So you need to figure out how many hours per mile you need to travel to reach your destination. If you do 320/5.5 you’ll get about 58.2 mph. However you need to round this up to 59 mph to get their in time. Hope this helped!
Answer:
x = 20
Step-by-step explanation:
These angles are equal to each other because they are vertical angles.
Hence, we can equal the two measurements together to solve for x:
3x + 50 = 6x - 10
3x + 60 = 6x
60 = 3x
20 = x
Check your work:
3(20) + 50 = 6(20) - 10
60 + 50 = 120 - 10
110 = 110
Correct
Answer: X = 27
Step-by-step explanation: If we observe very closely, we have two similar triangles in the diagram. The first one is ABC and the other triangle is EDC. Also take note that angle ACB in the first triangle is equal in measurement to angle ECD (45 degrees) in the other triangle, (Opposite angles).
Hence in triangle ECD, we have identified two angles so far which are angle 2x + 10 and angle 45. Same applies to triangle ABC, we already have two angles which are, 3x - 10 and 45.
However angle D in the second triangle is equal in measurement to angle B in the first triangle
(Alternate angles).
Hence we have a third angle in triangle ABC which is
Angle B = 2x + 10.
Therefore 3x - 10 + (2x + 10) + 45 = 180
(Sum of angles in a triangle)
3x - 10 + 2x + 10 + 45 = 180
By collecting like terms we now have
3x + 2x = 180 + 10 - 10 - 45
5x = 135
Divide both sides by 5,
x = 27
Answer:
6 pounds of coffee.
Step-by-step explanation:
First, we determine how much money she spent. 80-31.76 = 48.24
Next, we divide the money spent by the price per unit. 48.24/8.04=6
Therefore, she bought 6 pounds of coffee.
We are given
arithmetic sequence: u(1)= 124, u(2)= 117, u(3)= 110, u(4)=103
so, first term is 124
u(1)= 124
now, we can find common difference
now, we can find kth term
now, we can plug values
and we get
u(k) must be negative
so,
now, we can solve for k
so, it's closest integer value is
..............Answer
