-3x + 5y = -9
4x + 8y = 12
Simplify the second,
x + 2y = 3
Times three,
3x + 6y = 9
Add to the first equation,
11y = 0
y = 0
-3x + 5(0) = -9
x = 3
Answer: x=3, y=0
<h2>○=> <u>Correct options</u> :</h2><h2>□

</h2><h2>□

</h2><h3><u>Steps to derive the correct options</u> :</h3>
Since two sides and one included angle is equal in △PQS and △PRS, we can conclude that they are congruent under the SAS congruence criterion.
Which means :
▪︎Angle S = Angle S
▪︎PS = PS
▪︎QS = RS
Given :
Measure of segment QS = 6n+3
Measure of segment RS = 4n+11
Thus :







Thus, the value of n = 4
Measure of segment QS :




Thus, measure of QS = 27
Measure of RS :




Measure of QR :


Thus :
▪︎QS = 27
▪︎RS = 27
▪︎QR = 54
Therefore, the correct options are :
▪︎(C) SR = 27
▪︎(D) QR = 54
35 = 45 - n
think of it as money
45 dollars take away how many (n) = 35 dollars
45 - n =35
or you can subtract 45 from both sides
-n = 35-45
-n = -10
divide by -1 from both sides
n = 10
Answer: 27
Step-by-step explanation:
Since we are informed that Gianna practices penalty kicks and that she made 18/24 of her penalty kicks yesterday, this will be converted to its simplest form which will be:
= 18/24 = 3/4 .
If she plans on shooting 36 penalty kicks, the number of penalty kicks that Gianna would have to make to successfully shoot an equivalent fraction as yesterday will be:
= 3/4 × 36
= 3 × 9
= 27 penalty kicks.
y is
. This is because in a 30-60-90 triangle, the side facing the 30° is always half of the side facing the 90°
x is always √3 times y, so x=24. Therefore, the answer is the second answer choice.