1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hammer [34]
3 years ago
13

X Angle 1 and Angle 2 are supplementary, Solve for x if angle 1 = 2x -3 and/3

Mathematics
1 answer:
Alona [7]3 years ago
5 0

9514 1404 393

Answer:

  ∠1 = 67°; ∠2 = 113°

Step-by-step explanation:

<u>Given</u>:

  ∠1 = 2x-3

  ∠2 = 3x +8

  ∠1 +∠2 = 180

<u>Find</u>:

  ∠1, ∠2

<u>Solution</u>:

Substituting the first two relations into the third, we have ...

  (2x -3) +(3x +8) = 180

  5x +5 = 180 . . . eliminate parentheses

  x + 1 = 36 . . . . . divide by 5

  x = 35

Then the angles are ...

  ∠1 = 2x-3 = 2(35) -3

  ∠1 = 67°

  ∠2 = 3x +8 = 3(35) +8

  ∠2 = 113°

You might be interested in
If it take 10 hours to get 50% how many hours are 32%
love history [14]

ANSWER

6.4 hours

EXPLANATION

if it takes 10 hours to get 50%, then it will take less number of hours to get 32%

We use proportion to solve this question.

If less more divides.

The number of hours it will take to get 32% is

=  \frac{32\% \times 10}{50\%}

= 6.4

Hence it will take 6.4 hours to get 32%

8 0
4 years ago
Leila is riding her bicycle. She rides 51.2 kilometers in 4 hours. What is her speed?
hammer [34]
Speed = distance divided by time. Plug in what you know. 

Speed = 51.2 km / 4 hrs.                  ****** Simplify *******************

Speed = 12.8 km/hr
4 0
3 years ago
In the interval 0 to the power 0360 find x in which the sin is 0.6691. give your answer to the nearest degree
astraxan [27]

The angle for which the sine value is 0.6691 is found to be 42°.

What is the sine value?

A trigonometric function called sin x, where x is the angle under discussion stands for the sine of an angle. The sine function is the proportion between the perpendicular and hypotenuse of a right-angled triangle. In other words, the hypotenuse and its value change as the angle changes, and it is the ratio of the side opposite to the angle under discussion. In the study of physics, sound and light waves are represented by the sine function.

When the angle between a right-angled triangle's base and hypotenuse changes, the sine's value changes.

sin^{-1}(0.6691)=41.99°≈42°

Learn more about sine values here:

brainly.com/question/2920412

#SPJ4

4 0
2 years ago
Write the slope-intercept form of the equation of the line passing through the point (5, 5) and perpendicular to the line y = 4/
timofeeve [1]

Answer:

y = -9/4x + 16 1/4

Step-by-step explanation:

lmk if you want an explanation

5 0
3 years ago
The product of two positive numbers is 48. the larger number is 13 more than the smaller. Find both numbers [Only an algebraic s
Valentin [98]

Answer:

Larger number:

16

Smaller number

3

Step-by-step explanation:

Larger number: 16

Smaller number: 3

Explanation:

Suppose the larger number is

a

and the smaller number is

b

.

You solve the following system of equations:

a⋅b=48

a−13=b

Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48

a 2−13a=48

a2−13a−48=0

Factor the polynomial:

(a−16)(a+3)=0

a=16 or a=−3a is positive so a=16.

We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.

5 0
3 years ago
Other questions:
  • Find the length of arc xpy with a radius of 12m. leave in terms of pi./Users/alymcclellan/Desktop/Screen Shot 2017-07-31 at 10.2
    15·1 answer
  • Use properties of addition and subtraction to evaluate the expression. −24−8−26
    11·2 answers
  • A man walks in a straight path away from a streetlight at a rate of 4 feet per second. The man is 6 feet tall and the streetligh
    12·1 answer
  • Identify the initial value in each formula below, and state whether the formula models exponential growth or
    10·1 answer
  • What does mc to the second power mean&gt;?
    7·1 answer
  • For each $75 gym membership sold, the gym keeps $55 and the employee who sold it gets $20 in commission. The commission the empl
    15·2 answers
  • The area of a rectangle with a<br> length of 10 cm and a width of 3<br> cm.
    10·2 answers
  • Evaluate 50-3d if d=12<br><br><br><br> PLEASE HURRY! I'M TIMED!
    7·1 answer
  • Please help!!! I’ll mark you the Brainlyest!!
    7·2 answers
  • What is 11 1/20 as a decimal?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!