Answer:
Answer 1; Angles forming a linear sum to 180°
Answer 2; Substitution
Answer 3; Definition of perpendicular lines
Step-by-step explanation:
The two column proof is presented as follows;
Statement
Reason
1. ∠SWT ≅ ∠TWU
Given
2. m∠SWT + m∠TWU = 180°
Angles forming a linear sum to 180°
3. m∠SWT + m∠SWT = 180°
Substitution
4. m∠SWT = 90°
Algebra
5.
⊥
Definition of perpendicular lines
Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines
and
m∠SWT = 90°, therefore, the lines
and
are perpendicular to each other.
Answer: 3 stickers
Step-by-step explanation:
From the question, we know that Pippa's 8 friends have an equal amount of stickers, meaning that the number of stickers that Pippa gave out is a multiple of 8.
Also, we are able to know that Pippa gave as much as she can, meaning that she gave out the stickers until the number is the maximum multiple of 8.
First Five Multiple of 8 = 8, 16, 24, 32, 40
As we can see from the list, 8, 16, and 24 are all multiples of 8, but they are not the maximum number that could fit under 35 stickers. Similarly, 40 exceeds the number of stickers Pippa has. Thus, we are left with 32.
This means, Pippa gave out 32 stickers in total, and each friend got 4 stickers.
Also, this means Pippa would keep <u>3 stickers</u> for herself.
Hope this helps!! :)
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Answer: C
Step-by-step explanation:
Answer:
98^91
Step-by-step explanation:
Since the base of all the numbers is 98,
the LCM is simply the one with the greatest exponent
example
98^53 * 98^38 = 98^91