Answer:
B) BC'= 8, m A'= 28°
Step-by-step explanation:
When dilating a figure, it increases its size or decreases. In this case, as it is dilating by a factor of 1/2, you can assume it decreases.
To find the value of the new figure, A'B'C', you have to multiply the factor times the lengths of the triangle, or, the only one they are asking for in this case, the length BC':
- BC' = BC×1/2
- BC' = 16×1/2
- BC' = 8
The angles, otherwise, do not change. When figures are dilated, they are similar. The properties of similar figures are that they have congruent angles, therefore, the same angles. They do not have any effect caused by the factor, so m A' stays at 28°.
Answer:
y -5 = -7(x +5)
Step-by-step explanation:
The point-slope form of the equation for a line is usually used for this purpose. For point (h, k), the line with slope m through it is given by ...
y -k = m(x -h)
Filling in the given numbers, you get the equation ...
y -5 = -7(x +5)
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This can be rearranged to any of several other forms:
y = -7x -30 . . . . . slope-intercept form
7x + y = -30 . . . . standard form
x/(-30/7) + y/(-30) = 1 . . . . . intercept form
X=4/log(2) Hope this helps!
728 km per hour
3640 divided by 5 to find the unit rate for kilometers per hour
