To answer this question, we need to recall that: "the diagonals of a rectangle bisect each other"
Thus, if we assign the point of intersection of the two diagonals in the rectangle as point O, we can say that the triangle OQR is an "isosceles triangle". Note that this is because the lengths OR and OQ are equal since we know that: "the diagonals of a rectangle bisect each other". See the below diagram for clarity.
Now, we have to recall that:
- the base angles of any isosceles triangle are equal. This is a fact, and this means that the angles
- also the sum of all the angles in any triangle is 180 degrees
Now, considering the isosceles triangle OQR, we have that:
Now, since the figure already shows that angle 
Now, since we have established that the base angles 
we can now solve the above equation for m<2 as follows:
Therefore, the correct answer is: option D
Answer:
a) $175 b) It will be $126
Step-by-step explanation:
Cost price of 3 games= $140
Let the original price of games= $ x
Discount is given= 30%
According to question
x 
= $140
x 
= $140
x ×0.8= $140
x= $ 
x= $175
Hence, the original price of games $ 140
(b) If Sam had given a discount of 20%
Again a discount = 10%
The price of games=$ 140
Now, the selling price will be= 175×
Now, the selling price will be= $ 126
Hence, the price will be different.
Answer:
can you please show attachments?
Answer:
The ordered pairs for 1 and 3 are:
(1,2) (3,8)
Now use the slope formula:
(y2-y1)/(x2-x1)
(8-2)/(3-1)= 6/2 = 3
Step-by-step explanation:
5x - 100 + x - 20 = 180 (sum of supplementary angles is equal 180)
6x - 120 = 180
6x = 300
x = 50
x - 20 = 50 - 20 = 30
so
3y = 30 (vertical angles are equal)
y = 10
