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sweet-ann [11.9K]
3 years ago
10

What is the measure of ABC?

Mathematics
1 answer:
Viefleur [7K]3 years ago
5 0

Answer:

63

Step-by-step explanation:

Hi there!

In order to find the answer to this question we must know about:

The angles of intersecting chords theorem

The theorem states that if two chords intersect the angles formed at the intersection is equal to half the sum of its intercepted arc and it's vertical angle's intercepted arc.

Angle ABC is formed by intersecting chords meaning that the measure of angle ABC is equal to half the sum of its intercepted arc + it's vertical angle's intercepted arc ( angle ABC vertical angle is angle EBD. Angle EBD's intercepting arc is arc ED. )

Angle ABC intercepted arc is AC

Hence Angle ABC = 1/2 ( arc AC + arc ED)

Arc ED = 44 and arc AC = 82

Thus, angle ABC = 1/2(82 + 44)

82 + 44 = 126

126/2=63

Hence Angle ABC = 63

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Olivia ordered cupcakes and a layer cake. Together she paid $52. She paid $12 more on the layer cake than on the cupcakes. What
Oksi-84 [34.3K]

Hey there!!

The total cost is $52.

She paid $12 more for the layer cake than the cupcake.

Let's take the price of the cupcake as $x. Then, the price of the layer cake would be $12 + x

The sum of these would result in $52.

... x + x + 12 = 52

... 2x + 12 = 52

... 2x = 52 - 12

... 2x = 40

... x = 20

Hence, the price of the cupcake is $20 and the price of the layer cake is $32.

Hope my answer helps!!


5 0
3 years ago
Help with this I don't know how to solve
Hunter-Best [27]

Answer:

86.53

Step-by-step explanation:

Area of Triangle Formula: A = 1/2bh

Pythagorean Theorem: a² + b² = c²

Step 1: Draw altitude and label numbers

If we draw a line down the middle, we can see that we get a perpendicular bisector and that we get 2 right triangles with a hypotenuse of 29 and a leg of 3. We need to find <em>h</em> using Pythagorean Theorem in order to use area formula:

3² + b² = 29²

b² = 29² - 3²

b = √832 = h

Step 2: Plug in known variables into area formula:

A = 1/2(√832)(6)

A = 3√832

A = 86.5332

7 0
3 years ago
Laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light
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Answer:

I believe it's the 1st one.

HOPE IT HELPS! BE SAFE :3

4 0
2 years ago
Jordan bought 9/16 of a proud of sunflower seeds and divided and them evenly into 9 snack bags for his lunch. What is the weight
stepladder [879]

Answer:

The weight of sunflower seeds in each snack bag is 1/16 of a pound

Step-by-step explanation:

Here, we want to know the weight of sunflower seeds in each snack bag.

The total weight bought is 9/16 pound and the division is into 9 bags

So the weight of the individual bags will be ;

9/16 divided by 9

= 9/16 * 1/9 = 1/16

5 0
3 years ago
Hayden uses 3 cups of water to make a broth for soup.He uses 3 times as many cups of milk how many fluid ounces of broth does ha
Novosadov [1.4K]

Answer:

6

Step-by-step explanation:

Hayden uses 3 cups of water to make a broth for soup

He uses 3 times as many cups of milk

Therefore the number of broth ounces made by Hayden can be calculated as follows

= 3+3

= 6

8 0
3 years ago
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