Answer:

Step-by-step explanation:
In the diagram below we have
ABCD is a parallelogram. K is the point on diagonal BD, such that

And AK meets BC at E
now in Δ AKD and Δ BKE
∠AKD =∠BKE ( vertically opposite angles are equal)
since BC ║ AD and BD is transversal
∠ADK = ∠KBE ( alternate interior angles are equal )
By angle angle (AA) similarity theorem
Δ ADK and Δ EBK are similar
so we have


( ABCD is parallelogram so AD=BC)
( BC= BE+EC)


( subtracting 1 from both side )

taking reciprocal both side

If you would like to solve the equation b^2 + 9 * b + 18 = 0 for the variable b, you can do this using the following step:
b^2 + 9 * b + 18 = 0
(b + 3) * (b + 6) = 0
Result:
1. solution: b = - 3
2. solution: b = - 6
Answer:
3x-4 = x+10
x = 7
Follow through with the words and then simplify.
The answer is D
Because, if there is 50 calories in 4 ounce serving of juice, then you do how many times 4 equals 12. 3 times 4 equals 12. so you will use 3 to multiply by 50 and you get 150 calories in 12 ounces.
Answer:
Lemmy ; 2 7/8 miles
Step-by-step explanation:
Given that :
Distance walked by Lemmy:
Saturday = 3 1/2 miles
Sunday = 4 3/4 miles
Total distance walked by Lemmy:
3 1/2 + 4 3/4
7/2 + 19/4
(14 + 19) / 4
33 / 4
= 8 1/4
Miles walked by Ronnie : 5 3/8
Lemmy walked farther because : 8 1/4 > 5 3/8
Number of distance walked farther than Ronnie :
8 1/4 - 5 3/8
33/4 - 43/8
(66 - 43) / 8
= 23/ 8
= 2 7/8 miles