Answer:
21w+3
Step-by-step explanation:
5w+9w+5+7w-2
14w+5+7w-2
21w+3
Answer:
volume = area of its × its height
v= 2×3.5×4×1
v=28 meter cube
Answer:
The equation is;
y = (-x-23)/25
Step-by-step explanation:
The equation of a straight line can be given as y = mx + b
where m is the slope and b is the y-intercept
for y = 25x + 4
m is 25
Now, we need the slope of a line perpendicular to this,
If two lines are perpendicular, the result of the product of their slopes is -1
m1 * m2 = -1
25 * m2 = -1
m2 = -1/25
Mathematically, we have the slope in the point slope form as ;
y+3 = -1/25 (x - 2)
y = -x/25 + 2/25
y = -x/25 + 2/25 - 3
y = -x/25 -73/25
Answer:
6) 15
7)5
8)120 degrees
9)60 degrees
10)9
Step-by-step explanation:
GHIJ is a parallelogram.
Opposite sides of a parallelogram are congruent.
3y - 1 = 2y + 1
3y - 2y = 1 + 1
y = 2
Opposite sides of a parallelogram are congruent.
4x + 3 = x + 12
4x - x = 12 - 3
3x = 9
x = 9/3
x = 3
6)GH = ?
GH = 4x + 3
GH = 4(3) + 3
= 12 + 3
= 15
therefore, GH = 15
7) HI = ?
HI = 2y + 1
= 2(2) + 1
= 4 +1
= 5
therefore, HI = 5
Opposite angles of a parallelogram are equal.
8) m(angle I) = 120 degrees...... (given)
therefore, measure of angle G = measure of angle I
therefore, m(angle G) = 120 degrees
Consecutive angles of a parallelogram are supplementary.
9) m(angle I) + m(angle J) = 180 degrees
120 + m (angle J) = 180
m(angle J) = 180 - 120
= 60 degrees.
The diagonals of a parallelogram bisect each other.
10) JK = 9 .........( given)
JK = HK
therefore, HK = 9
Answer:
Step-by-step explanation:
Let A and B events. We have defined the probabilities for some events:
Where A' represent the complement for the event A
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: 
So for this case we can solve for P(A) like this:
And now we can find 
using the total probability rul given by:
And if we replace the values given we got:
And that would be the final answer.
