<1 and <2 form a linear pair. The measure of <1 = (2x+8) and the measure of <2 = (8x + 22). What is the measure of <1?

Answers

Answer 1

Answer:

Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:

measure angle 1 + measure angle 2 = 180°

Since measure of angle 2 is six more than twice the measure of angle 1, therefore:

measure angle 2 = 2 (measure angle 1) + 6

hence, substituting this into the first equation:

measure angle 1 + 2 (measure angle 1) + 6 = 180

3 (measure angle 1) = 174

measure angle 1 = 58°

Therefore,

measure angle 2 = 2 (measure angle 1) + 6

measure angle 2 = 2 (58°) + 6

measure angle 2 = 122*


Related Questions

A cylinder made of lead has a height of 4 inches and a diameter of 2 inches. How heavy is the cylinder if lead weighs 0.4 pound per cubic inch? Round to the nearest tenth.

Answers

Answer:5.0

Step-by-step explanation:

The volume of a cylinder is [tex]\pi r^2h[/tex], since the radius is 1/2D, 2/2=1. Now, if [tex]\pi[/tex] is rounded to 3.14, the volume of the cylinder would be 1 x 1 x 3.14 x 4 = 12.56. Now, since there are 0.4 pound per cubic inch, 12.56 x 0.4 = 5.024. Rounded to tenth, the answer is 5.0 or 5.

Hope this helps!


A shirt costs $25. A sweater costs
3
as much as the shirt.
What is the cost, in dollars, of the sweater?

Answers

Answer:

28 dollars

Step-by-step explanation:

A shirt cost 25

a sweater Is 3 ”more”

so shirt= 25+ x        Sweater: 28

If the sweater costs 3 "times" as much as the shirt, it would cost $75. 3 x 25 = 75

The table shows the population of three Texas counties. The population of Gray County is missing. The population of Gray County is 35,553 less than the population of Anderson County. What is the combined population of these four counties?
A. 2,694,709
B. 2,707,507
C. 2,695,209
D. 2,765,815

Answers

Answer:me dont know

Step-by-step explanation:

idek

Answer:

A. 2694709

Step-by-step explanation:

58308-35553=22755

22755 is the population of Gray County.

Add this number to the other numbers:

22755 + 58308 + 2416014 + 197632 = 2694709

how to find the circumference using 3.14

Answers

Answer:

c = 2 * 3.14 * r    and     c = 3.14 * d

Step-by-step explanation:

The formulas for the circumference of a circle are

c = 2πr   and   c = πd

where r is the radius and d is the diameter

using π = 3.14

the formulas become

c = 2 * 3.14 * r    and     c = 3.14 * d

I’m having trouble on this problem, anyone know the answer?

Answers

Answer:

the answer is 35 cm

Step-by-step explanation:

to make sure that you dont have a problem next time here is a formula

area of any polygon is the sum of all sides so 9 + 9 + 12 + 5 = 35

Answer: 66cm^2

To find the area of ABCDE, the two equations you will need are:
Rectangle = l • w
Triangle = (b • h)/2

Since rectangles are symmetrical, we can ignore the triangle for now.

Observe that the left side of the rectangle states 5 cm, and the bottom side states 12 cm. With this information we can infer that:

Area of rectangle is 12cm(5cm) = 60cm^2

Alright, now we can look at the triangle. What we’ll do is subtract 5cm from 9cm to get the height 4 cm; and we’ll subtract 9 cm from 12 cm to get the base 3 cm.

With this information, we can conclude that the area of the triangle (3cm(4cm)/2 = 6cm^2

Adding both the triangle and rectangle area together, we get 66cm^2

Which two shapes have perimeters of 18 feet but have different areas?(1 point)
A rectangle with a length of 9 ft. and a width of 2 ft. and a rectangle with a length of 6 ft. and a width of 3 ft.
A rectangle with a length of 5 ft. and a width of 3 ft. and a square with a side length of 4 ft.
A rectangle with a length of 7 ft. and a width of 2 ft. and a rectangle with a length of 6 ft. and a width of 3 ft.
A rectangle with a length of 8 ft. and a width of 2 ft. and a square with a side length of 4 ft.

Answers

Answer:

they have different areas and different perimeters

Step-by-step explanation:

HELPPPP PLSSSSSS AHHHH

Answers

Answer:

the Anwers D

Step-by-step explanation:

Answer:

I would say D

Step-by-step explanation:

If it isn't D try A

HELP PLEASE!!!!!!!!!!!!!

Answers

Answer:

2

Step-by-step explanation:

a person's heart beats approximately 10^5 times each day. a person lives approximately 81 years. Work out an estimate for the number of times a person's heart beats in their lifetime

Answers

Answer:

29565x(10^5)

Step-by-step explanation:

heartbeat in 1 day=10^5.

we have 365 days in a year. it means that;

365x(10^5)=365x(10^5). this is heartbeat for 1 year.

then for 81 years,we multiply the value of 1 year heartbeat by 81.

=29565x(10^5).

In the proof below, what is the missing reason?

Answers

Answer:

AAS

Step-by-step explanation:

what's the surface area of this figure? (figure shown on picture)

Answers

Answer:

800 in²

Step-by-step explanation:

Let’s find the area of all the shapes in the net.

10 · 10 = 100

100 · 2 = 200

15 · 10 = 150

150 · 4 = 600

200 + 600 = 800

Simplifique:
a) 0,027^1/3
b)16^1/25
c)4^0,5
d)27^0,333...

Answers

Answer:

a) 0.3.

b) 1.117287138  to  9 dec. places.

d)3.

Step-by-step explanation:

a and d: the powers 1/3 and 0.333... is  the cube root.

c: 0.5 = the square root.

b is found using a calculator

Jon started playing a computer game at 5:35 P.M. He finished the game at 5:52 P.M. How long did Jon play the game?

Answers

Answer: 17 minutes

Step-by-step explanation:

Answer:

17 minutes

Step-by-step explanation:

Just do 52-35, simple math

Help will give Brainlyest if right

Answers

Answer:

-4 , 0 would be the answer your looking for I believe

WILL GIVE BRAINLIEST! (Geometry)

The circle below has a radius of 10 inches. Find the area of Sector A and Sector C

Answers

Answer:

area of sector A =  47.97 in²

area of sector C = 109.03 in²

Step-by-step explanation:

area of full circle = πr² = (3.14)(10²) = 314 in²

area of sector A = (55/360)(314) = 47.97 in²

area of sector C = (314/2) - 47.97 = 109.03 in²

The owners of a smoothie shop want the price of each size smoothie to be proportional to the amount of liquid it contains. A small smoothie will be 16 fluid ounces and sell for $3.52

Answers

Answer:

?

Step-by-step explanation:

Whats the question?

The proportionality constant if, A small smoothie will be 16 fluid ounces and sell for $3.52 is 22.

What is proportionality?

When the corresponding elements of two numerical sequences, frequently experimental data, have a fixed ratio, this is referred to as the coefficient of proportionality, and the two sequences are said to be proportional or directly proportional.

Given:

A small smoothie will be 16 fluid ounces and sell for $3.52,

Convert the price of the smoothie in cents as shown below,

The price of a smoothie = 3.52  × 100   ($1 = 100 cents)

The price of a smoothie = 352 cents

Calculate the proportionality constant as shown below,

The proportional constant = Fluid / price

The proportional constant = 352 / 16

The proportional constant = 22

Thus, The proportional constant is 22.

To know more about proportionality:

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The complete question is: The owners of a smoothie shop want the price of each size smoothie to be proportional to the amount of liquid it contains. A small smoothie will be 16 fluid ounces and sell for $3.52. Find the proportionality constant.

What is the slope of a line that
crosses through the points (-1,-8)
and (2, 1)?

Answers

Answer:There's the answer

Just open it

Step-by-step explanation:

Tell whether 208 and 289 form a proportion

Answers

Answer:

You can tell if two fractions are proportional by using cross multiplication. Only equivalent fractions are proportional. To do this, multiply the denominator, the bottom number in the fraction, of the first fraction with the numerator, the top number in the fraction.

Step-by-step explanation:

The points (-6,-4) and (2,-2) fall on a particular line. What is its equation in point-stope
form?
Use one of the specified points in your equation. Write your answer using integers, proper
fractions, and improper fractions. Simplify all fractions.

Answers

Answer:

y+4= 1/4 * (x+6)

* = Multiply symbol...

Step-by-step explanation:

Point Slope formula is y-y1=m(x-x1)

All you have to do is plug those y's and x's in and you get most of your answer. The part with the actual math is that to find the m which is the slope, you have to do y2-y1/x2-x1. So 2/8 which simplified to 1/4. And BAM point Slope formula.

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Miracle Aryan in YT

The polygons in each pair are similar. Solve for x.*

Answers

Answer:

X = 6

Step-by-step explanation:

Heights is 5x

Lengths is 6x

The solution for the x is 7 as per the concepts of similar polygons.

Given that the polygons in each pair are similar.

To find the value of x, we can set up a proportion between the corresponding side lengths of the two similar polygons.

We have the following proportion:

(6x - 7) / 42 = 25 / 30

To solve this proportion, we can cross-multiply:

30(6x - 7) = 42(25)

Simplifying further, we get,

180x - 210 = 1050

Next, we isolate the variable by adding 210 to both sides of the equation:

180x = 1260

Finally, we divide both sides by 180 to solve for x:

x = 1260 / 180

Simplifying:

x = 7

Therefore, the value of x is 7.

To learn more about similar polygons;

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Someone please correct me
i’m so confused


URGENT ( i have a maths test very soon !!!)

Answers

i'm a bit confused what your question is, but i do know if it's about a decreaser fraction, the answer to that one is 1/4

–3(c – 1) = 33
please help me

Answers

Answer:

c = -10

Step-by-step explanation:

Divide both sides by -3

simplify

c - 1 = -11

add 1 to both sides

c - 1 + 1 = -11 + 1

simplify

c = -10

C=12, all you have to do is factor out the parenthesis and then the rest of the equation.

What is the exact value of tan (19 pi /12 )?

Answers

i think it is around -3.73205080757 havent don’t this in a while though sorry

hey! i’ll give brainliest please help!

Answers

Answer:

third in line

Step-by-step explanation:

hope this helps

Answer:

I think is third in line

Step-by-step explanation:

I believe so

Irina is watching a 3 hour movie on TV. The shaded part of the fraction model below represents the part of each hour that the movie is playing, and the unshaded part represents the time spent on commercials.

Answers

Answer:

3 * 5/6 = 15/6 hours

Step-by-step explanation:

From the figure attached :

The bar is divided into 6 equal parts ; with 5 of the sections being shaded and 1 left unshaded

The shaded represent the actual playing time

Unshaded portion = time spent in commercials

Using the model, the actual playing time of the movie excluding commercials :

(Shaded portion / total portion) * movie length

5 / 6 * 3 = (5*3) / 6 = 15/6

En un partido de baloncesto, los máximos anotadores han sido Juan, Jorge y Mario. Juan ha logrado 19 puntos. Jorge 5 puntos más que Juan y Mario 7 puntos menos que Jorge. ¿Cuántos puntos han obtenido entre los tres? *

Answers

Answer:

31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

which of the following could represent the angle measurements of a right triangle
A: 90°, 30°, 40° B: 15°, 85°, 90° C: 20°, 70°, 90° D: 40°, 40°, 100°

Answers

THE ANSWER to the question IS C

How many 2/5 cup servings are in 9/5 cups of ice cream? (in simplest fraction form)

Answers

Answer:

4 1/2 cups of ice cream

Step-by-step explanation:

since the denominators are the same, we look at the numerator.

2 x 4 = 8 out of 9 cups

Write 2^3 ÷ √ 2 as a single power of 2.

Answers

Answer:

Step-by-step explanation:

Numerator:  2^3

Denominator:  2^(1/2)

Combining these, we subtract 1/2 from 3, obtaining 2^(5/2)

a set of two concentric circles is shown above. What is the area of the shaded portion above?

Answers

Answer:

The answer is "[tex]44 \ m^2[/tex]"

Step-by-step explanation:

[tex]R=4.5 \ m \\\\r=2.5\ m\\\\[/tex]

The area between two concentrated circles via an exterior circle radius R and an internal circle

[tex]r =\pi(R^2-r^2)[/tex]

The region, therefore, consists of two concentrated circles with radii of 4.5 m and 2.5 m.

[tex]r=\pi(4.5^2 -2.5^2)\\\\[/tex]

  [tex]=\frac{22}{7} (20.25-6.25) \\\\ =\frac{22}{7} (14) \\\\=22 \times 2 \\\\ =44 \ m^2[/tex]

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Independent & DependentIndependent Variable: Presence Of WormsDependent Variable: Plant Growth Safety ProcedureBe sure to follow the safety procedure which means to Wear safety goggles and lab gown while doing the experiment Keep lab behavior purposeful Look over the soil contents and make sure to follow warnings provided on any equipmentWash hands and lab equipment once done with experimentTreat living organisms with respect and provide proper careReport any accidents that happen in the lab to your teacherLab ProcedureStep 1: Gather MaterialsTwo trays that are 10 cm 4 deep Potting soilLima bean seeds which need to be soaked overnightLocation with sunlight or growth lightsWormsGraduated cylinderWaterBlack markerRuler with metric markings Step 2: Prepare Two Trays Of Lima Bean Plants Label the trays Control Group and Experimental GroupAdd approximately 6-7 cm of soil to each trayPlant 6 lima bean seeds in each tray being 2 cm deep and label the plants 1-6 Step 3: Give The Plants Water And Light During Sprouting TimeKeep the environments for both groups identical Water all the plants following the watering schedule that was recommended on the seed packaging Use the graduated cylinder to ensure the same amount of water is being given to both groups Make sure all plants get the same amount of light Step 4: Measure The Heights Of The Plants At The End Of Week 1Measure the height of all twelve plants to the nearest cm. If a plant dies mark an x on the data table for that plant and write it in your notesUse a calculator to find the average heights of the living plants in each groupsCalculate the difference in those average heights by subtracting the average height of the plants in the control group. Use this difference as a basis for comparisonRecord measurement observations in your notes and the health of the plants such as leaf colors and size, wilting, unusual growth, brown spots, and any other marks you see Step 5: Add Six Worms To The Soil Of The Experimental Group Of PlantsWrite descriptive notes about the condition of the worms in your notes Step 6: Measure The Heights Of The Plants At The End Of The Week 3Repeat step 4 Step 7: Measure The Heights Of The Plants At The End Of Week 5Repeat step 4 Step 8: Check The Health Of The Worms At The End Of The StudyAre the worms still alive?Do they all seem healthy?Have they changed in any way? 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