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Jlenok [28]
1 year ago
7

Analyze the diagram below and complete the instructions that follow.

Mathematics
1 answer:
steposvetlana [31]1 year ago
5 0

Answer:

71°

Step-by-step explanation:

  • 84+(2x-1)+(x+8)+(x+5)=360 [angles in a quadrilateral add to 360°]
  • 4x+96=360 [combine like terms]
  • 4x=264 [subtract 96 from both sides]
  • x=66 [divide both sides by 4]

So, angle A measures 66+5=71°

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In the kite, the orange diagonal is 10 units and the purple diagonal is 14 units. What is the area of the kite?
Vlada [557]

Answer: 70 square units

Step-by-step explanation:

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10 * 14 = 140

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3 0
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1.3 to the second power
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ou live in the building on the left in the drawing, and a friend lives in the other building. the two of you are having a discus
Alenkinab [10]

Answer:

1.3

Friend is wrong

Step-by-step explanation:

Given:

friend's claim: height of his building is more than 1.50 times the height of yours

line of sight to the top edge of the other building makes an angle of 21° above the horizontal

line of sight to the base of the other building makes an angle of 52° below the horizontal

Solution:

Let A be the height of your building is A

Let B+A his building is B higher than yours.

Let the distance between the buildings is x.  

then

tan 52 = A/x

tan 21 = B/x  

A/B = tan 52 / tan 21

      =  1.27994 / 0.38386

A/B = 3.33

(A + B) / A = 1.5 0

A/A + B/A = 1.50

1 + B/A = 1.50

B/A is basically (B/x) / (A/x)

So

1+ 3.33 / 3.33

= 4.33/3.33

= 1.3

Since 1.3 is not equal to 1.5

Hence the friend's claim is wrong.

5 0
3 years ago
Solve x^2 - 13x + 40 = 0​
hodyreva [135]

Answer:

(x-8)(x-5)

Step-by-step explanation:

The only way to solve this equation is to factor it. You would have to use the sum and product rule.

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3 years ago
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