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3 years ago

13

If angle X has a measure of 40 degrees and angle Y is vertical to angle X, what is the measure of angle Y? Show your work and ex

plain how to solve.

2 answers:

elena-14-01-66 [18.8K]3 years ago

8 0

Answer:

Angle y is also 40 degrees. Angle x and y are vertical angles, thus they have the same angle measure.

Leokris [45]3 years ago

5 0

Answer:

50

Step-by-step explanation:

its simple just the degrees is equal orr close to that

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2 points) Sometimes a change of variable can be used to convert a differential equation y′=f(t,y) into a separable equation. One

Stells [14]

$y'=(t+y)^2-1$

Substitute $u=t+y$ , so that $u'=y'$ , and

$u'=u^2-1$

which is separable as

$\dfrac{u'}{u^2-1}=1$

Integrate both sides with respect to $t$ . For the integral on the left, first split into partial fractions:

$\dfrac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)=1$

$\displaystyle\int\frac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)\,\mathrm dt=\int\mathrm dt$

$\dfrac12(\ln|u-1|-\ln|u+1|)=t+C$

Solve for $u$ :

$\dfrac12\ln\left|\dfrac{u-1}{u+1}\right|=t+C$

$\ln\left|1-\dfrac2{u+1}\right|=2t+C$

$1-\dfrac2{u+1}=e^{2t+C}=Ce^{2t}$

$\dfrac2{u+1}=1-Ce^{2t}$

$\dfrac{u+1}2=\dfrac1{1-Ce^{2t}}$

$u=\dfrac2{1-Ce^{2t}}-1$

Replace $u$ and solve for $y$ :

$t+y=\dfrac2{1-Ce^{2t}}-1$

$y=\dfrac2{1-Ce^{2t}}-1-t$

Now use the given initial condition to solve for $C$ :

$y(3)=4\implies4=\dfrac2{1-Ce^6}-1-3\implies C=\dfrac3{4e^6}$

so that the particular solution is

$y=\dfrac2{1-\frac34e^{2t-6}}-1-t=\boxed{\dfrac8{4-3e^{2t-6}}-1-t}$

3 0

3 years ago

At the fair 4 employees were paid $8.75 an hour to work at a funnel cake stand. They worked 8 hours at regular pay then for 5 ho

nordsb [41]

Answer:

$125.25

Step-by-step explanation:

8.75*h+11.25*e

h is hours regular pay and e is extra pay for overtime. Since its an extra $2.50 for overtime, add that to the regular pay. Put in the hours:

$8.75*8+11.25*5$

Simplify by multiplying 8.75 by 8

$70+11.25*5$

Simplify by multiplying 11.25 by 5

$70+56.25$

Add

$70+56.25=126.25$

Since it says how much did each earn, as in individually, leave it as it is (unless regular pay was $2.18 an hour, which would be a rip-off). I'm pretty sure including the number of employees was meant to throw you off.

7 0

3 years ago

Answer please show steps please

erik [133]

Answer:

25 girls

Step-by-step explanation:

Let

x denote number of boys

and

y denote number of girls

According to the statement that total 45 people came,

x+y = 45 => Eqn 1

And total paid amount was 175

So,

5x + 3y = 175 => Eqn 2

For solving, We will use the substitution method

So, from eqn 1

x = 45-y

Putting value of x in eqn 2

5(45-y) +3y = 175

225 - 5y + 3y = 175

-2y+225 = 175

-2y = 175-225

-2y = -50

2y = 50

y = 25

Putting y =25 in eqn 1

x+25 = 45

x = 45 - 25

x = 20

As y= 25

So, 25 girls came to the dance ..

6 0

3 years ago

What do you call an event where it doesn’t effect the other?<br> A. Dependent<br> B. Independent

devlian [24]

Independent. No need to thank me.

6 0

3 years ago

Read 2 more answers

Yuuma applied the steps below to find the product of (–10.2)(–16.4).

goblinko [34]

Answer:

164+3.28

Step-by-step explanation:

(16.4)(10)+(16.4)(0.2)

164+3.28

167.28

4 0

2 years ago