Answer:
10
Step-by-step explanation:
3 x 3 + 5 - 6 + 2=
PEMDAS states we do multiplication first.
9 + 5 - 6 + 2
Since it's just addition and subtraction, we calculate left to right
14 - 6 + 2
8 + 2
10
Answer: Original salary = $500
Step-by-step explanation: Tricia got a 6% raise on her weekly salary. The
raise was $30 per week.
Let x be the original salary
x times the raise percentage = raise amount
6%= 6/100=0.06, raise amount = 30
Now we solve for x
Divide by 0.06 on both sides
Original salary = $500
<span>We have the yearly cost in dollars y at a video game arcade based on total game tokens purchased

. So we know that:
</span>

<span>
</span>

<span>
</span><span>
Then we can study this problem by using the graph in the figure below. We know that if there's no any purchase, the yearly cost for a
member will be $60 and for a
nonmember there will not be any cost. From this, we can affirm that the cost of membership is equal to $60.
On the other hand, both members and nonmembers will pay the same price on the total game tokens purchased, this is true because of the same slope that members and nonmembers have in the equations.</span>
Answer:
Δ JKL is similar to Δ ABC ⇒ D
Step-by-step explanation:
Similar triangles have equal angles in measures
In ΔABC
∵ m∠A = 15°
∵ m∠B = 120
∵ The sum of the measures of the interior angles of a Δ is 180°
∴ m∠A + m∠B + m∠C = 180°
→ Substitute the measures of ∠A and ∠B
∵ 15 + 120 + m∠C = 180
→ Add the like terms in the left side
∴ 135 + m∠C = 180
→ Subtract 135 from both sides
∴ 135 - 135 + m∠C = 180 - 135
∴ m∠C = 45°
The similar Δ to ΔABC must have the same measures of angles
If triangles ABC and JKL are similar, then
m∠A must equal m∠J
m∠B must equal m∠K
m∠C must equal m∠L
∵ m∠J = 15°
∴ m∠A = m∠J
∵ m∠L = 45°
∴ m∠C = m∠L
∵ m∠J + m∠K + m∠L = 180°
→ Substitute the measures of ∠J and ∠L
∵ 15 + m∠K + 45 = 180
→ Add the like terms in the left side
∴ 60 + m∠K = 180
→ Subtract 60 from both sides
∴ 60 - 60 + m∠K = 180 - 60
∴ m∠K = 120°
∴ m∠B = m∠K
∴ Δ JKL is similar to Δ ABC