The following statements are true for a parallelogram that must be a rectangle.
parallelogram with a right angle
parallelogram with congruent diagonals
A Parallelogram is a flat shape with opposite sides parallel and equal in length. Squares, rectangles and rhombuses are all parallelograms but with slight differences.
(AAA) Corresponding angles are congruent.
Therefore, the sides of the triangles are proportional:
cross multiply
use distributive property
subtract 100 from both sides
divide both sides by 100
![x=5](https://tex.z-dn.net/?f=x%3D5)
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(SAS)
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
Therefore we have the equation:
![3y-2=y+4\qquad|+2\\\\3y=y+6\qquad|-y\\\\2y=6\qquad|:2\\\\y=3](https://tex.z-dn.net/?f=3y-2%3Dy%2B4%5Cqquad%7C%2B2%5C%5C%5C%5C3y%3Dy%2B6%5Cqquad%7C-y%5C%5C%5C%5C2y%3D6%5Cqquad%7C%3A2%5C%5C%5C%5Cy%3D3)
The perimeter of △PQR:
![P=4+6+3y-2=8+3y](https://tex.z-dn.net/?f=P%3D4%2B6%2B3y-2%3D8%2B3y)
Substitute the value of y to the expression:
![P=8+3(3)=8+9=17\ ft](https://tex.z-dn.net/?f=P%3D8%2B3%283%29%3D8%2B9%3D17%5C%20ft)
Add 6 to both sides
2m2+7m+6=0
Answer:
P(x) = 45/100 = 0.45
Mean sample distribution = probability x number sampled by the survey.
Mean sample distribution = 0.45 x 800 = 360.00 to two decimal places.
Step-by-step explanation:
Convert the percentage to decimal probability.
45%. P(x) = 45/100 = 0.45
If there are ranges of probability values, we construct a probability distribution table. This is not necessary in the case of one probability value(45%)
Multiply the probability by the number adults to be surveyed on whether they have received phishing emails.
0.45 x 800 = 360.
Here, we assume that the 45% recorded by 2005 data, is still valid for the recent trends.
<u>Solution-</u>
Fuel consumption rate = 40 miles per UK gallon (As the car is manufactured in UK)
1 UK gallon = 4.5459631 lit
1 US gallon = 3.7853060 lit
![\therefore \frac{1 \ UK \ gallon}{1 \ US \ gallon} = \frac{4.5459631}{3.7853060} = 1.2009499](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cfrac%7B1%20%5C%20UK%20%5C%20gallon%7D%7B1%20%5C%20US%20%5C%20gallon%7D%20%3D%20%5Cfrac%7B4.5459631%7D%7B3.7853060%7D%20%3D%201.2009499)
![\Rightarrow 1 \ UK \ gallon = 1.2009499 \ US \ gallon](https://tex.z-dn.net/?f=%5CRightarrow%201%20%5C%20UK%20%5C%20gallon%20%3D%201.2009499%20%5C%20US%20%5C%20gallon)
As the fuel consumption rate = 40 miles per gallon
⇒ You need 1 UK gallon of fuel to go 40 miles
⇒ You need 1.2009499 US gallon of fuel to go 40 miles
Or you can say that, to go 40 miles you need 1.2009499 US gallon of fuel
⇒ To go 1 mile you will need ![\frac{1.2009499}{40} = 0.0300237](https://tex.z-dn.net/?f=%5Cfrac%7B1.2009499%7D%7B40%7D%20%3D%200.0300237)
⇒ To go 738 miles you will need 0.0300237×738 = 22.1574906 US gallon of fuel
∴ 22.1574906 gallon of fuel is actually required.
∴ But, what she thinks will require is
(As she calculated using UK gallons)