Answer:
C)2 : 1
Step-by-step explanation:
AEFG ≈ ALMN
FG / MN = 4 / 2 = 2/1
So the ratio of AEFG to ALMN = 2 / 1 or 2 : 1
Answer:
The range of data is 9
Step-by-step explanation:
We know that
range of data = maximum value of data - minimum value of data
Now, we can find maximum value of data
and minimum value of data
so,
maximum value of data =9
minimum value of data =0
now, we can plug these values
and we get
range of data =9-0
range of data =9
Answer:
∠5 = 35°
Step-by-step explanation:
∠5 = ∠2 because they are alternate interior congruent angles
∠5 = 35°
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°
answer:
x = - 9/2
y = -10
Step-by-step explanation:
make both equations look like y =
2x-3y=21 -> -3y= -2x+21 -> y = (-2x+21)/-3 -> y = 2/3x - 7
-6x + 2y = 7 -> 2y = 6x + 7 -> y = 3x + 7/2
now make the equations equal to each other (since they both equal y)
get x
2/3x - 7 = 3x + 7/2
-7 -7/2 = 3x - 2/3x
-14/2 -7/2 = 9/3x - 2/3x
-21/2 = 7/3x
(3/7) -21/2 = x
x = (3/7) -21/2
x = - 63/14
x = - 9/2
put it back in an equation to get y
y = 3x + 7/2
y = 3(-9/2) + 7/2
y = -27/2 + 7/2
y = -20/2
y = - 10
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