What is the word problem?
Answer:
C) z = 1/2
Step-by-step explanation:
4z + 5 = 7
4z = 2
z = 1/2
1) -6y + 17 = 3y - 10
Subtract 3y from both sides.
-6y - 3y + 17 = -10
Subtract 10 from both sides.
-6y - 3y = -12 - 10
Simplify.
-9y = -27
Divide both sides by -9.
y = 3
2) 3x - 32 = -7x + 28
Add 7x to both sides.
3x + 7x - 32 = 28
Add 32 to both sides.
3x + 7x = 28 + 32
Simplify.
10x = 60
Divide both sides by 10.
x = 6
3) 3.2 - 16 = 4a
Simplify.
-12.8 = 4a
Divide both sides by 4.
a = -3.2
4) 16.8 - v = 6v
Add v to both sides.
16.8 = 6v + v
Simplify.
16.8 = 7v
Divide both sides by 7.
v = 2.4
To check all answers, simply plug in the value of the variable that you found, then simplify.
~Hope I helped!~
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
