Answer:
Step-by-step explanation:
To solve this, we are going to make an age table:
Age Now Age 10 years ago
Tanya
Elliot
Filling the in the Age Now column comes from the first sentence. If Elliot is 2 times Tanya's age and we don't know Tanya's age, then Tanya's age is x and Elliot's age is 2x:
Age Now Age 10 years ago
Tanya x
Elliot 2x
Filling in the Age 10 years ago column simply requires that we take their ages in the Age Now column and subtract 10 from each age:
Age Now Age 10 years ago
Tanya x x - 10
Elliot 2x 2x - 10
Since the question is How old is Elliot now based on the fact that 10 years ago....blah, blah, blah, we are using the ages in the 10 years ago column to write our equation. It says:
10 years ago, Elliot was 4 times as old as Tanya. Translated into mathspeak:
2x - 10 = 4(x - 10) and
2x - 10 = 4x - 40 and
-2x = -30 so
x = 15. That means that Elliot is 30 and Tanya is 15
X = 26 because all the angles in a triangle add up to 180.
Answer:
18.9
Step-by-step explanation:
361-4 = 357
the root of 357 is 18.9 when rounded
Answer:
x=0
x=-1
x=-5
Step-by-step explanation:
To find the roots, we set the equation equal to zero and factor.
x(x²+6x+5)=0 [factor]
x(x+1)(x+5)=0 [set each factor equal to 0]
x=0
x+1=0 [subtract both sides by 1]
x=-1
x+5=0 [subtract both sides by 5]
x=-5
Now, we have found three roots, x=0, x=-1, x=-5.
Answer:
Step-by-step explanation:
the triangles are similar, also is a right triangle
therefore
16/8=10/x
x=(8*10)/16=5
x=5
