Answer:
All angles are 113 or 67. See below for each angle measure.
Step-by-step explanation:
Parallel lines cut by a transversal have several angle relationships which can be used to find an unknown angle measure:
• Alternate Interior Angles are angles across the transversal between pairs of parallel lines. These angles are congruent. Example: 8 and 4 are congruent and are pairs of alternate interior angles. 7 and 3 are another set.
• Alternate Exterior Angles are angles across the transversal outside of the parallel lines. These angles are congruent. Example 1 & 5 are congruent alternate exterior angles. 2 and 6 are another set.
• Supplementary angles are angles which form a line and add to 180. If angle 1 + angle 2 = 180 and angle 1 = 113, then 113 + Angle 2 =180. Angle 2 must be 67 degrees.
• Vertical angles are angles across a vertex. They are congruent. Example: Angle 2 and Angle 8 are both 67.
Using these relationships, the following angles have the following measures:
Angle 1 = 113
Angle 2 = 67
Angle 3 = 113
Angle 4 = 567
Angle 5 =113
Angle 6 = 67
Angle 7 = 113
Angle 8 = 67
Length = w+3
P = 2L +2W
50 = 2(w+3) + 2w
50 = 2w +6 +2w
50 = 4w +6
50-6 =4w-6
44 = 4w
44/4 = 4w/4
w = 11
l = 11+3
l = 14
50 = 2L+2W
50 = 2(14) + 2(11)
50 = 28 +22
50=50
Answer:
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Step-by-step explanation:
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Simple Interest = Principal * Interest Rate * Term
Total Amount = Principal + Simple Interest
<span>
<span>
</span><span><span>
# Principal Interest rate term Interest Total balance
</span><span> 1
<span> 100.00 </span>6% 1
<span> 6.00 </span>
<span> 106.00
</span></span><span> 3
<span> 100.00 </span>6% 2
<span> 12.00 </span>
<span> 112.00
</span></span><span> 5
<span> 100.00 </span>6% 3
<span> 18.00 </span>
<span> 118.00
</span></span><span> 7
<span> 100.00 </span>6% 4
<span> 24.00 </span>
<span> 124.00
</span></span><span> 9
<span> 3,000.00 </span>5% 3
<span> 450.00 </span>
<span> 3,450.00
</span></span><span>10
<span> 4,000.00 </span>6% 3
<span> 720.00 </span>
<span> 4,720.00
</span></span><span>11
<span> 10,000.00 </span>4% 3
<span> 1,200.00 </span>
<span> 11,200.00
</span></span><span>13
<span> 10,000.00 </span>6% 4
<span> 2,400.00 </span>
<span> 12,400.00
</span></span><span>14
<span> 10,000.00 </span>6% 5
<span> 3,000.00 </span>
<span> 13,000.00 </span>
</span></span></span>
5 rows were added to pattern B