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GenaCL600 [577]

3 years ago

8

Triangle XYZ slides 2 units left and 1 unit down on the coordinate plane. If the original measure of angle X was 40 degrees, wha

t is the measure of angle X'?

1 answer:

OverLord2011 [107]3 years ago

8 0

The angle of X' would still be 40 degrees because you didnt change the length of any of the sides

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Someone pls help me it would be amazing thank u a lot

Ivenika [448]

Answer:

36.87°

Step-by-step explanation:

With reference angle C

perpendicular (p) = 27

base(b) = 36

Now

Tan C = p/b

Tan C = 27/36

C = tan ^-1( 27/36)

= 36.87°

Hope it helps

:)

6 0

3 years ago

Read 2 more answers

In a bag of 18 oranges, 12 have gone bad.<br><br> What is the ratio of good oranges to bad oranges?

klemol [59]

Of 18 oranges, if 12 are bad that means 6 are good. Ratio of good to bad is 6:12 reduced to 1:2, the answer

4 0

3 years ago

A certain college graduate borrows 7864 dollars to buy a car. The lender charges interest at an annual rate of 13%. Assuming tha

White raven [17]

Answer:

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = =$1573.17

Step-by-step explanation:

Consider A represent the balance at time t.

A(0)=$ 7864.

r=13 % =0.13

Rate payment = $k

The balance rate increases by interest (product of interest rate and current balance) and payment rate.

$\frac{dB}{dt} = rB-k$

$\Rightarrow \frac{dB}{dt} - rB=-k$ .......(1)

To solve the equation ,we have to find out the integrating factor.

Here p(t)= the coefficient of B =-r

The integrating factor $=e^{\int p(t) dt$

$=e^{\int (-r)dt$

$=e^{-rt}$

Multiplying the integrating factor the both sides of equation (1)

$e^{-rt}\frac{dB}{dt} -e^{-rt}rB=-ke^{-rt}$

$\Rightarrow e^{-rt}dB - e^{-rt}rBdt=-ke^{-rt}dt$

Integrating both sides

$\Rightarrow \int e^{-rt}dB -\int e^{-rt}rBdt=\int-ke^{-rt}dt$

$\Rightarrow e^{-rt}B=\frac{-ke^{-rt}}{-r} +C$ [ where C arbitrary constant]

$\Rightarrow B(t)=\frac{k}{r} +Ce^{rt}$

Initial condition B=7864 when t =0

$\therefore 7864= \frac{k}{r} - Ce^0$

$\Rightarrow C= \frac{k}{r} -7864$

Then the general solution is

$B(t)=\frac{k}{r}-( \frac{k}{r}-7864)e^{rt}$

To determine the payment rate, we have to put the value of B(3), r and t in the general solution.

Here B(3)=0, r=0.13 and t=3

$B(3)=0=\frac{k}{0.13}-( \frac{k}{0.13}-7864)e^{0.13\times 3}$

$\Rightarrow- 0.48\frac{k}{0.13} +11614.98=0$

⇒k≈3145.72

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = ${(3145.72×3)-7864}

=$1573.17

4 0

4 years ago

Please help explanation if possible

Novay_Z [31]

Answer:

Equation pf parallel line y = 4x + C

now this line pass through (-2,4) so it satisfies the eqn

Then, 4 = -8+C

C = 12

<h2>Hence required equation:- </h2>

<h2>y = 4x+12.....</h2>

hope it helps

4 0

3 years ago

Read 2 more answers

Choose the correct description of the graph of the compound inequality x − 1 less than or equal to 9 or 2x greater than or equal

DerKrebs [107]

X - 1 < = 9 or 2x > = 24
x < = 9 + 1 x > = 24/2
x < = 10 x > = 12

closed circle on 10, shaded to the left
closed circle on 12, shaded to the right

________10_______12__________
<====X X======>
the X represents closed circles

8 0

3 years ago