ANSWER
20 units.
EXPLANATION
We want to find the distance between (-8,-8) and (4,8).
We use the distance formula:
We substitute the points into the formula to get:
We simplify to get;
The distance between the two points is 20 units.
Answer:
The measure of a = b = 116 degrees
Step-by-step explanation:
Here, we have value of angles to calculate.
If a and b are both supplementary to c, what this means is that when we add either a or b to c, we get 180
Hence; Mathematically;
a + c = 180 and b + c = 180
What we have here is that a and b must be equal since they are both supplementary to the same angle value
Now, we are told further in the question that the measure of angle a is 12 less than 2 times the measure of c;
Mathematically, this means that;
a = 2c - 12
So we now want to find the measure of b
Let’s substitute for a
2c -12 + c = 180
3c -12 = 180
3c = 180 + 12
3c =192
c = 192/3
c = 64
Thus; a = 2c - 12 = 2(64) -12 = 128 -12 = 116
Answer:
Dia's age is 6.
Step-by-step explanation:
Tia's age= d
Dia's age= d-6
Therefore, after 10 years,
Dia's age= 2/3 Tia's age
Hence,
d-6+10=2/3(d+10)
d+4=2/3(d+10)
3/2(d)+4=d+10
3/2(d)-d=10-4
3d/2-2d/2=6
d/2=6
1/2(d)=6
d=6×2
d=12
Therefore,
Dia's age=d-6
=12-6
=<u>6 yrs old</u>
