Two angles are complementary. The smaller angle is less than the larger angle. What is the measure of the larger angle

Answer: x= 15

Step-by-step explanation: So to prove these two lines A and B are congruent the angles must line up which mean rules of complimentary, Supplementary and alternating angles apply. For angles 2 and 4 due to our alternating angles rule they add up to equal 180 so in math

2x+10+4x+80 = 180  or  6x+90=180  where x = 15

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

To find x, we first have to solve the equation given in the question:

[tex]\frac{20}{12} = \frac{15}{x}[/tex]

[tex]20x = 15 \cdot 12[/tex]

[tex]x = \frac{180}{20}[/tex]

[tex]x = 9[/tex]

Therefore, x = 9.

Hope this helped!

Answer:

x=9

Step-by-step explanation:

We have: [tex]\frac{20}{12}[/tex]=[tex]\frac{15}{x}[/tex]

First, we can simplify 20/12 by 4

[tex]\frac{5}{3}[/tex]=[tex]\frac{15}{x}[/tex]

this is a proportion, so we can cross multiply (multiply 5 by x and 3 by 15)

5x=45

divide by 5

x=9

Hope this helps!

Answer: it 5 cuh

Step-by-step explanation:

Answer:

The value of x is 3

Step-by-step explanation:

If they area similar, then the ratio of the sides are equal

Mathematically;

x+ 1/3x + 1 = 8/20

20(x + 1) = 8(3x + 1)

20x + 20 = 24x + 8

24x-20x = 20-8

4x = 12

x = 12/4

x = 3

Answer:

True, True, False.

Step-by-step explanation:

A) Rise/Run is 8/1

B) 8 dollars are earned every hour

C) Correct equation is y=8x

Answer:

8.97

Step-by-step explanation:

Answer:

96 ways

Step-by-step explanation:

Given

[tex]Day = 86400\ seconds[/tex]

Required

Ways to divide it into period of seconds

What this question implies is to determine the total number of factors of 86400

To start with, we determine the prime factorization of 86400

To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...

[tex]86400/2 = 43200[/tex]

[tex]43200/2=21600[/tex]

[tex]21600/2=10800[/tex]

[tex]10800/2=5400[/tex]

[tex]5400/2= 2700[/tex]

[tex]2700/2 = 1350[/tex]

[tex]1350/2=675[/tex]

[tex]675/3=225[/tex]

[tex]225/3=75[/tex]

[tex]75/3=25[/tex]

[tex]25/5=5[/tex]

[tex]5/5 = 1[/tex]

This implies that:

[tex]86400 = 2^7 * 3^3 * 5^2[/tex]

The number of factors d is the solved by:

[tex]d = (a+1)*(b+1) *(c+1)[/tex]

Where

[tex]n = 2^a * 3^b * 5^c[/tex]

By comparison:

[tex]a = 7[/tex]

[tex]b = 3[/tex]

[tex]c=2[/tex]

So:

[tex]d = (7+1)*(3+1) *(2+1)[/tex]

[tex]d = 8*4 *3[/tex]

[tex]d = 96[/tex]

Hence, there are 96 total ways

Answer:

The probability that the value of the second die is higher than the first

[tex]P(E) = \frac{15}{36} = \frac{5}{12}[/tex]

Step-by-step explanation:

Explanation:-

In a single throw with two dice total number of sums = 6 X 6 = 36

Let 'E' be the event of the second die is higher than the first

Total number of cases

= {( 1,1), (1,2 )( 1,3), (1,4) , (1,5) ,(1,6)

  ( 2,1), (2,2 )( 2,3), (2,4) , (2,5),(2,6)

   ( 3,1), (3,2 )( 3,3), (3,4) , (3,5),(3,6)

( 4,1), (4,2 )( 4,3), (4,4) , (4,5),(4,6)

( 5,1), (5,2 )( 5,3), (5,4) , (5,5),(5,6)

( 6,1), (6,2 )( 6,3), (6,4) , (6,5),(6,6)}

The favourable cases

      n(E) = {(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)} = 15

The probability that the value of the second die is higher than the first

[tex]P(E) = \frac{15}{36} = \frac{5}{12}[/tex]

Answer:

z = 33

Step-by-step explanation:

[tex]1 \frac{4}{11} \times z = 45 \\ \\ \frac{1 \times 11 + 4}{11} \times z = 45 \\ \\\frac{11 + 4}{11} \times z = 45 \\ \\\frac{15}{11} \times z = 45\\ \\z = \cancel{ 45} \: \: \red{ \bold{3}} \times \frac{11}{ \cancel{15}} \\ \\ z = 3 \times 11 \\ \\ z = 33[/tex]

Answer: are there choices?

Step-by-step explanation:

Step-by-step explanation:

Triangle XYZ is isosceles.

Since Angle Y = 90°, Angle Z = (180° - 90°)/2 = 45°.

Answer:

2.47 feet

Step-by-step explanation:

Let l, b, and h be the length, width, and height of the box.

As the length is twice the width, so l=2b ...(i)

The volume of the box is 20 cubic feet, so

lbh=20

(2b)bh=20  [by using (i)]

[tex]h=\frac {20}{2b^2} \\\\h= \frac {10}{b^2} ...(ii)[/tex]

The material required= surface area, S, of the open box

S= lb+2bh+2lh

By using equation (i) and (ii), we have

[tex]S= 2b(b)+2b\times \frac {10}{b^2} +2(2b)\times \frac {10}{b^2}[/tex]

[tex]S= 2b^2+ \frac {20}{b} + \frac {40}{b} \\\\S= 2b^2+ \frac {60}{b} \cdots(i)[/tex]

Now, we have the surface area, S, as the function of width, b.

Differentiate S with respect to b then equate it to zero to get the extremum values, as

[tex]\frac {dS}{db}=0 \\\\\frac {d}{db}(2b^2 +60/b)=0 \\\\4b-\frac{-60}{b^2}=0 \\\\4b=\frac{60}{b^2} \\\\b^3=\frac{60}{4} \\\\b=(15)^{1/3}[/tex]

b=2.47 feet.

Now, by second differentiation, checking the nature of extremum value.

[tex]\frac {d^2S}{db^2}=4+\frac {120}{b^3}[/tex]

For [tex]b>0, \frac {d^2S}{db^2} >0[/tex]

So, the width of the box,  b=2.47,  is the minima for the area, S(b).

Hence, the width of the box that can be produced using the minimum amount of material is 2.47 feet.

Answer:

[tex]:\implies\tt \dfrac{n + 1}{2} = -\dfrac{3}{4} \\ \\ \\ [/tex]

⚽ Cross multiplying both the sides we get :

[tex]:\implies\tt (n + 1) \times 4= -3 \times 2 \\ \\ \\ [/tex]

[tex]:\implies\tt 4n + 4= -6 \\ \\ \\ [/tex]

[tex]:\implies\tt 4n = -6 - 4 \\ \\ \\ [/tex]

[tex]:\implies\tt 4n = -10 \\ \\ \\ [/tex]

[tex]:\implies\tt n = \dfrac{-10}{4}\\ \\ \\ [/tex]

[tex]:\implies\tt n = \dfrac{-5}{2}\\ \\ \\ [/tex]

[tex]:\implies \ddag \: \gray{ \underline{ \boxed{\tt n = - 2.5}}} \: \ddag\\ \\ \\ [/tex]

Answer:

Please check the explanation and attached graph.

Step-by-step explanation:

Given the parent function

y = |x|

In order to translate the absolute function y = |x| vertically, we can use the function

g(x) = f(x) + h

when h > 0, the graph of g(x) translated h units up.

Given that the image function

y=|x|+4

It is clear that h = 4. Since 4 > 0, thus the graph y=|x|+4 translated '4' units up.

The graph of both parent and translated function is attache below.

In the graph,

The blue line represents the parent function y=|x|.

The red line represents the image function y=|x| + 4.

It is clear from the graph that the y=|x| + 4  translated '4' units up.

Please check the attached graph.

Answer:

Electrons

Step-by-step explanation:

Protons have a positive charge. Electrons have a negative charge. Neutrons have no charge. When there is an equal number of protons and electrons in an atom, the charges cancel out and the atom is neutral.

Answer:

It will occur zero times between midnight and one o'clock.

Step-by-step explanation:

Least Common Multiple (LCM)

Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.

All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.

List the prime factors of each number:

20: 2,2,5

15: 3,5

27: 3,3,3

Now multiply all the factors the maximum number of times they appear:

LCM=2*2*3*3*3*5=540

(a) All the events will happen together again after 540 minutes.

(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.

Answer:

Here is how i figured it out

Step-by-step explanation:

Brainliest pls ?

Answer:5x-17

Step-by-step explanation:

4x - 7 + x -10 = 0

4x + x - 7 - 10 = 0

5x - 17 = 0

5x = 17

x = 17/5

Answer:

$10.11

Step-by-step explanation:

Answer:

10.11

Step-by-step explanation:

7% of 9.45 is 0.66, and 9.45 + 0.66 = 10.11, so the answer is 10.11

Answer:

I think it like this .........

Answer:

(3, 6 )

Step-by-step explanation:

Given the 2 equations

y = 5x - 9 → (1)

y = x + 3 → (2)

Substitute y = 5x - 9 into (2)

5x - 9 = x + 3 ( subtract x from both sides )

4x - 9 = 3 ( add 9 to both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (2)

y = 3 + 3 = 6

solution is (3, 6 )

Answer:

A

Step-by-step explanation:

For this specific question its B but If you get another order of answers its is the on that goes down to -4 then gets 8 units higher leaving it at 4.

Answer: 56.44 km/h

Step-by-step explanation:

Speed = Distance / Time

Time = 1950 - 1520 = 4 hours 30 minutes = 4.5 hours

Speed = 254/4.5

= 56.44 km/h

Answer:

15 metters

Step-by-step explanation:

hope this helps you.

Answer:

110

Step-by-step explanation:

lets assume y is the angle next to x which should complete to form a 360.

50 + 25 + 35 + y = 360

y = 250

x + y = 360

x + 250 = 360

x = 110

Answer:

110

Step-by-step explanation:

lets assume y is the angle next to x which should complete to from a 360.

50 + 25 + 35 + y = 360

y = 250

x + y = 360

x + 250 = 360

x = 110

Set the two expressions equal to one another and solve for x

22x = 12x+9

22x-12x = 9

10x = 9

x = 9/10

x = 0.9

Assuming x is the number of items sold, then it is not possible to have the same amount earned for the two days. This is because we cannot sell 0.9 of an item. So it appears it is not possible to earn the same amount each day.

Answer:

2 bunches of roses and 3 bunches of lilies.

4 bunches of roses and 6 bunches of lilies.

Step-by-step explanation:

Given that:

Roses come in a bunch of 12 flowers and

Lilies come in a bunch of 8 flowers

Number of roses ordered is equal to the number of lilies ordered.

Total number of flowers ordered are lesser than 100.

To find:

The possible number of combinations such that equal number of flowers are bought.

Solution:

Here, we need to find the Least Common Multiple.

[tex]12 = \underline{2 \times 2} \times 3[/tex]

[tex]8 = \underline{2 \times 2} \times 2[/tex]

LCM = [tex]2\times 2 \times 3 \times 2 = 24[/tex]

Therefore, we need to find the number of bunches such that number of flowers of each type bought are equal to LCM or multiples of LCM.

i.e.

24, 48, 72, 96 ....

Here, two types of flowers are there.

Therefore, 24 of each type, total 48 flowers i.e. 2 bunches of roses and 3 bunches of lilies.

48 of each type, total 96 flowers i.e. 4 bunches of roses and 6 bunches of lilies.

Total possible combinations:

2 bunches of roses and 3 bunches of lilies.

4 bunches of roses and 6 bunches of lilies.

Answer:

5,191.48936

Step-by-step explanation:

Given:

976 / 0.188

Find:

Value

Computation:

⇒ 976 / 0.188

⇒ 976000 / 188

5,191.48936

Answer:

I would say for almonds next to the number 2 put $21.98 and for dried apricots next to $26.25 put 3 pounds and then see which one is more expensive.

Step-by-step explanation:

Apricots is less expensive than Almonds.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

2 pounds almonds cost = 21.98

So, cost of 1 pounds cost = 21.98/2= 10.99

and, 3 pounds apricots cost= 26.25

So, cost of 1 pounds cost = 26.25/3  = 8.75

Hence, Apricots is less expensive than Almonds.

The complete Table is

Almonds                                                         Dried Apricots

Cost             Weight                                     Cost             Weight

21.98              2                                               26.25            3

10.99               1                                               8.75                1

Learn more about unitary method here:

https://brainly.com/question/22056199

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Answer:

3cm²

Step-by-step explanation:

1/2 x 2 x 3 = 3