Answer:
The answers are given below.
Step-by-step explanation:
7. EFGH is a rectangle. Slope of HE is 
So, the slope of EF is 
= 
8 .PQRS is a square.
So, m∠QSR = 45°
[since the diagonals bisect the internal angles of a square]
9. m∠PTQ = 90°
[since the diagonals of a square intersect each other at right angles]
10. RT = 24 unit ,
so,
PR = 
unit
= 48 unit [since the diagonals of a square bisect each other]
So, SQ = PR = 48 unit
[since the diagonals of a square are equal]
11. Yes, a squae is a rectangle
12. Since RSTU is a rectangle,
so, ∠RUS + ∠SUT = 90°
⇒3x + 6 + 5x - 4 = 90°
⇒x = 11°
So, ∠RUS = 3x + 6 = 39°
Answer: 116 degrees.
Step-by-step explanation:
Interior angles of a triangle add to 180.
Knowing the first two angles are 36 and 28, you can subtract them from 180 to find the answer:
180 - 36 - 28 = 116
Answer:
x is less than 16/9 x is greater than or equal to -19/13
I did it wrong I was thinking to complex.
What you need to do is add 5/8+3/10 ( I turned them into Decimals)
So .625 + .3 which equals .925 miles walked or if you need to put it into a fraction 9.25/10
Sorry for the wrong answer the first time.
Again, a spreadsheet or suitable calculator makes this short work.
The sum is 184.
_____
The terms being summed are ...
2·3² +3 = 2·9 +3 = 18 +3 = 21
2·4² +3 = 35
2·5² +3 = 53
2·6² +3 = 75
Their total is
21 +35 +53 +75 = 184
