Answer:
The value of y is 14.
Step-by-step explanation:
To find this, we first can replace the angle written as 2x with 50. Since the sides leading to that point are congruent, we know that they have the same angle.
Now given that fact, we can put the 2 - 50s along with the final angle and set equal to 180 (the measure of the combined angles in all triangles).
50 + 50 + 5y + 10 = 180
110 + 5y = 80
5y = 70
y = 14
Answer:
(a) b = (4/7)c
(b) Bill: 40 shingles/hour; Chip: 70 shingles/hour
Step-by-step explanation:
Let b and c represent Bill's and Chip's rates in shingles per hour, respectively. Then we have ...
7b = 4c
c - b = 30 . . . . shingles per hour difference in rates
(a) Bill's rate in terms of Chip's rate can be found by dividing the first equation by 7
b = (4/7)c . . . . . Bill's rate is 4/7 of Chip's rate
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(b) To find the rates, we can multiply the second equation by 7 and substitute using the first equation:
7c -7b = 210
7c -4c = 210
c = 210/3 = 70
b = (4/7)(70) = 40
Bill's rate is 40 shingles per hour; Chip's rate is 70 shingles per hour.
Answer: 10g+6h+8
So none of the above I think
Step-by-step explanation:
You can see that both terms involve the square root of two. Think of it as a variable, say x. Your expression becomes
<span>Taking out the parentheses of expression
(5x2 + 3x + 4) − (2x2 + 5x − 1)
= 5x2 + 3x+ 4 -2x2 - 5x + 1
Grouping together the like terms and arranging the expression:
= 5x2 - 2x2 + 3x - 5x + 4 + 1
Combining the like terms:
= 3x2 - 2x + 5
Therefore,
A = 3
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