IL}{6y}\implies 3(x+7)=6y\implies x+7=\cfrac{6y}{3} \\\\\\ x+7=2y\implies \boxed{x=2y-7} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{JI}{6y-6}~~ = ~~\stackrel{KL}{2x+20}\implies 6(y-1)=2(x+10)\implies \cfrac{6(y-1)}{2}=x+10 \\\\\\ 3(y-1)=x+10\implies 3y-3=x+10\implies \stackrel{\textit{substituting from the 1st equation}}{3y-3=(2y-7)+10} \\\\\\ 3y-3=2y+3\implies y-3=3\implies \blacksquare~~ y=6 ~~\blacksquare ~\hfill \blacksquare~~ \stackrel{2(6)~~ - ~~7}{x=5} ~~\blacksquare$

You might be interested in

HELP ASAP !! Sloane kicked a soccer ball at a speed of 36 feet per second. If the ball never leaves the ground, then it can be r

murzikaleks [220]

Should be 2.25 seconds

5 0

2 years ago

Read 2 more answers

I only need help on 3, 4 , and D) <br> please help i need it really bad.

Anettt [7]

Answer:

1) 12

2) Yes, there could be 16 people

3) 1/2 of one segment which is 1 block or 2 skinny blocks

4) 1/12

5) 1 of 4 people -> This means that each person gets 1.5/6 pieces which is greater than 0.66/12 piece

1.5/6 = 3/12 which is greater than 0.66/12 piece

Step-by-step explanation:

7 0

2 years ago

The midpoint of AB is M(1, 3). If the coordinates of A are(4,1), what are the coordinates of B?

Oxana [17]

Answer:

B(-2,5)

Step-by-step explanation:

$\frac{x + 4}{2} = 1 \\ 2 \times \frac{x + 4}{2} = 1 \times 2 \\ x + 4 = 2 \\ x = 2 - 4 \\ x = - 2 \\ \frac{y + 1}{2} = 3 \\ 2 \times \frac{y + 1}{2} = 3 \times 2 \\ y + 1 = 6 \\ y = 6 - 1 \\ y = 5$

Hope that this is helpful.

Have a nice day.

6 0

2 years ago

Each week Danny eats 540 grams of cereal over 8 weeks. He finishes a total of 12 boxes of cereal. Each box contains the same amo

leonid [27]

Answer:

360 grams of cereal

Step-by-step explanation:

First you have to do 540 times 8 to find out how many grams of cereal he ate over the eight weeks.

Then you have to divide the answer by 12 to get 360 grams of cereal.

I hope this helped ;)

8 0

2 years ago

The probability for success of an event is P(A), and the probability of success of a second, independent event is P(B). What is

Alborosie

Given:

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

To find:

The probability of both events occurring, in that order.

Solution:

If A and B are two independent events, then

$P(A\cap B)=P(A)\cdot P(B)$

It is given that,

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., $P(A\cap B)$ , therefore $P(A\cap B)=P(A)\cdot P(B)$ .

Hence, the correct option is A.

5 0

2 years ago