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2 years ago

Find the measure of ∠ABC. Show your work.

Mathematics

2 answers:

tatuchka [14]2 years ago

7 0

Answer:

∠ ABC = 96°

Step-by-step explanation:

The measure of the inscribed angle ABC is one half the measure of its intercepted arc, that is

∠ ABC = 0.5 × 192° = 96°

Dmitry [639]2 years ago

7 0

Answer:

∠ ABC = 96°

Step-by-step explanation:

The measure of the angle is one half of the measure of the whole arc. So it would equal 192° times 1/2 which equals 96°

∠ABC = 0.5 × 192° = 96°

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Mia had $500 in her account after 5 years. If she got an

irina [24]

Answer:

The initial amount in the account is $333.33

Step-by-step explanation:

Here, we want to calculate the initial amount in the account.

Let the initial amount be $x

Mathematically;

Simple interest = PRT/100

where P is the amount deposited = $x

R is the rate = 10%

T is the time = 5 years

Simple interest = Present amount - Principal = $(500-x)

By substituting;

500-x = (x * 10 * 5)/100

100(500-x) = 50x

50,000 - 100x = 50x

50,000 = 100x + 50x

150x = 50,000

x = 50,000/150

x = 333.33333333

Which to the nearest penny ; x = $333.33

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2 years ago

“Seven less than a number squared”

Arte-miy333 [17]

Answer:

7-x^2

Step-by-step explanation:

8 0

2 years ago

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if alpha and beta are the zeroes of the polynomial f(x) = 6x² + x - 2, find the value of 1/alpha + 1/beta - alphabeta

finlep [7]

Answer:

let alpha be x and beta be y

Step-by-step explanation:

x+y= -b/a

x+y=-1/6

and xy= c/a

xy= -1/3

according to question

1/x+1/y -xy =(x+y)/xy-xy

(-1/6)/(-1/3)-(-1/3)

1/2+1/3

the answer is 5/6

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2 years ago

If triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees, where will point A' lie?

Ronch [10]

Given that ABC is a triangle and is reflected over the y - axis, reflected over the x - axis and rotated 180°

We need to determine the coordinates of the point A'

Reflection over the y - axis:

The coordinates of the point A is (-2,1)

The transformation rule to reflect across the y - axis is $(x,y)\rightarrow (-x,y)$

Substituting the point (-2,1) in the rule, we get;

$(-2,1)\rightarrow (2,1)$

Thus, the coordinates of the point A after reflection over the y - axis is (2,1)

Reflection over the x - axis:

The transformation rule to reflect across the x - axis is $(x,y)\rightarrow (x,-y)$

Substituting the point (2,1) in the rule, we get;

$(2,1)\rightarrow (2,-1)$

Thus, the coordinates of the point A after reflection over the x - axis is (2,-1)

Rotation about 180°:

The transformation rule to rotate about 180° is $(x,y)\rightarrow (-x,-y)$

Substituting the point (2,-1) in the rule, we get;

$(2,-1)\rightarrow (-2,1)$

Thus, the coordinates of the point A after the rotation about 180° is (-2,1)

Therefore, the coordinates of the point A' is (-2,1)

Hence, Option B is the correct answer.

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3 years ago

How do I find the Greatest common factor??

Agata [3.3K]

Answer:

1. List the prime factors of each number

2. Multiply those factors both factors have in common. If there are no common prime factors the GCF is 1.

Step-by-step explanation:

Use the factor tree method

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3 years ago

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