The angles shown are supplementary. (3x + 15)° 60° What is the value of x?​

Answers

Answer 1

Answer:

x = 35

Step-by-step explanation:

Supplementary angles add up to 180°.

if (3x + 15)° and 60° are supplementary, then

3x + 15 + 60 = 180

now, you just have to solve the equation.

3x + 75 = 180

3x = 105

x = 35

Check

3*35 + 15 + 60 = 180

105 + 15 + 60 = 180

180 = 180


Related Questions

Which inequality is NOT true if y = -5?
A. 2y - 10 > 13
B. -14 + 6y < 8
C. 3y + 9 > -15
D. -24 - 4y < -3

Answers

Answer:

A

Step-by-step explanation:

2(-5) - 10 > 13

-10 - 10 > 13

-20 is not greater than 13.

Answer:

A

Step-by-step explanation:

5+2(2x-3)+8x = -5x +2








5 -2(2x-3)+8x = -5x +2


show how you did it

Answers

Answer:

answer to top question:  x = 3/17

answer to bottom question:  x = -1

Step-by-step explanation:

distribute first

5 + 4x - 6 + 8x = -5x + 2

combine like terms

-1 + 12x = -5x + 2

12x = -5x + 3

17x = 3

x = 3/17

5 - 4x + 6 + 8x = -5x + 2

4x + 11 = -5x + 2

9x + 11 = 2

9x = -9

x = -1

The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, then find the other number.

Answers

Given:

The LCM of two numbers is 14 times their HCF.

The sum of LCM and HCF is 600.

One number is 280.

To find:

The other number.

Solution:

Let HCF of two numbers be x.

The LCM of two numbers is 14 times their HCF.

LCM = 14x

The sum of LCM and HCF is 600.

[tex]14x+x=600[/tex]

[tex]15x=600[/tex]

[tex]x=\dfrac{600}{15}[/tex]

[tex]x=40[/tex]

So, HCF = 40 and the LCM is

[tex]LCM=14(40)[/tex]

[tex]LCM=560[/tex]

We know that, if a and b are two numbers, then

[tex]a\times b=LCM(a,b)\times HCF(a,b)[/tex]

One number is 280.

[tex]280\times b=560\times 40[/tex]

[tex]b=\dfrac{560\times 40}{280}[/tex]

[tex]b=2\times 40[/tex]

[tex]b=80[/tex]

Therefore, the other number is 80.

can someone plz help me?​

Answers

Answer: x = 2

Step-by-step explanation: the interior angles of a rhombus add to 360 degrees and since half of 360 is 180, create the equation 130 + (36 +7x) and set it equal to 180. when solved 130 + (36 +7x) = 180 you get x =2

answer

1st rearrange the terms. then subtract 36 in both sides.then you will get 94=7x then simplify  by dividing by 7. then you will get 13.4285714286. which if you round up maybe its 94/7.

-16+ x= -15
Need this answer

Answers

Answer:

x=1

Step-by-step explanation:

Add

16

to both sides of the equation.x=−15+16 Add −15 and 16.x=1

Answer:

Step-by-step explanation:

-16 + x = - 15

Add 16 to both sides

-16 + 16 + x  = -15 + 16

              x = 1

Ray predicted he would score 18 points during a basketball game. He only scored 12 points. What is his percent error

Answers

Answer:

hey read this no quema cuh

Step-by-step explanation:

Answer:

His percentage error is 33%.

Step-by-step explanation:

18 - 12 = 6

6 is one-third of 18, which is equivalent to 33%.

Taut learns that when she spends $65.00 on supplies she is able to grow 162.5 pounds of tomatoes. How many dollars is Taut spending per pound of tomatoes grown?

Answers

Answer: $0.4 is spent by Taut  per pound of tomatoes grown

Step-by-step explanation:

Given : On spending $65.00 , tomatoes grown by Taut = 162.5 pounds

To find :  Taut expenditure per pound of tomatoes grown = ?

As it is given that :

162.5 pounds of tomatoes are grown by spending = $65.00

Thus 1 pound of tomatoes are grown by spending = [tex]\frac{65.00}{162.5}\times 1=0.4[/tex]

Thus $0.4 is spent by Taut per pound of tomatoes grown

What is the volume of this rectangular prism?

Answers

Answer:

1cm³

Step-by-step explanation:

You do not need a calculator for this.

The formula for the volume of a rectangular prism is:

Length × Width × Height = Volume

If we substitute our numbers in:

5/4 × 4/3 × 3/5 = 1cm³

All you need to do is multiply across.

5 × 4 × 3 = 60

4 × 3 × 5 = 60

The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.

60/60

find the value of y .
show work​

Answers

Given:

The figure of a right angle triangle.

To find:

The value of y.

Solution:

If a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In the given right triangle,

[tex]\cos (30^\circ)=\dfrac{4\sqrt{3}}{y}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{4\sqrt{3}}{y}[/tex]

[tex]\sqrt{3}\times y=2\times 4\sqrt{3}[/tex]

[tex]\sqrt{3}\times y=8\sqrt{3}[/tex]

Isolate the y variable.

[tex]y=\dfrac{8\sqrt{3}}{\sqrt{3}}[/tex]

[tex]y=8[/tex]

Therefore, the value of y is 8.

which number line shows the solution to the inequality
5x + 3 ≥ - 17?​

Answers

Answer:

C.

Step-by-step explanation:

x=-y+3,3x-2y=-1 use substitution to solve the equation

Answers

Answer:

{x,y} = {1,2} I believe <3

Step-by-step explanation:

Answer:

3x - 2y = -1

  [2]    x + y = 3

Step-by-step explanation:

whoever guesses my birth month first gets the brainliest​

Answers

i’m guessing january

PLEASE HELP ASAP (8th grade question)

Answers

Answer:

m∠2=35°, m∠1=35°

Step-by-step explanation:

∠2 and ∠4 equal 180° when added, so 180-145=35

all angles of a triangle equal 180°, so 180-∠3-∠2=∠1

180-110-35= 35

If the total labor cost is $865,000 and $78,000 is for parking attendants, what percentage of the yearly labor cost is for the parking staff?( round to the nearest percent.)

Answers

Answer:

9%

Step-by-step explanation:

The percentage of the yearly labour cost for the parking staff is 9%.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that if the total labour cost is $865,000 and $78,000 is for parking attendants.

The percentage of the yearly labour cost for the parking staff is calculated below:-

Percentage = 78000 / 865000

Percentage = 0.09 x 100

Percentage = 9%

Therefore, the percentage of the yearly labour cost for the parking staff is 9%.

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Solve.
show all work
-2x+10=20

Answers

Answer:

x= -5

Step-by-step explanation:

-2x+10=20

-2x+10-10=20-10

-2x=10

-2x/-2=10/-2

x = -5


The answer is -5
This is how you do it:

Round to the hundredths place.
$4.56 for 18 cookies

Answers

It’s either 4.56 or 4.60

Noah was hired for $28.751.00 per year. How
much does Noah receive per week?

Answers

Answer:

$552.90

Step-by-step explanation:

There are 52 weeks in a year

28,751/52= 552.9038462

since this is money you just round

Jenny bought gas for her car gas cost $3.45 per gallon Jenny bought 12.5 gallons what was the total of Jenny's gas

Answers

Answer: $43.13

Step-by-step explanation:

The cost of a gallon of gasoline is $3.45.

Jenny bought 12.5 gallons of said gasoline. Her total cost is therefore:

= Cost of a gallon * number of gallons purchased

= 3.45 * 12.5

= $43.13

Answer:

43.14

Step-by-step explanation:

What is the point on the unit circle for the angle below? Help Res 60° (1.0) 2 ?] 2 ) 9 2 Enter​

Answers

Answer:

1 and 3

Step-by-step explanation:

Answer:

The answer is

[tex] \frac{1}{2} \: and \: \frac{ \sqrt{2} }{2} [/tex]

Step-by-step explanation:

Let The point (X, Y)

Since half of the diameter is equal to 1

Then

[tex] {x}^{2} + {y}^{2} = 1[/tex]

Why is the measurement of angle is equal to 60, this triangle was equal

Then

[tex] {(x - 1)}^{2} + {y}^{2} = 1[/tex]

By comparing the equals together

[tex] {x}^{2} = {(x - 1)}^{2} \\ {x}^{2} = {x}^{2} - 2x + 1 \\ 2x = 1 \\ x = \frac{1}{2} \\ Compensation \: in \: any \: equation \\ then \: y = \frac{ \sqrt{2} }{2} [/tex]

40 POINTS!!!!!!!! NEED HELP
Figure ABCD below is transformed to obtain figure A′B′C′D′:

A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 1, B prime at 2, negative 1, C prime at 2, negative 4, D prime at 4, negative 2.

Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)

Part B: Are the two figures congruent? Explain your answer. (4 points)

Answers

Where is the grid are u gonna take a pic?

Answer:

Hello! I just did the test this is on

Step-by-step explanation:

Part A-

reflect the shape across x

then move 1 to the right and 4 units down

Part B- Yes

It is still the same shape as well as the same size

pls Help I hate math

Answers

Answer:

C

Step-by-step explanation:

Remark

There are three rectangles all the same size.

There are two triangles both the same size

Triangles.

Givens

b = 7.5 cm

h = 6.5

Solution

Area 1 triangle =   1/2 * 7.5 * 6.5

Area 1 triangle = 24.375

Area 2 triangles = 2*24.375 =                            48.75

Rectangles

Givens

L = 13.5

w = 7.5

Solution

Area one rectangle = L*w

Area one rectangle = 13.5*7.5

Area one rectangle = 101.25

Area three rectangles =  3*101.25

Area three rectangles =                                   303.75    Add

Total Area =                                                      352.5              

In QRS q=9.6 inches r=9.9 inches and S=92 Find the length of a to the nearest 10th of an inch

Answers

Answer:

14

Step-by-step explanation:

delta math gave me the answer

The length of a to the nearest 10th of an inch is 13.6 inches.

What is Trigonometry?

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

In ΔQRS q=9.6 inches r=9.9 inches and S=92.

So, s² = q² + r² - 2qr cos s

s² = 9.6² + 9.9² + 2(9.6)(9.9) cos 92.

s² = 190.71 + 190.08 x (-0.035)

s² = 183.52

s = 13.55

s = 13.6 inches

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PLEASE HELP :)))

triangle similarity theorem

Answers

Answer:

9i

Step-by-step explanation

The formula A = lw gives the area A of a rectangle with length l and width w. What is the area in square feet of a United States flag with a length of 13 feet and a width of 6 feet.

The area is ___ square feet.

Answers

Answer:

78

Step-by-step explanation:

You just plug in 13 as the length and 6 as the width

Then you multiply and get the answer

Which function is shown on the graph?

A. f(x)=1/2cos x

B. f(x)=1/2sin x

C. f(x)=-1/2cos x

D. f(x)=-1/2sin x

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I took the test

A rectangle has sides of length 8cm and 3.2cm. Calculate the angle between the diagonal and a shorter side.

Answers

Answer:

The angle is 68.2 degrees

Step-by-step explanation:

Let us have the shorter side as the width

In that case, the opposite will be the length which is 8 cm

The diagonal is the hypotenuse

The short side is the adjacent

The trigonometric ratio that links the opposite and the adjacent is the tan

tan of an angle is the ratio of its opposite to the adjacent

In this case,

tan theta = 8/3.2

theta = arc tan (8/3.2)

theta = 68.2 degrees

Mary and Julie both have a goal of raising $1000 for charity. Mary raises $12 every 4 days. Julie raises $19 every 6 days.

Will Mary or Julie reach her goal first? Explain.

Answers

Answer:

Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day. Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day. Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.

Step-by-step explanation:

Answer:

Sample Answer: Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day. Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day. Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.

Step-by-step explanation:

BIG BRAIN

Find 142.8% of 461. Round to the nearest tenth.

Answers

Answer:

660

brainliest???????????

Step-by-step explanation:

Answer:

660

Step-by-step explanation:

142.8% * 461 = 1.428 * 461 = 658.308.

Rounding 658.308 to the nearest 10th, we get:

660

The lengths (in miles) of two highways after t years of construction can be modeled by 20t + 150 and 15t+ 200. What is the difference of the lengths of the highways when 1 = 1 = 4? Explain.

Answers

Step-by-step explanation:

13.5 is the difference of the length of the roads

- 3 ( x + 4 ) = - 24

What is x?

*the dash in front of the numbers is a negative sign*

Answers

Let's solve your equation step-by-step.

−3(x+4)=−24

Answer:

x=4

The answer is X = 4
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