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3 years ago

8

Parallel lines m and n are cut by a transversal t. Which two angles are corresponding angles? A. 1 and 5 B. 1 and 6 C. 1 and 2 D

. 1 and 7

1 answer:

jeka943 years ago

6 0

Answer:

1 and 5

Step-by-step explanation:

So basically corresponding angles are the angles which lie on the same line of the transversal

And also one of them will be an interior angle and the other a exterior angle

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How many sides does this regular polygon have? <br>Pls help

galina1969 [7]

Answer:

9 sides

Step-by-step explanation:

7y + 2y = 180

9y = 180

y =20

so, 2y, the exterior angle is 2 x 20 = 40

Divide 360 by 40 = 9

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3 years ago

Please help! i'm confused!<br> Find the area of a kites with diagonals 9in and 12in.

kolbaska11 [484]

Notice the picture
the rhombus, or kite, is really just 4 triangles
all sides are the same lenght in a rhombus,

thus, find the area of all of the triangles,
and you already have two sides given,
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8 0

3 years ago

Verify that P = Ce^t /1 + Ce^t is a one-parameter family of solutions to the differential equation dP dt = P(1 − P).

NemiM [27]

Answer:

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

$1-P=1-\frac{ce^t}{1+ce^t}=\frac{1+ce^t-ce^t}{1+ce^t}=\frac{1}{1+ce^t}$

Now, differentiate to obtain

$\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}$

$=\frac{(ce^t)(1+ce^t)-(ce^t)(ce^t)}{(1+ce^t)^2}=\frac{ce^t+ce^{2t}-ce^{2t}}{(1+ce^t)^2}=\frac{ce^t}{(1+ce^t)^2}$

To obtain the required form, extract a factor in both the numerator and denominator:

$\frac{dP}{dt}=\frac{ce^t}{1+ce^t}\frac{1}{1+ce^t}=P(1-P)$

3 0

3 years ago

If Jill is selling lemonade for $1.50 per cup on Tuesday. On Wednesday she is selling the lemonade for the same price and sells

Molodets [167]

Answer:

Jill make $18 on Wednesday

Step-by-step explanation:

Given :Jill is selling lemonade for $1.50 per cup on Tuesday.

To Find :On Wednesday she is selling the lemonade for the same price and sells 12 cups. How much money did she make on Wednesday?

Solution:

Jill is selling lemonade for $1.50 per cup on Tuesday.

Cost of 1 cup of lemonade = $1.5

Cost of 12 cups of lemonade = $1.5 \times 12 =$18$

Hence She make $18 on Wednesday

4 0

3 years ago

Segment VY is a midsegment of trapezoid FEDC. Find x.

Morgarella [4.7K]

Answer:

x = 12

Step-by-step explanation:

The midsegment VY is half the sum of the parallel bases , that is

VY = $\frac{EF+CD}{2}$ , then

3x + 18 = $\frac{1}{2}$ (x + 96) ← multiply both sides by 2 to clear the fraction

6x + 36 = x + 96 ( subtract x from both sides )

5x + 36 = 96 ( subtract 36 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12

8 0

3 years ago