Answer:
a = 32
Step-by-step explanation:
This is a right triangle and the square value of hypotenuse is equal to sum of square value of other two side lengths
68^2 = 60^2 + a^2
4624 = 3600 + a^2
4624 - 3600 = a^2
1024 = a^2 find the root for both sides
32 = a
Answer:
(3, 15 )
Step-by-step explanation:
Given the 2 equations
x + y = 18 → (1)
y = 5x → (2)
Substitute y = 5x into (1)
x + 5x = 18
6x = 18 ( divide both sides by 6 )
x = 3
Substitute x = 3 into (2) for corresponding value of y
y = 5(3) = 15
Solution is (3, 15 )
Answer:
x = -2
TU = 4
UB = 2
Step-by-step explanation:
you can add x^2 with 4x+10 and equate it to 6:
x^2 + 4x + 10 = 6
x^2 + 4x + 4
then u can use the roots formula : x = (-b ± √ (b2 - 4ac) )/2a
so it'll be x = {-4±[√16 - 4(4)]}/2
x= -2
then u can substitute it and find TU and UB
TU= (-2)^2 = 4
UB= 4(-2)+10 = 2
one of the properties of a cyclic quad (four sided shape in eucliean geometry) is that the opposite sides add up to 180°
So in this case to get x we= 180°-105°=285°
therefore x is 285°
Hope this is the answer to your question, and that u can see it lol