32 miles = 4 dollars per gallon.
32 * 5 = 160
160 miles on 20 dollars of gas.
Let x=aunt's agethen x-14=Mrs West's ageso we have:60-(x-14)=x-40 simplify60-x+14=x-40 subtract x from each side and also subtract 60 and 14 from each side60-60-x-x+14-14=x-x-40-60-14 collect like terms
-2x=-114x=57------------aunt's agex-14=57-14= 43----------Mrs West's ageck60-43=57-4017=17
The diagonals of a trapezoid are only congruent (have the same length) if the trapezoid is an isosceles trapezoid.
Answer:
Slope is undefined
Step-by-step explanation:
Slope is calculated by 
so now you put the points (-10,4) and (-10,8) into that.
Since both x values are the same you can tell that the line is a vertial line meaning the slope is undefined.
Answer:
landing on a shaded portion and landing on an even number
; landing on a shaded portion and landing on a number greater than 3
; landing on an unshaded portion and landing on an odd number
; and landing on an unshaded portion and landing on a number less than 2.
Explanation:
Mutually exclusive events are events that cannot occur at the same time. Our spinner has two grey sections, on 1 and 3; and two white sections, on 2 and 4.
This means that the spinner cannot land on a shaded (grey) portion and land on an even number at the same time, since the grey sections are numbered 2 and 4, both of which are even numbers.
The spinner also cannot land on a shaded (grey) portion and land on a number greater than 3 at the same time; this is because the only number greater than 3 on the spinner is 4, which is a white portion.
The spinner cannot land on an unshaded (white) portion and land on an odd number, since the white sections are labeled 2 and 4, which are both even.
The only number on the spinner less than 2 is 1, which is grey; this means the spinner cannot land on a number less than 2 and an unshaded (white) portion at the same time.
