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JulijaS [17]
2 years ago
6

Use the relationship between the angles in the figure to answer the question.

Mathematics
2 answers:
Serggg [28]2 years ago
8 0

Answer:

x=52°

Step-by-step explanation:

because of the vertical angles theorem

Nookie1986 [14]2 years ago
3 0

Answer:

x=52°

Step-by-step explanation:

   the vertical angles theorem

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What is 6.39 rounded to the nearest tenths?
posledela
6.4 is the answer to your question 


4 0
3 years ago
Read 2 more answers
Xy′ = √(1 − y2 ), y(1) = 0
Ulleksa [173]

Answer:

The particular solution is y=\sin (\ln|x|) .

Step-by-step explanation:

The given differential equation is

xy'=\sqrt {1-y^2}

It can be written as

x\frac{dy}{dx}=\sqrt {1-y^2}

Use variable separable method to solve the above equation.

\frac{dy}{\sqrt {1-y^2}}=\frac{1}{x}dx

Integrate both sides.

\int \frac{dy}{\sqrt {1-y^2}}=\int \frac{1}{x}dx

\sin^{-1} y=\ln|x|+C            .... (1)

It is given that y(1)=0. It means y=0 at x=1.

\sin (0)=\ln|1|+C

0=0+C

0=C

The value of constant is 0.

Substitute C=0 in equation (1) to find The required equation.

\sin^{-1} y=\ln|x|+0

Taking sin both sides.

y=\sin (\ln|x|)

Therefore the particular solution is y=\sin (\ln|x|) .

7 0
3 years ago
6. Solve using any method.<br> x+6y=7<br> 5x + 8y = 13
Norma-Jean [14]

Answer:

<h2>x = 1, y = 1 → (1, 1)</h2>

Step-by-step explanation:

\bold{ELIMINATION\ METHOD}\\\\\left\{\begin{array}{ccc}x+6y=7&\text{Multiply both sides by (-5)}\\5x+8y=13\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-5x-30y=-35\\5x+8y=13\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-22y=-22\qquad\text{divide both sides by (-22)}\\.\qquad\boxed{y=1}\\\\\text{Put it to the first equation}\\\\x+6(1)=7\\x+6=7\qquad\text{subtract 6 from both sides}\\\boxed{x=1}

\bold{SUBSTITUTION\ METHOD}\\\\\left\{\begin{array}{ccc}x+6y=7&\text{subtract}\ 6y\ \text{from both sides}\\5x+8y=13\end{array}\right\\\\\left\{\begin{array}{ccc}x=7-6y&(1)\\5x+8y=13&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\5(7-6y)+8y=13\qquad\text{use the distributive property}\\(5)(7)+(5)(-6y)+8y=13\\35-30y+8y=13\qquad\text{subtract 35 from both sides}\\-30y+8y=13-35\qquad\text{combine like terms}\\-22y=-22\qquad\text{divide both sides by (-22)}\\\boxed{y=1}

\text{Put it to (1):}\\\\x=7-6(1)\\x=7-6\\\boxed{x=1}

4 0
3 years ago
Read 2 more answers
Will the point of the arrow in Figure Bhave the same angle measure as the point of the arrow in Figure A? Explain your answer.
inn [45]

Rotation being a rigid transformation, does not alter the angle and side lengths after transformation.

The arrow in Figure B will have the same angle measure as Figure A

From the complete question (see attachment), we understand that:

Figure A is rotated 90 degrees clockwise around point (2,2)

Rotation is a rigid transformation

This means that: after the transformation

  • Figure A and figure B will have the same side lengths
  • Figure A and figure B will have the same measure of angles

The above highlights imply that, the arrow in Figure B will have the same angle measure as Figure A

Read more about rigid transformations at:

brainly.com/question/1761538

5 0
2 years ago
1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the
Mice21 [21]

Answer:

Part 1) Helen's age is 32 years old and Jane's age is 24 years old

Part 2) 13 twenty-dollar bills

Step-by-step explanation:

Part 1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?

Let

x----> Helen's age

y---> Jane's age

we know that

x=y+8 ----> equation A

(x-20)=3(y-20) -----> equation B

substitute equation A in equation B and solve for y

(y+8-20)=3(y-20)

y-12=3y-60

3y-y=60-12

2y=48

y=24 years

Find the value of x

x=y+8

x=24+8=32 years

Part 2)

Let

x-----> the number of five-dollar bills

y----> the number of twenty-dollar bills

we know that

5x+20y=305 -----> equation A

y=x+4 ------> x=y-4 ------> equation B

substitute equation B in equation A and solve for y

5(y-4)+20y=305

5y-20+20y=305

25y=325

y=13 twenty-dollar bills

Find the value of x

x=y-4

x=13-4=9  five-dollar bills

5 0
3 years ago
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