Answer: 2
Step-by-step explanation:
1. Convert the mixed numbers to improper fractions,
2. then find the LCD and combine.
Answer:
B
Step-by-step explanation:
Here, we want to get the value of m
The value of m can be obtained by multiplying the first factors of the first two polynomial, subtracting the first factor of the third and equating to 18
So what we have will be;
m * 6 - 6 = 18
6m -6 = 18
6m = 18 + 6
6m = 24
m = 24/6
m = 4
Answer:
19
Step-by-step explanation:
The opposite sides are equal, so:
PS = 3y+1
RS = 4y+2
QR = 3y+1
PQ = 4y+2
Therefore, we can set the perimeter 90 = PS+RS+QR+PQ
90 = (3y+1) + (4y+2) + (3y+1) + (4y+2), or,
90 = 2(3y+1) + 2(4y+2)
90 = 6y+2 + 8y+4
90 = 14y + 6
84 = 14y
y = 6
Then, we go back to the question. It's asking for the length of PS. PS = 3y+1, so we plug in 6 for y
3(6)+1
18 + 1 = <u>19</u>
The pitch of the roof is given by the ratio of the rise to the run of the roof, which is the slope of the rafter

Please find attached the simple <u>diagram of the house</u> with all measurements labeled
The reason the above value for the pitch and the diagram are correct are as follows:
The given parameters are;
Width of the section of the house on which the gable of the roof is to be placed = 50 feet
Length of the over hang on the sides of the roof = 1 foot each
Total span of the roof = 52 feet
Horizontal length of each rafter, the run = 26 feet
The height of the ridge above the top of the frame, the rise = 12 feet
Required:
- To find the pitch of the roof
- To draw a diagram of the house showing measurements
Solution:

Please find attached the <u>diagram</u> of the house showing the measurements for the roof parameters and the section of the house where the gable roof is to be placed
Learn more about finding the slope of a line here:
brainly.com/question/18990889
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