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
gregori [183]
3 years ago
9

The angles of a triangle are 80°, 2x + 2°, and 5x°.

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
6 0
80 + 2x+2 +5x = 180
7x = 180 - 80 - 2
7x = 198
x = 14
Bezzdna [24]3 years ago
5 0
The sum of interior of all angles in a triangle = 180
Given 3 angles = <span>80°, 2x + 2°, and 5x°
To find x:

</span><span>80°+  2x + 2 +  5x = 180
7x + 82 = 180
        7x = 98
          x = 14

answer
x = 14 </span>
You might be interested in
Most people can walk about 3750 feet in 15 minutes what is the unit rate in feet per minute for this walking pace
Debora [2.8K]

Based on the calculations, the unit rate in feet per minute for this walking pace is equal to 250 feet per minute.

<h3>How to calculate the unit rate?</h3>

A unit rate refers to a measurement of a quantity which is calculated as a ratio of one parameter to another.

This ultimately implies that, we would divide the distance covered in feet by the time taken to cover this distance as follows:

Unit rate = distance/time

Unit rate = 3750/15

Unit rate = 250 feet per minute.

Read more on time here: brainly.com/question/12199398

#SPJ1

5 0
2 years ago
What is the ratio of red to blue squares in its simplest form?<br> 14 red 4 blue
zlopas [31]

Simplest Form: 7 : 2

How to Simplify a Ratio A : B when A and B are both whole numbers:

  1. List the factors of A
  2. List the factors of B
  3. Find the greatest common factor of A and B, GCF(A, B)
  4. Divide A and B each by the GCF
  5. Use the whole number results to rewrite the ratio in simplest form

Try to reduce the ratio further with the greatest common factor (GCF).

<em>The GCF of 14 and 4 is 2</em>

Divide both terms by the GCF, 2:

14 ÷ 2 = 7

4 ÷ 2 = 2

The ratio 14 : 4 can be reduced to lowest terms by dividing both terms by the GCF = 2 :

14 : 4 = 7 : 2

Therefore:

14 : 4 = 7 : 2

5 0
3 years ago
A function f(x)=3x+12.
seraphim [82]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2822258

_______________


•  Function:   f(x) = 3x + 12.


A.  Finding the inverse of f.

The composition of f with its inverse results in the identity function:

(f o g)(x) = x

f[ g(x) ] = x

3 · g(x) + 12 = x

3 · g(x) = x – 12

              x – 12
g(x)  =  ⸺⸺
                 3

               x 
g(x)  =  ⸺  –  4    <———    this is the inverse of f.
               3

________


B.  Verifying that the composition of f and g gives us the identity function:

•  \mathsf{(f\circ g)(x)}

\mathsf{=f\big[g(x)\big]}\\\\\\ \mathsf{=3\cdot \left(\dfrac{x}{3}-4\right)+12}\\\\\\&#10;\mathsf{=\diagup\hspace{-7}3\cdot \dfrac{x}{\diagup\hspace{-7}3}-3\cdot 4+12}\\\\\\&#10;\mathsf{=x-12+12}\\\\&#10;\mathsf{=x\qquad\quad\checkmark}


and also

•  \mathsf{(g\circ f)(x)}

\mathsf{=g\big[f(x)\big]}\\\\\\ \mathsf{=\dfrac{f(x)}{3}-4}\\\\\\ \mathsf{=\dfrac{3x+12}{3}-4}\\\\\\&#10;\mathsf{=\dfrac{\diagup\hspace{-7}3\cdot (x+4)}{\diagup\hspace{-7}3}-4}\\\\\\&#10;\mathsf{=x+4-4}\\\\&#10;\mathsf{=x\qquad\quad\checkmark}

________


C.  Since f and g are inverse, then

f(g(– 2))

= (f o g)(– 2)

= – 2          <span>✔
</span>

•  Call h the compositon of f and g. So,

h(x) = (f o g)(x)

h(x) = x


As you can see above, there is no restriction for h. Therefore, the domain of h is R (all real numbers).


I hope this helps. =)

5 0
3 years ago
Suppose that a butterfly can fly 82 feet in 4 seconds. A dragonfly can fly 50 feet in 2 seconds. Which can fly faster and by how
Lady bird [3.3K]

A butterfly can fly 82 feet in 4 seconds.

Distance traveled by butterfly = 82 feet.

Time taken by butterfly =4 seconds

Speed = distance /time

Speed of butterfly = 82/4 = 20.5 feet/second

A dragonfly can fly 50 feet in 2 seconds.

Distance traveled by dragonfly =50 feet.

Time taken by dragonfly =2 seconds.

Speed of dragonfly = 50/2 = 25 feet/second

So dragonfly can fly faster than the butterfly.

Difference in speed = speed of dragonfly - speed of butterfly = 25-20.5 = 4.5

So The dragonfly is 4.5 feet per second faster than butterfly.

Answer: B) The dragonfly is 4.5 feet per second faster.  


5 0
3 years ago
Read 2 more answers
Find the area of the circle. Round your answer to the nearest hundredth.
soldi70 [24.7K]

Answer:

50.27

Step-by-step explanation:

area of a circle: pi X r^2

r= radius

6 0
3 years ago
Read 2 more answers
Other questions:
  • Sandra is making decorations for the school dance out of construction paper. Each decoration uses 223 2 2 3 sheets of paper. San
    10·1 answer
  • A standard die is rolled. Find the probability that the number rolled is odd. Express your answer as a fraction in lowest terms
    9·1 answer
  • 81) The figure below is a trapezoid.
    14·2 answers
  • Is it proportional when Y-intercept is not the origin
    6·1 answer
  • F(1) if f(x) = x + 3
    8·1 answer
  • a new energy drink advertise 182 calories for 6 ounces how many calories are in 21 ounces of the drink? There are ____ calories
    8·2 answers
  • What is the result of adding these two equations?<br> −5x−9y=3<br> 5x−9y=−2<br> ​
    7·1 answer
  • The equation of the line that goes through the points ( − 3 , − 9 ) and ( − 6 , − 3 ) can be written in the form y = m x + b
    11·1 answer
  • My Math Integers. I'm stuck on this problem.. Someone please help? (-4)(-9) =
    14·2 answers
  • Which of the following lines will have a negative slope? Select all that apply
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!