Answer:
69°
Step-by-step explanation:
To obtain the value of w, we must first obtain the value y as shown in the attached photo.
The value of y can be obtained as follow:
y + (w + 37) = 180 (sum of angle on a straight line)
y + w + 37 = 180
Make y the subject by rearranging
y = 180 – 37 – w
y = 143 – w
Finally, we shall determine the value of w as follow:
w + (w – 32) + y = 180 (sum of angles in a triangle)
y = 143 – w
w + (w – 32) + (143 – w) = 180
w + w – 32 + 143 – w = 180
Rearrange
w + w – w – 32 + 143 = 180
w + 111 = 180
Collect like terms
w = 180 – 111
w = 69°
Therefore, the value of w is 69°
Answer:
A) 
B) 
Step-by-step explanation:
a) <u><em>According to Outside Angles theorem:</em></u>
=> m∠VYW = 
Where mVX = 79, VW = 173
=> m∠VYW = (173-79)/2
=> m<VYW = 94/2
=> m∠VYW = 47 degrees
b) <u><em>According to Angles of Intersecting Chords Theorem:</em></u>
=> m∠VZW = 
Where m∠VZW = 64, VW = 51
=> 64 = 1/2(51+XY)
Multiplying both sides by 2
=> 64*2 = 51+XY
=> 128 = 51+XY
=> XY = 128-51
=> XY = 77 degrees
That's true. The definition of an isosceles triangle is that it has at least 2 sides equal in length. Therefore, isosceles can be equilateral, but equilateral cannot be isosceles.
Answer:
15
x
+
10
y
Factor
5
out of
15
x
.
5
(
3
x
)
+
10
y
Factor
5
out of
10
y
.
5
(
3
x
)
+
5
(
2
y
)
Factor
5
out of
5
(
3
x
)
+
5
(
2
y
)
.
5
(
3
x
+
2
y
)
Step-by-step explanation:
Answer: (i) A = 2500 (
(ii) A =$ 4,974.47
Step-by-step explanation:'
The exponential function is given as :
A = P
Where :
A = amount
P = principal
r = rate %
n = number of years
substituting , the exponential function to model the situation becomes
A = 2500 (
(ii) when n = 20 , the Amount becomes
A = 2500(
A =$ 4,974.47
