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bonufazy [111]
3 years ago
15

one third of the people at a banquet ordered ice cream for dessert. the rest ordered pie. one forth of those requesting pie orde

red Apple pie. Of 180 people attended the Bouquet, how many orders apple pie
Mathematics
1 answer:
Vaselesa [24]3 years ago
6 0

Answer:

30 people ordered apple pie

Step-by-step explanation:

one third of the total people:

180/3 = 60

subtract the people who ordered ice cream, so that we have the total people who ordered pie:

180-60= 120

divide the total people by 4 to find the people who ordered apple pie

120/4 = 30

30 people ordered apple pie

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Anybody know!!!! SOS
ikadub [295]

Answer:

x = 50

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon of n sides is

(n - 2)180

This polygon is a quadrilateral with 4 sides. n = 4

(n - 2)180 = (4 - 2)180 = 2(180) = 360

The sum of the measures of the interior angles of the quadrilateral is 360 degrees.

We have angles of 110 deg, 2x deg, x + 10 deg, and 90 deg. We add their measures and set teh sum equal to 360. Then we solve for x.

x + 10 + 2x + 110 + 90 = 360

3x + 210 = 360

3x = 150

x = 50

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Verify the identity<br><br>​
Oxana [17]

Answer:

see below

Step-by-step explanation:

sin x                                 1

-------------------              = -----------

sec^2 x - tan ^2 x               csc x

Sec = 1/cos   and tan = sin/cos

sin x                                         1

-------------------                     = -----------

1/ cos ^2 x -sin^2/cos ^2 x       csc x

Factor the denominator

sin x                                         1

-------------------                     = -----------

(1-sin^2 x)/ cos ^2 x                csc x

We know that 1 - sin^2 x = cos ^2

sin x                                         1

-------------------                     = -----------

(cos^2 x)/ cos ^2 x                csc x

sin x                                         1

-------------------                     = -----------

1                                               csc x

Multiply the top and bottom of the left hand side by 1/ sin x

sin x  * 1/ sin x                              1

-------------------                     = -----------

1     * 1 sin x                             csc x

1                                                1

-------------------                     = -----------

       1 sin x                             csc x

We know that 1/sin x = csc

1                              1

---------               = -----------

csc (x)                   csc x

3 0
3 years ago
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