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Molodets [167]
2 years ago
12

Given the diagram below what is m d

Mathematics
2 answers:
maksim [4K]2 years ago
6 0

Answer:

72 degrees

Step-by-step explanation:

Not only is the trapezoid symmetric in this image, but you can find the sum of angles using 180(n-2), where n is the number of sides.

A trapezoid has 4 sides.

180(4-2) = 360

All the angles should add up to 360.

Then add and subtract.

360 - (108 + 108 + 72) = 72 degrees

This is a good way to check your answer.

Effectus [21]2 years ago
6 0

Answer:

it  is  72 degrees

Step-by-step explanation:

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10+22+34+...+422=S Help
Damm [24]

Answer:

46

Step-by-step explanation:

Its adding 12 each time

3 0
2 years ago
Which represents the value of Point on the number line?
melomori [17]

Answer:

c

Step-by-step explanation:

asdfghj

3 0
2 years ago
Rewrite 1 / 6 barrels over 2 over 5 hours as a unit rate
Akimi4 [234]

Answer:

5/12 barrel/hour

Step-by-step explanation:

 Type this as a fraction:

  (1/6) barrel

--------------------

  (2/5) hours

Division by 2/5 is equivalent to multiplication by 5/2:

1                5

--- barrel * -------------- = 5/12 barrel/hour

6                2  hours

Alternatively, this problem could be done using decimal fractions:

0.1667 barrel

-------------------- = 0.416666 barrel/hour  =  5/12 barrel/hour

0.4 hours

5 0
3 years ago
Use the Law of Cosines to find angle round to the nearest tenth if necessary).
ad-work [718]

Answer:

Step-by-step explanation:

3a)

find side HP  , let's set side HP = c in the law of cosines formula

then

c = sq rt [ 23^2 + 12^2 - 2*12*23*cos(117) ]

c = sq rt [ 529 + 144 - (-250.6027559) ]

c = sq rt [ 673 + 250.6027559 ]

c = sq rt [ 923.602755 ]

c = 30.39

then

HP = 30.4  ( rounded to nearest 10th )

3b)

let PR = c, then law of cosines is (we need angle Q also 180=24+97+Q is 59°

c = sq rt [ 9^2 + 22^2 - 2*9*22*cos(59) ]

c = sq rt [ 81 + 484 -396*0.5150380 ]

c = sq rt [ 565 - 203.955 ]

c = sq rt [ 391.04495]

c = 19.7748

PR = 19.8  ( rounded to nearest 10th )

3c)

they want us to find ∠B,   in the formula for cosines ∠B is really ∠C, it's a bit confusing.. I'm sure they did that on purpose to mess people up.  Kind of underhanded  :/    Tell the teacher that you're "appalled" at the deviousness of the test  :/   stage a protest against math that teaches treachery  :P  storm the principals/ dean's  office with paper airplanes and pictures of anime   :DDD  okay back to math.

a=28

b=17

c=15

since we want angle B then the formula looks like

B= arcCos ( a^2 + c^2 - b^2 / 2*a*c)  so we'll avoid messing up the which side is which ... by setting up the formula this way   .. got it?

B = arcCos [28^2 + 15^2 - 17^2 / 2*28*15]

B = arcCos[784 + 225 - 289 /840 ]

B = arcCos[720/ 840]

B = arcCos[0.85714285]

B = 31.0027 °

that it came out so close to an integer I'm pretty sure it's right

∠B = 31 .0 °  ( rounded to the nearest 10th )

3d)

find ∠A

set it up carefully again, they are asking us to move the variable around again

a = 18

b= 28

c= 12

then the formula looks like

∠A = arcCos[ b^2 + c^23 - a^2 / 2*b*c ]

∠A = arcCos[28^2 + 12^2 - 18^2 /2*28*12 ]

∠A = arcCos[784 + 144 -324 / 672 ]

∠A = arcCos[604/672]

∠A = arcCos[0.8988095]

∠A =25.99797 °

∠A =26.0 °  ( rounded to nearest 10th)

7 0
3 years ago
Family vacationers were surveyed at a rest area in the Marion County Test Ares, 1-75
yuradex [85]

Answer:

84

Step-by-step explanation:

From the table Given, the number of families who listen to pop music on radio could be obtained by taking n(pop n radio) ; that is the intersection of pop and radio on the table, this value is 84.

Therefore, the number of families who listen to pop music on radio is 84

5 0
3 years ago
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