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3 years ago

Given: Ray BC bisects angle ABD.

Mathematics

2 answers:

hjlf3 years ago

8 0

Answer: C) ∠ABC & ∠DBC

Step-by-step explanation:

When a ray bisect an angle , then it divided the original angle into two congruent angles.

We are given that Ray BC bisects angle ABD.

Then, Ray BC divides ∠ABD into two congruent angles.

From the picture, The angle formed by it : ∠ABC & ∠DBC

So ∠ABC & ∠DBC must be congruent.

Hence, the pair of angles must be congruent : ∠ABC & ∠DBC

natita [175]3 years ago

4 0

Congruent is the same size and same shape. When a ray bisects an angle, the two newly created angles will be congruent, since the ray went right in the middle of the first angle (so in this case, ABC and DBC will be congruent)

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Steve sells half of his comic books and then buys 6 more now he has 14 comic books

ddd [48]

Let b be the initial amount of books. Steve sells half of his books, so the number of Steve's books become

$b \to \dfrac{b}{2}$

Then, he buys 6 more, so the number increases by 6:

$\dfrac{b}{2} \to \dfrac{b}{2}+6$

This number is now 14, so you have

$\dfrac{b}{2}+6 = 14$

Subtract 6 from both sides:

$\dfrac{b}{2} = 8$

Multiply both sides by 2:

$b = 16$

4 0

3 years ago

Read 2 more answers

Solve for x in the given interval.

Nat2105 [25]

Answer:

7pi/2

Step-by-step explanation:

Given the expression cosec x = -1

I'm trigonometry csecx = 1/sinx

The equation becomes

1/sin(x) = -1

Sinx = -1

x = arcsin(-1)

x = -90°

x is negative in the third and 4th interval

Third interval;

x = 180+90

x = 270°

x = 3pi/2

Since the angle should be within 3pi < x < 4pi

Add 2pi to the angle

x = 2pi+ 3pi/2

x = 7pi/2

Hence the required angle is 7pi/2

8 0

3 years ago

Best answer gets brainliest! What are some equivalent expressions of 6(m + 2 + 7m)?

bezimeni [28]

Answer:

See Explanation

Step-by-step explanation:

To write an equivalent expression, we can combine like terms. So m +7m is 8 and we get 6(8m+2).

Here are a few others:

48m+12

6(m+m+m+m+m+m+m+m+2)

3(16m+4)

6m+12+42m

6m+6m+6m+6m+6m+6m+6m+6m+2

and the list goes on...

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3 years ago

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What is the approximate circumference of a circle with a radius of 12 ft? Use 3.14 for pi?

Svetach [21]

Answer:

c = 75.4 ft

Step-by-step explanation:

I did this based on my math! Hope this helps!

6 0

3 years ago

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Oprah makes $156.00 per day plus an additional 8% commission on her sales. Which equation could be used to find how much Oprah m

Natasha_Volkova [10]

Answer:

The answer is C. 0.08x + $156.00 = r.

Step-by-step explanation:

Given:

Oprah makes $156.00 per day plus an additional 8% commission on her sales.

She sold x dollars worth.

Now, to find equation how much Oprah made in one day, r.

As. given in question:

She makes per day = $156.00.

Worth of sold = $x.$

Commision on her sales = 8%.

And one day = $r.$

Now, to get the equation Oprah made in one day:

$r=\$156.00+8\%\ of\ x.$

$r=\$156.00+\frac{8}{100} \times x$

$r=\$156.00+0.08\times x$

$r=\$156.00+0.08x$

$r=0.08x+\$156.00$

$0.08x+\$156.00=r$

Thus, the equation is $0.08x+\$156.00=r.$

Therefore, the answer is C. 0.08x + $156.00 = r.

5 0

3 years ago