Simplify: (22 + 34)−2 A) (56)^−2 B) 852 C) 1 7225 D) 1 85
Answers
Answer:
A) (56)^−2
Step-by-step explanation:
(22 + 34)^−2
Parentheses first
22+34= 56
56 ^-2
U have to do the parentheses first so that’s how you get 56
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Answers
The square root of 75 / 3 ======> Irrational number
square root of 75 / 3
Index Value (n): 75
Number (x): 3
Given Value square root 75 / 3 =======> is IRRATIONAL
The Value is: 1.0147559739645253
Hope that helps!!!!! : )
Answers
Fiction books F, Non Fiction NF
F: NF = 11 : 1
Total ratio 11+ 1 = 12.
Fraction of Fiction books F, = 11/12
Total books = 312.
Fiction books = 11/12 * 312 = 286
Fiction books = 286
good homworks.
Answers
First, subtract 7 from both sides. / Your problem should look like:
Second, subtract 11 - 7. / Your problem should look like:
Third, divide both sides by -4. / Your problem should look like:
Fourth, change the fraction to a negative. / Your problem should look like:
Fifth, cancel 4 out. / Your problem should look like:
Answer: x = -1
-4x+7=11 (subtract 7 on both sides)
-4x=4 (divide -4 on both sides)
x=-1
b) 3x – 14 + 4x = 30 + 5x
c) 2x + 6 = -x + 10 + 3x – 4
Answers
Answer:
A) Any value of x makes the equation true. All real numbers Interval Notation: (−∞,∞)
B) Isolate the variable by dividing each side by factors that don't contain the variable. x = 22
C) Any value of x makes the equation true. All real numbers Interval Notation: ( −∞,∞)
A and C are identities and have infinite solutions, while B is neither, and has one solution.
Step-by-step explanation:
Step-by-step explanation:
-2x+5x-9x+6x=20-4-16
-3x=0
x=0+3=3
Answers
Final answer:
The triangles ΔLMN and ΔPQR are similar as per the AA similarity postulate. This is because ΔLMN and ΔPQR have two pairs of congruent corresponding angles: ∠LMN and ∠PQR, and ∠LM and ∠PQ, contemporaneously proving the AA (Angle-Angle) similarity postulate.
Explanation:
The given problem involves two triangles ΔLMN and ΔPQR. Here, ΔLMN is the original triangle, and ΔPQR is a dilated version of ΔLMN by a scale factor of one-half centered at point M.
For the AA (Angle-Angle) similarity postulate, we need to confirm that two angles of one triangle are congruent to two angles of another triangle. If we can establish this, we can deduce that the two triangles are similar.
Firstly, it is given that m∠LMN is 90°. As a property of dilation, it preserves the measures of angles. This means that m∠PQR will also be 90°. Secondly, since the dilation happens at point M, ∠M of ΔLMN will be the same as ∠P of ΔPQR. Thus, we have two sets of corresponding angles (LMN and PQR, and LM and PQ) that are congruent, satisfying the AA similarity postulate. Therefore, we can conclude that ΔLMN is similar to ΔPQR by the AA similarity postulate.
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Final answer:
The triangles ΔLMN and ΔPQR can be proven similar by the AA similarity postulate.
Explanation:
The triangles ΔLMN and ΔPQR are similar to each other by the AA (Angle-Angle) similarity postulate.
AA similarity postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
In this case, since ΔPQR is a dilation of ΔLMN with a scale factor of one half, the angles of ΔPQR are congruent to the corresponding angles of ΔLMN.
Therefore, we can conclude that ΔLMN ~ ΔPQR by the AA similarity postulate.
Learn more about Similarity of triangles here:
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Answers
27÷3=9