Answer:
16 degrees
Step-by-step explanation:
180 degrees = 164 degrees + x,
x = (180 - 164) degrees,
x = 16 degrees
Answer: A
Explanation: using the common ratio we can solve this. 24:8 = x:4
24 divided by 8 is 3.
Therefore x divided by 4 should be 3 too.
4 multiplied by 3 is 12, so x = 12.
For y:
When triangles are similar, the angles are always the same. So y is simply 40 degrees.
Answer:
girls = 125
boys = 87
Step-by-step explanation:
Total number of students in the 8th grade class = 212
Let g represent girls and b represent boys
Number of girls, g = 2b -49
Note that boys and girls in the class give a total of 212
So,
g + b = 212 ....eq 1
Slot in the value of g in the equation
2b - 49 + b = 212
2b + b - 49 = 212
3b - 49 = 212
Add 49 to both sides
3b - 49 + 49 = 212 + 49
3b = 261
Divide both sides by the coefficient of b which is 3
b = 87
Now that we've found the number of boys, let's find that of girls
We will slot in the value of b in eq 1
g + 87 = 212
Subtract 87 from both sides
g + 87 - 87 = 212 - 87
g = 125
So the number of boys is 87 and the number of girls is 125
