Okay so CBE is a right angle which equals 90 degrees. CBD and DBE makes up CBE which is 23 degrees is part of CBD. So subtract CBE from CBD to get DBE which is 67 degrees.

8 0

4 years ago

Write an equation of a line using point-slope form that goes through the point (4, 7) and has a slope of 3

sveta [45]

Y - y1 = m(x - x1)
slope(m) = 3
(4,7)....x1 = 4 and y1 = 7
now we sub
y - 7 = 3(x - 4) <==

4 0

4 years ago

Which graph represents the piecewise function? x+3 if x<0 2x if x ≥ 0

kolbaska11 [484]

Answer:

Graph 1 will be the correct one.

Step-by-step explanation:

We are given the piece wise function defined as

f(x) = x + 3 for x < 0 and f(x) = 2x for x ≥ 0

The first part of the function does not include x = 0.

And, this is in slope-intercept form.

So, slope is 1 i.e. tan Ф = 1, ⇒ Ф = 45°.

And it has y-intercept at (0,3).

So, the conditions are shown in graphs 1 and 3.

Now, the second part of the function equation passes through origin {As the equation is f(x) = 2x}

So, only graph 1 matches both the conditions.

Therefore, graph 1 will be the correct one. (Answer)

7 0

3 years ago

Which transformation will always map a parallelogram onto itself?

Vilka [71]

Answer: a 180° rotation about its center

Step-by-step explanation:

A parallelogram has rotational symmetry of order 2.

Thus, rotation transformation maps a parallelogram onto itself 2 times during a rotation of $360^{\circ}$ about its center.

And that is at $180^{\circ}$ and $360^{\circ}$ about its center.

Therefore, a 180° rotation about its center will always map a parallelogram onto itself .

A figure has rotational symmetry when it can be rotated and it still appears exactly the same.
The order of rotational symmetry of a shape is the number of times it can be rotated around $360^{\circ}$ and still appear the same.

5 0

4 years ago

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