Answer:
See below ~
Step-by-step explanation:
Sides of a rhombus are equal.
⇒ QT = TS
⇒ x² - 4x - 10 = 6x + 14
⇒ x² - 10x - 24 = 0
⇒ x² + 2x - 12x - 24 = 0
⇒ x (x + 2) - 12 (x + 2) = 0
⇒ (x + 2)(x - 12) = 0
⇒ x = -2 or x = 12
Substitute both values and see which gives a positive value for QT :
<u>When x = -2</u> :
- QT = (-2)² - 4(-2) - 10
- QT = 4 + 8 - 10
- QT = 2
<u>When x = 12</u> :
- QT = (12)² - 4(12) - 10
- QT = 144 - 48 - 10
- QT = 86
The 2 possible answers are :
- x = -2, QT = 2
- x = 12, QT = 86
Answer:
The correct option is
a) Yes, because (0.95)(0.92) = 0.874
Step-by-step explanation:
An event is independent if the following condition is satisfied
Therefore, since the the probability that the answer can be found in Google = 0.95 and the probability that the answer can be found in Answers = 0.92
The probability that the answer can be found on both websites,
= 0.874
We check, P(A) × P(B) = 0.95×0.92 = 0.874 = = 0.874
Therefore, the possibilities of finding the event on the two websites is independent.
Answer:
(D) 81 feet
Step-by-step explanation:
From the figure drawn, it is given that AB is parallel to DE, in ΔABC and ΔCDE, we have
∠BAC=∠DEC(Alternate angles)
∠ACB=∠DCE(Vertically opposite angles)
Thus, by AA rule, ΔABC is similar to ΔCDE.
Since the line connecting from the whales to the sharks is parallel to the line connecting from the penguins to the fish tanks, the triangles shown in the figure are similar.
Using the property of similar triangles.
Hope this helped!!!
