Answer:
x = 
Step-by-step explanation:
We know that;
The triangle is isosceles, and the hypotenuse is x, the un-labeled side is 5.
Therefore we can say;
5² + 5² = x²
25 + 25 = x²
50 = x²
= x
We can simplify this further;
= 
= 
Hope this helps!
Answer:
Oof
Step-by-step explanation:
Mom gave $ 320 to each girl
<u>Solution:</u>
Given that Lily and Elsa are both college students
Before mom gave them this months allowance lily had $750 and Elsa had &215
<em><u>So amount with Lily and Elsa already is:</u></em>
amount with Lily = $ 750
amount with Elsa = $ 215
After mom gave each girl an equal amount of money for this months allowance, lily had twice as much money as Elsa
Let "a" be the equal amount of money which mom gave to Lily and Elsa
<em><u>So now amount with Lily and Elsa after mom gave equal amount is:</u></em>
amount with Lily = amount with Lily already + a
amount with Lily = 750 + a
amount with Elsa = amount with Elsa already + a
amount with Elsa = 215 + a
<em><u>Now given that lily had twice as much money as Elsa</u></em>
Amount with lily = 2(amount with elsa)
750 + a = 2(215 + a)
750 + a = 430 + 2a
2a - a = 750 - 430
a = 320
Thus mom gave $ 320 to each girl
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
In the right triangle ABC
we know that
The triangle ABC is a 
so
Is an isosceles right triangle
The legs are equal
therefore
AC=AB

step 2
Find the length side BC
Applying the Pythagorean Theorem]



step 3
Find the value of y
In the right triangle BCD
----> by SOH (opposite side divided by the hypotenuse)

Remember that

so

step 4
Find the value of z
In the right triangle BCD
----> by CAH (adjacent side divided by the hypotenuse)

Remember that

so
