Angles 1 and 2 are supplementary. 2 lines intersect to form angles 1 and 2. Which equation represents the relationship between their measures?

Answers

Answer 1

Answer:

[tex]\angle 1 + \angle 2 = 180^o[/tex]

Step-by-step explanation:

Given

[tex]\angle 1[/tex] and [tex]\angle 2[/tex]

Required

The relationship between them [tex]\angle 1[/tex] and [tex]\angle 2[/tex]

From the question, we understand that [tex]\angle 1[/tex] and [tex]\angle 2[/tex] are supplementary

Supplementary angles add up to 180.

So, the relationship between [tex]\angle 1[/tex] and [tex]\angle 2[/tex] is:

[tex]\angle 1 + \angle 2 = 180^o[/tex]


Related Questions

Work out the value of 10^2 - 4^3
Give your answer as a power of 6.

Answers

Answer:

6^2 = 36

Step-by-step explanation:

10^2 = 10 * 10 = 100

4^3 = 4 * 4 * 4 = 64

10^2 - 4^3= 100 - 64 = 36 = 6^2

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]6^2[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\10^2 - 4^3\\---------------\\\rightarrow 10^2 = 100\\\\\rightarrow 4^3 = 64\\\\\rightarrow 100 - 64 = \boxed{36}\\\\\text{Since we know that '36' is a perfect square, we can rewrite our answer as: } \boxed{6^2}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

If your not busy mind helping me on this ​

Answers

Answer:

F

Step-by-step explanation:

add all the numbers and divide them by how many numbers there is(in this case 15) to find the average of the prices

Please Help.

A square prism and a cylinder have the same height. The area of the cross-section of the square prism is 314 square units, and the area of the cross-section of the cylinder is 50π square units. Based on this information, which argument can be made?
A. The volume of the square prism is one third the volume of the cylinder.
B. The volume of the square prism is half the volume of the cylinder.
C. The volume of the square prism is equal to the volume of the cylinder.
D. The volume of the square prism is twice the volume of the cylinder.

Answers

As we know, The volume of the square prism is twice the volume of the cylinder

To determine the relationship between the volume of the square prism and that of the cylinder, we need to find both volumes.

The volume of the square prism is V = Ah where A is the cross-sectional area and h its height. Since A = 314 square units,

V = 314 × h = 314h

Also, the volume of the cylinder is V = A'h where A' is the cross-sectional area of the cylinder and h' its height. Since the A' = 50π square units,

V' = 50π × h' = 50πh'

The ratio of the volume of the square prism to that of the cylindrical prism is V/V' = 314h/50πh'

Since the height of the square prism equals that of the cylinder, h = h'.

So, V/V' = 314h/50πh .

V/V' = 314/50π

if we take π = 3.14,

V/V' = 314/(50 × 3.14)

V/V' = 100/50

V/V' = 2

So, V = 2V'

Thus, the volume of the square prism is twice the volume of the cylinder.

So, the answer is D.

Learn more about square prisms and cylinders here:

https://brainly.com/question/23245822

Answer:

D. The volume of the square prism is twice the volume of the cylinder.

Step-by-step explanation:

took the test, got it right, comment below if you would like a step by step explanation

One year ago, the ratio of Honey and Piyush ages was 2:3 respectively. After five years from now, this ratio becomes 4:5. How old is Piyush now?

Answers

Answer:

eşnatto eşmatoroorlfld

Answer:

Now , Piyush age =3+Honey age

Step-by-step explanation:

Honey age=x

Piyush age=y

1 year ago,Honey age=x-1

Piyush age=y-1

the ratio of Honey and Piyush age=2:3

x-1:y-1=2:3

x-1/y-1=2/3

3(x-1)=2(y-1)

3x-3=2y-2

3x-2y= -2+3

3x-2y=1 eq _1

after 5 years from now,

Honey age=x+5

Piyush age=y+5

the ratio of them=4:5

x+5/y+5=4/5

5(x+5) =4(y+5)

5x+25=4y+20

5x-4y=20-25

5x-4y=-5 _eq2

eq1and 2_

5x-4y= -5

3x-2y= 1

-

2x-2y=-6

x-y =-3

-y=-3-x

y=3+x

please answer this question​

Answers

Answer to the question would be 5

What is the area of the shape below?


A.
886 cm2
B.
781.5 cm2
C.
1,019 cm2
D.
990.5 cm2

Answers

Answer:

Area = 886cm^2

Step-by-step explanation:

34 • 16 = 544

19 • 11 = 209

25 - 11 = 14

14 • 19 = 266/2

266/2 = 133

544 + 209 + 133 = 886cm^2

[tex]\frac{-3}{\sqrt{x} +3} +\frac{1}{2}[/tex]

Answers

[tex]\huge\bold\color{blue}{⁂Answer:}[/tex]

[tex]\bold{ - \frac{6 \sqrt{x} - x - 9 }{2(x - 9)} }[/tex]

#CarryOnLearning

[tex]\bold\color{red}{༄Fairy \: Elfꨄ︎}[/tex]

help me with this pleaseeee

Answers

Answer:

it's 64..............

It is 64 because 4x4x4=64

Vector u has its initial point at (-7, 2) and its terminal point at (11, -5). Vector v has a direction opposite that of vector u, and its magnitude is three times the magnitude of u. What is the component form of vector v?

A. v = <-54, 63>
B. v = <-162, -63>
C. v = <-54, 21>
D. v = <-162, 21>

Answers

Answer:

Answer is C) V= <-54,21>

Step-by-step explanation:

Compenent form of v is <-54,21>

If someone could help that would really be great. Thank you.!

Answers

x=45 degrees
the angles should add up to 180 degrees in a triangle, so if you do 180-105-30, you end up with 45 (hope that helps)

Four bells at intervals of 12 minutes, 18 minutes, 20 and 25 minutes. If they toll together at 10 am, when next do they toll together again? ​

Answers

Answer:

1.00 am

Step-by-step explanation:

Find the LCM of 12,18,20 and 25

=900 min ....change it to hrs =15 hrs

10.00am___1000hrs

1000hrs+15hrs

=0100hrs

=1:00 am

hi pls help.you do not have to do all 3. just either one will be ok pls explain as well:) thank you

Answers

Answer:

[tex]{7a^{5}b^{5} c\\[/tex]

Step-by-step explanation:

 [tex]\frac{28a^{8}b^{6} c^{3} }{4a^{3}bc^{2} }[/tex]

→ First look at the first term of each expression and see if they can be simplified, and they can

[tex]\frac{7a^{8}b^{6} c^{3} }{a^{3}bc^{2} }[/tex]

→ Now look at the a terms, since a larger one is at the top, you subtract

[tex]\frac{7a^{5}b^{6} c^{3} }{bc^{2} }[/tex]

→ Now simplify the b and c terms

[tex]{7a^{5}b^{5} c[/tex]

Joe and JoAnn each bought 12 ounces of coffee in a 16 ounce cup. Joe drank 2 ounces of his coffee and then added 2 ounces of cream. JoAnn added 2 ounces of cream, stirred the coffee well, and then drank 2 ounces. What is the resulting ratio of the amount of cream in Joe's coffee to that in JoAnn's coffee

Answers

Answer:

[tex]Ratio = 7:6[/tex]

Step-by-step explanation:

Given

Initially

[tex]Joe = 12oz[/tex] -- coffee

[tex]JoAnn = 12oz[/tex] -- coffee

Joe drank 2oz coffee; So, we have:

[tex]Joe = 12oz - 2oz[/tex]

[tex]Joe = 10oz[/tex] --- coffee

Joe added 2oz cream; So, we have:

[tex]Joe = 10oz[/tex] --- coffee     [tex]Joe = 2oz[/tex] --- cream

JoAnn added 2oz cream and stirred. So, we have:

[tex]Joe = 12oz[/tex] --- coffee     [tex]JoAnn = 2oz[/tex] --- cream

[tex]Total = 14oz[/tex]

JoAnn drank 2oz from the drink; the amount of drink JoAnn drank is:

[tex]JoAnn = \frac{Cream}{Total}[/tex]

[tex]JoAnn = \frac{2}{14}[/tex]

[tex]JoAnn = \frac{1}{7}[/tex]

Amount of cream left is:

[tex]Amount = [1- \frac{1}{7}] *2[/tex]

Take LCM

[tex]Amount = [\frac{7-1}{7}] * 2oz[/tex]

[tex]Amount = \frac{6}{7} * 2oz[/tex]

[tex]Amount = \frac{12}{7}oz[/tex]

So, we have:

[tex]Joe = 2oz[/tex] --- cream

[tex]JoAnn = \frac{12}{7}[/tex] cream

The ratio is:

[tex]Ratio = 2:\frac{12}{7}[/tex]

Multiply by 7

[tex]Ratio = 14:12[/tex]

Divide by 2

[tex]Ratio = 7:6[/tex]

How many significant digits are there in the number 5.5x10?? OA) 2 O B) 3 OC) 4 OD) 5​

Answers

2

[tex]\\ \sf\longmapsto 5.5\times 10^3[/tex]

Take decimals away

[tex]\\ \sf\longmapsto 55\times 10^4[/tex]

We know

Zeros to the right end of a number are not counted among significant figures

Hence number of significant figures is 2

9514 1404 393

Answer:

  2

Step-by-step explanation:

When a number is written in scientific notation, all of the digits of the mantissa are considered significant. The mantissa is 5.5, which has 2 digits.

There are 2 significant digits in the number.

What is 9x + 100 = 829

Answers

Answer:

81

Step-by-step explanation:

9x + 100 = 829

9x =829-100

= 729

x = 729/9

x = 81

Answer: x = 81

Step-by-step explanation:

You'd want to isolate x, meaning subtracting 100 on both sides to remove that from the equation. This results in 9x = 729, divide by 9 on both sides to remove that too from the equation and you'd be left with x = 81.

Tom is a builder and earns $38.50 an hour. Calculate his weekly wage if he works for 38 hours?

Answers

Answer:

$1,463

Step-by-step explanation:

38.50x38=1,463

You multiple both numbers together
38.50 x 38 = 1463

Segment addition and midpoints

Answers

RT= 12
RS=7
ST= RT-RS= 12-7= 5
QT=16
QR= 16-RT= 16-12= 4
QS= QR+RS= 4+7=11
QS=11

The measure of QS is 11 units.

What is a Line Segment?

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment QT, where the length of line segment QT refers to the distance between its endpoints, Q and T.

Q_________R___________S_________T

Given that RT= 12

And RS=7

⇒ RT= RS + ST

⇒ ST= RT - RS

⇒ ST= 12-7

Substitute the values of RT and RS,

⇒ ST= 5

⇒ QT= 16

⇒ QR = 16 - RT= 16 - 12 = 4

⇒ QS = QR + RS

Substitute the values of QR and RS,

⇒ QS = 4 + 7=11

⇒ QS = 11

Hence, the measure of QS is 11 units.

Learn more about the line segment here:

brainly.com/question/25727583

#SPJ2

someone please help me I really need help on this or ill fail

Answers

Answer:

a. Smart Dot Company: C = 12 + 0.5·t

Communications Plus: C = 2.5·t

b. Please find attached the required tables created using MS Excel cell function tool

c. Please find attached the graph of both relationship created on the same grid with

Step-by-step explanation:

a. The monthly cost of the Smart Dot Company = $12

The hourly cost for internet use on Smart Dot Company = $0.50

The hourly cost of using the Communications Plus = $2.50

Therefore, the total monthly cost, C, for the duration of hours used, t, is given as follows;

Smart Dot Company: C = 12 + 0.5·t

Communication Plus: C = 2.5·t

b. The table of values are created using MS Excel as follows;

[tex]\begin{array}{ll}Smart \ Dot \ Company&\\Time \ (hours)&Cost \ (dollars)\\0&12\\2&13\\4&14\\6&15\\8&16\\10&17\end{array}[/tex]    [tex]\begin{array}{ll}Communications\ \ Plus&\\Time \ (hours)&Cost \ (dollars)\\0&0\\2&5\\4&10\\6&15\\8&20\\10&25\end{array}[/tex]

c. Please find attached the graph of both relationship created on the same grid with MS Excel

Factorize this 5y2 + 2y – 3a2?

Answers

Answer:

y(5y +2) -3a²

Step-by-step explanation:

that is the solution above

the width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.
will give brainliest to correct answer

Answers

Answer:

Step-by-step explanation:

I answered your question in #24317186. Apparently you asked it twice and no one helped you yesterday.

Which points are possible approximations for this system? Select two options.

Answers

Step-by-step explanation:

second: (2.2,-1.4)

third: (2.2,-1.35)

Step-by-step explanation:

hope it helps✨

Whats the answer i got 1 minute left

Answers

Answer:

Step-by-step explanation:

Answer:

[tex]-\frac{3p^8}{4q^3}[/tex]

Step-by-step explanation:

One is given the following expression,

[tex]\frac{15p^-^4q^-^6}{-20p^-^1^2q^-^3}[/tex]

Since (15) and (-20) are both divisible by (5), one can divide both terms by (5) to simplify it.

[tex]\frac{3p^-^4q^-^6}{-4p^-^1^2q^-^3}[/tex]

Now bring all of the terms with a negative exponent to the numerator. Multiply the exponents by (-1), then add them to the exponents of the like term in the numerator. Simplify the resulting exponents

[tex]\frac{3p^-^4q^-^6}{-4p^-^1^2q^-^3}[/tex]

[tex]\frac{3p^-^4^+^(^-^1^)^(^-^1^2^)q^-^6^+^(^-^1^)^(^-^3^)}{-4}[/tex]

[tex]\frac{3p^-^4^+^1^2q^-^6^+^3}{-4}[/tex]

[tex]\frac{3p^8q^-^3}{-4}[/tex]

Rewrite the fraction such that there are no negative exponents. Remember the rule, when bringing a number from the numerator to the denominator and back, multiply the exponent of the number by (-1). One can only switch numbers between the numerator and the denominator when all operations are multiplication or division.

[tex]\frac{3p^8q^-^3}{-4}[/tex]

[tex]-\frac{3p^8}{4q^3}[/tex]

A student said that since -9 is less than 4, then |-9| is less than |4|. Is the student correct? Explain why or why not.

Answers

No, that is not true. The absolute value is the distance a number is from zero. The distance of -9 to 0 is 9. 9 is not less than 4.

Answer:

No.

Step-by-step explanation:

They are not correct because the "| |" signs mean absolute value. What ever is inside the signs must be positive. So -9 becomes 9 and 9 is greater than 4. So, the student is not correct.

On a unit circle, the terminal point of θ is (√2/2, √2/2). What is θ?

Answers

Given:

On a unit circle, the terminal point of θ is [tex]\left(\dfrac{\sqrt{2}}{2},\dfrac{\sqrt{2}}{2}\right)[/tex].

To find:

The value of [tex]\theta[/tex].

Solution:

If the terminal point of θ is (x,y), then

[tex]\tan \theta=\dfrac{y}{x}[/tex]

On a unit circle, the terminal point of θ is [tex]\left(\dfrac{\sqrt{2}}{2},\dfrac{\sqrt{2}}{2}\right)[/tex]. So,

[tex]\tan \theta=\dfrac{\dfrac{\sqrt{2}}{2}}{\dfrac{\sqrt{2}}{2}}[/tex]

[tex]\tan \theta=1[/tex]

[tex]\tan \theta=\tan \dfrac{\pi}{4}[/tex]

[tex]\theta=\dfrac{\pi}{4}[/tex]

Therefore, the correct option is D.

47. The legs of a triangle measure 7 mm and 24 mm. What length hypotenuse makes the triangle a right triangle?
A. 23 cm
B. 25 cm
C. 161 cm
D. 289 cm​

Answers

Answer:

B

Step-by-step explanation:

according to pythagorean

[tex]7^{2} + 24^{2} =x^{2}[/tex] (x>0)

=> [tex]x^{2} =625[/tex]

=>[tex]x=\sqrt{625}[/tex] = 25

if measure of three angles of a quadrilateral are 65 degree 95 degree and 45 degree then find the measure of the fourth​ angle?

Answers

Answer:

155 degrees

Step-by-step explanation:

Hi there!

The sum of the interior angles of a quadrilateral is always 360 degrees. To find the measure of the fourth angle, subtract 65, 95 and 45 from 360:

360-65-95-45

= 155

Therefore, the measure of the fourth angle is 155 degrees.

I hope this helps!

Answer:

155 degrees

Step-by-step explanation:

A quadrilateral has a total internal angle sum of 360 so we can set up an equation where x is the fourth angle

360=65+95+45+x

360=205+x

x=155

Find the measurement of ∠ABE. Show all your work that leads to the final answer.

Answers

Answer:

m∠ABE = 129 degrees

Step-by-step explanation:

360 degrees = max/total degrees in a circle

Given angles = 65 degrees & 37 degrees

Unknown/congruent angles = m∠ABE & m∠DBC

••••••••••••••••••••••••••••••••••••••••••

That was just information for the shape!

Now let’s get into the question.

Question: Find the measurement of m∠ABE

65 + 37 + m∠ABE + m∠DBC = 360 degrees

Add 65 and 37

102 + m∠ABE + m∠DBC = 360 degrees

Subtract 102 from 360 degrees

m∠ABE + m∠DBC = 258 degrees

Divide 258 in half

m∠ABE & m∠DBC = 129 degrees
—————————————————

Therefore m∠ABE = 129 degrees

What is the simplest shape in Mathematics?

Answers

A point? I am not sure if ur talking about 2d or 3D

Two similar polygons have areas of 4 square inches and 64 square inches.

The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .

Answers

Answer:

4

Step-by-step explanation:

The ratio of the area of similar figures is the ratio between corresponding sides squared. This means that 64/4 or 16 is the square of the ratio of corresponding sides. By taking the square root of 16, we get that ratio is 4.

Please help me solve these problems guys I’m really struggling

Answers

Answer:

Step-by-step explanation:

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