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2 years ago

5

angle a and angle b are supplementary angles. if m angle a = (7x+14)° and m angle b =( 5x-26)°, then find the measure of angle b

.

1 answer:

Allisa [31]2 years ago

8 0

Answer: 54 degrees

Step-by-step explanation:

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(-2/3, sqrt5/3) is a point on a unit circle. Find the cosine, cosecant, and sine of the angle.

Nana76 [90]

Look at the picture.

$\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}$

We have the right triangle x, y and r. From the Pythagorean theorem we have:

$r^2=x^2+y^2\to r=\sqrt{x^2+y^2}$

We have the point

$\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)$

Substitute:

$r=\sqrt{\left(-\dfrac{2}{3}\right)^2+\left(\dfrac{\sqrt5}{3}\right)^2}\\\\r=\sqrt{\dfrac{4}{9}+\dfrac{5}{9}}\\\\r=\sqrt{\dfrac{9}{9}}\\\\r=1$

$\csc\theta=\dfrac{1}{\frac{\sqrt5}{3}}=\dfrac{3}{\sqrt5}=\dfrac{3\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\boxed{\dfrac{3\sqrt5}{5}}$

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3 years ago

Which of the following is the sum of the slopes of the line 3x+y=1 and a line perpendicular to this line? A 0 B 13 C −83 D −6

laiz [17]

Answer:

-8/3

Step-by-step explanation:

First find the slope of the line

3x+y = 1

Solve for y

y = -3x+1

This is in slope intercept form

y = mx+b where m is the slope

The slope is -3

The slopes of perpendicular lines multiply to -1

m* -3 = -1

m = 1/3

The line perpendicular has a slope of 1 / (3) = 1/3

The sum is -3 + 1/3

-9/2 + 1/3 = -8/3

3 0

3 years ago

If the sum of seven odd consecutive numbers is 231, find the middle number.

qaws [65]

This is your answer, good luck buddy

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3 years ago

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Twice the length of a rectangle is three times the width. The perimeter of the rectangle is 320 cm. Find the dimensions of the r

alekssr [168]

Answer:

106

Step-by-step explanation:

divided 320 by 3

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2 years ago

Charlie runs at a speed of 3 yards per second.about how many miles does Charlie run

crimeas [40]

I think since he runs 3 yards per hour per second their are 60 seconds in a minute so 60 times equals 180 yards per second

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3 years ago