Answer:
Point R in coordinate (graph)
Step-by-step explanation:
According to the graph, distance betwen QR=(Y2-Y1) = 40-(-30) →
Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.
Now, SRT is a straight line.
(Linear pair)
...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get
Therefore, the value of x is 103 degrees.
Answer:
a = 4
Step-by-step explanation:
hypotenuse = a
opposite = 2√3
adjacent = b
theta = 60°
the best formula to use is the first formula cause we have all the values to substitute in it in order to find the value of a
Answer:
Abdullah is correct.
Step-by-step explanation:
The bottle contained originally 12 fl oz, so 12 fl oz is 100%.
The box now contains 20% more, so now it contains 120% of 12 fl oz.
120% * 12 fl oz = 1.2 * 12 fl oz = 14.4 fl oz
Also, 20% is 1/5. Abdullah divided 12 oz into 5 equal parts, and then he added one more 1/5. He interpreted the problem correctly. The amount in the new bottle is the amount of the old bottle plus 20% of that old amount.
Kanna considers the original amount to be 80%. When he adds another 20%, he is adding 1/4 of 12 which is too much. That is why he gets an incorrect answer that is to high. He interpreted the problem incorrectly. For him, the old bottle has 20% less than the new bottle. That is incorrect.
Abdullah is correct.
(g₀f)(x)=g(f(x))
=g(2x-2)
=5(2x-2)^2-3
=5(4x^2-8x+4)-3
=20x^2-40x+17