Answer: A) AAS
Step-by-step explanation:
In the given picture we have two triangles ΔVUW and ΔXUY .
WV ≅ YX
∠UYX≅ ∠UYW
Also, it can be seen that ∠XUY and ∠VUW are vertical angles.
[When two lines intersects then they form two pair of angle known as vertical angles ]
Also, Vertical angles are always congruent.
⇒ ∠XUY ≅ ∠VUW
Now , in ΔXUY and ΔVUW, we have
WV ≅ YX
∠UYX≅ ∠UYW
∠XUY ≅ ∠VUW
So by AAS theorem , we have
ΔVUW ≅ ΔXUY
- AAS theorem says that if two angles and a side of a triangle are congruent to two angles and a side of another triangle then the triangles are said to be congruent.
Answer:
-1<x<1 and 1<x
Step-by-step explanation:
We are asked to determine the interval in which our function shown in the graph has positive values.
In order to do so, we have to see for what values of x on x axis, the graph is above x axis.
As we can see in the graph, when we move from x = -1 towards right, the graph is above x axis. And towards left of x=-1 , the graph is below x axis. Hence answer is
-1<x<1 and 1<x
Answer:
(10+g) -f
Step-by-step explanation:
Add 10 and g
10 +g
Subtract f from the result
(10+g) -f
Answer:
Option D. 9 mi/hr downstream, 6 mi/hr upstream
Step-by-step explanation:
<u><em>The complete question is</em></u>
Alicia can row 6 miles downstream in the same time it takes her to row 4 miles upstream. She rows downstream 3 miles/hour faster than she rows upstream. Find Alicia’s rowing rate each way
Define the variables
Let
x -----> Alicia's rowing rate downstream in miles per hour
y ----> Alicia's rowing rate upstream in miles per hour
we know that
The rate is equal to the distance divided by the time
so
The time is equal to the distance divided by the rate
we have
-----> equation A
----> equation B
equate equation A and equation B
<em>Find the value of x</em>
therefore
Alicia's rowing rate downstream is 9 mi/h
Alicia's rowing rate upstream is 6 mi/h
