TQRS is an inscribed quadrilateral.
5 x - 52° + 3 x + 40° = 180°
8 x - 12° = 180°
8 x = 180° + 12°
8 x = 192°
x = 192° : 8 = 24°
m∠ R = 3 · 24° + 40° = 112°
m∠ T = 5 · 24° - 52° = 68°
m∠ S = 360° - ( 68° + 68° + 112° ) = 112°
Answer:
m∠R, m∠S, m∠T = 112°, 112°, 68°.
Answer:
Maureen ignored the negative(minus) sign in 1.7 thereby turning it into positive 1.7
Step-by-step explanation:
-1.7 + (-6.3)
Correct simplification
-1.7 + (-6.3)
Open parenthesis
= - 1.7 - 6.3
= -8
NOTE:
- * + = -
- * - = +
+ * - = -
+ * + = +
Maureen's simplification
-1.7 + (-6.3)
= 1.7 - 6.3
= -4.6
Maureen ignored the negative(minus) sign in 1.7 thereby turning it into positive 1.7
Answer:
a. Yes. The difference is common and equal to $1750
b. $1750
c. $20000 was initial investment
d. This is linear equation with start point of 20000 and slope of 1750:
e. After another 10 years (on the top of 5 given) the investment will be:
- y = 1750*15 + 20000 = $46250
f. After 20 years the value of investment will be:
- y = 1750*20 + 20000 = $55000
Answer:
6) The median is 80
7) The 1st quartile is 60
8) The 3rd quartile is 100
9) The minimum value is 40
10) The maximum value is 110
Step-by-step explanation:
Line up where the points are
we are supposed to find
Which of these properties is enough to prove that a given parallelogram is also a Rectangle?
As we know from the theorem, if the diagonals of a parallelogram are congruent then the parallelogram is a rectangle.
The other options The diagonals bisect each other is not sufficient because in parallelogram diagonals always gets bisected , parallelogram becomes rectangles only if both the diagonals are of same length.
In a parallelogram The opposite angles and opposite sides are always equal.
Hence the correct option is
The diagonals are congruent.
