Identify which of the following pairs of angles are complementary and which are
supplementary.

(i) 65º, 115º (ii) 63º, 27º (iii) 112º, 68º
(iv) 130º, 50º (v) 45º, 45º (vi) 80º, 10º

Answer:

16 years

Step-by-step explanation:

Given data

For the first tree

let the expression for the height be

y=4+x--------------1

where y= the total height

          4= the initial height

          x= the number of years

For the second tree, the expression is

y=12+0.5x-------------2

Equate 1 and 2

4+x=12+0.5x

x-0.5x=12-4

0.5x= 8

x= 8/0.5

x=16

Hence it will take 16 years for both trees to have the same height

Answer:

x=9 is not the solution to the inequality.

Step-by-step explanation:

10 is not greater than 10

Answer:

13x

Step-by-step explanation:

6x + 7x = 13x

hope this helps

Answer:

(6 + 7) x can be written as

6x + 7x

Answer:  Out of £750 and 3 bums

Caroline = 225

Bridget = 225 * 3 = 675

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

We have equations:

Substitute s with b and b with c as above into first equation:

Find b:

Bridget gets £228

Answer:

B: 80

Step-by-step explanation:

Answer: $20,000

Step-by-step explanation:

Given

Interest decreases from 3.75% to 3.5% in a year

This change in the rate of interest brings a yield of 50$

Earlier interest was

[tex]S.I_e=\dfrac{P\times 3.75\times 1}{100}[/tex]

Now, interest is

[tex]S.I._n=\dfrac{P\times 3.5\times 1}{100}[/tex]

change gives 50$ i.e.

[tex]\Rightarrow \dfrac{P\times 3.75\times 1}{100}-\dfrac{P\times 3.5\times 1}{100}=50\\\\\Rightarrow \dfrac{P\times (3.75-3.5)\times 1}{100}=50\\\\\Rightarrow P=\dfrac{50\times 100}{0.25}=\$20,000[/tex]

Answer:

y = 3

Step-by-step explanation:

Answer:

y= 3

Step-by-step explanation:

Step-by-step explanation:

4x -20 + 3x +12 = 90

7x -8 = 90

7x = 98

x = 14

Angle F: 4(14) -20 = 36

Angle E: 3(14)+12= 54

Angle G : 90

Answer:

+4

Step-by-step explanation:

-5 - (-9)

-5 + 9

4

Answer:

4

Hope this helped and if I'm wrong sorry

Answer:

6,4

Step-by-step explanation:

Answer:

y= -3x+ 18

Step-by-step explanation:

hope it helps :)))))

Answer

11.5 ft

Step-by-step explanation:

Perimeter of rectangle:2(l+w)

l :1/4 ft w:11/2 ft

2(1/4+11/2)=11.5

Step-by-step explanation:

11/8 is the answer.

( I am not sure about my answer so I am extremely sorry:/ )

Answer: The probability that at least one of the envelopes is red is 1/9 (simplified) or 9/81.

Step-by-step explanation:

There are a total of 9 envelopes. If two are selected at random with replacement the probability for both envelopes is 3 / 9 or 1/3. Since there are two you would do 1/3 * 1/3 to get 1/9 or 3/9 * 3/9 to get 9/81.

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 240 mangoes

Explanation:

1/5 + 0.75 = .95 = 95%

5% = 12

50% = 120

100% = 240

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

240

Step-by-step explanation:

1/5

0.75 = 3/4

1/5 + 3/4 = 19/ 20

1 - 19/20 = 1/20

therefore 12 mango equal 1/20

12 × 20 = 240

12/240 is the same as 1/20

Answer:

y=18 x=15

Step-by-step explanation:

1.

multiplyboth sides by 3

2(x-6)=18

divide both sides by 2

x-6= 9

add 6 on both sides

x=15

2.

add 6 on both sides

2/3y= 12

multiply both sides by 3

2y=36

divide both sides by 2

y=18

Answer:

The answer is 1475 have a nice day! <3

Answer:

The slope is 3

Step-by-step explanation:

m = rise/run

m = (y2 - y1)/(x2-x1)

points: (0,-5), (1,-2)

m = ((-5) - (-2))/ ((0) - (1))

m = (-5 + 2)/ (-1)

m = -3/-1

m = 3

Answer:

The equation represents a linear function because the equation has two variables, x and y.

Step-by-step explanation:

if im wrong let me know mark brainlist plz

Answer:

the answer is c

Step-by-step explanation:

Answer:

Average time for West Middle was maximum.

Step-by-step explanation:

Average time for a track meet for schools = [tex]\frac{\text{Time}}{\text{Distance}}[/tex]

For Eastbay Middle,

Average time per mile = [tex]\frac{42}{7}[/tex]

                                     = 6 minutes per mile

For Northwest Middle,

Average time = [tex]\frac{25}{5}[/tex]

                       = 5 minutes per mile

For South Central Middle,

Average time = [tex]\frac{28}{4}[/tex]

                       = 7 minutes per mile

For West Middle,

Average time = [tex]\frac{48}{6}[/tex]

                       = 8 minutes per mile

Therefore, average time for West Middle (8 minutes per minute) was maximum.

Answer:

The width would be 12.5 feet.

Step-by-step explanation:

On a square all the sides are the same to the height, length, and width are all 12.5 feet.

Answer:

I believe its 66

Step-by-step explanation:

55×20%=11

55+11=66

Answer:

62.5 miles per hour

Step-by-step explanation:

Answer:62.5 miles an hour

Step-by-step explanation: You would divide 250 by 4.

Answer:

of triangle =12base×height

Area of triangle =2x2−11x+15

base =2x−5

Plugging in the given;

2x2−11x+15=12(2x−5)×height

2x2−11x+15=2x−52×height

2x2−11x+151=2x−52×height

2(2x2−11x+15)=(2x−5)×height

4x2−22x+30=(2x−5)×height

4x2−22x+302x−5=height

Resolving the quadratic equation;

(4x2−22x+30)

Simplifying;

4x

Answer:

2x-6

Step-by-step explanation:

height : 2(2x^2-11x+15)/(2x-5)

(4x^2-22x+30)/(2x-5)

Δ/4 = 121 - 120 = 1

x1 = (11+1)/4 = 3

x2 = (11-1)/ 4 = 5/2

4(x-5/2)(x-3)

(4x-10)(x-3)/(2x-5)

2(2x-5)(x-3)/(2x-5)

2x-6

Proof

(2x-6)(2x-5)/2

2(x-3)(2x-5)/2

2x^2-5x-6x+15

2x^2-11x + 15

Answer:

y=8-6x

Step-by-step explanation:

Answer:

y=0

x=4/3

Step-by-step explanation:

6x+y=8

x =8-y/6

substitute 8-y/6 in second equation

42*8-y/6 +7y=56

7(8-y) +7y=56

56-y+ 7y=56

-y+ 7y=0

6y=0

y=0

6x+y=8

6x+0=8

x=8/6

x=4/3

Answer:

25 is the answer

for proof see the pic

first divide it by 11 then and when you get the numerator as 100 and denominator as 4 divide it by 2

So as to get numerator as 50 and denominator as 2 .

Later, Divide it by 2 and hence, your answer is 25.....;)

Answer:

Question is: Mom can make 10 brownies from a 12-ounce package. The brownie mix is also sold in 1 and a half-pound bags. How many bags would be needed to make  120 brownies?

Step-by-step explanation:

As mentioned in question,

10 brownies made from = 12 ounce package

120 brownies will be made from = 10 * 12 packages

now 12 packages will have ounces = 12 * 12 = 144 ounces

We also know that packages are one and a half pounds

Applying conversion factor = 1.5 pound = 24 ounces

Now we can find answer: 144 ounces total requires / 24 ounces

Answer = 6 bags

6 bags of 1.5 pounds will be required for 120 brownies.