Evaluate 6 + 2 • 3 – 1
2 answers:
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Answer:
Here, K represents the current age of Katie and T represents the current age of Thomas.
(a)
As per the statement:
Katie is currently twice the age of Thomas.
⇒ ......[1]
It is also given that in 6 years Katie will be 4 times Thomas's current age.
Subtract 6 from both sides we get;
......[2]
A system of equations that describe the situation is:
(b)
To find the solution:
equate [1] and [2] we have;
Subtract 2T from both sides we have;
Add 6 to both sides we get;
Divide both sides by 2 we have;
T = 3 years
Substitute this in equation [1] we get;
K = 2(3) = 6 years.
Therefore, the current age of Katie and Thomas are 6 years and 3 years.
Answer:
The scale factor used to go from P to Q is 1/4
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x -----> area of polygon Q
y -----> area of polygon P
we have
Find the area of polygon Q
Divide the the area of polygon Q in two triangles and three squares
The area of the polygon Q is equal to the area of two triangles plus the area of three squares
see the attached figure N 2
Find the area of triangle 1
Find the area of three squares (A2,A3 and A4)
Find the area of triangle 5
The area of polygon Q is
Find the scale factor
we have
substitute and solve for z
square root both sides
therefore
The scale factor used to go from P to Q is 1/4
