Answer:
Part 1) The measure of the exterior angle is 128°
Part 2) The measure of angle x is 30°
part 3) The value of x is 25 units
Step-by-step explanation:
Part 1)
step 1
Find the measure of the third internal angle of the triangle
Remember that the sum of the internal angles of a triangle must be equal to 180 degrees
Let
c----> the measure of the third internal angle
42+(9x-4)°+c°=180°
c=180°-42°-9x+4°
c=142°-9x
step 2
Find the value of x
we know that
c+(12x+8)°=180° ----> by supplementary angles
substitute
142°-9x+(12x+8)°=180°
3x=30°
x=10°
step 3
Find the measure of the exterior angle
(12x+8)°=(12(10)+8)°=128°
Part 2) Find the value of x
The figure show a equilateral triangle ( has three equal internal angles and three equal sides) and an isosceles triangle ( has two equal internal angles and two equal sides)
Remember that
The internal angles of a equilateral triangle is 60 degrees
so
The vertex angle of the isosceles triangle is equal to
180°-60°=120° ----> by supplementary angles
therefore
The base angle of the isosceles triangle is equal to
2x+120°=180°
2x=60°
x=30°
Part 3) we know that
if AB is a midsegment
then
(4x-10)/2=45
solve for x
4x-10=90
4x=100
x=25 units
Step-by-step explanation:
sum of internal angles of any triangle = 180 degrees
sum of an exterior angle and an interior angle = 180 degrees
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Answer:
$60
Step-by-step explanation:
The total she started with is the sum of the amount she spent and the amount remaining:
$25.80 +$9.25 +$18.85 +$6.10 = $60.00
Ashley brought $60.00 to the mall.
The answer d. Hope that helped!
The surface area of a cylinder is given by:
A = 2 * pi * r * (r + h)
Where,
r: radio
h: height
Substituting values:
A = 2 * pi * 3 * (3 + 8)
Rewriting:
A = 2 * pi * 3 * (11)
A = 66pi square units
Answer:
A = 66pi square units