Answer:
Step-by-step explanation:
Simply we know this is an isosceles triangle meaning that:
The other angle is also 35.
With this information, we can say that as a triangle adds up to 180, we can put this in a formula:
x+35+35 = 180
x+70 = 180
x = 110
Answer:
67.5
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Dilation is the enlargement or reduction of an object by a factor.
The area of ABCD = AB * BC = 30
As a result of the dilation to form A'B'C'D', A'B' = 3/2 * AB, B'C' = 3/2 * BC, C'D' = 3/2 * CD and A'D' = 3/2 * AD. Hence:
Area of A'B'C'D' = A'B' * B'C' = 3/2 * AB * 3/2 * BC = 9/4 * (AB * BC) = 9/4 * 30 = 67.5
Answer:
Step-by-step explanation:
Magnitude: |a|= 
Direction: in the negative direction of the Ox axe and Oy axe
Answer:
552
Step-by-step explanation:
This is a problem of permutation which can be solved by rule of fundamental counting principle.
This principle states that if there "m" ways of doing one thing and "n" ways of doing other. Then no. of ways in which both the things can be done together is "m*n". This can be extended for m, n, p,r, s things and so on.
example: if there are 5 shirts and 3 trousers then number of ways in which the shirts and trousers can be worn is 5*3 = 15 ways.
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The given problem is on similar concepts.
here 6 short stories, 4 novels, and 23 poems have to be assigned to his class.
Thus it can be done in 6*4*23 = 552 ways.
Answer:
3/6 or 1/2
Step-by-step explanation:
If there is 1 green, 2 yellow, and 3 red marbles in the bag then there are 6 marbles total. She can only pull out 3 red ones seeming there are only 3 in the bag. Therefor the probability of her choosing a red marble is 3/6 or reduced to 1/2
