Answer:
The triangles are congruent by
SSS
Step-by-step explanation:
Given:
First Label the Diagram:
AB ≅ CD
AD ≅ BC
To Prove:
Δ ABC ≅ Δ CDA
Proof:
In Δ ABC and Δ CDA
AB ≅ CD ....……….{Given}
BC ≅ DA …………..{Given}
AC ≅ AC ……….{Reflexive Property}
Δ ABC ≅ Δ CDA ….{ By Side-Side-Side test}
The slope of diagonal <em>AB</em> is 0 and its equation is y=2.
Answer:
See below
Step-by-step explanation:
1..........................
Add –5; 2.7; 7 to both sides
- 18 -5 > -7 - 5 ⇒ 13 > -12
- 18 + 2.7 > - 7 + 2.7 ⇒ 20.7 > - 43
- 18 + 7 > -7 + 7 ⇒ 25 > 0
2..........................
Subtract 2; 12; -5 from both sides
- 5 - 2 > -3 -2 ⇒ 3 > - 5
- 5 - 12 > -3 - 12 ⇒ -7 > -15
- 5 -(-5) > -3 - (-5) ⇒ 10 > 2
3..........................
Multiply both sides by 3; −3; −1
<em>When multiplying both sides of inequality by positive number the sign stays as is, when multiplying both sides of inequality by negative number the sign reverses</em>
- -9 *3 < -6*3 ⇒ -27 < - 18
- -9*(-3) > -6*(-3) ⇒ 27 > 18
- -9*(-1) > -6*(-1) ⇒ 9 > 6
Answer:
x = 0
, y = 7/6
Step-by-step explanation:
Solve the following system:
{18 y - 12 x = 21
6 x - 9 = -9
In the second equation, look to solve for x:
{18 y - 12 x = 21
6 x - 9 = -9
Add 9 to both sides:
{18 y - 12 x = 21
6 x = 0
Divide both sides by 6:
{18 y - 12 x = 21
x = 0
Substitute x = 0 into the first equation:
{18 y = 21
x = 0
In the first equation, look to solve for y:
{18 y = 21
x = 0
Divide both sides by 18:
{y = 7/6
x = 0
Collect results in alphabetical order:
Answer: {x = 0
, y = 7/6
