The measure of an angle is 60 greater than the measure of its complement find the measure of each angle

Answers

Answer 1

Answer:

[tex] \\ \\ 90-60=30degree \\ \\ [/tex]

Answer 2

Answer:

15° and 75°

Step-by-step explanation:

The sum of the measures of complementary angles is 90.

Angle 1 measures x.

Angle 2 measures x + 60.

Their sum is 90.

x + x + 60 = 90

2x + 60 = 90

2x = 30

x = 15

x + 60 = 75

Answer: 15° and 75°


Related Questions

HELP PLEASE FOR BRAINLIEST

Answers

Answer: can i get

Step-by-step explanation:

The side length of an equilateral triangle is 5 cm.

Find its perimeter

Answers

Answer: 15 cm

Step-by-Step Explanation:

Side Length (a) = 5cm
Perimeter = 3a

Therefore,
= 3a
= 3 * 5
= 15

Perimeter = 15 cm

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

                The side length of an equilateral triangle is 5 cm. Find its perimeter.

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

We are given that the triangle is equilateral.

"equi" means "equal" and "lateral" means "sides"

✯ So an equilateral triangle has 3 equal sides.

We are also given that one side is equal to 5 cm.

If one side is equal to  5 cm, and the triangle's equilateral, then the other two sides are equal to 5 cm.

◈ In order to find the perimeter of a shape, you should add all of its side lengths together.

✯ Now, we need to find the perimeter, which we can find using the following formula:-

[tex]\bold{Perimeter_{(triangle)}=a+b+c}[/tex]

Where a, b, and c are side lengths of the triangle.

Now, we add them:-

[tex]\hookrightarrow\sf{P=5+5+5}[/tex]

So we conclude that the perimeter is equal to:-

[tex]\hookrightarrow\sf{P=15\:cm}[/tex]

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

Colin invests £2900 into his bank account.
He receives 3% per year compound interest.
How much will Colin have after 4 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

£3263.98 (nearest penny)

Step-by-step explanation:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = £2900r = 3% = 0.03n = 1t = 4

Substituting given values into the formula and solving for A:

[tex]\implies \sf A=2900(1+\frac{0.03}{1})^{1 \times 4}[/tex]

[tex]\implies \sf A=2900(1.03)^{4}[/tex]

[tex]\implies \sf A=3263.975549[/tex]

Therefore, Colin will have £3263.98 after 4 years (to the nearest penny).

Answer:

$3264

Explanation:

[tex]\sf compound \ interest : P(1+\frac{r}{100} )^n[/tex]  
"P" is principal, "r" is rate of interest, "n" is time (years)

Here given:

principal: £2900rate of interest: 3%time: 4 years

After 4 years amount:

[tex]\rightarrow \sf 2900(1+\frac{3}{100})^4[/tex]

[tex]\rightarrow \sf 2900(1.03)^4[/tex]

[tex]\rightarrow \sf 3263.9755[/tex]

[tex]\rightarrow \sf 3264[/tex]  (rounded to nearest whole number)

What are the measures of ∠CED and ∠BCE in the figure?

Answers

Answer:

∠CED = 70°

∠BCE = 134°

Step-by-step explanation:

Finding z :

∠EDC = ∠ABC (Alternate angles)8z = 64z = 8

Finding ∠CED :

∠CED = 9z - 2∠CED = 9(8) - 2∠CED = 70°

Finding y :

∠CDE = ∠BAC (Alternate angles)70 = 3y + 103y = 60y = 20

Finding ∠BCE :

∠BCE = 7y- 6∠BCE = 7(20) - 6∠BCE = 134°

Answer:

∠CED = 70°

∠BCE = 134°

Step-by-step explanation:

We don't know if AB and DE are parallel (since there are no arrows on these line segments), therefore we cannot use the Alternate Interior Angles Theorem at this point to definitively say that ∠CDE = ∠ABC.

Angles around a point sum to 360°

Angles on a straight line sum to 180°

⇒ ∠ACB + ∠BCE = 180

⇒ ∠ACB + (7y - 6) = 180

⇒ ∠ACB = 180 - (7y - 6)

⇒ ∠ACB = 180 - 7y + 6

⇒ ∠ACB = 180 - 7y + 6

⇒ ∠ACB = 186 - 7y

The interior angles of a triangle sum to 180°

⇒ ∠ACB + ∠CBA + ∠BAC= 180

⇒ 186 - 7y + 64 + 3y + 10 = 180

⇒ 260 - 4y = 180

⇒ 4y = 80

⇒ y = 20

Using the found value of y to find ∠BCE:

⇒ ∠BCE = 7(20) - 6

⇒ ∠BCE = 134°

Angles on a straight line sum to 180°

⇒ ∠DCE + ∠BCE = 180

⇒ ∠DCE + 134 = 180

⇒ ∠DCE = 46°

The interior angles of a triangle sum to 180°

⇒ ∠DCE + ∠CED+ ∠EDC = 180

⇒ 46 + (9z - 2) + 8z = 180

⇒ 17z + 44 = 180

⇒ 17z = 136

⇒ z = 8

Using the found value of z to find ∠CED:

⇒ ∠CED = 9(8) - 2

⇒ ∠CED = 70°

Need Help With This Fast!!!!

Answers

Answer:

yes

Step-by-step explanation:

the slope stays constant throughout

Three coins are flipped.

1. Make an organized list of the sample space for this experiment.

2. Which outcomes represent the event “at least two tails”?

3. What is the probability that there will be at least two tails

I will give brainliest if I see a answer labeled like this 1., 2., 3.,
I can only give brainliest if 2 people answer

Thanks so much! (๑>◡<๑)

Answers

Step-by-step explanation:

1.

when 3 coins are flipped the following outcomes are possible

h = heads, t = tails

h h h

h h t

h t h

h t t

t h h

t h t

t t h

t t t

yes, there have to be 8 options, because we have 3 positions with 2 possible outcomes. that means

2×2×2 = 2³ = 8 possibilities.

2.

at least 2 tails means 2 or 3 t in the list item :

h t t

t h t

t t h

t t t

3.

so, 4 out of the 8 possible outcomes. the probability is then therefore

4/8 = 1/2 = 0.5

There was a population of 160 beavers in a National Park. After a year, the population increased by 45%. How many beavers are there in the park now?​

Answers

Answer:

232

Step-by-step explanation:

→ Find the percentage multipier

( 100 + 45 )÷ 100 = 1.45

→ Multiply this by the original amount

1.45 × 160 = 232

Each horse ride lasts 5 minutes with one minute pause in between for the next rider to get in the saddle . After every hour and a half the horses are given a rest . How many children can get an opportunity to ride a horse before they rest

Answers

Answer:

15 rides for each horse

Step-by-step explanation:

60 minutes in an hour

   90 minutes in an hour and a half

6 minutes per ride (counting the re-saddle time )

   90 min / 6 min/ride = 15 rides     for each horse

which digit is in the hundredths place of the decimal number 6.537?

Answers

3 is the number in the hundredths place


Asking for help on this again because i reallu need it!!

Answers

Answer:

5. 5.8

6. 6

7. 6

Step-by-step explanation:

5. mean - add all values and divide by the number of values

2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10 = 75

mean = 75/13 = 5.8

6. median - middle value of values written in ascending order.

2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10

median = 6

7. mode - value that occurs most times

mode = 6

Find the range of the following data. Answers are rounded to the nearest tenth. 5, 5, 6, 12, 13, 26, 37, 49, 51, 56, 56, 84

Answers

Answer:

Step-by-step explanation:

Remeber range is the difference between the highest and lowest values in a set of numbers.  so 79 right rounded to the nearst tenth the answer will be 80

The prisms are similar. What is the surface area of Prism B?
Prism A is 10 m. Prism B is 3 m. Surface area = 880m2

Answers

Answer:

Both of the prism are similar , Then

prism A is 10m and it's surface area is 880m²

Now,

prism B is 3m and it's surface area will be = 264m²

a triangle that has 2 side lengths of 8 and 12 if x represents the length in inches on the third side, which inequality gives the range of possible values for x

Answers

Based on the triangle inequality theorem, the inequality that gives the range of possible values for x is: 4 < x < 20.

What is the Triangle Inequality Theorem?

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side.

Therefore, the range of values that is possible for x would be:

12 - 8 < x < 12 + 8

4 < x < 20

The inequality is: 4 < x < 20

Learn more about the triangle inequality theorem on:

https://brainly.com/question/309896

#SPJ1

There are 50 roses in a tray. There is at least 1 red rose among any 24 randomly selected roses, and there is 1 white rose among any 28
randomly selected roses. How many white roses are there? QUICK PLS

Answers

So probability of red rose is 1/24

Probability of white rose is 1/28

TOTAL roses= 50

P(A)=(1/24)P(B)=1/28=0.035P(AUB)=1/50

P(A$\cap$ B)=1/24+1/28-1/50

175+150-84/4200241/4200=0.057

So Probability of white is

0.057-0.0350.022

Find the sale price regular price $ 12.88 discount %15

Answers

Answer:

$ 1.932

Step-by-step explanation:

8 > −4; Subtract 8 from both sides.

The resulting inequality is:

Answers

Answer:

True, (-∞, ∞)           0 > -12

Step-by-step explanation:

8 > −4

8 - 8 > −4 - 8

0 > -12

Hope it helps :)

If you have any questions or anymore help lmk, happy to help with any school work!!

Have a nice day, you’ll make it thru :)

(shhhh i added your deleted question to this one as well, Image below)

what's the answer???????

Answers

Answer:

i belive 7

Step-by-step explanation:

becuse 3+6 in one line = 9 so 2 + 7= 9

Help please lol lol :))))

Answers

Answer:

is this required answer

Step-by-step explanation:

AB=3x-2

=3*8-2

=22

Answer:

[tex]\huge\boxed{\textbf{AB = 22}}[/tex]

Step-by-step explanation:

Given that:

AB = 3x - 2

Put x = 8

AB = 3(8) - 2

AB = 24 - 2

AB = 22

[tex]\rule[225]{225}{2}[/tex]

Somebody’s please help me with this it’s due tomorrow and I don’t have any idea how to do it

Answers

Answer:

1) They will stop 10 times for a break

2) A baker can make 10 cakes

3) Tammy will distrubute 36 bags with 2 1/2 pounds of candy

Step-by-step explanation:

Let me know if you have any questions !

Hope it helps

How many days would it take to breathe one billion times if you were
breathing at a rate of 12 times per minute?

Answers

Answer:

I think it would be 1,000,000.

Step-by-step explanation:

Let's begin with a correction: the verb in question is TO BREATHE; one instance of doing so is the noun BREATH.

12 times per minute; 60 minutes per hour; 24 hours per day; multiplying all of these gives some number of breaths per day.  I'm going to call it B (you can calculate it).

Answer:

Step-by-step explanation:

12 / min

720 / hr

17,280 / day

6,307,200 / yr

Now divide 1,000,000,000 by 6,307,200 and you get 158 years

A roast beef sandwich costs $6.75. A customer buys multiple roast beef sandwiches. Write an equation that represents the situation. Use x to represent the number of roast beef sandwiches. Then determine how many sandwiches the customer buys.

Answers

Answer:

1. 6.75x or (6.75, 1)

2.  buys 9 sandwiches.

Step-by-step explanation:

hope this helps if not let me know have a blessed day

What is the coefficient of z in 14xy2z - 3?

Answers

Answer:

2

Step-by-step explanation:

Calculate the distance between the points C = (-5, 9) and G=(-2, 4) in the coordinate plane.
Give an exact answer (not a decimal approximation).

Answers

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ C(\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad G(\stackrel{x_2}{-2}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ CG=\sqrt{[-2 - (-5)]^2 + [4 - 9]^2}\implies CG=\sqrt{(-2+5)^2+(-5)^2} \\\\\\ CG=\sqrt{3^2 +(-5)^2}\implies CG=\sqrt{34}[/tex]

Which number is a factor of the prime factorization of 60?
3
9
15
6

Answers

Answer:

3

Step-by-step explanation:

Prime factorization

60 = 2 x 2 x 5 x 3  

9  15  and 6   are NOT prime numbers !

how do you solve x2 – 4 = 5 by graphing the related function

Answers

Answer:

  see attached

Step-by-step explanation:

The related function we like to graph is the one that has the solutions as its zeros.

__

Subtract 5 from both sides.

  x² -9 = 0

This is now in the form ...

  f(x) = 0

The related function is then ...

  f(x) = x² -9

and its zeros are the solutions to the original equation. The zeros (x-intercepts) of f(x) are x = -3 and x = 3.

__

Additional comment

The second attachment shows a graph of the given equation. Essentially, its graph is two points on the number line: x = -3 and x = 3.

Whats the volume of the solid?

A. 8
B 12
c 32
d. 64

I WONT BREATHE UNTIL U ANSWER ME

Answers

The volume of the solid will be equal to V=64 Cubic inches.

What is volume?

The space occupied by any solid object in the three-dimension is called as the volume.

Here we have 8 cubes in the solid object each cube has the side equal to 2 inches.

So the volume of one cube will be:

V=a³=2³=8 cubic inches

Since total number of the cubes are 8 so total volume will be:

V=8x8=64 cubic inches

hence the total volume will be equal to 64 cubic inches`

To know more about volume follow

https://brainly.com/question/1972490

#SPJ1

Suppose the demand for Volkswagen Beetles in Mexico is described by the function D=33.000-2P. where D is the quantity of Beetles that will be demanded when the price is P dollars. Suppose further that the supply S of Volkswagen Beetles follows the functional relationship S = 6000 + P Solve for the equilibrium price P which is the value of at which demand would equal supplyi.e. at which D = S

Answers

I’m not entirely sure but I think this is how you do it:

S = D so:
33.000-2P = 6.000+P
-3P = -27.000
P = 9.000

How do I answer this 1x+2

Answers

Here is the answer and how to solve it answer is x+2

Answer:

x+2

Step-by-step explanation:

Given polynomial:

1x+2

x can be written as 1x, which is

1x = x

Same case is here as well.

Rewrite 1x as x:

x + 2

There isn't any like terms so we can't simplify.

Please help me with this problem

Answers

Answer:

1516

Step-by-step explanation:

hope can help you

2000x 2%=40

9000x 5%= 450

(30000-9000-2000) x 5.4% = 1026

total tas 40+450+1026=

30. Find the volume of the figure below.
21 km
15 km
19 km
9 km

Answers

Answer:

See below ....none of your answer choices  'fit'

Step-by-step explanation:

Break it into two pieces....a triangular prism and a square pyramid

prism volume = (area) * length

                      ( 1/2 base * height)     *  length  

     Use pythagorean theorem to find height of triangular prism = 12

                            1/2 * 12 * 9   * 21 = 1134 km^3

Pyramid volume = 1/3 base * height =

               =   1/3  *   (9*21)    *    7 = 441 km^3

Summed = 1575 km ^3          

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