According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other right triangle, then the triangles are congruent.
By using this theorem we can set up the system of equations as follows:
x=y+1 ...(1)
2x+3= 3y + 3 ..(2)
By using equation (1) next step is to plug in y+1 for x in equation (2). So,
2 ( y + 1) + 3 = 3y + 3
2y + 2 + 3 = 3y + 3 By using distribution property.
2y + 5 = 3y + 3
2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.
2y = 3y - 2
2y - 3y = -2 Subtract 3y from each sides.
-y = -2
So, y=2
Next step is to plug in y=2 in equation (1) to get the value of x. Hence,
x= 2+1
=3
So, x=3 and y=2 make these triangles congruent.
So, the correct choice is 3. x = 3, y = 2.
Answer:
E. 0.759
Step-by-step explanation:
You can take this right triangle to have a base length side LM , height of LN and a hypotenuse of MN
The sine of angle ∠LMN is 0.759, find the value of ∠LMN
∠LMN=49.38°
Find angle ∠LNM
You know sum of angles in a triangle add up to 180°, given that this is a right-triangle, the base angle is 90° hence
∠LNM=180°-(90°+49.38°)
∠LNM= 180°-139.38°=40.62°
Find cos 40.62°
Cos 40.62°=0.7590
Answer:
1,665.25 km
Step-by-step explanation:
it helps a lot in math us it won't let me do it
Answer:
15
Step-by-step explanation:
PERT estimate is a measuring strategy that is based on a weighted average. It is used in measuring the uncertainty and risk via three estimates to determine an estimated likelihood for a project's cost or period of completion.
The formula is (O + 4M + P) ÷ 6
Where P is the most pessimistic = 29
M is the most likely = 12
O is the most optimistic = 10
Hence we have (10 + [4*12]+ 29) ÷ 6
= (10 + 48 + 29) ÷ 6
= 87÷6 = 14.5 ≈ 15
Rounded figure is equal to 15.
Hence the final answer to the question is 15
