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2 years ago

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The size of the largest angle in a triangle is 3 times the size of the smallest angle. The third angle is 10 more than the small

est angle. Work out the size, in degrees, of each angle in the triangle.

1 answer:

Yakvenalex [24]2 years ago

3 0

Answer:

largest angle=102 smallest angle=34 last angle=44

Step-by-step explanation:

there are 180 degrees in all triangles so 102+44+34=180

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This is my last question please help asap!!

Ivanshal [37]

The average rate of change of function $g(x)=5(2)^{x}$ from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

The correct option is (A).

What is the average rate of change of a function?

The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function.

Using function notation, we can define the Average Rate of Change of a function f from a to b as:

$rate(m) = \frac{f(b)-f(a)}{b-a}$

The given function is $g(x) = 5(2)^{x}$ ,

Now calculating the average rate of change of function from x = 1 to x = 2.

$m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(2)-g(1)}{2-1}\\\\m=\frac{5(2)^{2}-5(2)^1}{2-1}\\ m=\frac{10}{1} \\m=10$

Now, calculate the average rate of change of function from x = 3 to x = 4.

$m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(4)-g(3)}{4-3}\\\\m=\frac{5(2)^{4}-5(2)^3}{4-3}\\ m=\frac{40}{1} \\m=40$

The jump from m = 10 to m = 40 is "times 4".

So option (A) is correct.

Hence, The average rate of change of function $g(x)=5(2)^{x}$ from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

To learn more about the average rate of change of function, visit:

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1 year ago

Solve for x. −6≥10−8x

Nataly_w [17]

$-6\geq10-8x\\\\
8x\geq16\\\\
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3 years ago

Distributive Property to solve the equation. 5(x - 6) + 8 = 7x- 8 (Type the value of x.)

Zarrin [17]

X = -7, have a good day !

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2 years ago

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What is the surface area of this prism? A. 3240 m2 B. 6480 m2 C. 1656 m2 D. 3312 m2

NeX [460]

Well take the bottom and in this case its 18 and 30 so 18 x 30 = 540 then you do the two 15's times 30 and thats 450 times the 2 is 900 so 540+900+216 = so thats 1656 m 2 :)))))))))))

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2 years ago

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Help please Can you clear fractions in an equation by multiplying each side by a common denominator other than the LCD? Give an

Katena32 [7]

Yes here is an example:_

x/4 + 5/6 = 2

The LCD of 4 and 6 is 12 but we can also multiply through by 24 to clear the fractions:-

x/4 * 24 + 5/6 * 24 = 2 + 24

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This will give us the same result if we multiplied through by 12.

7 0

2 years ago