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icang [17]
3 years ago
8

Given: Measure of arc AB = measure of arc BC,

Mathematics
1 answer:
emmasim [6.3K]3 years ago
6 0

9514 1404 393

Answer:

  100°

Step-by-step explanation:

The relevant relation for angle x is ...

  x = (AB +DE)/2

and for angle y, it is ...

  y =(AC -DE)/2

Using the second relation to write an expression for DE, we have ...

  DE = AC -2y

In the first equation, this lets us write ...

  x = (AB +(AC -2y))/2 = (AB +(2AB -2y))/2

  2x = 3AB-2y . . . . . . . . . . . . . . multiply by 2

  (2x +2y)/3 = AB = AC/2 . . . . . add 2y; divide by 3

  AC = (4/3)(x +y) = (4/3)(60° +15°) . . . . multiply by 2, substitute known values

  AC = 100°

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PLEASE HELP ILL GIVE !!!
Zolol [24]

Answer:

4) y = 10x

5) y = 13x

6) 2,1

4,2

6,3

y=0.5x

7 0
3 years ago
Determine the number of x-intercepts that appear on a graph of each function. f (x) = (x - 6)2(x + 2)2
Tpy6a [65]
<span>The number of x-intercepts that appear on the graph of  the function
</span>f(x)=(x-6)^2(x+2)^2 is two (2): x=6 (multiplicity 2) and x=-2 (multiplicity 2)


Solution
x-intercepts:
f(x)=0→(x-6)^2 (x+2)^2 =0

Using that: If a . b =0→a=0 or b=0; with a=(x-6)^2 and b=(x+2)^2

(x-6)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x-6)^2] = sqrt(0)→x-6=0
Adding 6 both sides of the equation:
x-6+6=0+6→x=6 Multiplicity 2

(x+2)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x+2)^2] = sqrt(0)→x+2=0
Subtracting 2 both sides of the equation:
x+2-2=0-2→x=-2 Multiplicity 2
6 0
3 years ago
Read 2 more answers
An auto insurance company has 10,000 policyholders. Each policy is defined as: young or old male or female; and married or singl
Blababa [14]

Answer:

880

Step-by-step explanation:

This problem a bit annoying, but let's classify the numbers and see where we can get from there:

Total = 10,000

Young = 3,000

Old = 7,000 (not young defined as 10,000 - 3,000)

Male = 4,600

Female = 5,400

Married = 7,000

Single = 3,000

Young Males = 1,320

Young Females = 3,000 (young) - 1,320  = 1,680

Married Males = 3,010

Married Females = 7,000 - 3,010 = 2,990

Young Married = 1,400

Young Married Males = 600

Young Married Females = 1,400 - 600 = 800

Young Female Single = ?

Young Female = 1,680 from above.  But not all of them are single.

Young Married Females = 800 from above

Young Female Single = Young Female - Young Married Females = 1,680 - 800 = 880

6 0
3 years ago
3. The area of a square garden is 200 m2. How long is the diagonal?
Step2247 [10]

The answer and explanation in the pic below

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3 0
3 years ago
What is the value of the expression |x y| |z| when x = –6, y = 4, and z = –13?
Gala2k [10]
<span>|x + y| + |z| = </span><span>|-6 + 4| + |-13| = </span><span>|-2| + 13 = 2 + 13 = 15</span>
7 0
3 years ago
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