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lions [1.4K]
3 years ago
9

What are the measures of the angles in the triangle? (6x + 10) (x + 17) (4x - 34)​

Mathematics
1 answer:
REY [17]3 years ago
7 0

I'm not quite sure these are right. You might wanna check with a classmate or something first.

Step-by-step explanation:

(6x + 10) + (x + 17) + (4x - 34) = 180

11x - 7 = 180

11x = 173

x = 15.73 (answer had repeating decimal so i rounded up in the hundredths place)

(6x + 10)

6 (15.73) + 10

94.38 + 10

104.38

(x + 17)

(15.73) + 17

32.73

(4x - 34)

4(15.73) - 34

62.92 - 34

28.92

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Hope this helped! :)
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Read 2 more answers
A triangle with an area of 60 square inches has a height that is 16 less than 6 times its base.
PtichkaEL [24]

Step-by-step explanation:

the area of a triangle

baseline × height / 2

in our case

baseline × height / 2 = 60 in²

height = 6×baseline - 16

baseline × (6×baseline - 16) / 2 = 60

baseline × (3×baseline - 8) = 60

3×baseline² - 8×baseline = 60

baseline = x

3x² - 8x - 60 = 0

general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 3

b = -8

c = -60

x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =

= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =

= (8 ± 28)/6

x1 = (8 + 28)/6 = 36/6 = 6

x2 = (8 - 28)/6 = -20/6 = -10/3

x2 as a negative number is not a valid solution for a length in a geometric shape.

so, x = 6 in is our solution for the baseline.

height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in

base = 6 in

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2 years ago
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