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uranmaximum [27]
4 years ago
8

Pls solve for angle 2.

Mathematics
1 answer:
dedylja [7]4 years ago
6 0
We know that with a straight line, the resulting angle is 180.
So, knowing this:
6x+12+5x+3=180
Solve for x
11x+15=180
11x=165
x=15
Plug x back into your respective angles
Angle 1: 6(15)+12=102 degrees
Angle 2: 5(15)+3=78 degrees
Therefore angle 2 is 78 degrees.
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EXPLANATION:

Since we have here similar triangles, then 2x+2/x+3 must be equivalent of 26/14

2x+2/x+3=26/14
2x+2/x+3=13/7
7(2x+2)=13(x+3)
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3 years ago
Can you please help me with A and B
svetoff [14.1K]
I read:
Farm Maid Yogurt : 6 g of fat in 13 cups
Dairy Delight Yogurt: 5 g of fat in 11 cups.

(This is what I read, which does not represent realistic numbers, likely decimals are missing).

(a) Farm Maid Yogurt
6 g/13 cups = 10 g/x cups
Cross multiply: 6x = 130 => x=130/6=21.67 cups.

(b)
Farm maid : 6 g/13 cups, 6/13 in 13/13 cups => 0.4615 g/cup
Dairy Delight : 5 g / 11 cups, 5/11 in 11/11 cups => 0.4545 g/cup
=> Dairy Delight Yogurt has slightly less fat.

(c) 9 cups of Dairy Delight
5 g / 11 cups = x g / 9 cups
Cross multiply
11x=5*9 g => x=5*9/11 g = 4.09 g

(d) 3 cups of Dairy Delight & 5 cups of Farm Maid.
5 g/ 11 cups = x g / 3 cups 
Cross multiply
x=5*3/11 = 1.3636 g

5 cups of Farm Maid
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y=6*5/13=2.3077 g

Total fat consumed = 1.3636+2.3077 g = 3.6713 = 3.671 g (to the nearest thousandth gram).


4 0
3 years ago
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