Answer: 
Explanation: Since, a kite has one pair of congruent angles and its main diagonal bisects its opposite angles.
Therefore, According to the given figure,
And, WY is the main diagonal which bisects angles ZWX and XYZ.
So, 
And, 
Since, Sum of all angles of a quadrilateral is equal to 
Therefore, 
⇒
⇒
⇒ 
Answer:
See explanation
Step-by-step explanation:
If the mystery number rounds to 700, then it has 3 digits before decimal points and two digits after decimal point.
Hence, the mystery number is

The digit in the tenth place is double the digit in the tens place, so

If b = 1, then d = 2
If b = 2, then d = 4
If b = 3, then d = 6
If b = 4, then d = 8
The difference between the digit in the hundreds place and the ones place is 3, so

The first digit can be only 7, because b < 5 and the number rounds to 700. So
If a = 7, then c = 4
All possible answers:
714.2e
724.4e
734.6e
744.8e,
where e is an arbitrary digit from 0 to 9.
There are 40 possible numbers which match the situation.
Answer:
Step-by-step explanation:
1) Two angles supplementary. So sum of two angles is 180
One angle = x
Other angle = 2x
x + 2x = 180
3x = 180
x = 180/3 = 60
The angles are 60, 120
2)Two angles complementary. So sum of two angles is 90
one angle = x
Other angle = x + 20
x +x +20 = 90
2x + 20 = 90
2x = 90- 20
2x = 70
x = 70/2 = 35
The angles are 35,55
3) one angle =x
Other angle = 3x - 20
x + 3x - 20 = 120
4x = 120 + 20
4x = 140
x = 140/4 = 35
The angles are 35,85
5) x + 4x -20 = 180
5x = 180 + 20
5x = 200
x = 200/5 = 40
x = 40
6) This sum is not clear only half is visible
Answer:
$650
Step-by-step explanation:
To find the amount that Simon deposited to get $87.75 in time, we need to use the formula:

Let's break down our variables first.
P = ?
r = 4.5% or 0.045
t = 3
I = $87.75
Now let's plug our values into the formula.



To find P we need to divide both sides with 0.135.


This means the Simon deposited $650 to open the account.