Answer:
8
Step-by-step explanation:
m=30 n=1/4
0.1*30+8-12*1/4
3+8-12*1/4
=3+8-3
=8
Answer:
-19/248
Step-by-step explanation:
You know vertical Angles SRU and TRV are congruent.
You are given that Sides UR and VR are congruent.
You are given that Angles SUT and SVT are congruent.
An appropriate choice is the ASA postulate, since you have congruent angles with congruent sides in between.
Answer:
Gina is 12 years old
Step-by-step explanation:
First, we will have to write these statements mathematically and then solve.
Let Gina's age be x, let Gina's brother's age be y and let Gina's sister's age be z.
The second statement"Gina's older sister is twice Gina's age" can be mathematically written as: z =2 x ---------------------------(1)
The next statement "Gina's brother is half Gina's age" can be mathematically written as y =
---------------------------------------(2)
Then the next statement "the sum of their ages is 42" can be mathematically written as: x + y + z = 42 ----------------------------(3)
We can now proceed to solve;
Substitute equation (1) and equation(2) into equation (3)
x + y + z = 42
x +
+ 2x = 42
Multiply through by 2
2x + x + 4x = 84
7x = 84
Divide both-side of the equation by 7
= 
x = 12
Therefore, Gina is 12 years old
Answer:
25,625
Step-by-step explanation:
If your current salary is the 100%, and you get a 2.5% increase, that means the new salary would be 102.5% of 25,000. This percentage could also be written as 1.025, which you would multiply to 25,000 to get your new salary.
1.025 · 25,000 = 25,625
Therefore, your new salary would be $25,625