Answer:
Option B) ∠DCE is congruent to ∠BCA by the Vertical Angles Theorem and 15 over 5 equals 12 over 4 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SAS Similarity Postulate
Step-by-step explanation:
we know that
The SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
we have that
m∠DCE≅m∠BCA -----> by vertical angles
substitute the values
----> is true
so
Two sides in triangle ABC are are proportional to two sides in triangle EDC and the included angle in both triangles are congruent
therefore
ΔABC and ΔEDC are similar by SAS Similarity Postulate
Your answer is going to be y = l x - 2 l
2 Would be the answer.
Hope that helps!!
To answer this item, we may use the concept of substitution such that we substitute y of the second equation to y of the first equation.
2(6x - 2) = 3x - 14
Simplifying,
12x - 4 = 3x - 14
x = -10/9
Calculating for the value of y,
y = 6(-10/9) - 2
y = -26/3
The solution of the system of linear equation is then (-10/9, -26/3).
Answer:
Step-by-step explanation:
Let's look at this in this perspective. There are 60 minutes in 1 hour. What I would do first is get rid of the 39 minutes at the end of 8:39. Now you have 8:00. Count until you get to 7 AM. 9, 10, 11, 12, 1, 2, 3, 4, 5, 6, 7. That's 11 hours from 8 PM to 7 AM. 60 x 11 = 660. Now, there are 11 minutes more on that 7-o clock and the 39 minutes we got rid of in the beginning. 11 + 39 = 40. 660 + 40 = 700.
Answer: Kenny's energy was off for 700 minutes, or 11 hours and 40 minutes.