Answer:
∠1 = 90°
∠2 = 66°
∠3 = 24°
∠4 = 24°
Step-by-step explanation:
Usually the diagonals of a rhombus bisect each other at right angles.
Thus; ∠1 = 90°
Since they bisect at right angles, then;
∠R1S = 90°
Now, sum of angles in a triangle is 180°
Thus;
66° + 90° + ∠4 = 180°
156 + ∠4 = 180
∠4 = 180 - 156
∠4 = 24°
Now, also in rhombus, diagonals bisect opposite angles.
Thus; ∠4 = ∠3
Thus, ∠3 = 24°
Similarly, the diagonal from R to T bisects both angles into 2 equal parts.
Thus; ∠2 = 66°
Answer:
74 eggs are left
Step-by-step explanation:
91-17=74
(AAA) Corresponding angles are congruent.
Therefore, the sides of the triangles are proportional:
cross multiply
use distributive property
subtract 100 from both sides
divide both sides by 100
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(SAS)
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
Therefore we have the equation:
The perimeter of △PQR:
Substitute the value of y to the expression:
Answer:
30
Step-by-step explanation:
This system can be a bit tricky unless you write it out:
(2n + 2)(2n - 2) ~ First you have to take one variable and multiply it to each of the other two variables, like:
2n * 2n ~ And:
2n * -2 ~ This gives you:
4n^2 - 4n
Now we do this with the other:
2 * 2n
2 * -2
4n - 4
Now we combine them both while adding like terms:
4n^2 - 4
Therefore your answer is: A. 4n^2 - 4
(This is due to how when having the positive 4n subtracted by the negative it cancels it out. Leaving us with the remaining two terms left.)
I hope this helps, have a great rest of your day! ^ ^
~Ghostgate
