If points d and f are on side ab and points e ang g are on side ac then line segment de and fg are parallel.
Given There is a triangle abc.
Parallel lines are those lines that do not meet at any point. If we draw a triangle abc and plot points d and f are marked on side ab and points e and g are marked on side ac then the line segment fg is parallel to de because both the line segments are drawn from the points which are on the sides opposite to each other. We have assumed a simple triangle because no description is given for the triangle.
Hence the line segment fg is parallel to de if drawn points d and f marked on ab and points e and g are marked on ac.
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Answer:
It takes an account 5.4 years to earn $178.25 in interest with an annual interest rate of 5%.
Step-by-step explanation:
You can use the following formula to calculate the time it takes an account to earn a certain amount in interest:
t=(1/r)*((F/P)-1), where:
t= time
r= rate of interest= 5%
F= future value= 650+178.25=828.25
P= present value= 650
Now, you can replace the values on the formula:
t=(1/0.05)*((828.25/650)-1)
t=20*0.27
t=5.4
According to this, the answer is that it takes an account 5.4 years to earn $178.25 in interest with an annual interest rate of 5%.
Answer:
i think 480 total calories
Step-by-step explanation:
i wish it's true
Answer:
AAS(Angle-Angle-Side) postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then the two triangles are congruent
In triangle RAS and triangle QAT
[Angle]
[Side] [Given]
By Base Angle Theorem states that in an isosceles triangle(i.e, AST), the angles opposite the congruent sides(AS =AT) are congruent.
⇒ 
[By base ∠'s of isosceles triangle are equal]
By definition of supplementary angles, if two Angles are Supplementary when they add up to 180 degrees.
, 
are supplementary and 
, 
are supplementary.
⇒
and
Two 
supplementary to equal
Since, 
then, we get;
[Angle]
then, by AAS postulates,
By CPCT[Corresponding Part of Congruent Triangles are equal]
Hence Proved!
