Answer:
AD ≅ BC | Given
AD ║ BC | Given
AC ≅ AC | Reflexive Property
∠DAC ≅ ∠ACB | If 2 || lines are cut by a trans., the | alternate interior ∠s are congruent.
ΔADC ≅ ΔBCA | S.A.S Postulate
BA ≅ DC | Corresponding sides of congruent Δs
So, quad. ABCD is a ║gm | If a quad. has its opposite sides
| congruent, the quad. is a parallelogram.
Step-by-step explanation:
ALL yourr doing is just adding 8 and 36
y= 4\frac{1}{2} or y= 4.5
Answer:
1
Step-by-step explanation:
i^12
We use the rule of 4
Take the exponent and divide by 4
12/4 = 3 r0
Then look at the remainder, That is the power we use
i^0 =1
i^1 =i
i^2 = -1
I^3 = -i
It repeats
i^0 =1
Answer:
x = 12
, y = -3
Step-by-step explanation:
Solve the following system:
{2 x + 7 y = 3 | (equation 1)
x = -4 y | (equation 2)
Express the system in standard form:
{2 x + 7 y = 3 | (equation 1)
x + 4 y = 0 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x + 7 y = 3 | (equation 1)
0 x+y/2 = -3/2 | (equation 2)
Multiply equation 2 by 2:
{2 x + 7 y = 3 | (equation 1)
0 x+y = -3 | (equation 2)
Subtract 7 × (equation 2) from equation 1:
{2 x+0 y = 24 | (equation 1)
0 x+y = -3 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 12 | (equation 1)
0 x+y = -3 | (equation 2)
Collect results:
Answer: {x = 12
, y = -3
