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
Sunny_sXe [5.5K]
2 years ago
13

Find the values of a and b. a The diagram is not drawn to scale. a = U b = U

Mathematics
1 answer:
nata0808 [166]2 years ago
7 0

Answer:

a = 36°

b = 144°

Step-by-step explanation:

<h3><u>Method 1</u></h3>

Number of sides = n = 10

Sum of interior angles = (n - 2) × 180°

                                     = (10 - 2) × 180°

                                     = 8 × 180°

                                     = 1440°

Interior angle = b = sum of interior angles ÷ number of sides

                          b = 1440 ÷ 10

                          b = 144°

              a + b = 180° (Sum of angles in the straight line)

         a + 144° = 180°

a + 144° - 144° = 180° - 144°

                    a = 36°

<h3><u>Method 2</u></h3>

Number of sides = 10

Exterior angle = a = 360° ÷ Number of sides

                           a = 360° ÷ 10

                           a = 36°

            a + b = 180° (Sum of angles in the straight line)

        36° + b = 180°

36° + b - 36° = 180° - 36°

                 b = 144°

You might be interested in
Harriet has 3 crates of watermelons. Each crate alone weighs 15.5 pounds and contains between 32 and 36 watermelons. The weight
Anuta_ua [19.1K]

Answer:no

Step-by-step explanation: Each crate is 15.5 pounds there is only 3 crates therefor 3 crates weighing 15.5 pounds each would only weigh 46.5 pounds all together

4 0
3 years ago
Find an equation for the line with the given properties. Perpendicular to the line x - 6y = 8; containing the point (4,4) O 1) y
Pepsi [2]

Answer:

Option 3 - y=-6x+28

Step-by-step explanation:

Given : Perpendicular to the line x - 6y = 8; containing the point (4,4).

To Find : An equation for the line with the given properties ?

Solution :

We know that,

When two lines are perpendicular then slope of one equation is negative reciprocal of another equation.

Slope of the equation x - 6y = 8

Converting into slope form y=mx+c,

Where m is the slope.

y=\frac{x-8}{6}

y=\frac{x}{6}-\frac{8}{6}

The slope of the equation is m=\frac{1}{6}

The slope of the perpendicular equation is m_1=-\frac{1}{m}

The required slope is m_1=-\frac{1}{\frac{1}{6}}

m_1=-6

The required equation is y=-6x+c

Substitute point (x,y)=(4,4)

4=-6(4)+c

4=-24+c

c=28

Substitute back in equation,

y=-6x+28

Therefore, The required equation for the line is y=-6x+28

So, Option 3 is correct.

8 0
3 years ago
Identify the graph of ƒ(x) = x2 + 6x – 7 from the choices below.
torisob [31]

f(x) = x^2 + 6x - 7

y = x^2 + 6x - 7

y = (x - 1)(x + 7)

x + 7 = 0

x = -7

x - 1 = 0

x = 1

The x-intercepts are -7 and 1.

Since the leading coefficient is a positive, the graph will point upwards.

So, the graph of the function is D.

5 0
3 years ago
Which equation represents a function?
Len [333]

Answer:

D) y= 3x^2 + 2 represents a function.

3 0
3 years ago
If 16 + 4x is 10 more than 14. what is the value of 8x?<br> A) 2<br> B) 6<br> C) 16<br> D) 80
Irina18 [472]

Answer:

16

Step-by-step explanation:

solve for X.

16+4x=10+14

16+4x=24

4x=24-16

4x=8

x=2

8x=8(2)

8x=16

4 0
3 years ago
Read 2 more answers
Other questions:
  • A meteorologist reports that the chance of snow is less
    6·2 answers
  • Find the approximate height of the flagpole.
    7·2 answers
  • Maggie is having the flooring replaced in her kitchen, living room, and master bedroom.
    5·2 answers
  • State the slope and y-intercept of the graph of 9 – x = 2y
    10·1 answer
  • Miguel bought 2 1/4 pounds of hamburgers,1 1/5 pounds of sliced turkey ,and 2 pounds of cheese.what was the total weight of all
    12·1 answer
  • What's the difference between partial variation and direct variation​
    15·1 answer
  • 45 PTS!!! please help! Place the correct inequality interval in the appropriate blank. All intervals are listed with the variabl
    13·1 answer
  • What is the area, in square units, of trapezoid ABCD shown below?
    8·1 answer
  • Brainliest for whoever answers
    8·2 answers
  • What is the other factor if... <br> 3b² is a factor of 33b³ c² ?<br> need solution please
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!