Answer:
3)0.4 and 1.8
Step-by-step explanation:
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Split the second term in 3m^2 + 5 - 8m into two terms
3m^2 - 3m - 5m + 5
Factor out the common terms in the first two terms, then in the last two terms.
3m(m - 1) - 5(m - 1)
Factor out the common term m - 1
<u>(m - 1)(3m - 5)</u>
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.
Step-by-step explanation:
Square root means that the number that if you divide it. The number that if you divide it. The number you get multiply it self, will give you the answer. 8 doesn't have a square root, because 2×2= 4,4×4= 16.so 8 doesn't have a square root. But 9 has. 1×1= 1,2×2= 4,3×3= 9.Square root of 9 is 3