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Kryger [21]
3 years ago
10

in circle O, AD and BE are diameters. the measure of arc AB is 55 and the measure of arc CD is 25 what is the measure of EAC

Mathematics
2 answers:
kicyunya [14]3 years ago
5 0

280 please just trust me, its 280

inn [45]3 years ago
5 0

Answer:

arc EAC = 280 degrees

Step-by-step explanation:

Given: the measure of arc AB is 55  and the measure of arc CD is 25

Vertical angles are equal so <AOB = <DOE = 55

In a circle, the degree measure of an arc is equal to the measure of the central angle.

so if <DOE = 55 then arc DE = 55

As you know, the arc angle to a full angle in a circle = 360

so

arc EAC = 360 - arc CD - arc DE

arc EAC = 360 - 55 - 25

arc EAC = 280

Answer:

arc EAC = 280 degrees

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Write an exponential function y = ab" whose graph passes through (2,12) and (5,96).
motikmotik

Answer:

y = 3(2)^{x}

Step-by-step explanation:

Substitute the given points into the function and solve for a and b

Using (2, 12)

12 = ab² → (1)

Using (5, 96)

96 = ab^{5} → (2)

Divide (2) by (1)

\frac{ab^5}{ab^2} = \frac{96}{12} , that is

b³ = 8 ( take the cube root of both sides )

b = \sqrt[3]{8} = 2

Substitute b = 2 into (1) and solve for a

12 = a2² = 4a ( divide both sides by 4 )

3 = a

Thus

y = 3(2)^{x} ← is the exponential function

3 0
3 years ago
a scientist is running a simulation of a hypothetical city since she wants to explore its environmental impact over time the cit
Rus_ich [418]
I have no clue if this is correct but the answer I got was 10,260,000
3 0
3 years ago
Read 2 more answers
Solve for x in triangle
fenix001 [56]
X=60degrees

bc you find 180-125 bc it is a straight angle. You get 55 degrees. Then you add 65+55=120. 180-120=60 degrees. This is because every triangle must have a sum of angles that equals 180 degrees.

Hope this helps.
7 0
2 years ago
What is the perimeter of a polygon with verticals at (-1, 3) , (-1, 6) , (2, 10) , (5, 6) , and (5, 3)
Marat540 [252]

Answer:

22 units

Step-by-step explanation:

The perimeter of a polygon is said to be the sum of the length of it's sides.

From the question, we have 5 vertices. This means the polygon is a pentagon. It's given vertices are

A = (−1, 3)

B = (−1, 6) ​

C = (2, 10)

D = (5, 6) ​​

E = (5, 3) ​

To find the distance between two points, we use the formula

d = √[(y2 - y1)² + (x2 - x1)²]

Between A and B, we have

d(ab) = √[(6 - 3)² + (-1 --1)²]

d(ab) = √(3²) + 0

d(ab) = √9 = 3

Between B and C, we have

d(bc) = √[(10 - 6)² + (2 --1)²]

d(bc) = √[4² + 3²]

d(bc) = √(16 + 9) = √25 = 5

Between C and D, we have

d(cd) = √[(6 - 10)² + (5 - 2)²]

d(cd) = √[(-4)² + 3²]

d(cd) = √(16 + 9) = √25 = 5

Between D and E, we have

d(de) = √[(3 - 6)² + (5 - 5)²]

d(de) = √(-3)² + 0

d(de) = √9 = 3

Between E and A, we have

d(ea) = √[(3 - 3)² + (5 --1)²]

d(ea) = √[0 + (6)²]

d(ea) = √36 = 6

The perimeter is given as

d(ab) + d(bc) + d(cd) + d(de) + d(ea) =

3 + 5 + 5 + 3 + 6 = 22 units

7 0
2 years ago
Direct Variation.<br>¯\_(ツ)_/¯
Alekssandra [29.7K]

Answer:

y = 1/6

Step-by-step explanation:

direct variation

y =kx

substitute in what we know to find k

1/2 = k*3

solve for k

divide by 3

1/2 /3 = k

1/6 = k

substitute k into the direct variation equation

y = 1/6 x

let x = 1

y = 1/6 *1

y = 1/6

5 0
3 years ago
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