Answer:
x = 59°
y = 130°
Step-by-step explanation:
Find x:
Recall: the measure of an inscribed angle = ½(measure of intercepted arc), based in the inscribed angles theorem
Therefore,
x = ½(118°)
x = 59°
Find y:
y = 2(180 - (56 + x)) => inscribed angles theorem
Plug in the value of x
y = 2(180 - (56 + 59))
y = 2(180 - 115)
y = 2(65)
y = 130°
Answer:
1.125 h = 1h 7.5 min = 1 h 7 min 30 sec
Step-by-step explanation:
John makes 1/1.5 work per h.
His partner makes 1/4.5 work per h.
Together they make (1/1.5 + 1/4.5) = (3/4.5 + 1/4.5) = 4/4.5 work per h.
They will work
1 : 4/4.5 = 4.5/4 = 1.125 h = 1 h + 0.125 h = 1h + 0.125h*60min/1h =
=1h 7.5 min = 1 h 7 min 30 sec
For a triangle ot be created the shortest two sides must add up to a number greater than the longest side. IE 1.6 + 5.9 = 7.5, therefore one triangle CAN be drawn.
However the order of the sides can be clockwise or anti-clockwise so more than one trinagle can be drawn .
god bless
Answer:
The amount of sales tax Joanna will pay is $3.323
Step-by-step explanation:
Given:
Cost of the backpack = $37.98
Sales tax = 8.75%
To Find:
Amount of sales tax that Joanna will pay = ?
Solution:
Sales tax imposed by the government on the goods that are sold or on the services that is provided. It is collected by the seller who sells the goods
Sales tax =
On Substituting the values
Sales tax = 
sales tax = 
sales tax = 3.323
(3x^2 + 25x + 8)
(3x + 1 )(x + 8)
hope this helps :)