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2 years ago

Angles related to a circle. Solve for x.

Mathematics

1 answer:

natka813 [3]2 years ago

7 0

The value of x from the given circle is 12

<h3>Circle theorem</h3>

Angle at the vertex of the circle is half the angle at its intercepted arc.

From the given circle;

The measure of <DEF = 80/2 = 4x -8

Equate both angles

4x - 8 = 80/2

Add 8 to both sides

4x - 8 + 8 = 40 + 8

4x = 48

x =12

Hence the value of x from the given circle is 12

Learn more on circle theorem here: brainly.com/question/26594685

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Describe the slope of these lines what do we call these lines?

zaharov [31]

Answer:

parallel lines

Step-by-step explanation:

the slope is 0

5 0

2 years ago

Keri has $30.67. She goes to Target and buys a pack of pencils for $2.38 and an eraser for 56 cents. How much money did Keri spe

AlekseyPX

Answer:

Keri spent $2.94 and Keri now has $27.73.

Step-by-step explanation:

$2.38+$0.56= $2.94

$30.67-$2.94=$27.73

6 0

3 years ago

Please help ASAP :) this is really easy ino lol

Zanzabum

Known :

Ratio = Greg : Harry = 1 : 3

Greg's money = £8

Asked :

Harry's money = ...?

Answer :

$\: \ \: \: \: \: \: \: \frac{1}{3} = \frac{greg}{harry} \\ \: \: \: \: \: \: \: \: \frac{1}{3} = \frac{8}{harry} \\ harry = \frac{3 \times 8}{1} \\ harry = 24$

So, Harry gets £24

Hope it helpful and useful :)

5 0

3 years ago

Can someone help me solve this?

Wittaler [7]

Answer:

∠ ABC = 22°

Step-by-step explanation:

OA = OB ( radii of circle )

Then Δ OAB is isosceles with base angles congruent , that is

∠ OBA = ∠ OAB = 17x

The sum of the 3 angles in the triangle sum to 180°

17x + 17x + 11x = 180

45x = 180 ( divide both sides by 45 )

x = 4

Then

∠ OBA = 17x = 17(4) = 68°

BC is a tangent so ∠ OBC = 90°

∠ ABC = 90° - ∠ OBA = 90° - 68° = 22°

7 0

2 years ago

A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactl

Andrew [12]

Answer: $\dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9}$ or $\dfrac{228}{91885}$ .

Step-by-step explanation:

Given : A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards.

The total number of cards in a deck 52

Number of faces cards in a deck = 12

Number of cards not face cards = 40

The total number of combinations of drawing 9 cards out of 52 cards = $^{52}C_9$

Now , the combination of 9 cards such that exactly 6 of them are face cards = $^{12}C_{6}\times^{40}C_3$

Now , the probability that the hand contains exactly 6 face cards will be :-

$\dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9}$

$=\dfrac{\dfrac{12!}{6!6!}\times\dfrac{40!}{3!37!}}{\dfrac{52!}{9!\times43!}}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{228}{91885}$

Hence, the probability that the hand contains exactly 6 face cards. is $\dfrac{228}{91885}$ .

6 0

3 years ago