Answer:
u = 40° , v = 40° and x = 100°
Step-by-step explanation:
i) from the rule of triangle we know that the sum of all three angles = 180°
ii) 100° + 40° + y = 180°. Therefore y = 40°. where y is the angle adjacent to v.
iii) from theorem on parallel lines we can say that u = y =40°
iv) from the properties of parallel lines we get v = 40° as interior alternate angles are equal.
v) again from the properties of parallel lines we get u = 40°
vi) using the triangle property as in i) we can see that u + v + x =180° therefore 40° + 40° + x = 180°. Therefore x = 100°.
vii) Therefore u = 40° , v = 40° and x = 100°
Answer:
a) Sample A
b) Sample D
Step-by-step explanation:
The sample that will provide the most significance evidence for the claim is the one that has the bigger proportion of US citizens who can name the capital city of Canada.
The sample that has the bigger proportion is Sample A, with p=38/40=0.95.
The samples that have a proportion of 0.75 of less surely will give no evidence for the claim.
The sample D has a proportion of p=27/40=0.675, which is less than 0.75, so it doesn't provide evidence for the claim.
Sample C has a proportion of 0.775. Is very close to 0.75, but its value as evidence depends on the level of significance of the test.
The simplified form of the expression 6! − 3! when it is simplify using the properties of factorial is 3!((6x5x4) − 1).
<h3>
What is the simplified form of a term?</h3>
Simplified form of a term is the simplest way of expression the term, which is obtained by applying the required operations of mathematics.
Factorial is the way to write the product of the numbers from its phase value to 1 in decreasing order. Suppose, the number is 3!. Then it can be written as,
3!=3×2×1
The expression which has to be simplified is,
6! - 3!
It can be written as,
6! - 3!
(6×5×4×3!)-3!
3!((6×5×4)-1)
Thus, the simplified form of the expression 6! − 3! when it is simplify using the properties of factorial is 3!((6x5x4) − 1).
Learn more about the simplified form here;
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Answer:
41.666 cm³ or 41.7 cm³ rounded to the nearest tenth.
Step-by-step explanation:
Volume of a square pyramid = base length² × height ÷ 3
25 × 5/3 = 41. 666
Have a great day:)
