Please answer! will give 5 stars, brainliest (if two people answer.), 20 pts, and thanks.

Mathematics

1 answer:

Charra [1.4K]2 years ago

3 0

Answer:

Step-by-step explanation:

Angle 2 and 4 are supplementary, so if angle 4 is 123, then 180-123=57.

So angle 2 is 57.

Then, if angle 2 and 3 are 57 and we know that all angles of a triangle have to add up to 180, then:

57+57+angle 1=180

114+ angle 1=180

angle 1= 66

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Megan picks a card from a deck of cards numbered 1-10 and rolls a number cube. What is the probability she chooses a card with a

ehidna [41]

Answer:

1/20 if there is only those 10 cards in a deck and 1/26 if there is 52 cards in the deck.

Step-by-step explanation:

There is 3/6 chances to roll a die with an even number, aka 1/2. If there are only 10 cards in the deck and only one of them has the number 5, it's 1/10. To find the probability of both these things happening, multiply the probabilities. 1/10 x 1/2 is equal to 1/20. However, since the question doesn't specify if there is 52 cards like a normal deck and 4 5's etc, there can be a different answer because if there's 52 cards in a deck, 4 of them 5's, the chance of getting a 5 is 4/52 or 1/13 and then you multiply that by 1/2 to get 1/26

4 0

3 years ago

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What is the approximate area of the shaded portion of the diagram? (Use 3.14 as an estimate for pi.)

Nadusha1986 [10]

Answer:

218

Step-by-step explanation:

first find the area of the circle-

$A=\pi r^{2} \\A=\pi 10^{2} \\A=100\pi \\A=314$

to find the area of the triangle, we need the base and the height. The base we know is 16, since we don't know the height yet, use the Pythagorean theorem to find the height. One leg is 16 the hypotenuse is 20 (2* the radius).

$a^{2} +b^{2} =c^{2} \\a^{2} +16^{2} =20^{2} \\a^{2} +256=400\\a^{2} =144\\a=12$

Now I know the height is 12. Find the area of the triangle

$A=\frac{1}{2} bh\\A=\frac{1}{2} (16)(20)\\A=96$

subtract the area of the triangle from the area of the circle

314-96=218

6 0

2 years ago

What is the length of AC?

Elan Coil [88]

well, the triangle is an isosceles, so it twin sides, and the twin sides make twin angles, as we see by the tickmarks on A and C, meaning AB = BC.

$\bf x+4=3x-8\implies 4=2x-8\implies 12=2x\implies \cfrac{12}{2}=x\implies 6=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ AC\implies x+4\implies 6+4\implies 10$