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lana [24]
2 years ago
14

In circle O. AD and BE are diameters. The measure of arc AB is 55° and the measure of arc CD is 25° B с F D E What is the measur

e of BC ? 090 O 110 O 100 O 80​

Mathematics
1 answer:
klemol [59]2 years ago
3 0

Answer:

100°

Step-by-step explanation:

the total of all angles around O on one side of AD is 180° (as that would represent a half-circle).

and the sum of the arc angles AB + BC + CD covers the whole 180°.

so, we have

180 = 55 + BC + 25

180 = 80 + BC

BC = 100°

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In the coordinate plane, point A(-1,-1) is translated to point A' (-3.-3). Under the same translation, the points B(-4,-4) and C
Nat2105 [25]

Answer:

B' (- 6, - 6 ) , C' (- 7, - 7 )

Step-by-step explanation:

Consider the coordinates of A and A'

A (- 1, - 1 ) , A' (- 3, - 3 )

- 1 to - 3 in both the x and y direction means subtracting 2 units , then

translation rule is

(x, y ) → (x - 2, y - 2 ) , then

B (- 4, - 4 ) → B' (- 4 - 2, - 4 - 2 ) → B' (- 6, - 6 )

C (- 5, - 5 ) → C' (- 5 - 2, - 5 - 2 ) → C' (- 7, - 7 )

3 0
3 years ago
-3(2 - 4x) = -5<br>....​
gizmo_the_mogwai [7]

Answer:

x = 1/12

Step-by-step explanation:

Assuming you're finding x. As a decimal, it's 0.08333 …

7 0
3 years ago
Given the expression-1/2(4x-6) +2 (x2-5x+5) complete the instructions below
Art [367]

Answer:

  A) 2x^2 -12x +13

  B) terms {2x^2, -12x, 13}; coefficients {2, -12, 13}; constants {13}

Step-by-step explanation:

A) Using the distributive property, we get ...

  -2x +3 +2x^2 -10x +10

  = 2x^2 -12x +13

__

B) Terms: {2x^2, -12x, 13}

  Factors: There are no overall factors. Each term has factors ...

     2x^2 has factors {2, x, x}

     -12x has factors {-1, 2, 2, 3, x}

     13 has factors {1, 13} (it is prime)

  Coefficients: {2, -12, 13} . . . see note below

  Constants: {13}

_____

<em>Additional comment</em>

We have listed the prime factors of each term, any subset can be multiplied to be a factor of the term. For example, 2·3 = 6 is a factor of -12x.

Please note that some sources do not consider a constant (13) to be a coefficient. You will need to refer to your curriculum materials to see what your author says about that.

4 0
3 years ago
When a number x is multiplied by 6, the result is 3/8 . What is the value of x?
JulsSmile [24]
1/16 * 6 = 6/16 or reduced to 3/8
7 0
4 years ago
A wildfire is spreading at an alarming rate. The wildfire begins at a size of 8 square feet. It then doubles its width every x h
Mrac [35]

Answer:

D.

14000=8\times 2^{x+y}

Step-by-step explanation:

The wildfire begins at a size of 8 square feet

It means that initial area =8

It then doubles its width every x hours,

and doubles its length every y hours

so, we can set up equation

A(x,y)=8(2)^x\times (2)^y

now, we can simplify it

A(x,y)=8(2)^{x+y}

we are given

After a period of time, the wildfire covers 14,000 square feet

so, we can set A(x,y)=14000

we get

14000=8(2)^{x+y}

14000=8\times 2^{x+y}

7 0
3 years ago
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