Answer:
80 degrees
Step-by-step explanation:
one half of the circle makes a straight line and that will equal 180 degrees so 60+45=105
180-105=80
so the missing angle is x=80
1, it is shifted 4 units up
Answer:
Area of parallelogram is 150 square ft
Step-by-step explanation:
Given the parallelogram in the figure whose height is 10 ft and base length is 15 ft.
Area of parallelogram is 
= 
= 150 square ft
now we have to decompose this parallelogram into rectangles and triangles and then to determine the shape.
The given parallelogram KLMN can be decomposed into 2 triangles and one rectangle.
2 right angled triangles KPL and NOM by construction

⇒
(∵ KLMN is a parallelogram)
Hence, dimension of triangles are 10 ft, 2 ft and 10.2 ft
Now rectangle KPON with dimension 15 ft and 10 ft because KP and NO are perpendiculars on LM.
Answer: Equation that represents this situation is 5(x+17) = 1495,
Price of one ticket is 282
Step-by-step explanation:
Here x represents the price of one ticket,
Also, a person bought travel insurance that costs $17 per ticket.
Hence, the total cost of a person = x + 17
⇒ The total cost of 5 person = 5 ( x + 17 )
But, According to the question,
5 ( x + 17 ) = 1495
⇒ x + 17 = 299
⇒ x = 299 - 17
⇒ x = 282
Hence, the price of one ticket = $ 282
Keep in mind the the word "percent" translates to "for each 100." 25% can be read as "25 for each 100," which has the fractional representation

and the decimal representation 0.25. All of these representations are just different ways of writing the same value.
Note too that the fraction

can be reduced to

, so what the question is really asking is: 1/4 of what number is 9?
Well, if we know that 1/4 of the number is 9, we can easily find how large the whole number is by finding all 4/4 of it (the <em>whole</em> number)<em /><em />, or 4 x 9, which multiplies out to
36.