Answer:
14 us cups
Step-by-step explanation:
Answer: Triangle ABC is similar to triangle EDC because Measure of angle 3 equals measure of angle 4 and Measure of angle 1 equals measure of angle 5
Step-by-step explanation:
Given: 
, 
Where AE and BD are the common transversals of parallel lines AB and DE,
Also, Angle CAB is labeled 1, angle ABC is labeled 2, angle ACB is labeled 3, angle DCE is labeled 4, angle CDE is labeled 6, and angle CED is labeled 5.
Thus, 
( Vertically opposite angles )
( Alternative interior angle theorem)
Thus, By AA similarity postulate,
Hence, proved.
Second Option is correct.
Answer:
- Mix A is 2 units
- Mix B is 1 unit
- Mix C is 3 units
Step-by-step explanation:
Let amount of Mix A is a, Mix B is b, Mix C is c.
<u>With the given details, we get the following system</u>
- 5a + 6b + 4c = 28
- 4a + 2b + c = 13
- 3a + 4b + 4c = 22
Find the value of c (the easiest one) for substitution
Substitute c into the first equation
- 5a + 6b + 4(13 - 4a - 2b) = 28
- 5a + 6b + 52 - 16a - 8b = 28
- - 11a - 2b = 28 - 52
- 11a + 2b = 24 (5)
Substitute c into the third equation
- 3a + 4b + 4(13 - 4a - 2b) = 22
- 3a + 4b + 52 - 16a - 8b = 22
- - 13a - 4b = 22 - 52
- 13a + 4b = 30 (6)
Double the equation (5) and subtract (6), find the value of a
- 2(11a + 2b) - 13a - 4b = 2(24) - 30
- 22a - 13a = 48 - 30
- 9a = 18
- a = 2
Find b
- 11*2 + 2b = 24
- 22 + 2b = 24
- 2b = 2
- b = 1
Now find c
- c = 13 - 4*2 - 2*1
- c = 13 - 8 - 2
- c = 3
The equation for speed is s=d/t, s=276/6.5. Then, you divide 276 in 6.5: s is approximately 42 miles/hour. So, he drove 12 miles/hour faster getting there than coming back home.
