How do I solve this? I am confused Quick!!

Mathematics

1 answer:

KiRa [710]2 years ago

8 0

Answer: green angle = 76 degree

Solution:
We can use interior angle properly of a triangle to find it.

Exterior angle = sum of interior angles

So, 116 = 4x + (7x + 6)

11x + 6 = 116
11x = 116 - 6
11x = 110
x = 110/11 = 10

So, angles = 4 x 10 = 40
7 x 10 + 6 = 70 + 6 = 76

Green angle: 76 degree

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This is all I got for an answer. I hope it helps!

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how much antifreeze 25% antifreeze and 50% antifreeze should be combined to give 40 gallon of 30% antifreeze?

VARVARA [1.3K]

32 gallons of 25 % antifreeze should be combined with 8 gallons of 50 % antifreeze to get 40 gallon of 30% antifreeze

<h3><u>Solution:</u></h3>

From given,

Final mixture is 40 gallon

Let "x" be the gallon of 25 % antifreeze

Then, (40 - x) is the gallon of 50 % antifreeze

Therefore, according to question,

"x" gallons of 25 % antifreeze should be combined with (40 - x) gallons of 50 % antifreeze to get 40 gallon of 30% antifreeze

<h3><u>Therefore, we frame a equation as:</u></h3>

25 % of x + 50 % of (40 - x) = 30 % of 40

Solve for "x"

$\frac{25}{100} \times x + \frac{50}{100} \times (40-x) = \frac{30}{100} \times 40\\\\0.25x + 0.5(40-x) = 12\\\\0.25x + 20 - 0.5x = 12\\\\0.25x - 0.5x = 12 - 20\\\\-0.25x = -8\\\\0.25x = 8\\\\Divide\ both\ sides\ by\ 0.25\\\\x = 32$