Answer:
<h2>A. 4 in</h2>
Step-by-step explanation:
Collinear points are points that lies on the same straight line. If the points E, F and G are collinear points, then the three points lies on the same straight line.
If E is between F and G, the FE+EG = FG
EG = FG - FE
Given FE = 3 in and FG = 7 in
On substituting into the expression above to get EG;
EG = 7in - 3in
EG = 4in
Hence the length of EG is 4in
Answer:
3 decimal places
Step-by-step explanation:
square root of 11.737476 is 3.426
To a decimal you can round it down to .5 but if its a fraction no.
Answer:
10 weeks
Step-by-step explanation:
14 + 5w = 64
w=10
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.
__
<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
_____
<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.