Two angles are complementary when they add up to 90 degrees<span>
</span>Two angles are supplementary when they add up to 180 degrees
angle = x
supplementary angle = (180-x)
complementary angle = (90-x)
180 - x - 40 = 2(90-x)
140 - x = 180 - 2x
-x + 2x = 180 - 140
x = 40°
Answer: 102 children and 41 adults swam at the pool that day.
Step-by-step explanation:
Let x represent the number of children that swam at the public pool that day.
Let y represent the number of adult that swam at the public pool that day.
On that certain hot summer's day, 143 people used the public swimming pool. It means that
x + y = 143
The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $219.75. It means that
1.25x + 2.25y = 219.75- - - - - - - - -1
Substituting x = 143 - y into equation 1, it becomes
1.25(143 - y) + 2.25y = 219.75
178.75 - 1.25y + 2.25y = 219.75
- 1.25y + 2.25y = 219.75 - 178.75
y = 41
x = 143 - y = 143 - 41
x = 102
Answer:
The same shape but not the same size
Step-by-step explanation:
If two figures have the same shape <em>and</em> the same size, they are defined as congruent.
As long as all the angles and sides are proportionally <em>similar</em> then the shapes have similarity.
55 mph minus 40 mph = 15 miles distance for each hour
So 5 hours * 15 = 75 miles difference after 5 hours
Answer:15
Step-by-step explanation:So Adam is 20 years old, and Neil is 5 years younger so is 20 - 5 = 15 years old. The ratio of Adam's age to Neil's age is 20:15, or 4:3.
