Raise 5 to the power of 4 and get 625
Answer:
-15a^2+20ab
Step-by-step explanation:
Given data
We are given the expression
(-3a + 4b) to be multiplied by 5a
hence we have
(-3a + 4b)*5a
open bracket
-15a^2+20ab
Hence the answer is
-15a^2+20ab
Answer: A and B.
The scale factors can be found by writing the corresponding bases of the two rectangles as a ratio, which gives either 2:10 or 10:2. Ratios can also be written as fractions, so the scale factors then become either 1/5 or 5. The answers are A and B.
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.
- The measures of the arcs of a circle total 360°
- A diameter cuts a circle into two congruent semicircles
- The measure of an inscribed angle is half the measure of the arc it intercepts
<h3>application</h3>
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.
Answer:
Yes.
Step-by-step explanation:
We can check by dividing 40.7 by 10.
=> 40.7 ÷ 10
=> 4.07
Therefore, Ethan is correct.
Hoped this helped.