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!
Answer:
-3g-4
Step-by-step explanation:
(-2g+7)-(g+11)= -2g+7-g-11= -3g-4
Answer: x=2.5
Step-by-step explanation:
First we need to set up and equation
10= 60 - 20x
where x is the amount the cookies cost
subtract 60 from both sides
-50=- 20x
now divide each side by 20 so hat we can isolate the x
-50/-20= x
x= 2.5
now to check just multiply it by 20 then subtract from 60.
2.5 x 10= 50
60-50=10
I think this is how you do it.
Answer:
Now we have everything in order to replace into formula (1):
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
s=2.75 represent the sample standard deviation
n=10 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence is 0.90 or 90%, the significance is 
and 
, and the critical vaue would be 
Now we have everything in order to replace into formula (1):
