Answer:
x = 4
Step-by-step explanation:
First you need to multiply both sides of the equation by -6/5
-6/5 × (-5/6x) = -6/5 × -10/3
Then you need to calculate and reduce. First, you'll reduce the numbers with the greatest common divisor, 6.
1/5 × 5x = -6/5 × (-10/3)
then reduce the greatest common divisor, 5
x = -6/5 × (-10/3)
Then multiply (multiplying two negatives equals a positive)
x = 6/5 × 10/3
reduce the greatest common divisor, 3
x = 2/5 × 10
reduce the greatest common divisor, 6
x = 2 × 2
x = 4
(i know this is confusing, sorry)
Answer:
D) x = 4, y = -2, z = 3
Step-by-step explanation:
x = 3z − 5
2x + 2z = y + 16
2(3z - 5) + 2z = y + 16
6z - 10 + 2z = y + 16
8z = y + 26 ---> (A)
7x − 5z = 3y + 19
7(3z - 5) - 5z = 3y + 19
21z - 35 - 5z = 3y + 19
16z = 3y + 54 ---> (B)
8z = y + 26
16z = 3y + 54
2(y + 26) = 3y + 54
2y + 52 = 3y + 54
y = -2
8z = -2 + 26
8z = 24
z = 3
x = 3(3) - 5
x = 4
Ok so to find which sides are congruent we need to know their lengths.
To find the length we need the distance formula between two point ->
√(X2-X1)∧2 +(Y2-Y1)∧2
Ok lets find the first side PQ
P(-1,3) Q(2,-1)
X1 Y1 X2 Y2
√(2-(-1)∧2 + (-1-3)∧2 = 5
Now PR
P (-1,3) R (5,3)
X1 Y1 X2 Y2
√(5-(-1))∧2 + (3-3)∧2) = 6
Now the last side QR
Q (2, -1) R (5,3)
X1 Y1 X2 Y2
√(5-2)∧2 + (3-(-1))∧2 = 5
From the above work we see that PQ and QR are congruent becuase they are equal PQ=QR
Also the opposite angles of these sides are congruent. Hope this helps :).
Answer:
B , meters is smaller
B , grams is smaller
Step-by-step explanation:
