Answer:
AAS Theorem
Step-by-step explanation:
we can see that
angle ZVY ≅ angle WVY
angle VZY ≅ angle VWY
side VY shared by both triangles.
by Angle- Angle- SIde (AAS), the triangles are congruent.
Answer:
154,897
Step-by-step explanation:
Labradors were
6997 MORE than 15 TIME Danes
So, first, what is 15 times Danes??
Given 9860 Danes, fifteen times Danes would be:
9860 * 15 = 147,900
Now, 6997 MORE to that, it would be:
147,900 + 6997 = 154,897
Thus,
There were 154,897 registered Labrador Retrievers
The LCM for 4 and 9 is 36
Answer:
Current speed is 40mph
Step-by-step explanation:
We firstly need to know what is intended by upstream and downstream. When the boat travels in the direction of the current (horizontal movement of the water), we say it is moving downstream otherwise it is moving upstream.
Let's assume the speed of the boat is A and that of the current is B, then the speed when it moves dowstream would be A + B and the speed if it moves upstream would be A – B.
In this question, we know that the speed of the boat is 40mph. Given that it takes the same time to travel 8miles upstream as it does to travel 24miles downstream, we have
Speed upstream = 8/t
Speed downstream = 24/t
Respectively.
Let speed of current be X, then
Speed downstream = 40 + X
Speed upstream = 40 – X
From the question we have:
(40 + x)/24 = (40 – X)/8
(40 + x)/3 = (40 – x)/1
3(40 – x) = 40 + X
120 – 3x = 40 – X
120 – 40 = 3x – X
2x = 80
X = 40.
Therefore, current speed is 40mph
Answer:
No solutions
Step-by-step explanation:
The slope is the same (3) The y-intercepts are different. Therefore, these are different parallel lines.
