Mathematics College


<1 and <2 are complementary. Solve for the measure of <1.

<1 = 12x + 4
<2 = 9x + 2

A. 52
B. 4
C. 38
D. 8.3

&lt;1 And &lt;2 Are Complementary. Solve For The Measure Of &lt;1. &lt;1 = 12x + 4 &lt;2 = 9x + 2A. 52B.

Answers

Answer 1

Answer:

A) 52

Step-by-step explanation:

If < 1 and < 2 are complementary angles, then it means that the sum of their measures add up to 90°.

< 1 + < 2 = 90°

12x + 4 + 9x + 2 = 90°

21x + 6 = 90°

21x + 6 - 6 = 90° - 6

21x = 84°

21x/21 = 84°/21

x = 4

Substitute the value of x = 4 into < 1 and < 2:

m < 1: 12x + 4 = 12(4) + 4 = 52°

m < 2: 9x + 2 = 9(4) + 2 = 38°

Therefore, the correct answer is A) m < 1 = 52°.

Related Questions

What are the measurements of angles x,y,z & w?


Thank you<3

Answers

Step-by-step explanation:

z°=180°-25°

z°= 155°

z°=x°=155° (vertically opposite angle).

w°=25°(alternate angle).

y°=z°=155°(alternate angle).

hope this helps you.

Answer:

See below

Step-by-step explanation:

As AB and CD are parallel lines cut by a transversal, we have:

∠x and ∠z are congruent as vertical angles∠x and y are congruent as corresponding angles∠w is congruent with 25° as alternate interior angles

So the measures are:

m∠x = m∠y = m∠y = 180° - 25° = 155° (supplementary angles sum to 180°)m∠w = 25°

Find the least common denominator of the two fractions 3/4 over 1/6?

Answers

Answer:

(2/12 & 9/12)

Step-by-step explanation:

12 is the least common denominator for the fractions, so they must be rewritten to have the same denominator, but hold the same value.

( not written by me )

7 and a number equals 21​

Answers

Answer:

7x3=21

Step-by-step explanation:

7+7+7=21, 7x3=21

i need help with this question

Answers

Answer:

below

Step-by-step explanation:

I'm not absolutely know what are you asking for the answer, but this graph shows ...

The first 20 minutes he has a constant speed of 1.8/20=0.09 km/min progress to 1.8 km away from home, then has 10 minutes (from 20-30) stop at the spot.

Then he drive home with speed of 0.045 km/min (1.8/40=0.045) for 40 minutes to return to the start point.

write the simplest polynomial function with the given zeros 2 √2, √5 and -3

Answers

Answer:

A. P(x) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120

Step-by-step explanation:

With the given zero's, the polynomial is:

P(x) = (x - 2√2)(x - √5)(x + 3)

Open parenthesis in steps:

1. (x - 2√2)(x - √5) = x² - (2√2 + √5)x + 2√10 = x² - 2x√2 - x√5 + 2√10

2. (x² - 2x√2 - x√5 + 2√10)(x + 3) =

x³ - 2√2x² - √5x² + 2√10x + 3x² - 6√2x - 3√5x + 6√10 =

x³ + 3x² - 2x²√2 - x²√5 - 6x√2 - 3x√5 + 2x√10 + 6√10

This is not matching any options so we add two more zero's: -2√2 and -√5

New polynomial looks like:

P(x) = (x - 2√2) (x + 2√2)( x - √5)(x - √5)(x + 3)

Open parenthesis in steps:

1. (x - 2√2) (x + 2√2) = x² - 82. (x - √5) (x + √5) = x² - 53. (x² - 8)(x² - 5) = x⁴ - 8x² - 5x² + 40 = x⁴ - 13x² + 404. (x⁴ - 13x² + 40)(x + 3) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120P(x) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120

g An employee joined a company in 2017 with a starting salary of $50,000. Every year, the employee receives a raise of $1,000 plus 5% of the salary of the previous year. (a). Set up a recurrence relation for the salary of the emplyee n years after 2017. A recurrence relation of a sequence is an equation that express a subscript n using one or more of previous terms. (b). What will be the salary of the employee in 2025

Answers

Answer:

a) s[n] = 1.05s[n-1] +1000; s[0] = 50,000

 b) $83,421.88

 c) s[n] = 70000·1.05^n -20000

Step-by-step explanation:

a) Let s[n] represents the employee's salary in dollars n years after 2017. The salary in 2017 is given as $50,000, so ...

 s[0] = 50000 . . . . the recursion relation initial condition

The next year, the salary is multiplied by 1.05 and 1000 is added:

 s[1] = 1.05·s[0] +1000

This pattern repeats, so the recursion relation is ...

 s[n] = 1.05·s[n-1] +1000

__

c) It is convenient to find a formula for the salary before trying to compute the salary 8 years on. So, we work part (c) before part (b).

The base salary gets multiplied by 1.05 each year, so can be described by the exponential function ...

 base salary after n years = 50,000·1.05^n

The add-on to the raise becomes a geometric sequence whose common ratio is 1.05. The sum can be described by the formula for the sum of such a sequence:

 sum = a1(r^n -1)/(r -1) . . . . . (see note below)

 sum of add-ons = 1000(1.05^n -1)/(1.05 -1) = 20000(1.05^n -1)

So, the total salary after n years is ...

 s[n] = 50000·1.05^n + 20000(1.05^n -1)

The exponential terms can be combined, so we have the explicit formula ...

 s[n] = 70000·1.05^n -20000

__

b) The year 2025 is 8 years after 2017, so we want to find s[8].

 s[8] = 70000·1.05^8 -20000 = 70000·1.4774554 -20000

    = 103,421.88 -20000 = 83,421.88

In 2025, the employee's salary will be $83,421.88.

_____

Note on the sum of the add-ons

A geometric sequence starts with term a1 and gets multiplied by a ratio r to make the next term: a2=r·a1; a3=r²·a1, ....

The sum of such a geometric sequence has the formula

 Sn = a1·(r^n -1)/(r -1)

Here, the sequence starts in year 1 with a1=1000 and has a common ratio r=1.05. The denominator of the sum is r-1 = 0.05 = 1/20, so the sum can be written as

 Sn = 20000·(1.05^n -1).

Suzy can type 85 words in 2 minutes. How many minutes will it take her to type her to type 500 word paper?​

Answers

Answer:

11,765

Step-by-step explanation: 1 word make up 0,024 minute so 500 words 500.0,024 = 11,765 minutes

Milena is trying to determine an algebraic expression to represent the amount of punch she needs to make for her party. She does not know the exact number of guests, but she wants to have 3 cups of punch per guest, plus an additional 20 cups of punch.

Which expression represents the amount of punch Milena will need for her party?
g + 20
3g
3g + 20
3(20)

Answers

Answer:

let g = number of guests. if each guest is to have 3 cups we represent this as

3g

for the additional 20 cups, we add 20

3g + 20

Answer: 3g + 20

Step-by-step explanation:

hope this helps

The graph shows the distribution of the amount of chicken (in ounces) that adults eat in one sitting.

A graph titled Chicken Consumption has amount (ounces) on the x-axis, going from 3.2 to 12.8 in increments of 1.2. The highest point of the curve is at 8.

Which statement describes the distribution?

The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of –1.2 ounces.
The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
The distribution is approximately Normal, with a mean of 1.2 ounces and a standard deviation of 8 ounces.
The distribution is uniform, with a mean of 8 ounces and a standard deviation of 1.2 ounces.

Answers

Using concepts of the normal and of the uniform distribution, it is found that the correct option is:

The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.

In an uniform distribution, all outcomes are equally as likely, thus they have the same height.In the normal distribution, the outcomes with the highest likelihood are those closest to the mean, thus they have the highest height. This means that the mean of this distribution is 8.The standard deviation cannot be a negative value, so in this problem, it is 1.2, which means that the correct option is:

The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.

A similar problem is given at https://brainly.com/question/25128186

50,000 is 20% of what?

Answers

Answer:

250000

Step-by-step explanation:

20% of x is 50000

----------------------------

50000=20x/100

50000= x/5

5(50000) = x

250000 = x

what is the greatest common factor of 42, 12, and 6?​

Answers

Answer:

The greatest common factor is surprisingly 6.

All three numbers can be divided by 6 and it is the highest value that can be taken from all three numbers.

Step-by-step explanation:

Hope this helps.

<3

Answer:

the GCF of those numbers is 6.

Step-by-step explanation:

One way to solve this is to list the factors of them, then find the greatest one that they share.

42: 1, 2, 3, 6, 7, 14, 21, 42

12: 1, 2, 3, 4, 6, 12

6: 1, 2, 3, 6

If we look at them, notice that six is in all of them. All of them have factors of six. Can we go any higher than that? No because six is the greatest factor of six, so we can't go any higher and still have all of them share a GCF. So your answer is 6.

Jake needs to buy 120beverages for a party. What equation, in standard form, determines the number x of 8-packs of juice and the number y of 12-packs of water Jake can buy?

Answers

8x+12y=120

8 packs -> x value

12 packs -> y value

-------------------------------

total amt. of beverages is 120

The graph shows a proportional relationship between the number of cans of tennis balls and the total number of tennis balls.
What does the point (2, 6) represent in this situation?

Tennis Balls graph showing number of tennis balls on the y axis and number of cans on the x axis. A line begins at the origin and passes through the points 1 comma 3 and 2 comma 6.

Answers

Answer:

There are 6 tennis balls in 2 cans.

Answer: c and e

Step-by-step explanation:

because im smart like that

Help me, it's urgent​

Answers

Answer:

a) 2.4 b) 2, -3

Step-by-step explanation:

sorry I only know a and b since yea

The formula E =1/2 kx^2gives the potential energy E of a spring with spring constant k that has
been stretched by length x. Solve the formula fork to find the constant of a spring with a iven
potential energy and stretch.

Answers

Answer:

[tex]k = 2E/x^2[/tex]

Step-by-step explanation:

Given formula:

[tex]E = 1/2kx^2[/tex]

To solve for k, multiply both sides by 2 and divide by x²:

[tex]2E=kx^2[/tex][tex]k = 2E/x^2[/tex]

Answer:

[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]

Step-by-step explanation:

The formula given is :

[tex]\sf\longmapsto \: E = \frac{1}{2} kx²[/tex]

Now, multiply (×) both sides by 2 and divide (÷) by x^2

[tex]\sf\longmapsto \: 2E = kx²[/tex]

[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]

Find the value of 15625 × (-2) + (-15625) × 98

Answers

Answer:

-1562500

Step-by-step explanation:

15625 × (-2) + (-15625) × 98 = -31250 + (-1531250)

                                              = -31250 - 1531250

                                              = -1562500

Answer:

[tex]-1562500[/tex]

Step-by-step explanation:

[tex]5625\left(-2\right)+\left(-15625\right)\times \:98[/tex]

[tex]15625\left(-2\right)[/tex]

[tex]=-31250[/tex]

[tex]15625\times \:98[/tex]

[tex]=1531250[/tex]

[tex]-31250-1531250[/tex]

[tex]-1562500[/tex]

Divide:
27.68) 2363.872

Answers

Answer:

85.4

Step-by-step explanation:

solve pls brainliest

tell me where the dot go!

Answers

Answer:

The first dot is on -9 and the second dot is on -7.

(a) -9 is to the left of -7.

(b) -9<-7

Step-by-step explanation:

Find all triples of natural numbers (a, b, c) satisfying the system of equations​

Answers

9514 1404 393

Answer:

(±7, ±1, ±4)(±13, ±11, ±16)

Step-by-step explanation:

Solution of the system by the usual means yields the parametric equations ...

  (a², b², c²) = (41 +t, t -7, 2t)

Since we want t-7 to be a perfect square, we can let ...

  t -7 = n²

  t = n² +7

Then the solutions are ...

  (a, b, c) = (±√(n²+48), n, ±√(2(n² +7)))

The only integer solutions are for n=±1 and n=±11. Then the 16 possible triples are ...

  (±7, ±1, ±4) and (±13, ±11, ±16) . . . where the signs can have any combination

Austin and his wife go out to dinner. Their bill is $59.36. They want to leave a 19%
tip, and there is a sales tax of 5.5%. What is the final amount they will pay?
$62.62
$73.90
$74.49
$70.64

Answers

Answer:

The final amount they will pay is $74.49

Step-by-step explanation:

59.36(Check)*0.19(19% tip rate)=11.27

59.36+11.27=70.62 Check+Tip

70.62(Check total)*0.055(5.5% tax)=3.87

70.62+3.87=74.49 Total check, tip & tax

PLEASE HLEP ME IM CRYING J WIL GIVE BRAIBLIST

Answers

Answer:

Step-by-step explanation:

The two angles can be 48.75 which if you add all those together would be 180 degrees

Sorry if it might be wrong but if its right can you mark me branliest

Answer:

39° and 58.5°

Step-by-step explanation:

The tree indicated angles form a straight angle:

2x + 3x + 82.5 = 1805x = 180 - 82.55x = 97.5x = 97.5/5x = 19.5

The angle 2x:

2*19.5 = 39°

The angle 3x:

3*19.5 = 58.5°

what is 3/5 x 7/9 equivalent to 3/5 divided by 7/9

Answers

Step-by-step explanation:

It's 27/35, so 27/1 * 1/35

Answer:

0.31  (correct me if I'm wrong)

Step-by-step explanation:

3/5*7/9=0.463/5 divided by 7/9=0.770.77-0.46=0.31

whats nine plus 10 ;)

Answers

Answer:

19

Step-by-step explanation:

9+10=19

please mark me brainliest

Answer:

21 ^^

jk jk lol 19 >->

but reality... i believe it's 2356486513

Write three expressions that are equivalent to 8x + 16.

Answers

Answer:

1. 2(4x + 8)

2. 8(x +2)

3. 4(2x +4)

Step-by-step explanation:

You can check by using the distributive property!

For instance:

2 (4x +8)

 2 · 4x = 8x

 2 · 8 = 16

= 8x + 16

8(x +2)

 8 · x = 8x

 8 · 2 =16

= 8x + 16

4(2x +4)

  4 · 2x = 8x

   4 · 4 =16

= 8x + 16

Hope this is helpful! Let me know if you have any more questions :D

8×5 implies that 40 is a multiple of......................... And........................ ​

Answers

8 & 5

5.10.15.20.35.40

8.16.24.32.40

The table represents the ratio of tulips todaffodils in a garden how many tulips will there be if the garden has 60 daffodils

Answers

There would be 85 Tulips in the garden if the garden has 60 daffodils

Two variables are said to be proportional if an increase in one variable leads to an increase in another variable and vice versa.

From the table, 12 daffodils corresponds with 17 Tulips.

Hence the ratio of tulips to daffodils = 17 tulips / 12 daffodils

Therefore for 60 daffodils:

Number of Tulips = (17 tulips / 12 daffodils) * 60 daffodils

Number of Tulips = 85 Tulips

There would be 85 Tulips in the garden if the garden has 60 daffodils

Find out more at: https://brainly.com/question/17741678

(-8r^2s^-8)(-3r^-7s^8)

Answers

24r^−5s^0 would be your answer

square root of 31 is between which two integers?

Answers

Answer:

5 and 6

Step-by-step explanation:

5 and 6 I just took the test!

What is the domain of the function?
Negative infinity less-than x less-than infinity
Negative 1 less-than x less-than infinity
0 less-than-or-equal-to x less-than infinity
1 less-than-or-equal-to x less-than infinity

Answers

Answer:

(-∞,∞)

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

[tex] \sqrt[3]{x} [/tex]

has the domain all of the real numbers

Is this sequence arithmetic? (Hint: determine if there is a common difference)


7, 18, 29, 40


A) yes

B) no

Answers

Yes because you add 11 each time
18-7=11
29-18=11 ……
Please mark brainelist
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