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statuscvo [17]
3 years ago
8

In △ABC , m∠A=53°,m∠B=17°, and a=27. Find the perimeter of the triangle.

Mathematics
1 answer:
sdas [7]3 years ago
6 0
Using the Law of Sines  (sinA/a=sinB/b=sinC/c) and the fact that all triangles have a sum of 180° for their angles.

The third angle is C is 180-53-17=110°

27/sin53=b/sin17=c/sin110

b=27sin17/sin53, c=27sin110/sin53

And the perimeter is a+b+c so

p=27+27sin17/sin53+27sin110/sin53 units

p≈68.65 units  (to nearest hundredth of a unit)
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Need help with this problem:
Nitella [24]

Answer:

<em>Henson: 3x + y = 163</em>

<em>Garcia: 2x + 3y = 174</em>

<em>adult ticket price: $45</em>

<em>child ticket price: $28</em>

Step-by-step explanation:

Henson Family:

3 adults + 1 child; total $163

3x + y = 163

Garcia Family:

2 adults + 3 children; total $174

2x + 3y = 174

Now we solve the system of equations.

Solve the first equation (Henson Family) for y.

y = 163 - 3x

Substitute 163 - 3x for y in the second equation (Garcia Family).

2x + 3<em>y</em> = 174

2x + 3(<em>163 - 3x</em>) = 174

2x + 489 - 9x = 174

-7x + 489 = 174

-7x = -315

x = 45

Now substitute 45 for x in the first original equation and solve for y.

3x + y = 163

3(45) + y = 163

135 + y = 163

y = 28

adult ticket price: $45

child ticket price: $28

8 0
3 years ago
In the figure below, if BE is the perpendicular bisector of AD, what is the value of x?
dedylja [7]

Both sides would be the same, so set them to equal ans solve for x.


3x+4 = 2x +7

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Subtract 2x from each side:

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geniusboy [140]

Answer:

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Read 2 more answers
Copy and complete: b 7:8:9=__:12:_
kotykmax [81]

Answer:

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Step-by-step explanation:

7:8:9

We need to get 8 to 12

12/8 = 3/2

We need to multiply each number by 3/2

7 * 3/2:8* 3/2  :9*3/2

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10.5 : 12  : 13.5

7 0
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How is the product of 4 and 2 shown using integer tiles?
Alex
+ + + + + +
4 is positive or + and so is 2
hope it helps
8 0
3 years ago
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