Answer:
Hence x = -1 and y = 18
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Step-by-step explanation:
Given the system of equations
y + 8x = 10... 1
2y - 4x = 40 ... 2
From 1; y = 10-8x
Substitute into 2;
2(10-8x) - 4x = 40
20 - 16x - 4x = 40
20 - 20x = 40
-20x = 40 - 20
-20x = 20
x = -1
Recall that y = 10-8x
y = 10 - 8(-1)
y = 10 + 8
y = 18
Hence x = -1 and y = 18
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Answer:
30 inches
Step-by-step explanation:
She takes 12 equal sized steps and they all add up to 10 yards.
The length of each step (in yards) is:
10 / 12 = 5/6 yards
The question requires the answer in inches, therefore, we must convert this to inches:
1 yard = 36 inches
5/6 yards = 5/6 * 36 = 30 inches
Each step is 30 inches long.
Answer:
The nth term is 109-9n
Step-by-step explanation:
Here, we want to find the nth term of the given arithmetic sequence
Mathematically, we have the nth term as;
Tn = a + (n-1)d
where a is the first term which is 100 in this case
d is the common difference which is the value obtained by subtracting the preceding term from the succeeding term; it is constant throughout the sequence
The value here is thus;
82-91 = 91-100 = -9
Substituting these values
Tn = 100 + (n-1)-9
Tn = 100 -9n + 9
Tn = 100 + 9 - 9n
Tn = 109-9n
It is B. and i would answer it!!!!!!
HOPE THIS HELP!!!!!! :)
Answer:
Choice 3: AAS
Step-by-step explanation:
We can prove that by AAS that means we need two congruent angles and one congruent side.
The first angle will be the vertical pair <FBG and <DBC.
The second angle will be the alternate interior pair <G and <D.
The one side will be and .