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3 years ago

4

Label the vertices and all the elements needed. Find x. Give reasons!

1 answer:

Sholpan [36]3 years ago

8 0

Answer:

x = 36°

Step-by-step explanation:

Please check the labels in the image attached.

In vertex A, the sum of the angles in the line AB is 180°, so we have:

$x + 90 + mA = 180$

$mA = 90 - x$

The angle mCHB is a right angle, so the angle mAHB is also a right angle.

Then, using the internal angles of triangle AHB, we have:

$mA + mAHB + mABH = 180$

$90 - x + 90 + mABH = 180$

$mABH = x$

Then, in vertex B, we have the sum of angles in the line BC equal to 180°:

$3x + mABH + x = 180$

$3x + x + x = 180$

$5x = 180$

$x = 180/5 = 36\°$

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3 years ago

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2 years ago

What is the equation if the line slope is 2/3 and the y-intercept is -3

lora16 [44]

<h2>The required equation of line is 2x - 3y - 9 = 0.</h2>

Step-by-step explanation:

Here, slope(m) = $\dfrac{2}{3}$ and y - intercept(c) = -3

To find, the required equation of line = ?

We know that,

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y = mx + c

∴ The required equation of line

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4 years ago

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stiks02 [169]

Answer:

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