Answer:
Step-by-step explanation:
At Greg's Gas Station premium gasoline costs $0.14 more per gallon than regular gasoline .
Let the cost of regular gasoline be $x per gallon, then the cost of premium gasoline per gallon will be x + 0.14
If Mr. Adams spent $36.25 on 12.5 gallons of regular gasoline, it means that 12.5x = 36.25
x = 36.25/12.5 = $2.9
The cost of regular gasoline is $2.9 per gallon
Therefore, cost of premium gasoline per gallon will be 2.9+ 0.14 = 3.04
if he bought 12.5 gallons of premium gasoline instead, he would have paid
12.5× 3.04 = $38
The amount that he would have spent more will be
38 - 36.25 = $1.75
This is a proportion problem
3/10= 12/x
Now cross multiply and divide
12 x 10= 120
120/3= 40
Answer is 40
Here’s what you can do to make this very simple. Consider that the “missing” space between the rectangles isn’t there. Then, find the area:
10 x 9 = 90 mm
Now, find the area of the “missing” part.
5 x 2 = 10 mm
Finally, you deduct the missing part from the complete rectangle!
90 - 10 = 80 mm
The area of this whole thing is 80 mm!
Answer:
x= 81°, z= 99°, y°=68°
Step-by-step explanation:
considering the part of the triangle where 36° , 63° and x° is located as ΔABC.
to find the measure of x we use angle sum property.
We know that the sum of the angles of a triangle is always 180°. Therefore, if we know the two angles of a triangle, and we need to find its third angle, we use the angle sum property. We add the two known angles and subtract their sum from 180° to get the measure of the third angle.
so,
∠A + ∠B +∠C = 180°
36° + 63° + x° = 180°
99° + x° = 180°
x° = 180 - 99
x° = 81°
When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°.
x° + z° = 180°
81° + z = 180°
z= 180 - 81
z= 99°
considering the next part of the triangle where 13° , z° and y° is located as ΔACD
to find the measure of y we use angle sum property.
∠A + ∠C + ∠D = 180°
13° + z° + y° = 180°
13°+99°+y°= 180°
112°+ y° = 180°
y°= 180- 112
y° = 68°
Answer:
x=-27
Step-by-step explanation:
x/-9=3
x=3*-9=-27
