Answer:
Statement 1: UV ║ WZ
Statement 2: Points S,Q,R and T are all lie on the same plane.
Statement 3: m<SQT=180 deg
Statement 4: m<SQV + m<VQT = m<SQT
Statement 5: m<SQV + m<VQT = 180 deg
Now, the next statement is as:
Statement 6: which is statement III.
(Same side interior angles theorem) m<VQT + m<ZRS = 180 deg
Statement 7: which is statement II.
(Substitution property of equality)
m<SQV + m<VQT = m<VQT + m<ZRS
Statement 8: m<SQV + m<VQT - m<VQT = m<VQT + m<ZRS - m<VQT
which is statement I.
(Subtraction property of equality)
So, the correct order of the given reasons to complete the proof is III, II, I.
Step-by-step explanation:
Answer:
- SAS
- ASA
- AAS
- HL
- SSA (conditionally — see below)
Step-by-step explanation:
Of the 5 triangle congruence theorems, the only one that cannot be used is SSS, which requires you know all three sides.
If you don't know all three sides, you must know at least one angle, at least one side, and at least one additional angle or side (see below).
___
If the sides you know (in relation to the angle you know) are SSA, then <em>the first side (opposite the angle) must be known to be the longest</em>, or congruence is not assured. This is why SSA is not usually listed among the congruence theorems. (However, HL is a version of this, as the right angle will be opposite the longest side.)
1. 12 per game
2. 1 game costs 20$
<h2>
Answer:</h2>
Shown in the explanation
<h2>
Step-by-step explanation:</h2>
Recall that an implicit function is a relation given by the form:
Where 
is a function of two or more variables. In this case, that function is:
and is implicit because we can define it as:
having two variables.
So, let's take the derivative:
Applying chain rule:
But:
Therefore:
Isolating 
:
When 
:
Answer:
No solution
Step-by-step explanation:
1. Multiply the parenthesis by -10
2. Collect like terms
3. Cancel equal terms
4. You're left with -20=13, which is false. There is no solution.
