Answer:
y = 5x - 6
Step-by-step explanation:
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
Step-by-step explanation:
The Fibonacci sequence is the sum of the two terms before it. It looks like this:
1, 1, 2, 3, 5, 8, 13, 21, 34, ...
As you can see, 13 and 21 are indeed consecutive terms.
Answer:
Step-by-step explanation:
to calculate mean add all the entries in a week ,then divide by 7(the number of days)
i give you hint
mean for week 1=(52+65+... +60)/7
2x² - 128
2(x² - 64), but (x² - 64) = x² - 8² (difference of 2 squares),[a²-b²=(a-b)(a+b)]
2(x² - 64) = 2(x² - 8²) = 2(x-8)(x+8)