Answer:
Step-by-step explanation:
4). a). If the diagonals of a parallelogram are congruent, then it must be a RECTANGLE.
b). If the diagonals of a parallelogram are perpendicular, then it must be a SQUARE.
c). If the diagonals of a parallelogram bisect the angles of the parallelogram, then it must be a RHOMBUS.
d). If the diagonals of a parallelogram are perpendicular and congruent, then it must be a SQUARE.
e). If a parallelogram has four congruent sides, then it must be a SQUARE.
5). Given quadrilateral SELF is a rhombus.
a). All sides of a rhombus are equal,
Therefore, ES = EL = 25
b). Diagonals of a rhombus bisects the opposite angles,
Therefore, m∠ELS = m∠FLS
3x - 2 = 2x + 7
3x - 2x = 7 + 2
x = 9
c). Diagonals of the rhombus bisect the opposite angles, and adjacent angles are supplementary.
m∠ELF = 2(m∠ELS) = 2(2y - 9)
m∠LES = 2(m∠LEF) = 2(3y + 9)
And 2(2y - 9) + 2(3y + 9) = 180
(2y - 9) + (3y + 9) = 90
5y = 90
y = 18
12 cm³ or 12 mL
Step-by-step explanation:
To find the volume of object A, we’ll use the formulae; L * W * H;
Where L = Length
W = Width
H = Height
Since all values are given, well just multiply them;
4 * 3 * 1 = 12 cm³
1 cubic centimeter is equivalent to 1 mL so we can also write the answer as 12 mL
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Answer:
392 minutes
Step-by-step explanation:
She reads 6/7 of a page in 12/5 mins
She will read 1 page in (12/5)* (7/6) mins
She will read 140 pages in (12/5)*(7/6)*140 mins = 392 mins
Answer:
d = 81
Step-by-step explanation:
Solve for d:
36 = (4 d)/9
Hint: | Reverse the equality in 36 = (4 d)/9 in order to isolate d to the left hand side.
36 = (4 d)/9 is equivalent to (4 d)/9 = 36:
(4 d)/9 = 36
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (4 d)/9 = 36 by 9/4:
(9×4 d)/(4×9) = 9/4×36
Hint: | Express 9/4×4/9 as a single fraction.
9/4×4/9 = (9×4)/(4×9):
(9×4)/(4×9) d = 9/4×36
Hint: | Express 9/4×36 as a single fraction.
9/4×36 = (9×36)/4:
(9×4 d)/(4×9) = (9×36)/4
Hint: | Cancel common terms in the numerator and denominator of (9×4 d)/(4×9).
(9×4 d)/(4×9) = (4×9)/(4×9)×d = d:
d = (9×36)/4
Hint: | In (9×36)/4, divide 36 in the numerator by 4 in the denominator.
36/4 = (4×9)/4 = 9:
d = 9×9
Hint: | Multiply 9 and 9 together.
9×9 = 81:
Answer: d = 81
