Find the value of n. 22n=418
2 answers:
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For problems like these, it's very helpful for looking at key words. 'How many more' suggests that one value is greater than the other by a certain amount, which means subtraction. Let's do the same for this equation.
If 165 is m greater than 130, then this means .
This will also mean that m is 130 less than 165. To solve this, isolate the variable and subtract 130 from both sides:
We will end up with m = $35. To prove this, plug 35 into the m value as shown below:
, so the answer is $35 more is needed.
Answer:
The completed two column proof is presented as follows;
Statement Reason
1. AC bisects ∠A and ∠C 1. Given
2. ∠ACB ≅ ∠ACD 2. Definition of bisector
3. ∠BAC ≅ ∠DAC 3. Definition of bisector
4. =
4. Reflexive PE
5. ≅
5. Segments with equal lengths are congruent
6. ΔABC ≅ ΔADC 6. By ASA
Step-by-step explanation:
The completed two column proof is presented as follows;
Statement
1. AC bisects ∠A and ∠C; The given data on the figure
2. ∠ACB ≅ ∠ACD; A bisected angle is divided into two equal angles which are congruent to each other
3. ∠BAC ≅ ∠DAC 3. Definition of bisector
4. =
4. Reflexive Property of Equality (PE)
5. ≅
5. Segments with equal lengths are congruent
6. ΔABC ≅ ΔADC 6. By Angle-Side-Angle, ASA, is a condition for congruency of two triangles
Where two angles and the included side between the two angles on one triangle are equal to two angles and the included side between the two angles on another triangle, the two triangles are said to be congruent by the Angle-Side-Angle ASA rule and therefore, they each have equal measures for all corresponding angles sides.