Answer:
Katie is 6 years old and Thomas is 3 years old
Step-by-step explanation:
Given that we should let K and T be the current ages of two siblings, Katie and Thomas.
If Katie is currently twice the age of Thomas then,
K = 2T
and in 6 years, Katie will be 4 times Thomas's current age then
K + 6 = 4T
Solving both equations simultaneously by substituting the value of K given in the first equation into the second
2T + 6 = 4T
Collect like terms
6 = 4T - 2T
6 = 2T
Divide both sides by 2
T = 3
Recall that K = 2T
K = 2 * 3
= 6
Hence Katie is 6 years old while Thomas is 3 years old
we are supposed to find
Which of these properties is enough to prove that a given parallelogram is also a Rectangle?
As we know from the theorem, if the diagonals of a parallelogram are congruent then the parallelogram is a rectangle.
The other options The diagonals bisect each other is not sufficient because in parallelogram diagonals always gets bisected , parallelogram becomes rectangles only if both the diagonals are of same length.
In a parallelogram The opposite angles and opposite sides are always equal.
Hence the correct option is
The diagonals are congruent.
Answer: $324
Step-by-step explanation:
i=prt
i=(6000)(.054)(1)
i=324
If there are 16 cups in one gallon, each gallon u add 16. If you have 3 gallons you add 16 3 times. So to get your answer you multiply 16 by three which is 48 cups.
Given expressions:
Area of a rectangle = L W
Area of a triangle = 
Problem;
Create problems using the formula;
Solution:
Problem 1; Find the area of a rectangle whose length is 10cm and the width is half the size of the length?
Given parameters:
Length of rectangle = 10cm
Width of rectangle = 
x length = x 10 = 5cm
So, the area of the rectangle = 10cm x 5cm = 50cm²
2. A triangle with a base length of 30cm and a height of 2cm will have an area of what?
Given parameters:
base length = 30cm
height = 2cm
Solution:
Area of a triangle = x b x h
Area of a triangle = x 30 x 2 = 30cm²
The area of the triangle will be 30cm²
