A same side interior angle of two parallel lines is 20° less than the other same side interior angle. Find the measures of these two angles.

Answers

Answer 1

Answer:

Same side interior angles are supplementary, meaning they add up to 180°. We can call the two angles x° and (x + 20)° and we can write the equation:

x + x + 20 = 180

2x + 20 = 180

2x = 160

x = 80 which means the angles are 80° and 80 + 20 = 100°.


Related Questions

It takes 1 hour (t) to fill the water tank of volume (V) 750 m3. Identify the dependent and the independent variables.

Answers

Answer:

The time t is the independent variable while the volume V is the dependent variable

Step-by-step explanation:

A variable is a parameter that changes.

We have two types namely dependent and independent variables.

A dependent variable is a variable which its value needs to be determined based on the value of another variable while and independent variable is a variable which its value independent of other parameters.

In our question, It takes 1 hour (t) to fill the water tank of volume (V) 750 m3.

The volume of the tank V changes as time changes. So the volume of the tank V is dependent on time, t.  

So V is proportional to t

Since the volume of the tank is the variable that needs to be determined based on another variable-which is time,t- it is the dependent variable, while the time,t is the independent variable since its value is not determined based on other parameters.

I thought of a number. I added one, divided by 3 and got 6. What was my number?

Answers

Answer:

17

Step-by-step explanation:

6 x 3 = 18

18 - 1 = 17

Hope this helps.

Working backwards always works.

explain how to solve 2x+9=15

Answers

Answer:

I hope it will help you :)

Manuel ordered pizza for a party. A vegetable pizza has 6 slices per pie. A cheese pizza has 8 slices per pie. Manuel ordered four times as many cheese pizzas as vegetable pizzas for a total of 152 slices. Let c represent the number of cheese pizzas and let v represent the number of vegetable pizzas. Which equation represents the relationship between the number of cheese pizzas and the number of vegetable pizzas? Which equation represents the total number of pizza slices?

Answers

Answer:

Manuel ordered pizza for a party. A vegetable pizza has 6 slices per pie. A cheese pizza has 8 slices per pie. Manuel ordered four times as many cheese pizzas as vegetable pizzas for a total of 152 slices. Let c represent the number of cheese pizzas and let v represent the number of vegetable pizzas.

Which equation represents the relationship between the number of cheese pizzas and the number of vegetable pizzas?

✔ c = 4v

Which equation represents the total number of pizza slices?

✔ 8c + 6v = 152

The equation that the number of cheese pizzas and the number of vegetable pizzas is c = 4v

And, the  equation represents the total number of pizza slices is 8c + 6v = 152

Given that,

Manuel ordered pizza for a party. A vegetable pizza has 6 slices per pie. A cheese pizza has 8 slices per pie. Manuel ordered four times as many cheese pizzas as vegetable pizzas for a total of 152 slices. Let c represent the number of cheese pizzas and let v represent the number of vegetable pizzas.

Based on the above information, the equation is as follows:

c = 4v

8c + 6v = 152

Learn more: https://brainly.com/question/1301963?referrer=searchResults

An open cone has a slant height of 5m and a curved surface area of 251, Find the radius of the circular base.What is the answer:18 16

Answers

Answer:

Radius of the cone = 16 m

Step-by-step explanation:

Slant height of the cone 'l' = 5 m

Curved surface area of the cone is represented by the formula,

Curved surface area = πrl

Here r = radius of the circular base of the cone

l = slant height of the cone

By putting the values in the formula,

251 = πrl

251 = πr(5)

r = [tex]\frac{251}{5\pi}[/tex]

r = 15.979

r ≈ 16 m

Therefore, radius of the given cone will be 16 m.

WILL GIVE BRAINLIEST AND 21 POINTS! Calculate the area of the triangle: A =

Answers

Answer:

area: 27

Step-by-step explanation:

Sides: a = 10.296   b = 14.213   c = 6

The calculation of the triangle progress in two phases. The first phase is such that we try to calculate all three sides of the triangle from the input parameters. The first phase is different for the different triangles query entered. The second phase is the calculation of other characteristics of the triangle, such as angles, area, perimeter, heights, the center of gravity, circle radii, etc. Some input data also results in two to three correct triangle solutions (e.g., if the specified triangle area and two sides - typically resulting in both acute and obtuse) triangle).

Only answer if you are sure thanks!

Answers

Answer:

B. (0,0)

Step-by-step explanation:

Answer:

B. (0, 0).

Step-by-step explanation:

The parent function is y = x^2.

The vertex is at the minimum value of this, that is when x = 0 and y = 0.

translate 22% of b into an expression

Answers

Answer:

11/50b

Step-by-step explanation:

22% of b = 22/100×b

= 11/50b

Determine if the coordinate (6, 8) lies on the circle x+y=100.

please write all the steps it's for my summer school, thank you.​

Answers

Answer:

x + y = 100

6 + 8 = 100

14 = 100

Since this is a false statement the answer is no, it does not belong on the circle.

Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle?

Answers

Answer:

5-12-13 is a Pythagorean Triple.

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

We can use the Pythagorean Theorem to prove that 5-12-13 is a right triangle:

5² + 12² = 13²

25 + 144 = 169

169 does equal 169.

6th grade math heeelppppppppp :D

Answers

Answer:

5(6x+3y) is equalivent to 30x+15y

Answer:

30x+15y

Step-by-step explanation:

distributive property

is my writing legible enough for a teacher to read?? or should I use white out??

Answers

Answer:

i can read it

Step-by-step explanation:

x = 2y - 3 & 3x - 7y = -14

Answers

Answer:

(7, 5)

Step-by-step explanation:

You can solve by substitution

3(2y - 3) - 7y = -14

6y - 9 - 7y = -14

-y - 9 = -14

-y = -5

y = 5

x = 2(5) - 3

x = 7

Answer:

(7, 5).

Step-by-step explanation:

x = 2y - 3

2y = x + 3

y = x/2 + 3/2

3x - 7y = -14

-7y = -3x - 14

y = 3/7x + 2

3/7x + 2 = 1/2x + 3/2

6/14x - 7/14x = 1.5 - 2

-1/14x = -1/2

1/14x = 1/2

x = 7

7 = 2y - 3

2y = 10

y = 5

3 * 7 - 7 * 5 = 21 - 35 = -14

Since this works, your answer will be (7, 5).

Hope this helps!

A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the arc is °.Which angle measure less than or equal to 360° is equivalent to an angle of ?

Answers

Answer:

  320°

Step-by-step explanation:

Part 1

The arc length is given by ...

  s = rθ . . . . . r is the radius, θ is the central angle in radians

We want to find θ, so we can fill in the given values and divide by the coefficient of θ.

  8π = 4.5θ

  θ = 8π/4.5 = 16π/9 . . . radians

Since π radians = 180°, the degree measure of the angle is ...

  θ = (16/9)180° = 320°

The measure of the angle subtended by the arc is 320°.

_____

Part 2

We might be able to help with the second part of the question, but you need to edit to put in the numbers and answer choices.

What is the value of n?

Answers

The answer is 95. The angles should equal 360. Add the given two angles and subtract from 360. 360-265=95. So the third angle is 95. Hope I was able to help.

Help please !!!!!!!!!!!!!!

Answers

B

coordinate of p is (3,2)

parallel of line m should be negative

Complete the solution of the equation. Find the
value of y when x equals 5.
-6x – 3y = -57
Enter the correct answer.​

Answers

Answer:

y = 9

Step-by-step explanation: this is because when x is 5 and is multiplied by -6 u get -30. from there u substratc -30 from -57 and get -27. so y is 9

9 (1/3)^n-1 what is the tenth term

Answers

Answer:

[tex]a_{10}=\frac{1}{2187}[/tex]

Step-by-step explanation:

Simply plug in 10 for n

9(1/3)¹⁰⁻¹

9(1/3)⁹

9(1/19683)

9/19683

[tex]a_{10}=\frac{1}{2187}[/tex]

if the redius of a circle is 5cm what is the circumference​

Answers

Answer:

10π

Step-by-step explanation:

Circumference formula is : 2πr

So if you put r into this formula, it will be: 2π5

Now, you can multiply 2 by 5 to get 10, leaving you with 10π

Answer:

10 π

Step-by-step explanation:

The formula for circumference is C=2 πr, where r is radius, so if we do C=2 π(5), we get C=10 π

Mary went up the Old Tower taking 3 steps per second. Then she carefully came down from the tower taking 2 steps per second. It took Mary 25 seconds longer to come down than to go up. How many steps does the Old Tower have?

Answers

Answer:

old town has 150 steps

Step-by-step explanation:

Let the number of steps in the old tower be m

Mathematically, time = distance/speed

In this case, the distance is the number of steps while the speed is the rate of climbing or descending

For climbing, time spent = m/3

For descending time spent = m/2

Since it took her 25 longer when descending;

This means that;

m/2 - m/3 = 25

(3m-2m)/6 = 25

m/6 = 25

m = 6 * 25

m = 150 steps

Gwen is travelling to another country. She flies for 3 hours at an average speed of 625 km/h on one plane. She then flies for 4 hours 15 minutes at an average speed of 880 km/h on a second plane. What is the total distance, in km, she travelled by plane?

Answers

Answer:

5,615 km.

Step-by-step explanation:

The first flight, she traveled for 3 hours at a speed of 625 km/h.

[tex]\frac{625}{1} =\frac{x}{3}[/tex]

x = 625 * 3

x = 1,875.

The first flight, she traveled 1,875 km.

The second flight, she traveled for 4.25 hours at a speed of 880 km/h.

[tex]\frac{880}{1} =\frac{x}{4.25}[/tex]

x = 880 * 4.25

x = 3,740.

The second flight, she traveled 3,740 km.

So, in total, she traveled 1875 + 3740 = 5,615 kilometres.

Hope this helps!

Jjdudhdhdyee ehe e eve ee eve e she s he’s. We’ve s she w sus. Whew whew new. Whbwvveshshs

X= 3y-5
2x + 12y = -4
This is a system of equations can somebody solve it you can use any method ​

Answers

Answer:

x = -4, y = 1/3

Step-by-step explanation:

=> x = 3y-5        (Equation 1)

=> 2x+12y = -4  (Equation 2)

Putting (1) in (2)

=> 2(3y-5)+12y = -4

=> 6y-10+12y = -4

=> 18y = -4+10

=> 18y = 6

Dividing both sides by 18

=> y = 6/18

=> y = 1/3

Putting y = 1/3 in Equation 1

=> x = 3(1/3)-5

=> x = 1-5

=> x = -4

x=3y-5
2x+12y=-4

(-2)x=-6y+10
2x+12y=-4
12y=6
y=1/2

x=3y-5
2x+12y=-4

(-4)x=-12y+20
2x+12y=-4
-2x=16
x=-8

The volume of a rectangular prism is 240 cubic centimeters. A rectangular pyramid has the same length, width, and height as the prism. What is the volume of the pyramid?

Answers

Answer:

The volume of the pyramid is 80 cubic centimeters.

Step-by-step explanation:

As the formula for the volume of a pyramid is 1/3bh, so if all the dimensions are the same for both figures, just divide the volume of the prism by three to find the volume of the pyramid. If you do this 240÷3=80 or the volume of the pyramid.

Answer:

80 cubic centimetres

Step-by-step explanation:

The volume of a rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height.

Here, we know that the prism's volume is 240, so lwh = 240.

The volume of a rectangular pyramid is denoted by V = (1/3) * lwh, where l is the length of the rectangular base, w is the width of the rectangular base, and h is the height.

We know that the length, width, and height of the pyramid are the same as those of the prism, so we want to simply find V = (1/3) * lwh. From the prism, we see that lwh = 240, so plug that in:

V = (1/3) * lwh

V = (1/3) * 240 = 80

The answer is thus 80 cubic centimetres.

~ an aesthetics lover

In the diagram below, AB is parallel to CD. What is the value of x?

Answers

Answer:

150 degrees

Step-by-step explanation:

You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.

5 The absolute value of 9 is 9.
O True
O False​

Answers

Answer: True

Explanation:

absolute value is always positive and represents the values distance from zero. The absolute of 9 and -9 are both 9.

Answer:

True

Step-by-step explanation:

The absolute value of a number is its distance from zero on the number line. The distance of 9 from 0 is 9.

Is the following relation a function?

Answers

Answer:

No because y repeats with a diffirent x i think

Step-by-step explanation:

If it doesn't bother you would you let me know if i was right?

Use each of the digits 2,4,6 and 7 to make this calculation correct ?.?+?.?=10​

Answers

Answer:

2.6+7.4 or 2.4+7.6

Step-by-step explanation:

Both of the above equals to 10!

To speed the process of surveying, surveyors use brass metal plates to record important information. The benchmarks, as they are called, are used to save time so surveyors do not have measure the datum plane each time. Benchmarks refer to what standard of measurement? Feet above sea level

Answers

Answer:

Feet Above Sea Level

Step-by-step explanation:

A benchmark is a term in Surveying and Geo informatics, that describes a point of reference established at a known elevation which serves as basis in which other elevation or topographical point can be measured.

Therefore, when determining the benchmark, it's height is calculated relative to the vertical datum of the area, typically mean sea level, which is then recorded in FEET ABOVE SEA LEVEL.

Hence, Benchmarks measurements refer to FEET ABOVE SEA LEVEL.

The table below shows some inputs and outputs of the invertible function f with domain all real numbers. NEED HELP NOW!!!!!

Answers

Answer:

( 1 ) [tex]f^{-1}(f(576)) = 576[/tex],

( 2 ) [tex]f^{-1}(-7)+f(-7) = 13[/tex]

Step-by-step explanation:

Taking the function and it's inverse, it should be the following property -

[tex]f^{-1}(f(x))= x[/tex] - this therefore makes the functionality " [tex]f^{-1}(f(576))= x[/tex] " equivalent to 576 itself.

For this second part here let's consider the portion " [tex]f(-7)[/tex] " firstly. As you can see from the table, - 7 should represent the x - value, hence [tex]f(-7) = 7[/tex]. Now for this second bit here, we have to take the inverse - making the what should have been the x - value, now the f( x ) value. Therefore, [tex]f^{-1}(-7) = 6[/tex].

This would make [tex]f^{-1}(-7)+f(-7)[/tex] = [tex]7+6[/tex] = 13.

using Pythagoras theorem, caclutale AC AB=11cm BC=4CM AC=unknown using Pythagoras theorem, caclutale the length of AC

Answers

Answer:

11.70 cm

Solution,

AB (p) = 11 cm

BC (b) = 4 cm

AC (h) = ?

now,

Using the Pythagoras theorem:

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex] {h}^{2} = {(11)}^{2} + {(4)}^{2} [/tex]

[tex] {h }^{2} = 121 + 16[/tex]

[tex] {h }^{2} = 137[/tex]

[tex]h = \sqrt{137} [/tex]

[tex]h = 11.70 \: cm[/tex]

Hope this helps...

Good luck on your assignment..

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