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3 years ago

The measure of an angle is 89 times the measure of its supplementary angle. What is the measure of each angle

Mathematics

1 answer:

Olegator [25]3 years ago

7 0

Answer:

2 and 178

Step-by-step explanation:

If we take an instance of a number 'x', according to the question we find that x+x*89=180(Because they are complementary)

We get, = 89x+x=180

=> 90x=180

=> x=180/90

=> x =2

So, we found that x=2 , hence the other angle is going to be 2*89=178

This is correct as 2+178=180(as they are supplementary to each other)

Hope this answer helps, Please mark me as brainliest, Thank you!

You might be interested in

What is 1/2-5/13.....

Lerok [7]

1/2 - 5/13 = 3/26 = 0.115

Because: 1/2 - 5/13 = 1 x 13 ÷ 2 x 13 - 5 x 2 ÷ 13 x 2 = 13/26 - 10/26

13/26 - 10/26 = 13 - 10 ÷26 = 3/26 or 0.115.

Hope helps-Aparri

4 0

3 years ago

Find the value of x. Then find the measure of each labeled angle. (9x - 10) (5x + 38)

omeli [17]

Answer:

x=12 and

(9*12)-10=98

(5*12)+38=98

both angles are = 98

Step-by-step explanation:

do this :

9x - 10 = 5x + 38

( - 5x from both sides)

4x - 10 = 38

(add 10 to both sides)

4x = 38+10

4x=48

(divide by 4)

x=48/4

= 12

substitute into the equations:

(9*12)-10

(5*12)+38

3 0

3 years ago

Find all solutions

Anton [14]

Answer:

The solutions of the equation are 0 , π

Step-by-step explanation:

* Lets revise some trigonometric identities

- sin² Ф + cos² Ф = 1

- tan² Ф + 1 = sec² Ф

* Lets solve the equation

∵ tan² x sec² x + 2 sec² x - tan² x = 2

- Replace sec² x by tan² x + 1 in the equation

∴ tan² x (tan² x + 1) + 2(tan² x + 1) - tan² x = 2

∴ tan^4 x + tan² x + 2 tan² x + 2 - tan² x = 2 ⇒ add the like terms

∴ tan^4 x + 2 tan² x + 2 = 2 ⇒ subtract 2 from both sides

∴ tan^4 x + 2 tan² x = 0

- Factorize the binomial by taking tan² x as a common factor

∴ tan² x (tan² x + 2) = 0

∴ tan² x = 0

OR

∴ tan² x + 2 = 0

∵ 0 ≤ x < 2π

∵ tan² x = 0 ⇒ take √ for both sides

∴ tan x = 0

∵ tan 0 = 0 , tan π = 0

∴ x = 0

∴ x = π

OR

∵ tan² x + 2 = 0 ⇒ subtract 2 from both sides

∴ tan² x = -2 ⇒ no square root for negative value

∴ tan² x = -2 is refused

∴ The solutions of the equation are 0 , π

4 0

3 years ago

Read 2 more answers

A girl threw a marble 15 m vertically up in the air which later fell and settled at the bottom of a lake 7 m deep. Find the tota

emmasim [6.3K]

Answer:

22 m

Step-by-step explanation:

Total distance travelled by marble while falling down = height above surface of lake + depth of lake = 15 + 7 = 22 m

6 0

3 years ago

50 POINTS!!! WILL MARK BRAINLIEST!!! CORRECT ANSWERS PLS 1 HOUR LEFT

Brut [27]

Answer:

○ 3

○ y + ½ = 3(x - 2)

○ Multiply both sides of the equation by 3. The Standard Form of the equation is 12x - 2y = 24.

○ 5x - 3y = 15

○ y = ½x + 5⁄2

Step-by-step explanation:

Find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m → (-1, 1) and (-2, -2)

$\frac{2 + 1}{2 - 1} = 3$

__________________________________________________________

According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting this coordinate into the formula with their CORRECT SIGNS:

(2, -½) → y + ½ = 3(x - 2)

__________________________________________________________

We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it:

-3[4x - ⅔y = 8] → -12x + 2y = -24

** They should have multiplied by -3 instead of 3 because that negative is hooked up to everything in the fraction, but since the exercise gave you 12x - 2y = 24, go with 12x - 2y = 24.

__________________________________________________________

If you would take a look at this graph real closely, you will see that this graph intersects the y-axis and x-axis at ENDPOINTS, so to find the x-intercept, you simply plug in zero for y: 5x = 15, and you will know right away that x is set to equal 3, which is what you see in the graph, (3, 0). Now, to find the y-intercept, you simply plug in zero for x: -3y = 15, and you will know right away that y is set to equal -5, which is what you see on the graph as well, (0, -5). With that being said, you have your answer.

__________________________________________________________

y - 3 = ½(x - 1)

y - 3 = ½x - ½

+ 3 + 3

_____________

y = ½x + 2½

* 2½ = 5⁄2

I am joyous to assist you anytime.

4 0

3 years ago