Answer:
Step-by-step explanation:
Triangle HIJ is a right angle triangle.
From the given right angle triangle
IJ represents the hypotenuse of the right angle triangle.
With ∠J as the reference angle,
HJ represents the adjacent side of the right angle triangle.
HI represents the opposite side of the right angle triangle.
To determine IJ, we would apply Sine trigonometric ratio. It is expressed as
Sin θ = opposite side/hypotenuse. Therefore,
Sin 54 = 7/IJ
0.8090 = 7/IJ
IJ = 7/0.8090
IJ = 8.7 to the nearest tenth
Answer:
ΔNPM and ΔOMP by SAS postulate
B is correct
Step-by-step explanation:
In ΔNPM and ΔOMP
NP = OM (Given)
∠NPM = ∠OMP (Given)
PM = MP ( Common )
So, ΔNPM ≅ ΔOMP by SAS property of concurrency.
ΔNPM and ΔOMP are congruent because their two side and angle between them are equal.
Therefore, SAS postulate use here
Hence, ΔNPM and ΔOMP by SAS postulate
Answer:
d a(x)/dx = 19(2.046^x)(ln 2.046)
Step-by-step explanation:
Step-by-step explanation:
5x-17 and 3x-11 are supplementary angles
They add up to 180 degrees
5x-17 + 3x - 11 = 180
8x - 28 = 180
8x= 208
x= 26
3x-11, 90, and 2y + 5 added together equal 180
3x-11 + 90 + 2y + 5 = 180
3(26) - 11 + 2y + 5 = 90
78 - 6 + 2y = 90
72 + 2y = 90
2y = 18
y = 9
I hope this helps!!!
