Answer:
See explanation
Step-by-step explanation:
Consider two triangles ABF and EDF. These triangles are two right triangles, because angles B and D are right anges.
In these triangles,
- ∠ABF ≅ ∠EDF - as two right angles;
- BF ≅ FE - given;
- ∠AFB ≅ ∠EFD - as vertical angles when two lines AD and BE itersect.
By ASA postulate (or HA postulate) these triangles are congruent, so
ΔABF ≅ ΔEDF
Congruent triangles have congruent corresponding parts, so
FA ≅ EF
<h3>I'll teach you how to solve 4m^2 - 10= -6</h3>
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Add 10 to both sides:
4m^2-10+10= -6+10
Simplify:
4m^2= 4
Divide both sides by 4:
4m^2/4= 4/4
Simplify:
m^2= 1
For x^2 = f(a) the solutions are x =
-
:
m=
, m= -
Simplify:
m = 1, m = -1
Your Answer Is m = 1, m = -1
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Eloise made these steps well:
Square root of negative 2x plus 1 - 3 = x
Square root of negative 2x plus 1 - 3 + 3 = x + 3
The error comes in the next step:
Square root of negative 2x plus 1 = x + 3
Square root of negative 2x plus 1 -1 = x + 3 - 1
Square root of negative 2x = x + 2
the number one is inside the root, therefore they can not be subtracted.
answer
error in the step:
Square root of negative 2x = x + 2
The answer is c. they are indeed vertical angles
Bernardo travels the same distance at 25mph as he does at 50mph. However, since 25mph is only half of 50 mph, he must travel twice as long at 25mph. If you call the time he traveled 50mph "t", then
<span>t+2t=3 </span>
<span>3t=3 </span>
<span>t=1 </span>
<span>This means he traveled 1 hour at 50mph. In this time, he traveled 50 miles. He traveled the same distance at 25mph, so his total distance was </span>
<span>50miles+50miles=100miles </span>
<span>so the round trip was 100 miles.</span>