Answer:
x = 61
Step-by-step explanation:
Left hand triangle containing 1 angle of 74
Label the other angle opposite the marked side also as 74
Find the third angle. Call it y.
y + 74 + 74 = 180 Combine like terms
y + 148 = 180 Subtract 148 from both sides.
y = 180 - 148
y = 32
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Now work with the triangle on the right.
label the angle making up the right angle = z
32 + z = 90 These two angles are complementary = 90
32 - 32 + z = 90 - 32 Subtract 32 from both sides
z = 58 Use 58 wherever you see z
x + x + z = 180 Substitute
2x + 58 = 180 Subtract 58 from both sides
2x = 122 Divide by 2
x = 61
You first need to find the LCD (lowest common denominator). You will need to find the smallest number that is a multiple of all numbers that is the denominator (2, 16, 8). Or, to say it another way, all the numbers in the denominator need to be a factor of this number.
You can find this by first checking if the largest number that is the denominator-- in this case 16-- is already the LCD, which means 16 is divisible by all the other numbers.
If this does not work, then multiply all the numbers together to get the LCD-- since you multiplied them together, you know that they will all be factors of the product.
However, you will be able to see that 16 is indeed the lowest common denominator:
2 × 8=16
8 × 2=16
16 × 1=16
So, after you find the LCD, multiply both the numerator and the denominator by the number that you would need to multiply the denominator to get the LCD (the whole point is that you want to get the denominator to be the LCD, but to do that you need to multiply both the top and bottom by the same number to keep the fraction the same).
(1/2) x (8/8)= 8/16
(3/16) x (1/1)= 3/16
(7/8) x (2/2)= 14/16
Answer:
B | 6
Step-by-step explanation:
First, find the length of the wire by finding the perimeter of the rectangle
2(5) 2(7) = 24
If a square has 4 sides, put 24 as the numerator and 4 as the denominator.
24/4
Now, divide it and you'll get 6, the answer.
Answer:
The correct statements are as follows;
1. They have different y-intercepts
2. The substitution method results in false statement 8 = -1
3. There is no solution
Step-by-step explanation:
Here, we want to select the statement that best describes the equations
The equation for a straight line is generally;
y = mx + b
m is slope and b is the y-intercept
slope of both is same ; 4
So first assertion is wrong
they have different y-intercepts
First y-intercept is 8, second is -1
This is correct
The third statement is correct too
if we equated both y;
4x + 8 = 4x -1
We shall have 4x canceled out and left with 8 = -1
(8,-1) is not a solution
There is no solution is correct because after substituting, we have 8 = -1 which is not correct and also impossible
