Solve for all missing measures

Mathematics

1 answer:

mylen [45]3 years ago

3 0

Answer:

Step-by-step explanation:

Begin

If this is a rhombus then <8 = 90 degrees as do all the central angles. That's because the diagonals intersect at right angles.

<4 = 38 z formation for parallel lines.

<7 = 52 The angles are part of a right angle triangle. <7 +38 = 90

<2 = 52 z formation of parallel lines (a rhombus has ll lines).

<3 = 38 The diagonals of a rhombus bisect each other.

<5 = 38 z formation for parallel lines.

<6 = 52 The diagonals of a rhombus are angle bisectors.

<1 = 52 The diagonals of a rhombus are angle bisectors.

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A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line an

Snowcat [4.5K]

Answer:

$\cos\theta=\frac{10}{\sqrt{116}}$

Step-by-step explanation:

To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.

$\cos\theta$ is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.