Find the measure of the angle which is double of its complement angle

Answer:

x = 7

Step-by-step explanation:

Given the equations

2x + 3y = 17 → (1)

2y + z = 1 → (2)

5x + 10z = 25 → (3)

Rearrange (2) expressing z in terms of y

z = 1 - 2y

Substitute z = 1 - 2y into (3)

5x + 10(1 - 2y) = 25

5x + 10 - 20y = 25 ( subtract 10 from both sides )

5x - 20y = 15 → (4)

Multiply (1) by 20 and (4) by 3, then add to eliminate the y- term

40x + 60y = 340 → (5)

15x - 60y = 45 → (6)

Add (5) and (6) term by term to eliminate y, that is

55x = 385 ( divide both sides by 55 )

x = 7

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

From the equation [tex]2y + z = 1[/tex] , we can separate [tex]z[/tex] so that [tex]z = 1-2y[/tex].

The equation [tex]5x+10z = 25[/tex] can then be turned into:

[tex]5x+10(1-2y) = 25[/tex]

[tex]5x+10-20y = 25[/tex]

[tex]5x -20y = 15[/tex]

[tex]x-4y = 3[/tex] (divide by [tex]5[/tex] on both sides)

We can now use elimination to solve for one of the variable:

[tex]2(x-4y) = 2\times3[/tex] (times 2 to get [tex]2x[/tex] for elimination)

[tex]2x-8y=6[/tex]

[tex]2x+3y-(2x-8y) = 17-6[/tex]

[tex]11y = 11[/tex]

[tex]y = 1[/tex]

Now, we can use substitution to solve for [tex]x[/tex]:

[tex]2x+3y = 17[/tex]

[tex]2x+3 = 17[/tex]

[tex]x = 7[/tex]

Hope this helps :)

Answer:

we need 2 equations to solve by elimination

Answer:

Step-by-step explanation:

for x

3x + y = -1

subtract 3x from both sides

y = -3x - 1

answer

for y

3x + y = -1

subtract y on from both sides

3x = -y -1

divide by 3

x = -1/2y - 1/3

answer

Answer:

Sorry I can’t read it wish I could help man have a good day and be safe, wear a mask in public, sanit- jk! Just be kind to others and be safe love ya!

Step-by-step explanation:

Answer:

Light + carbon dioxide → glucose + oxygen.

Step-by-step explanation:

A is the right one.

...

.

Answer:

Im pretty sure the first two are no..that's it

Answer:

A: No

B: Yes

C: Yes

D: No

Step-by-step explanation:

Answer:

y - 13 = 3(x - 5)

Step-by-step explanation:

x represents week and y represents inches. Week 2 and week 5 = 2 to 5 = three number difference. The inches which is 4 and 13 have a 9 inched difference. So like I said week represents x and y represent inches so now u have to find the slope, which would be y/x so replace it with the numbers we got so it would now be 9/3. The simplified version would be 3. So the slope is 3.

Point-slope equation: y-y^1=m(x-x^1), y^1 and x^1 are just some random points on the graph, but since we don't have a graph we can use either week 2 and 4 inches or week 5 and 13 inches because if this were a graph, those would be existing points on the graph. And m is the slope so just replace m with 3. We'll use 5 and 13 so: y - 13 = 3(x - 5)

side note: kinda took a long time sorry haha, I had to refresh my knowledge on point-slope equations since it's been a long time since i learned it.

Answer:

Please use LaTeX I Assure you it is great

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{log 2^{2} }{log 2^{4} } =\frac{2 log ~2}{4 log~2} =\frac{2}{4} =\frac{1}{2}[/tex]

Answer:

the answer is C

Step-by-step explanation:

Answer: 30 degrees

Step-by-step explanation: A triangle has 180 degrees.

70 plus 80 equals 150 degrees.

180 minus 150 equals 30.

Answer:

x = 6 , 50°

Step-by-step explanation:

(8x + 2)° + 70° + 60° = 180°

8x + 2 + 130 = 180

8x = 180 - 132

8x = 48

x = 6

Measure of missing angle 8(6) + 2 = 50°

Answer:

Part 1) [tex]16[/tex] inches of rain

Part 2) [tex]4^{\circ}[/tex] per hour

Step-by-step explanation:

Rainy day scenario:

From the information given, the rain in the rain gauge increases by 2 inches per day (24 hours = 1 day). The increase of rain over an 8 day period will be [tex]2\times8=16[/tex] inches of rain.  

Temperature scenario:

From the information given, the temperature drops [tex]48^{\circ} /12hours[/tex]. To find how many degrees the temperature dropped per hour:

[tex]48^{\circ}\div12/12hours\div12 = 4^{\circ}/1hour[/tex]

∴ The temperature drops [tex]4^{\circ}[/tex] per hour.

Hope this helps :)

Answer:

$63

Step-by-step explanation:

70 x 10% = 7

70 - 7 = 63

Answer:

63

Step-by-step explanation:

Answer:

Step-by-step explanation:

y + 4 = 14(x - 12)

y + 4 = 14x - 168

y = 14x - 168 - 4

y = 14x - 172

Answer:

33 questions.

Step-by-step explanation:

Let x = 4 points questions.

Let y = 8 points questions.

Translating the word problem into an algebraic equation;

For the total number of questions;

[tex] x + y = 65[/tex] .........equation 1

For the total number of points;

[tex] 4x + 8y = 388[/tex] ..........equation 2

Given the following data;

Total number of questions = 65

Total number of points = 333

Solving the linear equation by using the substitution method;

Making x the subject in equation 1:

[tex] x = 65 - y[/tex] .......equation 3

Substituting "x" into equation 2;

[tex] 4(65 - y) + 8y = 388[/tex]

Simplifying the equation, we have;

[tex] 260 - 4y + 8y = 388[/tex]

[tex] 260 + 4y = 388[/tex]

Rearranging the equation, we have;

[tex] 4y = 388 - 260[/tex]

[tex] 4y = 128[/tex]

[tex] y = \frac {128}{4} [/tex]

y = 32 (For the 8 points question).

Substituting "y" into equation 3;

[tex] x = 65 - 32[/tex]

x = 33 (For the 4 points question).

Therefore, the number of 4 point questions on the test are 33 questions.

Answer:

I don't really understand it very well

It will take 10 people working 10 hours per day about 2.5 days to make 10 units of the product.

From the statement of the question; 15 people working 5 hours per day can make 30 units of a product in 10 days. Hence, the number of units that can be made in a day is;

Number of units per day = (15*5*10)/30

= 25 units/day

Now; if 10 people make 10 units, working 10 hours per day, it will take them x number of days.

x =  (25*10)/10*10

x = 2.5 days

Learn more: https://brainly.com/question/22873736

Answer:

-6

Step-by-step explanation:

You want to subtract the 2x from both sides, leaving you with x+5= -1 and then you want to subtract the 5 from both sides which gets you to your final answer of x= -6

Answer:

x = -6

General Formulas and Concepts:

Pre-Alg

Algebra I

Step-by-step explanation:

Step 1: Define equation

3x + 5 = 2x - 1

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

9.385 km

Step-by-step explanation:

Given the points :

home (1 -3) school (-1, 2) library (3, 2)

Distance between Home and school :

Distance = √(x2 - x1)² + (y2 - y1)²

Home = (1, - 3) ; School = (-1, 2)

x1 = 1 ; y1 = - 3 ; x2 = - 1 ; y2 = 2

Distance = √(-1 - 1)² + (2 - (-3))²

Distance = √-2² + 5²

Distance = √4 + 25

= 5.385 km

From school to library :

School = (-1, 2) ; library (3, 2)

x1 = - 1 ; y1 = 2 ; x2 = 3 ; y2 = 2

Distance = √(x2 - x1)² + (y2 - y1)²

Distance = √(3 - (-1))² + (2 - 2)²

Distance = √4² + 0²

Distance = √16 + 0

Distance = √16

Distance = 4 km

Total distance in kilometers from home to library :

(5.385 + 4) km = 9.385km

Answer:

If they all get an equal slice, 1/4.

Step-by-step explanation:

Answer: 742.5

Step-by-step explanation: 45% off of 1350= 742.5

Answer:

$607.50

Step-by-step explanation:

if you take 1350.00and multiply by 45% you will get $607.50

Answer:

Thus the domain is the real numbers and the range is y>3.

Answer: Option C)

Step-by-step explanation:

Domain and Range of Functions

To determine the domain and range of a function given on a graph, we use the vertical and horizontal line methods respectively.

The domain consists of all the values of x for which the function exists. We are told that the function is an exponential decay. Exponential functions without specified restrictions have a domain of all the real numbers.

Imagine a vertical line moving from minus infinite x to plus infinite. The line would always cross the graph at one point, thus the domain is all the real numbers.

Now for the range, imagine a horizontal line coming from y minus infinite. It won't get in contact with the graph until it approaches y=3. Once it goes up y=3, the line touches the graph in one point up to infinity y. The range is y>3.

Thus the domain is the real numbers and the range is y>3.

Answer: Option C)

Answer:

1.2

Step-by-step explanation:

apex leaning and I don't know why they want me to write 20 characters long or something like that before posting this‍

Answer:

I'm not sure....

10-8 = 2

lowest point

10+8 = 18

highest point

so the possible values of the third side are:-

3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17

I'm not sure this is what you are looking for but this is my answer....

i hope this helps...

have a great day ahead :)

Answer:

250n + 1,000 ≥ 6,000

Step-by-step explanation:

You know that he makes 250 dollars per car her sells and he automatically makes 1000 per month. n is representing the number of cars he sold and that is multiplied by the worth of each car. If he needs a MINIMUM of 6000 dollars. he must make 6000 dollars or more which can also be shown as ≥. Hope this helped!

Answer:

common ratio(r)= 8÷(-16/5)= -20/8= -2.5 or -5/2

Gn=G1r^(n-1)

the next term will be the 4th term, means n=4

G4= (-16/5)((-5/2)^(4-1)

=(-16/5)(-125/8)

=50

Therefore the next term will be 4th term(G4)=50.

The next term of Sequence is 50.

A geometric sequence is a set of integers that follows a pattern in which the following term is determined by multiplying the previous one by a factor known as the common ratio, or r.

An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, …, where the common ratio is 2.

Given:

-16/5 ,8, -20,

First, common ratio(r) = 8÷ (-16/5)

                                    = -20/8

                                    = -2.5 or -5/2

Now,[tex]G_n=G_1r^{(n-1)[/tex] and for n=4

[tex]G_4[/tex] = (-16/5) [tex](-5/2)^{(4-1)[/tex]

=(-16/5)(-125/8)

=50

Hence, the next term is 50.

Learn more about Geometric Sequence here:

https://brainly.com/question/11266123

#SPJ2

Answer:

60

Step-by-step explanation:

había multiplicado 4 y 15 espero que esto ayude

Answer:

18,075

Step-by-step explanation:

6555+4225+7295=18,075

Answer:

the answer is the first one!

because if x=-3 we know that |x|=|-3|=3

Answer:

(3)√12

Step-by-step explanation:

The other numbers are not continuous