21. In a parallelogram, opposite angles are equal and adjacent angles are supplementary (add to 180°).
m∠R = m∠P = 180° -m∠Q
m∠Q = 107°
m∠P = 73°
25. If you draw any diagonal, it divides the figure into two congruent triangles (by the SSS postulate). Corresponding angles are congruent, so the diagonal is a transversal between parallel lines. Thus opposite sides are parallel and the figure is a parallelogram.
27. Opposite sides are equal, and the diagonals bisect each other. Your four equations are
2w+4 = 5w-6 . . . . w = 10/3
12 = 3x-3 . . . . . . . x = 5
6y = 4y+6 . . . . . . . y = 3
27 = (5/4)z +2 . . . z = 20
we conclude that the solution for the given algebraic expressions are:
- J = -5
- s = -106
- t = 38
- r = -60
- a = 57
<h3>
How to solve these algebraic expressions?</h3>
Here we have some simple algebraic expressions:
The first one is:
-25/J = 5
We want to solve this for J.
Remember that we can perform the same operation in both sides of the equation, then we cans tart by multiplying both sides by J.
(-25/J)*J = 5*J
-25 = 5*J
Now we can divide both sides by 5, so we isolate J:
(-25)/5 = (5*J)/5
-5 = J
We conclude that the solution is J = -5.
Now, similarly for the other equations we have that:
16 + s = -90
Here we subtract 16 in both sides:
s = -90 - 16 = -106
13 + t = 51
Here we subtract 13 in both sides:
t = 51 - 13 = 38
r/10 = (-6)
Here we multiply both sides by 10:
r = (-6)*10 = -60
a + (-12) = 45
Here we add 12 in both sides:
a = 45 + 12 = 57
Then we conclude that the solution for the given algebraic expressions are:
- J = -5
- s = -106
- t = 38
- r = -60
- a = 57
If you want to learn more about algebraic expressions:
brainly.com/question/4344214
#SPJ1
Answer:
1,4 and 1,0
Step-by-step explanation: if the x is the same then it is not a function.
The answer is 70.
Hope this helped :)
<span>Loan Amount: $13,000
Method of payment: discount basis
Amount of Interest: $625
</span><span>
Term of loan: 1 year
</span>
∴ Rate if interest =
So, the correct answer is option (1) 4.8<span />
