Answer:
minimum temp: 278 degrees. Maximum temp: 292 degrees
Step-by-step explanation:
First, what goes in the absolute value? It is the difference between 285 and the actual temperature, because this needs to be no larger than 7. Your starting equation will look like this.
You then have to split this into 2 different equations.
and 
The reason the second one is flipped an negative is because for it to be no more than 7 degrees below, the difference will need to be closer to zero, which means greater than -7.
Now you simply solve your 2 separate equations.
Starting with the first one:
And the second equation:
Answer:
x=14
Step-by-step explanation:
you should set up your problem like this:
5x=3x+28
use order of operations aka PEMDAS to solve
you're answer is 14
Answer:
YZ ≅ AB
Step-by-step explanation:
A translation is a correspondence between two mathematical figures, for instance, the coordinates of each point in a straight line of one figure that is added to the coordinates of the corresponding point on the other figure.
But here, we are given a Δ XYZ which is translated to ΔCAB. This tells us more about how the corresponding points preserve their congruence nature.
i.e.
X corresponds to C
Y corresponds to A
Z corresponds to B
Similarly;
XY corresponds to CA
YZ corresponds to AB
XZ corresponds to CB
Since both triangles preserve their congruence nature, then all corresponding points are congruent as well.
Therefore, from the choice of options given, only YZ corresponds to AB is the right answer.
i.e.
YZ ≅ AB
You can substitute the value of y(5/6 x + 1) from the first equation for y in the second and get
which becomes
and you get
