MATHEMATICS MIDDLE SCHOOL

If arc AD = 130° and arc AB = arc CD = 80°, what is the measure of ∠APD?

Answers

Answer 1

Answer:

Answer:

(B)

Step-by-step explanation:

Given: It is given that arc AD=130° and arc AB=arc CD=80°.

To find: The measure of ∠APD.

Solution: It is given that arc AD=130°⇒m∠AOD=130° (The measure of the central angel is equal to the intercepted arc)

Also, arc AB=arc CD=80°⇒m∠AOB=m∠DOC=80° (The measure of the central angel is equal to the intercepted arc)

We know that the sum of the central angles is equal to 360°, thus

m∠AOD+m∠AOB+m∠BOC+m∠COD=360°

⇒130°+80°+m∠BOC+80°=360°

⇒290°+m∠BOC=360°

⇒m∠BOC=360°-290°

⇒m∠BOC=70°

Now, since (The measure of the central angel is equal to the intercepted arc), therefore arcBC=70°.

Also, we know that Angle Formed by Two Secants is half of the DIFFERENCE of Intercepted Arcs, therefore

$m{\angle}APD=(1)/(2) (arcAD-arBC)$

Substituting the values, we get

$m{\angle}APD=(1)/(2) (130-70)$

⇒ $m{\angle}APD=(60)/(2)$

⇒ $m{\angle}APD=30^(\circ)$

Thus, the measure of ∠APD is 30°.

Hence, option B is correct.

Answer 2

Answer:

Answer:

the answer is 25

Step-by-step explanation:

1/2(130-80)

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A Sports arena covers 710,430 square feet of ground. A newspaper reported that the arena covers about 700,000 square feet of ground. To what place value was the number rounded?

Answers

Answer:

The number was rounded to the nearest ten thousand.

Step-by-step explanation:

In situations when you don't need an exact result, you can round numbers. When you round numbers, you always round to a particular place value, such as the nearest ten thousand. If you round up or down it usually depends on which number is closest to your original number. When a number is exactly between two possible numbers, it is rounded to the largest number.

Rounding 710,430 to 700,000 means doing so to the nearest ten thousand.

In this case there was a reduction of 10,430 (710,430 - 700,000) because 10,430 is less than half of 100,000.

Hope this helps!

It was rounded to the nearest Ten thousands.(710,430)

Hope i helped!!!!:D

98, 100, 65, 78, 98, 46, 100, 100, 45, and 50

Answers

Answer:

ok but whats the question

Step-by-step explanation:

Answer:

what is the question

Step-by-step explanation:

On a coordinate plane, triangle A B C has points (negative 3, negative 1), (negative 2, negative 3), (2, negative 1).Triangle ABC is reflected over the line y = 1. What are the coordinates of B’?

(–2, 3)
(–2, 5)
(2, –3)
(4, –3)