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2 years ago

Please help I really need it. I appreciate anyone who helps

Mathematics

1 answer:

xeze [42]2 years ago

8 0

1 is given

2 Base angles of isosceles triangle

3 Alternate Interior

4subsitution

5corrisponding

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The points (8, -10) and (-21, 4) form a line segment.

Citrus2011 [14]

Answer:

The coordinates of the midpoint are;

(-6.5, -3)

Step-by-step explanation:

Here, we want to get the midpoint of the line segment

To get this, we use the midpoint formula;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

Thus;

(x,y) = (8 - 21)/2, (-10 + 4)/2

(x,y) = -13/2 , -6/2

(x,y) = (-6.5 , -3)

5 0

3 years ago

Solve the system of linear equations using any method 6x+6y=-6, 5x+y=-13

Sergio [31]

Answer:

x=-3

y=2

Step-by-step explanation:

To solve this problem you can use the elimination method:

- Multiply the second equation by -6:

$(-6)5x+y=-13\\-30x-6y=78$

- Add both equations:

$6x+6y=-6\\-30x-6y=78\\-------\\-24x=72\\x=-3$

- Substitute the value of x into one of the original equations and solve for y:

$6(-3)+6y=-6\\-18+6y=-6\\6y=12\\y=2$

8 0

2 years ago

Read 2 more answers

Tina__________ 4 by_____________ to get 16 and 9 by____________ to get 81. She should have multiplied each term by__________ num

andrew11 [14]

Answer:

multiplied 4

9 the same

Step-by-step explanation:

Tina multiplied 4 by 4 to get 16, and 9 by 9 to get 81. she should have multiplied each term by the same number.

7 0

2 years ago

Urgent. There are 12 coloured counters in a bag. The counters are black, white or grey A counter is chosen at random. The probab

Nastasia [14]

Answer:

1/12

Step-by-step explanation:

Needed information

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

The sum of the probabilities of all outcomes must equal 1

Solution

We are told that the probability that the counter is not black is 3/4.

As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is black by subtracting 3/4 from 1:

$\sf P(counter\:not\:black)=\dfrac34$

$\implies \sf P(counter\:black)=1-\dfrac34=\dfrac14$

We are told that the probability that the counter is not white is 2/3.

As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is white by subtracting 2/3 from 1:

$\sf P(counter\:not\:white)=\dfrac23$

$\implies \sf P(counter\:white)=1-\dfrac23=\dfrac13$

We are told that there are black, white and grey counters in the bag. We also know that the sum of the probabilities of all outcomes must equal 1. Therefore, we can work out the probability the counter is grey by subtracting the probability the counter is black and the probability the counter is white from 1:

$\begin{aligned}\sf P(counter\:grey) & = \sf1-P(counter\:black)-P(counter\:white)\\\\ & =\sf 1-\dfrac14-\dfrac13\\\\ & = \sf \dfrac{12}{12}-\dfrac{3}{12}-\dfrac{4}{12}\\\\ & = \sf \dfrac{12-3-4}{12}\\\\ & = \sf \dfrac{5}{12}\end{aligned}$

7 0

2 years ago

Identify the slope for each tables below .....Help me

LenaWriter [7]

The slope of number 9 equals 0, becuase it is horizontal.
The slope of number 10 equals.
$- \frac{1}{2}$

6 0

3 years ago