Step-by-step explanation:
Angle A = 4x + 12 = 4(15) + 12 = 72°.
Acute is for angles that are less than 90°.
Obtuse is for angles that are between 90° and 180°, not inclusive.
Right is for angles that are 90°
Hence the answer is acute.
Answer:
C
Step-by-step explanation:
6:4=8:12
6x3=8
4x3=12
Donald earns $23 each weekend and Mickey earns $30.
Step-by-step explanation:
Given,
Money earned by Mickey and Donald = $53
Let,
Share of Mickey = x
Share of Donald = y
According to given statement;
x+y=53 Eqn 1
x = y+7 Eqn 2
Putting value of x from Eqn 2 in Eqn 1

Dividing both sides by 2

Putting y=23 in Eqn 2

Donald earns $23 each weekend and Mickey earns $30.
Keywords: linear equation, substitution method
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Answer:
1.5
Step-by-step explanation:
As the common difference is not same for all terms, the given sequence is a geometric sequence
the standard formula for a geometric sequence is:

The formula to calculate common ratio is:

Dividing the term by previous term
So,
r = 12/8 = 18/12 = 27/18 = 1.5
The value for common ratio will be:
1.5 ..
Formula of the midpoint:
x =(x₁+x₂)/2 and y = (y₁+y₂)/2
Plugin the respective value
for A(0,1/2) and B(0, 3/4)
x= (0+0)/2 = 0
y = (1/2 + 3/4)/2 = 5/8
Then the midpoint of the line segment whose endpoints are (0,1/2 ) and (0,3/4 ). is M(0, 5/8) or M(0, 0.625)