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
we can use MS excel to plot the given data and check whether the graph's trendline has an R-squared of 1. The graph does not fit into a line but fits into an exponential function. The trendline's equation is equal to y = 4e^1.3863x where R squared is equal to 1
Answer:
Area = 19.05 feet squared
Step-by-step explanation:
By applying sine rule in ΔABC,
sin(∠CAB) = 
sin(60°) = 
BC = 2√3
Area of a parallelogram is given by the formula,
Area = Base × Height
= 5.5 × 2√3
= 11√3
= 19.05 ft²
Therefore, answer is Area = 19.05 ft squared.
Answer:
<u>1</u><u>•</u><u>3</u><u> </u> × $500
100
<u>1</u><u>.</u><u>3</u><u> </u><u>×</u><u> </u><u>1</u><u>0</u><u> </u> × $500
100× 10
<u>1</u><u>3</u><u> </u> × $500
1000
=$6.5 semi annually
end of two years.....
6.5 × 4
=$26
in account.....
$500+$26
=$526
