Answer:
Tanya is 20 years old
Step-by-step explanation:
Let the age of Vera = x years
The age of Linda is twice the age of Vera = 2x years
Tanya is four less than four times the age of Linda = 4(2x)-4 = 8x-4
Total age of Vera, Linda and Tanya is:
x+2x+8x-4
Combine the like terms:
11x-4
But now their total age is two more than nine times the age of Vera:
11x-4 = 9x+2
Solve the expression
Combine the like terms:
11x-9x=2+4
2x=6
Divide both the sides by 2
2x/2 = 6/2
x= 3
Thus the age of Vera is 3 years.
The age of Linda is 2x= 2*3 = 6 years
The age of Tanya is 8x-4 = 8*3 - 4 = 24-4 = 20years....
Answer:
D
Step-by-step explanation:
You have to have exactly the same thing underneath the radical. So for example in choice A you have sqrt(2) and sqrt(3) underneath the radical. They are not the same. Choice A is not the answer.
Choice B has the same problem sqrt(5) is not the same thing as sqrt(3) and choice B is not the answer.
Choice C has sqrt(5) and sqrt(6) as your choice. They are not the same. C is not correct.
D is the answer. Both choices have sqrt(7) as the radicals. They are both 7. They are the same.
The angle show with the yellow square has a measure of 90°.
Together with angles 1 and 2, they form a straight angle so we have:
∠1+∠2+90°=180°,
subtracting 90° from both sides we have:
∠1+∠2=90°
If the sum of the measures of 2 angles is 90°, the angles are called complementary.
Since the sum of the measures of angles 1 and 2 is 90°, then these 2 angles are complementary.
Answer: <span>They are complementary</span>
