<em>Answer:</em>
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<em>Step-by-step explanation:</em>
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<em>Simplify both sides of the inequality.</em>
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<em>Multiply both sides by 4/(-3).</em>
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<em>Hope this helped you!</em>
Answer:
Routine: started doing his homework.
Surprising: leaped up and started singing in Portugese with one leg in the air.
Step-by-step explanation:
Answer:
A. Line
<------------->
B. Angle
⦟
C. Line Segment
.___________.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Answer: Third option.
Step-by-step explanation:
To solve this exercise it is important to remember the following:
1) By definition, equivalent expression have the same value, but they look different.
2) The multiplication of signs:

Then, given the following expression provided in the exercise:

You need to distribute the postive sign:

And finally, you must add the like terms:

As you can notice, the expression obtained matches with the expression shown in the third option.
Answer:
Part A: See the image attached. The angle between the radius and the chord will always be 90 degree if the radius is perpendicular to the chord
Part B: There are many ways to prove this and here is mine
Prove OC is perpendicular to AB
We know that ΔAEC≅AED by SSS criteria (SSS criteria is when all three sides of a triangle is equal making them congruent)
to prove this that they apply to the SSS criteria:
m∠ADO=m∠BDO
m∠ADO=90°=m∠BDO
Part C: See the image attached. A radius is perpendicular to a chord when the chord is equally divided in half by the radius.
Part D: There are many ways to prove this and here is mine
Prove OC is perpendicular to AB
AO=BO because AO and BO are both radii
OD≅OD by reflexive theorem
ΔADO≅ΔBDO because they are both right triangle with the hypotenuse and a side
AB≅BC means that OC is perpendicular to AB
If you are still confused then I recommend watching these vdos by khan academy about proving perpendicular radius bisector: https://youtu.be/2NgzruZ4_5c
https://youtu.be/TgDk06Qayxw
Hope this helped bye:)