Answer:
Plant C is <u>0.64</u> times as tall as Plant B
Plant C is <u>2.4 inches</u> shorter than Plant B
Step-by-step explanation:
Plant B is 6 2/3 inches tall. Plant B is 20/3 inches tall.
Plant C 4 4/15 inches tall. Plant C is 64/15 inches tall.
a.) Plant C is shorter than Plant B = 0.64 times.
b.) Plant C is shorter than Plant B by = inches
Hey!
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Solution:
The ratio is FEMALES to MALES.
So its 18/16, 18:16, or 18 to 16.
~Now we need to simplify.
18:16 → 18/2:16/2 → 9:8
*Note* When you have a ratio you need to know which comes first. If you put males to females that incorrect. It has to be correct according to the question.
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Answer:
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Hope This Helped! Good Luck!
Answer:
(d) m∠AEB = m∠ADB
Step-by-step explanation:
The question is asking you to compare the measures of two inscribed angles. Each of the inscribed angles intercepts the circle at points A and B, which are the endpoints of a diameter.
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<h3>applicable relations</h3>Several relations are involved here.
In the attached diagram, we have shown inscribed angle ADB in blue. The semicircular arc it intercepts is also shown in blue. A semicircle is half a circle, so its arc measure is half of 360°. Arc AEB is 180°. That means inscribed angle ADB measures half of 180°, or 90°. (It is shown as a right angle on the diagram.)
If Brenda draws angle AEB, it would look like the angle shown in red on the diagram. It intercepts semicircular arc ADB, which has a measure of 180°. So, angle AEB will be half that, or 180°/2 = 90°.
The question is asking you to recognize that ∠ADB = 90° and ∠AEB = 90° have the same measure.
m∠AEB = m∠ADB
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<em>Additional comment</em>
Every angle inscribed in a semicircle is a right angle. The center of the semicircle is the midpoint of the hypotenuse of the right triangle. This fact turns out to be useful in many ways.
