Answer:
The base angles are 36° each
Step-by-step explanation:
An isosceles triangle is a triangle that has two of its sides and base angles to be equal.
If an isosceles triangle has a vertical angle of 108°, then the base angles will share the remaining angle in the triangle equally.
Since the sum of angles in a triangle is 180°
The remaining angle in the triangle = 180°-108°
= 72°
Since the base angles are equal, this remaining two angles will share angle 72° equally.
The base angles = 72°/2
The base angles = 36°
This shows that the base angles are 36° each.
Answer:
m < EAD = 29 degrees
m < CAB = 119 degrees
Given :
The question states that m < CAE = m<FAB = 61 degrees and m<DAF = 90 degrees
Solution:
1. Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)
2. m<BAC + m<EAC = 180 degrees (sum of linear pair)
3. m<CAB = 180 degrees - m<EAC
4. Equation 1: m<CAB = m<EAF = 119 degrees
5. m<EAF = m<EAD + m< DAF
6. m<EAD = m<EAF - m<DAF
7. m<EAD = 119 degrees-90 degrees = 29 degrees
Hope this helps!!! :)
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Answer:

Step-by-step explanation:
Given

Required
Find 
From the attachment:
The measure of
is calculated using the following expression:

Where
-- right-angled.
The expression becomes



Answer:
v= 13
w= -32
Step-by-step explanation:
2v+6w=-36
5v+2w=1
2w= 1-5v
2v+ (3)(1-5v)= -36
2v+3-15v= -36
3-13v =-36
3--36= 13v
39= 13v
13 = V
5×13+2w=1
65+2w=1
1-65= 2w
-64=2w
-32=w
Answer:
D
Step-by-step explanation:
the n th term ( explicit formula ) of a geometric sequence is
•
= 

where r is the common ratio and
the first term
here r =
=
=
and
= 64, hence
= 64
→ D