B. Is the correct answer because it uses parentheses
Step-by-step explanation:
9y-3=?
9(10)-3
=90-3
=87
Answer:
m<a = 30°
m<b = 90°
m<c = 60°
Step-by-step explanation:
Angles a, b, and c are all angles on a straight line.
Angles on a straight line add up to 180°.
Therefore, a + b + c = 180°
Given that a:b:c = 1:3:2, the measure of each can be calculated as follows:
Measure of each angle = the ratio proportion of that angle ÷ total ratio proportion * 180°
m<a = 
m<b = 
m<c = 
Answer: options b and c
<u>Step-by-step explanation:</u>
∠ACD is supplementary to ∠ACE <em>given</em>
∠ACD is supplementary to ∠BCD <em>given</em>
⇒ ∠ACE is supplementary to ∠BCD <em>transitive property</em>
∠ACD ≅ ∠BCE <em>given</em>
⇒ ∠BCE is supplementary to ∠ACE <em>substitution</em>
and ∠BCE is supplementary to ∠BCD <em>substitution</em>
********************************************************************************
multiple choice options:
a) ∠ACE is supplementary to ∠BCD <em>False</em>
b) ∠BCE is supplementary to ∠ACE <em>TRUE</em>
c) ∠BCD is supplementary to ∠BCE <em>TRUE</em>
d) ∠ACE ≅ ∠BCE <em> False</em>
e) ∠BCD ≅ ∠ACE <em>False</em>
Answer:
2
Step-by-step explanation:
a₃ = -2
a₇ = -10
The nth term of an arithmetic sequence is:
a = a₁ + d (n − 1)
Therefore:
-2 = a₁ + d (3 − 1) = a₁ + 2d
-10 = a₁ + d (7 − 1) = a₁ + 6d
Subtract the equations:
8 = -4d
d = -2
Plug into either equation to find the first term.
-2 = a₁ + 2(-2)
a₁ = 2
