Angles 1 and 2 are supplementary.

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

mAngle1 + mAngle2 = 90°
mAngle1 + mAngle2 = 100°
mAngle1 + mAngle2 = 180°
mAngle1 + mAngle2 = 200°

Answer:

The Inequality Equation =

22 + 9x ≤ 58

The number of T -shirts Debbie can buy is at most 4 T-shirts

Step-by-step explanation:

Let the number of T shirts Debbie can buy be represented as x

We are told in the question: Debbie has at most $58 to spend on clothes.

This means she would not exceed $58. She would be spending less than or equal to $58

The Inequality Equation =

$22 + $9 × x ≤ $58

22 + 9x ≤ 58

Solving the Inequality Equation above:

22 + 9x ≤ 58

9x ≤ 58 - 22

9x ≤ 36

x ≤ 36/9

x ≤ 4 shirts

The number of T -shirts Debbie can buy is at most 4 T-shirts

Answer:

K is -12/5

k is also 28/5

Step-by-step explanation:

Here, we want to solve the equation

|5k-8| = 10(2)

5k-8 = 20

5k = 20 + 8

5k = 28

k = 28/5

or

5k-8 = -20

5k = -20 + 8

5k = -12

k = -12/5

Answer:

4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

∠ 2 and ∠ 3 are a linear pair and sum to 180°

∠ 2 + ∠ 3 = 180 , that is

9x + 7 + 5x + 5 = 180

14x + 12 = 180 ( subtract 12 from both sides )

14x = 168 ( divide both sides by 14 )

x = 12

Then

∠ 3 = 5x + 5 = 5(12) + 5 = 60 + 5 = 65°

∠ 3 and ∠ 1 are vertically opposite angles and are congruent , so

∠ 1 = 65°

Given that,

The cone and the sphere have the same volume.

___________________________________________

Volume of the cone

[tex] = \frac{1}{3}\pi {r}^{2} h[/tex]

[tex] = \frac{1}{3} \times \frac{22}{7} \times 2.4 \times 2.4 \times 8.3[/tex]

[tex] = 1 \times \frac{22}{7} \times 0.8 \times 2.4 \times 8.3[/tex]

[tex] = \frac{22}{7} \times 1.92 \times 8.3[/tex]

[tex] = \frac{22}{7} \times 15.93[/tex]

[tex] = 22 \times 2.27[/tex]

[tex] = 49.94[/tex]

[tex] = 50 {cm}^{3} (rounded)[/tex]

Also,

Volume of the sphere

= 50cm³

[tex] = \frac{4}{3} \pi {r}^{2} = 50[/tex]

[tex] \pi {r}^{2} = 50 \times \frac{3}{4} [/tex]

[tex]\pi {r}^{2} = 37.5[/tex]

Answer:

-3/4(16v+12)+10​

=

-9/2v+1

It would cost 2 dollars and 50 cents

Answer:No

Step-by-step explanation:

1/6 x 10= 1 4/6

The 10 comes from how many time 6 minutes can go into 60 = 1hr

Answer:

No. Jami can mow more than her advertisement states

Step-by-step explanation:

Because she can mow 1/6 of an acre in 6 minutes, and an hour is 60 minutes long, we know that she can mow up to ten times that in one hour. Think about it this way. How many times does six minutes go into 60? 10. So Jami can mow 1/6 of an acre up to 10 times in one hour. This means that in an hour Jami can mow 10/6, or 1 and 2/3 of an acre in an hour. Thus, her advertisement is understating how quickly she can mow.

The length of the hypotenuse is 13.

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

According to the question ,

Given that ,  legs is 5 inches and 12 inches

how to find hypotenuse :    

we know ,  c^{2} = a^{2} + b^{2}    

⇒ c^{2}= 5^{2} + 12^{2}    

⇒ c^{2} = 25 + 144    

⇒ c = \sqrt{169}    

⇒ c = 13

The length of the hypotenuse is 13.

Correct option is (b) 13 inches .

learn more about hypotenuse here : brainly.com/question/3770177

SPJ4

Answer:

-4

Step-by-step explanation:

sorry if this is wrong I forgot how to do it. :)

(I think)

Answer:

you would need to use 2 differant types of tools the first one to measure the air pressure whitch would be a barometer and the second tool would be a thermometer.

Answer:

The number is 3

Step-by-step explanation:

Ok, first thing's first: we need to make the words into an actual equation.

since it just says a number I'll use x

3 times x + 4 = 13

3x +4 =13

Now that we have our equation, we can solve for x

3x + 4 = 13

     -4      -4

3x = 9

I subtracted 4 on both sides to get rid of the 4 and move it to the other side of the equation, so we can try to get x by itself.

3x =9

/3     /3

x = 3

I divided both sides by 3 to get rid of the 3 that's being multiplied by x

Now we have our number : x = 3

I hope this helps :)

Answer:

all are irrational except for -3

Lets denote the numbers x and y:

The sum of two numbers 94 → x + y = 94

Their difference is 12 → x - y = 12

We have:

x + y = 94

x - y = 12

----------------  Add both equations

2x = 106

x = 106/2

x = 53

Using first equation:

x + y = 94

53 + y = 94

y = 94 - 53

y = 41

A/ The numbers are 53 and 41.

Answer:

yes the cost is proportional to the number of tickets

Step-by-step explanation:

for each 1 ticket added, it is $12 more

you can graph it by using the equation y=12x where x is the amount of tickets and the y-intercept is (0,0)

Answer:

a) -9, -10, -11

b)24, 36, 54

c)-10, 20, -40

Step-by-step explanation:

-8 - 1 = -9

-9 - 1 = -10

-10 - 1 = -11

a2 = 16 * 3/2 = 24

a3 = 24 * 3/2 = 36

a4 = 36 * 3/2 = 54

f(2) = 5 * -2 = -10

f(3) = -10 * -2 = 20

f(4) = 20 * -2 = -40

The next three terms of each geometric sequence  are;

a) -9, -10, -11

b)24, 36, 54

c)-10, 20, -40

There are three parameters which differentiate between which geometric sequence we're talking about.

The first parameter is the initial value of the sequence.

The second parameter is the quantity by which we multiply previous term to get the next term.

a) The common difference is;

-8 - 1 = -9

b) The common difference is;

-9 - 1 = -10

c) The common difference is;

-10 - 1 = -11

a2 = 16 * 3/2 = 24

a3 = 24 * 3/2 = 36

a4 = 36 * 3/2 = 54

Therefore, the next terms are;

f(2) = 5 * -2 = -10

f(3) = -10 * -2 = 20

f(4) = 20 * -2 = -40

Learn more about geometric sequence here:

https://brainly.com/question/2735005

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Answer:

B) 5

Step-by-step explanation:

Divide the volume by the formula and you get that 1000=r^3. r is 10, but every second it gains 2 cm, so divide 10 by 2 to get 5

Answer:

6,053.29

Step-by-step explanation:

Use this formula:

A= p(1+r/n)^nt

A= Amount (?)

P= Principal (4600)

r - interest rate (4%)

n= number of times the interest is compounded per year (1)

t= time (7 years)

Answer:

£6053.29 to the nearest penny.

Step-by-step explanation:

Amount after 7 years = 4600(1 + 0.04)^7

= 4600 * 1.04^7

= £6053.286.

Answer:

C

Step-by-step explanation:

The weight of the weight lighting bar = the initial value/y-intercept (b) = 45

Amount of weight = x

Total amount of weight = y

The rate of change (m) = 1

Thus to write the function that models this situation, substitute m = 1, and b = 45 into y = mx + b

Thus:

y = (1)x + 45

y = x + 45

The correct option is c

Answer:

I asked my friend and she said c, but she has terrible grades

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

2/4x2/4=0.25  or 1/4

Step-by-step explanation:

Answer:

n=-4

Step-by-step explanation:

2 (9n-1)+7(n+6)= -60

18n-2 +7n + 42 = -60

25n + 40 = -60

25n = -100

n = -4

Answer:

n = - 4

Step-by-step explanation:

2 ( 9n - 1 ) + 7 ( n + 6 ) = - 60

Solve the brackets.

18n - 2 + 7n + 42 = - 60

Combine like terms.

25n + 40 = - 60

Subtract 40 from both sides.

25n = - 60 - 40

25n = - 100

Subtract 25 from both sides.

n = -4

Answer:

$99.91

Step-by-step explanation:

If the markup is 60.5%, then the selling price would be 160.5% of the original price.

160.5%=1.605

$62.25*1.605=$99.91125

Since you can't have 0.00125 dollars, lets round to the nearest hundredth.

The selling price is $99.91

0.25x+1y=12 is the answer, because you are multiplying 0.25 and 1 to see how many games/rides there were.

Answer:

The first one

Step-by-step explanation:

9514 1404 393

Answer:

  acute scalene triangle

Step-by-step explanation:

The largest angle is acute, and all sides are different lengths. The triangle is an acute scalene triangle.

____

The magnitudes of the coordinate differences are ...

  WX = (7, 5), XY = (2, 7), WY = (9, 2)

The two sides that are closest in length are ...

  WX = √(49+25) = √74

  WY = √(81 +4) = √85

Obviously, these are different lengths.

You can get a clue by comparing the numbers whose squares you are adding:

  7^2 +5^2 > 7^2 +2^2 . . . . . WX > XY

  9^2 +2^2 > 7^2 +2^2 . . . . WY > XY

so, the only question is relation between WX and WY. We note that the length of WX is less than one of the coordinate differences of WY, so we know WY is the longest. (√74 < 9)

We can tell from the graph that angle X (opposite longest side WY) is an acute angle, so the triangle is acute.

Step-by-step explanation:

The two triangles are symmetrically the same the only difference is they are opposite Intersecting at C.

Angle DCE and BCA intersect from the triangles which both form a similar angle let's assume are 60 degrees.

Therefore, Angle ACE and BCD are 120 degrees.

Therefore all sides from both triangles correspond to be both equal, for example, BA = ED, AC = DC, BC = EC

C is the midpoint of AD and BE therefore AC = CD and BC = CE.

The angles too are equally corresponding such as,

Angle ABC = DEC , CAB = CDE and BCA = ECD

Answer:$25

Step-by-step explanation:

20% of 125 is $25 dollars so his commission would be $25

Answer:

25 dollars

Step-by-step explanation:

125/100=1.25

multiply by 20

1.25*20=

25 dollars

He does not get the money for the item because the person is a salesman

Brainliest Please

Answer:

54 students

Step-by-step explanation:

90× 60% = 54