Answer:
PQ = 34.4
Step-by-step explanation:
First, we know that the angles in a triangle add up to 180 degrees. Therefore, angle M = 48 and angle R = 74
Next, because there is a corresponding angle in each triangle, they are similar. This means that the ratios between corresponding sides are the same. For example, the side opposite angle O (MN) over the side opposite angle R (PQ) is equal to the side opposite angle N (OM) over the side opposite angle Q (RP)
This can be written as MN/PQ = OM/RP. Note that both the numerators are on the same triangle, and MN and PQ correspond, as well as OM and RP.
We are given MN, NO, and QR. Because NO is opposite a 48 degree angle (angle M) as well as QR (angle P), we can say that NO/QR = another ratio of a pair of corresponding sides. Because we want to find PQ, and both PQ and MN are opposite 74 degree angles, we can say that
NO/QR = MN/PQ
Thus,
11/27 = 14/PQ
multiply both sides by PQ to remove a denominator
PQ * 11/27 = 14
multiply both sides by 27 to remove the other denominator
PQ * 11 = 14 * 27
divide both sides by 11 to isolate the PQ
PQ = 14 * 27 /11
PQ = 34.4
Answer: 24cm²
Step-by-step explanation:
Let square with length 5cm be represented with A, and square with 7cm be represented with B.
Area of a square is L²
Square A will have an area of 5² = 25cm²
Square B will have an area of 7² = 49cm²
Total area between the two squares will be = Area of Square (B - A)
i.e.
Total Area = 49cm² - 25cm² = 24cm²
Answer:
27
Step-by-step explanation:
To evaluate f(8) substitute x = 8 into f(x)
f(8) = 
× 8² - (
× 8 + 3)
= × 64 - (2 + 3)
= 32 - 5
= 27
This is an unanswerable question there are no graphs for us to look at.
But if the points are scattered randomly and you can’t make up if it’s going left to right or right to left then it’s no correlation.
