What is the value represented by the letter A on the box plot of the data?

PLEASE HELP I WILL GIVE BRAINLYEST

insens350 [35]

∠13 = 70.5° [Vertically Opposite angles]

∠13+∠14=180° [Linear pair]

70.5°+∠14=180°

∠14=180-70.5

∠14=109.5

∠15=∠14=109.5 [Vertically opposite angles]

∠13=∠12= 70.5° [Co-interior angles]

∠12=∠10= 70.5° [Vertically Opposite angles]

∠14=∠11=109.5 [Co-interior angles]

∠9=∠11= 109.5 [Vertically opposite angles]

∠13=∠7= 70.5° [Alternate interior angles]

∠7=∠5=70.5° [Vertically Opposite angles]

∠7+∠8=180° [Linear Pair]

70.5+∠8=180

∠8=180-70.5

∠8=109.5°

∠8=∠6= 109.5° [Vertically Opposite angles]

∠6=∠3=109.5° [Co-interior angles]

∠7=∠2=70.5° [Co-exterior angles]

∠2=∠4= 70.5° [Vertically Opposite angles]

∠3=∠1= 109.5° [Vertically Opposite angles]

$\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}$

<h3>Measures of all angles in sequence⤵️</h3>

∠1= 109.5°
∠2= 70.5°
∠3= 109.5°
∠4= 70.5°
∠5= 70.5°
∠6= 109.5°
∠7= 70.5°
∠8= 109.5°
∠9= 109.5°
∠10= 109.5°
∠11= 70.5°
∠12= 109.5°
∠13= 70.5°
∠14= 109.5°
∠15= 109.5°
∠16= 70.5°

8 0

2 years ago

Read 2 more answers

Evaluate 1/2a^-4b^2 for a=-2 and b=4 A) 2 B) 1/2 C)3 D)4

shepuryov [24]

Answer:

The answer to your question is: letter B) 1/2

Step-by-step explanation:

Data

a = -2

b = 4

Equation

(1/2)a⁻⁴b²

Substitution

= (1/2)(-2)⁻⁴(4)²

= (1/2) (1 /2⁴)(4)²

= 1/2 (1/16) (16)

= 16 / 32

= 1 / 2

5 0

3 years ago

A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of 2pi/3

Aloiza [94]

You can solve this problem and calculate the arc lenght, by applying the following formula:

s=θr

s: it is the arc lenght.
θ: it is the central angle (θ=2π/3).
r: it is the radius of the circle (r=10 inches).

When you substitute these values into the formula, you obtain the arc lenght (s):

s=θr
s=(2π/3)(10)

Then, you have that the value of the arc lenght is:

s=20.94 inches

7 0

3 years ago

Read 2 more answers

Select and use the most direct method to solve 2x(x + 1.5) = -1. Describe and justify the methods you used to solve the quadrati

miskamm [114]

Step-by-step explanation:

Given that,

A quadratic equation,

2x(x + 1.5) = -1

We need to solve the quadratic equation. Firstly we need to simplify the above equation to form it as $ax^2+bx+c=0$ .

So,

$2x^2+3x=-1\\\\2x^2+3x+1=0$

Here, a = 2, b = 3 and c = 1

The roots of the given equation can be given by :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

Putting all the values we get :

$x=\dfrac{-b\pm \sqrt{b^2+4ac} }{2a}, \dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-3\pm \sqrt{3^2+4(2)(1)} }{2(2)}, \dfrac{-3\pm \sqrt{3^2-4(2)(1)} }{2(2)}\\\\x=\dfrac{-3+1}{4}, \dfrac{-3-1}{4}\\\\x=-\dfrac{1}{2}, -1$

So, the roots of the given equation is -1/2 and -1.

5 0

3 years ago

Writing explain how you know when a linear system in three variables has infinitely many solutions.

Lilit [14]

Pick any two pairs of equations from the system. Eliminate the same variable from each pair using the Addition/Subtraction method. Solve the system of the two new equations using the Addition/Subtraction method.

5 0

3 years ago