The answer is 21
the area of the small rectangle is 6 and the area of the bigger one is 15
15+6=21
First, move the (-2x) to the right side.
-y = 5 + 2x
Then multiply everything by negative one.
y= -2x - 5
21)
PT = TQ
Given PT = 4x - 6 and TQ = 3x + 4
so
4x - 6 = 3x + 4
Subtract 3x from both sides
4x - 6 - 3x = 3x + 4 - 3x
Simplifying
x - 6 = 4
Add 6 to both sides
x - 6 + 6 = 4 + 6
Simplifying
x = 10
PT = 4(10) - 6 = 40 - 6
PT = 34
Answer
PT = 34
5 because 5 is a factor of both 10 and 45
Answer:
114
Step-by-step explanation:
To find - Find the sum of all the two-digit numbers that divide 170 with a remainder of 5.
Proof -
The 2 digit number is 11
170 = 11(15) + 5
The two digit number is 15
170 = 15(11) + 5
The two digit number is 33
170 = 33(5) + 5
The two digit number is 55
170 = 55(3) + 5
∴ we get
The two digit numbers are
11, 15, 33, 55
Their sum is equals to
11 + 15 + 33 + 55 = 114