In the diagram below of parallelogram ROCK, m angle is 70 degrees and m angle ROS is 65 what is the value of x

In The Diagram Below Of Parallelogram ROCK, M Angle Is 70 Degrees And M Angle ROS Is 65 What Is The Value

Answers

Answer 1

Answer:

135

Step-by-step explanation:

Answer 2

The measure of the angle KSO is 135°

What is a parallelogram?

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

Given that, In the diagram below of parallelogram ROCK, m angle is 70 degrees and m angle ROS is 65

We know that, opposite angles of a parallelogram are equal,

Therefore, ∠ ORK = 70°

In triangle, SRO, ∠ ORK and ∠ ROS are interior angles, and ∠ KSO is an exterior angle,

We know, The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Therefore, ∠ KSO = ∠ ORK + ∠ ROS

∠ KSO = 135°

Hence, The measure of the angle KSO is 135°

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Related Questions

2) The bicycle shop charges $15 plus $6.50
per hour to rent a bike. How many hours
did Henry pay to rent the bike if he paid
the shop $327?

Answers

327 - 15 = 312
312 / 6.5 = 48 hours

Answer:

48 hours

Step-by-step explanation:

Subtract 15 from 327

Divide result by 6.5

can anyone help me get the surface area of
2cm
5cm
8cm

Answers

Answer:

according to your question 2cm is length of the rectangle and 5cm width and 8cm height.

so the surface area of rectangle=2(lb+bh+hl)

surface area=2(2×5+5×8+8×2)

SA=2(66)

SA=132cm²

if your figure is cuboid than the answer is this if thi is not cuboid than comment me on comment section.

What value of m gives the system infinitely many solutions?
-X + 4y = 32
y = mx + 8

Answers

4y=32+x

y=32+x/4

32+x/4=mx+8

32+x=4mx+32

32-32+x=4mx

x=4mx

x/:=4m

1=4m

m=1/4

please help !!!! The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units, of the other leg of the triangle?
3

Square root of 29

Square root of 21

7

Answers

Answer:

[tex]\sqrt{21}[/tex]

Step-by-step explanation:

Use the pythagorean theoreom, a^2+b^2=c^2.

We know the hypontenuse and one of the sdes

a^2+2^2=5^2

a^2+4=25

subract four from both sides to isolate variable

a^2=21

square root both sides and you have the answer of sq root 21!

Edit: the answer for your next question is the last one b/c it satisfies the Pythagorean Theorem

Please help!!!!! 20pts

Answers

Answer:

vertically Angle is correct answer

The first one is none of these.

The second is Vertical, like the person above said.

I think that’s it. Sorry if i’m wrong.

Four friends go to dinner. Each chooses a different meal. When the check comes, they decide they will each pay the same amount. If the costs of the meals (including tax and tip) were $12.20, $11.00, $8.50, and $7.50, what should each friend pay so they cover the whole bill?​

Answers

Answer: Each friend should pay $9.80

Step-by-step explanation: First add up all their checks, then divide them by 4 (4 because there 4 friends) to get the amount each friend needs to pay.

$12.20 + $11.00 + $8.50 + $7.50= $39.20

39.30 / 4 = $9.80

Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.


Help ME and plzz show your work thank you love

Answers

Ok so you have d ducks and c cows. We know d+c=24. Also, since ducks have 2 legs and cows have 4 legs, 2d+4c=66.

We now have a systems of equations to solve for a variable using elimination

2(d+c=24)
1(2d+4c=66)

2d+2c=24
2d+4c=66

-2c=-18
c=9

Now that we have the number of cows, we can easily find the number of ducks by plugging in 9 to the equation c+d=24

9+d=24
d=15

There are 9 cows and 15 ducks.

7. Which of the following expressions contains like terms?


5xy - 13y


5x - 13xy


5xy - 13x


5xy - 13xy

Answers

Answer:

The last one

Step-by-step explanation:

Due to there being xy's in both terms

If /Il m, what is the value of x?

Answers

Answer:

x= 137 hope it helps have a nice day

Answer:

137

Step-by-step explanation:

180-43 (these two angles plug into all the angles)

An Airbus A320 jet flies 5 hours west with a 40-mph tailwind. Returning against the wind takes 7 hours. Find the speed of the jet with no wind.

Answers

Answer:

The speed of the jet with no wind is 240 miles per hour.

Step-by-step explanation:

The speed of the jet with no wind is equivalent to the speed of the jet relative to wind. Physically speaking, we have the following system of linear equations under the assumption that both speeds of wind and jet are constant:

In favor of wind

[tex]\frac{s}{t_{F}} = v_{W}+v_{J/W}[/tex] (1)

Against wind

[tex]-\frac{s}{t_{A}} = v_{W} -v_{J/W}[/tex] (2)

Where:

[tex]s[/tex] - Travelled distance, measured in miles.

[tex]t_{F}[/tex], [tex]t_{A}[/tex] - Time, measured in hours.

[tex]v_{W}[/tex] - Wind speed, measured in miles per hour.

[tex]v_{J/W}[/tex] - Jet speed relative to wind, measured in miles per hour.

If we know that [tex]t_{F} = 5\,h[/tex], [tex]t_{A} = 7\,h[/tex], [tex]v_{W} = 40\,\frac{mi}{h}[/tex], then the speed of the jet with no wind is:

[tex]\frac{s}{5} = 40 + v_{J/W}[/tex] (3)

[tex]-\frac{s}{7} = 40-v_{J/W}[/tex] (4)

[tex]\frac{s}{5}-40 = 40 +\frac{s}{7}[/tex]

[tex]\frac{s}{5}-\frac{s}{7} = 80[/tex]

[tex]\frac{7\cdot s - 5\cdot s}{35} = 80[/tex]

[tex]2\cdot s = 2800[/tex]

[tex]s = 1400\,mi[/tex]

From (3), we find that speed of the jet with no wind is:

[tex]v_{J/W} = \frac{s}{5}-40[/tex]

[tex]v_{J/W} = \frac{1400}{5}-40[/tex]

[tex]v_{J/W} = 240\,\frac{mi}{h}[/tex]

The speed of the jet with no wind is 240 miles per hour.


If y= cx" and dy/dx =
4/root x

what are the values of c and n?

Answers

Answer:

c = 8

n = 1/2

Step-by-step explanation:

Since dy/dx is the derivative form, we can integrate the answer to get the value of y.

The values of c and n are obtained by forming the equations as 1/2 and 8 respectively.

What is differentiation?

The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = (f(x + h) - f(x)) /(x + h - x).

It can be stated in terms of geometry as the slope of tangent of the function at a given point.

It is given as y = cxⁿ and dy/dx = 4/√x.

Take the derivative of y = cxⁿ with respect to x as,

dy/dx = cd(xⁿ)/dx

⇒ nc × xⁿ⁻¹

Compare the obtained derivative with 4/√x to obtain,

nc = 4   and  n - 1 = -1/2

⇒ n = 1/2 and c = 8

Hence, the values of c and n are 1/2 and 8 respectively.

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Please include the steps that took you to get your answer. I am very confused on what to do with the 1/2.

Answers

First let's review how to expand this!

(ax+b)^2=a^2*x^2+2abx+a^2

In this case

(2x^2+1/2)^2=2^2*x^2+2*1/2*2x+(1/2)^2

=4x^2+2x+1/4

Done!

CEOLATIONS AND INEQUALITIES
Finding angle measures of a triangle given angles with variables
In the triangle below, suppose that m U=(x+9)°, m = (2x+1), and mW=(7x)".
Find the degree measure of each angle in the triangle.

Answers

Answer:

∠U = 26°

∠V = 35°

∠W = 119°

Step-by-step explanation:

Given:

∠U = (x+9)°

∠V = (2x+1)°

∠W = (7x)°

Find:

Value of each angle

Computation:

Using angle sum property

∠U + ∠V + ∠W = 180°

(x+9)° + (2x+1)° + (7x)° = 180°

10x + 10 = 180

x = 17

So,

∠U = (x+9)° = 17 + 9 = 26°

∠V = (2x+1)° = 34 + 1 = 35°

∠W = (7x)° = 7 x 17 = 119°

If f(x) = x3+ x2and g(x) = x4+ x2+ x, what is the value of f(x) –g(x) when x = 1?
A) -2
B) -1
C) 1
D) 5

Answers

Answer:

B) -1

Step-by-step explanation:

[tex]f(x)=x^3+x^2\\\\g(x)=x^4+x^2+x[/tex]

METHOD 1

[tex]f(x)-g(x)=(x^3+x^2)-(x^4+x^2+x)=x^3+x^2-x^4-x^2-x\\\\=-x^4+x^3-x\\\\x=1\\\\-1^4+1^3-1=-1+1-1=-1[/tex]

METHOD 2

[tex]x=1\\\\f(1)=1^3+1^2=1+1=2\\\\g(1)=1^4+1^2+1=1+1+1=3\\\\f(1)-g(1)=2-3=-1[/tex]

The median household income in the US grew linearly from approximately $30, 000 in 1990 to $48, 000 in 2006. Let x be the number of years since 1990. Express the median income as a function of x. Use this function to approximate the median income in 2030. What is the significance of the slope of this function

Answers

Answer:

[tex]y = 1125x+30000[/tex] --- The equation

The median income in 2030 is $75000

Step-by-step explanation:

Given

Represent years since 1990 with x and the income with y.

So, we have:

[tex](x_1,y_1) = (0,30000)[/tex] --- In 1990

[tex](x_2,y_2) = (16,48000)[/tex] --- In 2006

Solving (a): Express as a function.

First, we calculate the slope

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{48000-30000}{16-0}[/tex]

[tex]m = \frac{18000}{16}[/tex]

[tex]m = 1125[/tex]

The equation is then calculated as:

[tex]y = m(x-x_1)+y_1[/tex]

This gives:

[tex]y = 1125(x-0)+30000[/tex]

Open bracket

[tex]y = 1125x-0+30000[/tex]

[tex]y = 1125x+30000[/tex]

Solving (b): Income in 2030.

In 2030, x = 40.

Substitute 40 for x in [tex]y = 1125x+30000[/tex]

[tex]y = 1125*40 +30000[/tex]

[tex]y = 45000 +30000[/tex]

[tex]y = 75000[/tex]

Solving (c): The significance of the slope.

In (a), the slope is calculated as 1125.

This implies that the yearly rate is $1125

Reflect a figure with vertices A(1,2) B (3,6), C(-1,2), and D(-2,-2)
across the x-axis. Find the coordinates of the new image.

A) C(-1,2) --> C' (-1,-2)
B) B(3,6) --> B' (3,-6)
C) A(1,2) --> A' (1,-2)
D) D(-2,-2)--> D' (-2,2)

Answers

Answer:

1,2 = 1,negative2

3,6 = 3,negative 6

-1,2 = negative 1, negative 2

-2,-2 = negative2, 2

Step-by-step explanation:

Sorry all i could do was reflect the coordinates across the x-axis.

The figure reflected along x-axis will have vertices A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).

What is reflection along the x-axis?

When we reflect a figure along the x-axis the coordinate point of y changes its sign, (x, y) becomes (x, - y).

Think of holding the x-axis with two fingers and rotating it.

Given, we reflect a figure with vertices A(1,2) B (3,6), C(-1,2), and D(-2,-2)

across the x-axis.

∴ The rotated coordinate will be A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).

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Write a plan to prove that angle 1 is congruent to angle 2

Answers

Answer:

alternate interior angles

Step-by-step explanation:

<1 is congruent to <2 by alternate interior angles

sam's mother is twice as old as sam. in 12 years sam will be as old as his mother was 12 years ago, how old is sam and his mother now PLZ HELP NOW

Answers

Answer:

Sam will be 24 and his mom U can figure that out

Step-by-step explanation:

Math

Answer:

24

Step-by-step explanation:

`12

What is 1/2 divided by 1/8?

Answers

Answer:

8/2

Step-by-step explanation:

Answer:

8/2 will be your first answer but then you simplify to get the answer of 4

Oscar wants to rent a boat. The rental company charges an initial fee of $12 plus $8 per hour to rent the boat.

a) Write a linear equation to describe the total cost of renting the boat.

b) What is the cost of renting the boat for 5 hours?

Answers

i need points pleaseeeeeeeeee

Answer:

a) y=8x+12

b) $52

Step-by-step explanation:

for a)

the linear cost of this equation is 8, since is asks this amount per hour. The constant is 12, a one time fee. to form the equation, you would use the formula y=mx+b, and substituted in with the given, you get y=8x+12.

for b)

in b, it asks for the cost of renting the boat when x=5, renting the boat for 5 hours. all you have to do is plug in 5 in place of the x in the equation:

y=8x+12

y=8(5)+12

y=40+12

y=52

Please help with this question ASAP

Answers

scan it with photo math it helps

Answer:

B.  28/15

Step-by-step explanation:

7/3 x 4/5 = 28/15

There are 10 years in 1 decade. Deron is 2 decades, 4 years, and 8 months old. His brother John is half as old. How old is John?

Answers

Answer:

John is 1 decade, 2 years, and 4 months old

Step-by-step explanation:

Since we knot that John is half as old we just have to divide Derons age by two, and we will do that by dividing the number of decades, a number of years, and a number of months by two, and so we get that John is...

(2/2) decades, (4/2) years, and (8/2) months old =

= 1 decades, 2 years, and 4 months old

John is 1 decades, 2 years, and 4 months years old.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

There are 10 years in 1 decade.

And, Deron is 2 decades, 4 years, and 8 months old.

Since, His brother John is half as old.

Hence, Age of John is,

⇒ (2 decades, 4 years, and 8 months) / 2

⇒ 1 decades, 2 years, and 4 months

Thus, John is 1 decades, 2 years, and 4 months years old.

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Divide the following. Put your answer in
scientific notation.

(77) divided by (4.9 X10^6)

Answers

Answer:

1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5

Step-by-step explanation:

Standard Notation:

122500 + 3655 = 1.26155 x 10 to the power 5

Scientific Notation:

1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5

E Notation:

1.225e5 + 3.655e3 = 1.26155e5

5 x 1 3/45 * 1 3/4
What is the answer?​

Answers

Hopes this helps:

Answer: 9 1/3

y - 4= -8 (x - 1)
linear or nonlinear?

Answers

The answer would be it ~linear~

Hope this helps

Have a great day/night!
It’s linear because it going at a constant rate

The temperature fell by 15 degrees Fahrenheit today.
Write a signed number to represent this temperature change.

Answers

Answer is   -15

We read this out as "negative 15" or you could write "negative fifteen".

The negative indicates the temperature went down. It doesn't necessarily mean that the final temperature is -15 degrees.

For example, if it starts being 50 degrees F, and drops by 15 degrees, then 50+(-15) = 50-15 = 35 degrees is the temperature after that drop. It might help to use a vertical number line.



Identify the percent of change as an increase or decrease. Then find the percent of
change. Round to the nearest tenth of a percent, if necessary.
$18.75 to $18.60
Answers:
Increase; 15%
Decrease; 0.15%
Decrease: 0.008%
Decrease; 0.8%

Answers

Answer:

Decreasing; 0.8%

Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh? whats the equation not the answer

Answers

5×3=15

17+15=32

Step-by-step explanation:

3÷17=15

15+5=20

Answer:

Step-by-step explanation:

Tina is 4 times older than Hanna. The sum of their ages is 40. How old is Hanna?

Answers

Answer:

Hanna is 8 years old.

Step-by-step explanation:

Hanna = x

Tina = 4x

Sum = 40.

Hanna =?

Hanna + Tina = 40

4x + x = 40

5x = 40

x = 40/5

x = 8.

Hanna is 8 years old.

If a triangle has sides of 8, 8, and 6, then it is classified as an _____ triangle.

Answers

Answer:

right

Step-by-step explanation:

Answer:

Isoceles

Step-by-step explanation:

An isoceles triangle has 2 congruent sides.

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