Answer:
x = 50°
y = 50°
z = 80°
Step-by-step explanation:
working out x:
angles on a straight line add up to 180°
x + 130° = 180°
subtract 130 on both sides
x = 180° - 130°
x = 50°
working out y:
two vertical lines means that both sides are equal, so both angles are also equal (it's an isosceles triangle). This means that y is the same angle as x = 50°
y = 50°
working out z:
the sum of a triangle add up to 180°
add up the angles of x and y and equate to 180°
50 + 50 + z = 180
100 + z = 180
subtract 100 on both sides
z = 180 - 100
z = 80°
Answer: $542
Step-by-step explanation:
Given the following :
Selling price of refrigerator = $677.50
Markup = 25% of dealers' cost
Dealers' cost of refrigerator =?
Selling price = Dealers' cost + markup
Markup = 25% of dealers' cost
Let dealers' cost = d
Hence,
Selling price = d + 25% of d
Selling price = d + 0.25d
Selling price of refrigerator = $677.50
Then,
$677.50 = d + 0.25d
$677.50 = 1.25d
d = $677.50 / 1.25
d = $542
Answer:
D) The product of two rational numbers is rational.
Answer:
m(∠LMN) = 67.44°
Area of ΔMNL = 16.66 square units
Step-by-step explanation:
By applying Sine rule in the ΔLMN,


SinM = 
SinM = 0.9235
M = 

M = 67.44°
m(∠M) + m(∠N) + m(∠L) = 180°
67.44 + 38 + m(∠L) = 180°
m(∠L) = 180 - 105.44
m(∠L) = 74.56°
Area of ΔMNL = 
= 
= 16.66 square units