Answer:
a) 35, b) 25, c) 60
Step-by-step explanation:
The number of girls is 10 more than the number of boys, so it's a good thing to choose a variable to represent the number of boys.
Number of boys: b
Number of girls: b + 10
Ratio of girls:boys is 7:5, so

"Cross multiply" to get

There are 25 boys. There are 10 more girls, so the number of girls is 35, and the total number of students is 60.
That's a packed classroom!
Answer:
b
Step-by-step explanation:
∠ BAD = 90° and
∠ DAC + ∠ CAB = ∠ BAD, that is
x + 2x - 30 = 90
3x - 30 = 90 ( add 30 to both sides )
3x = 120 ( divide both sides by 3 )
x = 40 → b
Answer:
3y = -2x -7
Step-by-step explanation:
The equation of the line;
y =
x + 8
Unknown:
Equation of the line passing through (4, -5);
Solution:
To solve this problem;
the equation of a line is given as;
y = mx + c
where x and y are the coordinate
m is the slope
c is the intercept
To solve this problem,
The slope
if the same as that of the new line since they are parallel;
Equation of the new line;
x = 4 and y = -5
-5 =
x 4 + c
-5 =
+ c
c = -5 + 
c = 
So, the equation of the line is;
y =
x - 
or ;
3y = -2x -7
9514 1404 393
Answer:
x = 33
Step-by-step explanation:
The angles are complementary.
x° = 90° -57°
x = 33