Answer:
x = 18 and y = 11
Step-by-step explanation:
The angles 6x - 16 and 92 are vertical angles and congruent, thus
6x - 16 = 92 ( add 16 to both sides )
6x = 108 ( divide both sides by 6 )
x = 18
Angles 8y and 92 form a straight angle and are supplementary, thus
8y + 92 = 180 ( subtract 92 from both sides )
8y = 88 ( divide both sides by 8 )
y = 11
15x + 30y = -10....reduce by dividing by 5
3x + 6y = -2...same as first equation...same line ..means infinite solutions
Answer:
3n^2 - 5n - 28
Step-by-step explanation:
(n - 4)(3n + 7)
3n^2 + 7n - 12n - 28
3n^2 - 5n - 28
hope this hepls!!!
Answer:
1) 28.4 miles per gallon
2) 34 miles per gallon
3) the red car
Step-by-step explanation:
Blue car:
Travels 35 1/2 miles on 1 1/4 gallons of gasoline
Red car:
Travels 27 1/5 miles on 4/5 gallons of gasoline
We want to know the unit rate for miles per hour, and to do it we have to divide the miles they travel by the gallons each car uses:
Blue car:
(35 1/2) / (1 1/4) = 28.4 miles per gallon
Red car:
(27 1/5) / (4/5) = 34 miles per gallon
The red car travels greater distance with 1 gallon of gasoline {and thats about it!}
Answer:
109.5; B
Step-by-step explanation:
From your identity,
CosA = adjacent/ hypothenus
A represent an arbitrary angle between the sides in question.
In the question above, A=64
Hypothenus is the longest side and adjacent is the side just below the angle .
In the above case,
Hypothenus= X
adjacent =48
This means;
Cos64 = 48 /X
X = 48 / cos64; [ from cross multiplication and diving through by cos64]
X = 48 /0.4383 [ cos64 in radian = 0.4383]
= 109.51
= 109.5 to the nearest tenth.
Note( do your calculation of angle in radian or else, you won't get the answer)
