Elimination method
-4x - 15y = -17
-x + 5y = -13

To solve by using the elimination method you need to get one of the variables the same number (the x or y)

We are going to use the y because one is negative and the other is positive

-4x-15y=-17

-x+5y=-13

To get like terms on the y we are going to multiply the bottom equation by 3

(-x+5y=-13) *3

Your new equation would be

-3x+15y=-39 (now your equations look like this:

-4x-15y=-17

-3x+15y=-39

Now you can eliminate the y's by adding, so lets now add the two equations vertically

-4x-15y=-17

-3x+15y=-39

-4x+ -3x= -7x

-15y+15y=0

-17+ -39= -56

Your new equation is:

-7x=-56 (divide each side by a -7 to get x by itself)

x=8

Now you want to plug x in for the bottom equation to find your y so:

-(8) + 5y= -13

-8+5y=-13 (add 8 to both sides)

5y=-5 (divide each side by 5)

y=-1

Your answer is

(8, -1)

Hope this helps ;)

Step-by-step explanation:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;