Denver is about 5,200 feet above sea level. Which number line best represents this integer?
1 answer:
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Answer:
(3, -8) and (2, -10)
Step-by-step explanation:
Given
Required
Select the true coordinate points in (3, -8) (2, 5) (-5, 1) (10, 3) (2, -10)
(3, -8)
x = 3 and y = -8
--- True
--- True
(2, 5)
x = 2 and y = 5
--- False (No need to check the other inequality)
(-5, 1)
x = -5 and y = 1
--- True
--- False
(10, 3)
x = 10 and y = 3
--- False (No need to check the other inequality)
(2, -10)
x = 2 and y = -10
--- True
--- True
Hence, the solution to the inequalities are:
(3, -8) and (2, -10)
Answer:
Step-by-step explanation:
Properties of a kite;
1). A kite has one pair of equal angles.
2). A kite has two pairs of adjacent sides.
3). Diagonals of a kite intersect at 90°.
4). Kite has at least one diagonal that bisects the opposite angles.
It's given in the question,
m∠ABC = 70° and m∠ADC = 46°
By the property number -4,
m∠2 = m∠3 = = 35°
m∠8 = m∠9 = = 23°
By the property number - 3,
m∠4 = 90°
By the property of interior angles in a triangle,
m∠3 + m∠4 + m∠5 = 180°
35° + 90° + m∠5 = 180°
125° + m∠5 = 180°
m∠5 = 55°
Similarly, m∠1 + m∠2 + 90° = 180°
m∠1 + 35° + 90° = 180°
m∠1 = 55°
Now m∠6 + 90° + m∠8 = 180°
m∠6 + 90° + 23° = 180°
m∠6 = 180 - 113 = 67°
Therefore, m∠6 = m∠7 = 67°