Answer:
B) Yes, ΔMNO ≅ ΔPON by SAS
Step-by-step explanation:
The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
In this case, side MO is congruent to side NP and side NO is shared by both triangles. The included angle in ΔMNO is ∠O and in ΔPON is ∠N, and they are congruent.
Answer:
The answer is 393.75$
Step-by-step explanation:
you take 25% from 500 dollars leaving the total at 375.00 before tax
Answer:
1. y = (-5x/2) + -3
2. y = (3x/2) + 7
Step-by-step explanation:
For both these problems, we simply need to apply point-slope form.
1. The point (0, -3) and the slope that is perpendicular to the line is the reciprocal of the coefficient, slope = -5/2.
From here, we simply apply the formula:
y - y0 = m ( x - x0)
y - -3 = -5/2 ( x - 0 )
y + 3 = -5/2 x
y = (-5x / 2) + -3
2. The point (0, 7) and the slope that is parallel to the line must maintain the same slope. First, we need to rewrite the equation into slope-intercept:
-3x + 2y = 10
2y = 3x + 10
y = 3x/2 + 5
Now we want to apply the point-slope form
y - y0 = m ( x - x0 )
y - 7 = (3/2) (x - 0)
y - 7 = 3x / 2
y = 3x/2 + 7
Cheers.
Answer:
-3.6 degrees
Step-by-step explanation:
Since we need to find the temperature that is 3 miles above ground we first need to multiply the distance above ground by the decrease in temperature per mile.
3 * 5.2 = 15.6
Now that we have the total decrease in temperature at that altitude we subtract it from the temperature at ground level. This gives us the final temperature at 3 miles above the ground.
12 - 15.6 = -3.6
Finally, we can see that the temperature is -3.6 degrees