Answer:
3. x = 17
4. a. m<NMP = 48°
b. m<NMP = 60°
Step-by-step explanation:
3. Given that <BAM = right angle, and
m<BAM = 4x + 22, set 90° equal to 4x + 22 to find x.
4x + 22 = 90
Subtract 22 from both sides
4x + 22 - 22 = 90 - 22
4x = 68
Divide both sides by 4
4x/4 = 68/4
x = 17
4. a. m<NMQ = right angle (given)
m<PMQ = 42° (given)
m<PMQ + m<NMP = m<NMQ (angle addition postulate)
42 + m<NMP = 90 (substitution)
m<NMP = 90 - 42 (subtracting 42 from each side)
m<NMP = 48°
b. m<NMQ = right angle (given)
m<NMP = 2*m<PMQ
Let m<PMQ = x
m<NMP = 2*x = 2x
2x + x = 90° (Angle addition postulate)
3x = 90
x = 30 (dividing both sides by 3)
m<PMQ = x = 30°
m<NMP = 2*m<PMQ = 2*30
m<NMP = 60°
-3b+ac=4
Move c to the left and - 3b to the right
ac-c=-4+3b
Now factor by c at the left
c(a-1)=-4+3b
Divide the right by a-1
C=(-4+3b)/(a-1)
Answer:
Step-by-step explanation:
we know that
The probability that a point chosen randomly inside the rectangle is in the triangle is equal to divide the area of the triangle by the area of rectangle
Let
x-----> the area of triangle
y----> the area of rectangle
P -----> the probability
<em>Find the area of triangle (x)</em>
<em>Find the area of rectangle (y)</em>
<em>Find the probability P</em>
Answer:
9-x
Step-by-step explanation:
