Answer:
You asked to solve questions 3 and 5
<h3>#3</h3>
Since CD = EF,
- 9x - 1 = 41 - 5x
- 9x + 5x = 41 + 2
- 14x = 42
- x = 3
<h3>#5</h3>
MN = NP as their perpendicular bisectors are of same length.
- 9x - 43 = 5x + 33
- 9x - 5x = 33 + 43
- 4x = 76
- x = 19
- mMP = 360 - (mMN + mNP)
- mMP = 360 - (9*19 - 43 + 5*19 + 33)
- mMP = 104
Answer:
A
Step-by-step explanation:
3(1+1)<1+6
3*2<7
6<7
3(1+0)<0+6
3*1<6
3<6
The question above may be answered through the concept of ratio and proportion. The ratio between the population of a certain city and the radius of the circle used should be proportional. Mathematically,
19465000/5 = 37691000/x₁ = 25,675,000/x₂
The values of x₁ and x₂ are 9.7 cm and 6.6 cm, respectively.
Answer:
Each apple pie requires 8 apples, and each apple tart requires 4 apples.
Step-by-step explanation:
We see that both Pamela and Nicole bake the same amount of apple pies, but different amounts of apple tarts. Because of this, we can subtract the two to try to figure out the amount of apples for each apple tart. We subtract 68 from 76, giving us 8. Nicole baked 9 apple tarts, while Pamela baked 7, and 9-7=2. So we can bake two apple tarts with 8 apples, so one apple tart requires 4 apples (we divide by 2). Now that we know the amount of apples per each apple tart, we multiply 7 apple tarts that Pamela made by 4 apples, giving us 28. We subtract that from the total amount of apples Pamela used, which was 68, giving us 40. From this we can deduct that 5 apple pies need 40 apples, and we divide by 5, giving us 1 apple pie requires 8 apples.
Answer: There are 495 possible different sets of answers the could contain exactly 8 correct answers of false.
Basically, we are looking for the number of different ways of selecting 8 objects out of a set of 12 objects. Our objects are answers of false and the set is the test.
This is a combination problem. The formula would be:
12! / (8! x 4!) = 495
