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
Hello,
First we work out the equations:
x + y =62 will be the first equation.
2x= y +13 is the second equation.
We can first rewrite the second equation as 2x – y =13.
So we have:
x + y = 62
2x –y =13
KEEP IN MIND: With y being positive in one of the equations and negative in the other, we can combine the equations to quickly eliminate y and solve for x.
x + y = 62
+2x –y =13
3x = 75 divide both sides by 3 to get x.
x = 25
Now that we have x we can substitute the value for x, 25.
25 + y = 62 we can subtract 25 from both sides to get y.
y = 62- 25
y = 37
2(25) = 37 + 13
Therefore,
50 = 50
Have a amazing day.
Answer:
1. Why does the graph not start at zero?
It doesn't start at zero because all ovens start at 350°(probably less, but normally 350°) and not zero degrees.
2. What does it mean when the graph flattens out?
When the graph flattens out, it means that the temperature doesn't increase nor decrease, but instead it remains the same.
A+b is less than or equal to 50
Answer:
The factors of the given equation are:
Step-by-step explanation:
We have :
Using middle term splitting theorem to factorize the expression :
The factors of the given equation are:
