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3 years ago

12

Will Mark brainliest

2 answers:

Zarrin [17]3 years ago

8 0

Answer:

x = 45

Step-by-step explanation:

The angle measurement of the line is 180 degrees because it is a straight line. Therefore, the shown two angle measurements must add up to 180 as well. So:

(2x+45) + x = 180

Combine like terms to simplify

3x + 45 = 180

-45 -45

Subtract 45 on both sides to isolate the variable

3x = 135

Divide 3 on both sides to isolate the variable as well

x = 45

*Hope this helped! : )*

Artyom0805 [142]3 years ago

5 0

$180^{\circ} = (2x + 45)^{\circ} + x^{\circ}\\180^{\circ} = 2x^{\circ} + 45^{\circ} + x^{\circ}\\180^{\circ} - 45^{\circ} = 2x^{\circ} + x^{\circ}\\135^{\circ} = 3x^{\circ}\\x^{\circ} = 45^{\circ}$

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konstantin123 [22]

Answer:

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Step-by-step explanation:

Given

$f(x) = 6x(1- x);\ 0 \le x \le 1$

Required

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From the question, we have:

$P(a < x < b) = \int\limits^b_a {f(x)} \, dx$

So, we have:

$P(0.3 < x < 0.7) = \int\limits^{0.7}_{0.3} {6x(1 - x)} \, dx$

Open bracket

$P(0.3 < x < 0.7) = \int\limits^{0.7}_{0.3} {6x - 6x^2} \, dx$

Integrate

$P(0.3 < x < 0.7) = \frac{6x^2}{2} - \frac{6x^3}{3}}|\limits^{0.7}_{0.3}$

$P(0.3 < x < 0.7) = 3x^2 - 2x^3|\limits^{0.7}_{0.3}$

Substitute 0.7 and 0.3 for x

$P(0.3 < x < 0.7) = (3*0.7^2 - 2*0.7^3) - (3*0.3^2 - 2*0.3^3)$

Using a calculator, we have:

$P(0.3 < x < 0.7) = (0.784) - (0.216)$

Remove brackets

$P(0.3 < x < 0.7) = 0.784 - 0.216$

$P(0.3 < x < 0.7) = 0.568$

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3 years ago