Answer:
1. B 2. B 3. D 4. A 5. A 6. A 7. B 8. C
Step-by-step explanation:
1. 6 and 8 are right next to each other. Making them 'adjacent angles' as 'adjacent' means 'next to'
2. 2 and 3 are vertically opposite angles, and these angles are equal to each other
3. 3 and 6 are alternate angles. These angles form a 'Z' shape
4. Similar to q2, 1 and 4 are vertically opposite angles
5. Yes they are similar because there are two angles which equal
6. The angles of the big triangle will correlate to the small triangle, therefore x is 40
7. Similar triangles will have the same angles. The top angle of the small triangle is 60, as stated in the big triangle, and 70 is given. The sum of interior angles of a triangle is 180. So, add 60 and 70, then minus from 180
8. Again, same concept as q7, the angles are given to you and you just need to correspond each angle to its respective area, then minus the total of the two given angles from 180
Hope this helped you!!
Answer and Explanation:
Brielle will run the marathon faster.
Work:
Brielle: 13.1/1.25=10.48*10=104.8 minutes
Joshua: 13.1/1.5=8.73...*18=157.2 minutes
Brielle finished in 104.8 minutes.
Joshua finished in 157.2 minutes.
Brielle finished the half marathon race by 52.5 minutes faster than Joshua.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer: 72 miles.
Step-by-step explanation:
We know the relationship:
Distance = speed*time.
Then we can write the equation for distance as a function of time for Ali as:
A(t) = 12mph*t
where t is time in hours.
Fatimah's equation will be:
F(t) = 18mph*(t - 2h)
where the -2h appears because she starts two hours after Ali.
Fatimah will overtake Ali when F(t) = A(t) (their positions are the same)
Then we need to solve:
12mph*t = 18mph*(t - 2h)
12mph*t = 18mph*t - 18mph*2h
12mph*t = 18mph*t - 36 mi
36 mi = (18mph - 12mph)*t
36mi = 6mph*t
36mi/6mph = t
6h = t
So Ali travels for 6 hours before he gets overtaken, then the total distance that Ali travels is:
A(6h) = 12mph*6h = 72 mi
Answer:
see explanation
Step-by-step explanation:
Given that the the difference of cubes is
a³ - b³ = (a - b)(a² + ab + b²)
Given
64
- 27 ← a difference of cubes
with a = 4x² and b = 3, thus
= (4x²)³ - 3³
= (4x² - 3)(16
+ 12x² + 9) ← in factored form
Take the .5 of the 17.5 and convert it to a fractin.
we know .5 is equal to 50% or 1/2
now we have a mixed number
in order to convert it into an improper fraction you need to multiply the whole number by the denominator and then add the numerator all while keeping the denominator constant.
so
