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3 years ago

Please help as soon as possible!!!!!!

Mathematics

2 answers:

shusha [124]3 years ago

6 0

Answer:

5. Congruent triangles

Step-by-step explanation:

Congruent Triangles : When two triangles are congruent, all its three sides are equal and have the same angles.

So in conguent traingles,

ΔADB ≅ BDC

Therefore, AB = DC and AD = BC

Thus this completes the missing information that proves that the quadrilateral ABCD ia a parallelogram, then its opposite sides are congruent.

mina [271]3 years ago

3 0

Answer:

congruent triangles

Step-by-step explanation:

The complete reason is, "corresponding parts of congruent triangles are congruent." This reason is sometimes abbreviated CPCTC.

It can be helpful to note that the previous step concluded that the relevant triangles are congruent.

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Solve the following differential equations or initial value problems. In part (a), leave your answer in implicit form. For parts

shepuryov [24]

Answer:

(a) (y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) y = arctan(t(lnt - 1) + C)

Step-by-step explanation:

(a) dy/dt = (t^2 + 7)/(y^4 - 4y^3)

Separate the variables

(y^4 - 4y^3)dy = (t^2 + 7)dt

Integrate both sides

(y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) dy/dt = (cos²y)lnt

Separate the variables

dy/cos²y = lnt dt

Integrate both sides

tany = t(lnt - 1) + C

y = arctan(t(lnt - 1) + C)

(t² + t) dy/dt = ty² - y²

(t² + t) dy/dt = y²(t - 1)

(t² + t)/(t - 1)dy/dt = y²

Separating the variables

(t - 1)dt/(t² + t) = dy/y²

tdt/(t² + t) - dt/(t² + t) = dy/y²

dt/(t + 1) - dt/(t(t + 1)) = dy/y²

dt/(t + 1) - dt/t + dt/(t + 1) = dy/y²

Integrate both sides

ln(t + 1) - lnt + ln(t + 1) + lnC = -1/y

2ln(t + 1) - lnt + lnC = -1/y

ln|C(t + 1)²/t| = -1/y

y = -1/ln|C(t + 1)²/t|

Apply y(1) = -1

-1 = ln|C(1 + 1)²/1|

-1 = ln(4C)

4C = e^(-1)

C = (1/4)e^(-1) ≈ 0.09

y = -1/ln|0.09(t + 1)²/t|

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3 years ago

in one study of smokers who tried to quit smoking with nicotine patch therapy 39 were smoking one year

andrey2020 [161]

Answer:

Step-by-step explanation:

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3 years ago

A rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven. The function rule C = 0.2

son4ous [18]

Answer:

A rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven.

The function $C = 0.20m+ 150.00$ ,

where m is the number of miles and C is the total cost.

Since it is given that : If the rental car can only be driven a maximum of 200 miles.

Then the total cost for this is,

$C = 0.20 (200)+150$ or

$C= 40+150$

On simplify we get,

$C = \$ 190$

A rental Car can only be driven a maximum of 200 miles for a cost of $ 190.

Graph the function : $C = 0.20m+ 150.00$ as shown in the attachment.

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3 years ago

Shawn's Rentals charges $27.50 per our to rent a surf board and a wet suit. Darla's Surf Shop charges $23.25 per hour to rent a

Alex787 [66]

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2 years ago

Factor, show all steps. x2 – 16x + 64 = 0

lora16 [44]

$x^2-16x+64=0$

Method 1.

Use $(a-b)^2=a^2-2ab+b^2$

$x^2-2\cdot x\cdot8+8^2=0\\\\(x-8)^2=0\\\\(x-8)(x-8)=0$

Method 2.

$x^2-8x-8x+64=0\\\\x(x-8)-8(x-8)=0\\\\(x-8)(x-8)=0$

The solution to this equation is the number 8

8 0

3 years ago

Read 2 more answers