The following two triangles have the same angles, and are similar. What is the ratio of height to base for the triangles?
2 answers:
Answer: The correct option is (A) 0.75.
Step-by-step explanation: Given that the two right-angled triangles in the figure are similar. We are to find the ratio of the height to the base for the triangles.
In the first triangle,
height, h = 6 units and base, b = 8 units,
In the second triangles,
height, h' = 3 units and base, b' = 4 units.
Since the two triangles are similar, so the corresponding sides will be proportional.
We can see that
Hence, we can write
Therefore, the ratio of the height to the base of the triangles is 0.75.
Thus, (A) is the correct option.
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Hello! Remember to write complete questions in order to get good and exact answers. Here the figure is missing so I'll assume the arc measure of DBC is given in radian and you want it in degrees. By definition, an arc's measure is <em>the measure of its central angle </em>being a central angle an <em>angle between two radii in a circle</em>. Suppose that angle measures:
Answer:B & E
Step-by-step explanation:
We can first rearrange the function to isolate y. Then, we can find the slope as the function is in the form y=mx+b.
Since parallel lines have the same slope, we can put the slope of 3/4 into the point slope form to get the answer.
<em>For reference, the point-slope form is </em>
The first line is found in option E, so option E is one of the correct options.
We can also move the x to the other side, as two of the 5 options have both variables on the left (B and C).
If we multiply the whole equation by -4, we can get rid of the fraction.
Hence, option B is also correct.