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3 years ago

Find the measure of the angle ACD in the given figure???

Mathematics

1 answer:

Yuki888 [10]3 years ago

7 0

Answer:

∠ACD = 33.5°

Step-by-step explanation:

The arc length will be twice ∠ ABD,

∠ABD will equal ∠ACD because they subtend the same arc length.

3x + 7 = 2(2x - 6.5)

3x + 7 = 4x - 13

x = 20

∠ABD = (2(20) - 6.5) = 33.5

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Suppose "35" cars start at a car race. In how many ways can the top 3 cars finish the race?

Thepotemich [5.8K]

Answer:

The value is $\left 35 } \atop }} \right. P_3 = 39270$

Step-by-step explanation:

From the question we are told that

The total number of cars is $n = 35$

The number cars considered is $r = 3$

Generally the number of different top three finishes possible for this race of 35 cars is mathematically represented as

$\left n } \atop }} \right. P_r = \frac{n!}{(n - r) !}$

$\left 35 } \atop }} \right. P_3 = \frac{35! }{(35 - 3) !}$

$\left 35 } \atop }} \right. P_3 = \frac{35 * 34 * 33 * 32! }{32 !}$

$\left 35 } \atop }} \right. P_3 = 39270$

7 0

3 years ago

PLEASE HURRY!!! TIMED!!! Will give brainliest!! 70 POINTS!!!

Scorpion4ik [409]

Answer: First option.

Step-by-step explanation:

You know that the meaning of the symbol of the inequality "<" is: Less than.

So, you can check each option to find the number that could be a length of this piece of wood.

Given $w$ , you can substitute each number given in the options into this inequality. Then:

$1)\ w$

$2)\ w$

$3)\ w$

$4)\ w$

Therefore, a lenght of the piece of wood could be 4.5

6 0

3 years ago

Read 2 more answers

Latoya, Henry, and Manuel served a total of 112 orders Monday at the school cafeteria. Latoya served 7 more orders than Henry. M

Anarel [89]

Answer:

Henry: 21

Latoya: 28

Manuel = 63

Step-by-step explanation:

x = orders henry served

x + 7 = orders latoya served

3x = orders manuel served

x + (x + 7) + 3x = 112

5x + 7 = 112

5x = 105

x = 21

x + 7 = 21 + 7 = 28

3x = 3 * 21 = 63

5 0

4 years ago

Read 2 more answers

In triangle EFG , EF=FG . EF= 6X-10 , EG =2X+14, and FG =3X+11. find EF .

jarptica [38.1K]

Since EF=FG, you can set 6x - 10 = to 3x + 11

$6x -10 = 3x +11$

Then add like terms

$6x - 3x = 11+10$

so, $3x = 21$

Now you can divide by 3 to get $x = 7$ :)

then put it back into $6x - 10$

$6(7) - 10 = EF$

so, $EF = 32$

4 0

4 years ago

Help me pls (if you click there will be pic)

fredd [130]

Answer:

6u(chicken) +3u(pork)+9u(lamb)+4u(fish)+8u(steak)= 30u

100%-30u

10%-3u

30%-9u

Answer is 30%

6 0

2 years ago