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carolhubble
02.02.2020 •
Mathematics
What property was applied to solve the equation below? i really need . picture included.
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Ответ:
D. Division property of Equality
Yes, this is correct because a division by -3/8 was applied and that's why it turned the solution into multiplication by using its reciprocal (-8/3).
Step-by-step explanation:
1. Let's find out the property applied to solve the equation:
-3/8x = 48
-3/8 * (-8/3)x = 48 * (-8/3)
x = -128
A. Addition property of Equality
No, this is not correct because no addition was used.
B. Subtraction property of Equality
No, this is not correct because no subtraction was applied.
C. Multiplication property of Equality
No, this is not correct because in case it was applied, it should have being done this way:
-3/8x = 48
-3/8 * (-3/8)x = 48 * (-3/8)
9x/64 = -144/8
D. Division property of Equality
Yes, this is correct because a division by -3/8 was applied and that's why it turned the solution into multiplication by using its reciprocal (-8/3).
Ответ:
Step-by-step explanation:
Quadrilateral EFGH is a rectangle.
Therefore, measure of all interior angle of the rectangle = 90°
7). m∠FEG + m∠GEH = 90°
57° + m∠GEH = 90°
m∠GEH = 90° - 57°
m∠GEH = 33°
Diagonal of the rectangle are equal in measure and bisect each other.
8). m(FH) = m(FK) + m(KH)
= 32 + 32 [Since, FK ≅ KH]
= 64
9). m∠FGH + m∠EFG = 90° + 90°
= 180°
MNOP is a Rhombus, so the diagonals will be perpendicular and bisect each other.
10). m∠MRN = 90°
11). m(PR) = 12
Therefore, m(RN) = 12
"Diagonals of a rhombus bisect the opposite angles"
12). m(∠PON) = 124°
Therefore, m(∠POM) = 124°
"ABCD is an isosceles Trapezoid"
13). Therefore, ∠C ≅ ∠D
14). AB║CD
15). AD ≅ BC