Answer:
If they're equal set them equal to each other if they're supplementary you set up an equation. Where you add them up and set them equal to 180. And then you just want to solve for X.
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

-

=

Multiply both sides by 8 to get t out of the fraction
t -

=

Simplify the numerators
t -

=

Divide the fractions
t - 6 = 4

Add 6 to both sides
t = 10
Given: In ΔDEF and ΔDGF, Side DF is common.
To prove congruent of the triangle, we must require the minimum three conditions; like two sides and one angle of one triangle should be equal to the other triangle. OR Three sides of one triangle should be equal to the other triangle. OR Two angles and one side of one triangle should be equal to the other triangle. etc.
As per given question, to prove congruent of given triangles by SAS property then we should have given two sides and one angle of one triangle should be equal to the other triangle as additional information.
Since, In ΔDEF and ΔDGF, Side DF is common. So, we should require only one side and one angle that should be equal to another triangle.
Answer:
1. $50
2. B.
Step-by-step explanation:
1. Since Mallory has 5 dollars, and that’s 1/10 of her monthly allowance, then you multiply 5 by 10 to get 50 as her monthly allowance.
2. Since Addie has $12.59 in her wallet, the 9 has B. (9*0.01) value.