ΔABC is a 45 - 45 - 90 triangle. The pattern of its sides is as follows:
Each leg = 1 unit (and both legs are that way, since the triangle is isosceles - so two sides are the same)
Hypotenuse = √2 units.
So if we know either leg, we multiply by √2 to get the hypotenuse. In reverse, we divide by √2 if we know the hypotenuse to get the measurement of a leg.
Our problem tells us that the hypotenuse AC is 10 units. We divide 10 by √2 to get the measurement of leg AB. Since it's a 45 -45 - 90 triangle, AB = BC.

to rationalize the radical

Thus, each leg is 5\sqrt{2} [/tex].
Answer:
I'm pretty sure you start off with the dot at -3,
then go up 2 times,
and go right 3 times.
then put the dot there.
then you can put your line down.
Step-by-step explanation:
Answer:
Part 1. 50 and 17 denotes that he earns $50 for each shift he works at the dinner and $17 for each dog-walking job.
Variable x denotes the number of shifts at the dinner and y variable denotes the number of dog -walking job.
Part 2. The income from shift of work at the diner that is 50x, and the income from dog walking work that is 17y.
Part 3. The total income from the diner is given by 50x.
Step-by-step explanation:
Each week, Aubrey earns $50 for every shift he works at the diner and $17 for every dog-walking job.
He uses the expression (50x + 17y) to keep track of his earning.
Part 1. Here the coefficient of the expressions 50 and 17 denotes that he earns $50 for each shift he works at the dinner and $17 for each dog-walking job.
And the variable x denotes the number of shifts at the dinner and y variable denotes the number of dog -walking jobs.
Part 2. Therefore, there are two terms in the expression, one is the income from the shift of work at the diner that is 50x and the other is the income from dog walking work that is 17y.
Part 3. The total income from the diner is given by 50x. (Answer)
nswer:
B
C
=
24
Explanation:
The triangle is isosceles, because (from the diagram) ∠
A
B
C
=
∠
A
C
B - note how the angle there is marked on both of these. If these angles are equal, this means that the sides
A
C
=
A
B
let A
C
=
A
B
x
+8=2x-1
8
=
x
−
1
x
=
9
We want to find the length of
B
C
, which is (
3
x
−
3
)
. We know that x
=
9
B
C
=3
x
−
3
B
C
=
3
(
9
)
−3
B
C
=
27
−
3
B
C
=
24