I think the answer is C, because they have the same length.
sorry if I get it wrong
<h3>
Answer: b) 18 cm </h3>
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Work Shown:
Since the parallelogram has perpendicular diagonals, this means that we're dealing with a rhombus. A rhombus has all four sides equal to one another.
One diagonal is bisected, or cut in half, to form the smaller pieces of length (150/x) + 10 and x-10. Set these two expressions equal to each other and solve for x
(150/x) + 10 = x-10
1500/x = x-10-10
1500/x = x-20
1500 = x(x-20)
1500 = x^2-20x
0 = x^2-20x-1500
x^2-20x-1500 = 0
(x-50)(x+30) = 0
x-50 = 0 or x+30 = 0
x = 50 or x = -30
We'll ignore the negative x value as it leads to a negative length which doesn't make sense.
If x = 50, then
- x-10 = 50-10 = 40
- (150/x)+10 = (150/50)+10 = 30+10 = 40
Each piece of this diagonal is 40 cm long.
The two smaller pieces combine to 40+40 = 80, which is the length of one of the diagonals. If this was the shorter diagonal, then 80 would be listed as part of the answer choices. However, 80 is not one of the answers.
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Note how the two diagonals of the rhombus cut the figure into four right triangles.
Each right triangle has one known leg to be 40 and an unknown leg of y. The hypotenuse is 164/4 = 41 since we divide the perimeter by the four equal sides of the rhombus.
We'll use the pythagorean theorem to find the value of y
a^2 + b^2 = c^2
40^2 + y^2 = 41^2
1600 + y^2 = 1681
y^2 = 1681-1600
y^2 = 81
y = sqrt(81)
y = 9
This represents half of the other diagonal, so the full length of this other diagonal is 2*9 = 18 cm.
Answer:
About 10 inches by 10 inches because your just rounding the height to the nearest tenth
Answer:
A
Step-by-step explanation:
B: Everyone uses resources which does not make it a characteristic
C: *soviet them plays*
D: Small towns can have transportation
The total monthly cost of the two companies will be the same for 30 texts.
<u>Step-by-step explanation:</u>
It is given that,
- The variables used here are x and y.
- y represent the total monthly cost.
we know that, x must represent the number of texts in a month.
The monthly texting plan of All Star Cell is $11 per month and $0.25 per text.
⇒ y = 11 + 0.25x --------(1)
The monthly texting plan of Top Line Cell is $14 per month and $0.15 per text.
⇒ y = 14 + 0.15x --------(2)
<u>To find the no.of texts for which the total monthly cost of the two companies be the same :</u>
⇒ Total cost of All Star Cell = Total cost of Top Line Cell
⇒ 11 + 0.25x = 14 + 0.15x
⇒ 0.25x - 0.15x = 14 - 11
⇒ 0.1x = 3
⇒ x = 3 / 0.1
⇒ x = 30 texts.
The total monthly cost of the two companies will be the same for 30 texts.
