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Elina [12.6K]
4 years ago
6

What is the measure of

Mathematics
1 answer:
Maurinko [17]4 years ago
8 0

Answer:

x= 78

Step-by-step explanation:

Focus on the blue traingle:

∠BHI= 180° -47° -31° (∠sum of triangle)

∠BHI= 102°

x°= 180° -102° (adj. ∠s on a str. line)

x°= 78°

x= 78

<u>Alternatively</u><u>,</u>

x°= 47° +31° (ext. ∠ of triangle)

x°= 78°

x= 78

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Step-by-step explanation:

do you need graph paper?

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How many sides do 5 hexagons and 4 heptagons have in all?
inessss [21]
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jenyasd209 [6]

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Step-by-step explanation:

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3 years ago
The area of a living room is 180 square feet and the perimeter is 54 feet. What are the dimensions in feet?
erastovalidia [21]

Answer:

12 feet and 15 feet

Step-by-step explanation:

perimeter = p

perimeter of a rectangle= 2*L +2*w

area of a rectangle = L*w

w= width

L = length

the statement tell us:

area = 180 square feet = area of  a rectangle

p = 54 feet

so we have:

180= L*w             equation 1

54 = 2*L +2*w     equation 2

using equation 2 we have:

2L = 54 -2w      

L= (54-2w)/2

L = 27 - w      equation 3

using equation 3 in equation 1 we have:

180= (27 - w) * w

180 = 27w -w^2

w^2 -27w +180=0

using quadratic equation : ax^2 + bx +c =0

with a= 1  b= -27  c= 180    

we have:

w = 12 feet = width

L = 27 - 12 = 15 feet = length

the dimensions are 12 feet and 15 feet

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3 years ago
Which can the medians of a triangle intersect- 1. inside the triangle 2. on the triangle 3 outside the triangle
kirill115 [55]

Answer:

  1.  inside the triangle

Step-by-step explanation:

Except for their endpoints, all the points of every median are inside the triangle. The endpoints of each median are different from those of any other, so there will be no point of intersection there.

The medians can only intersect <em>inside the triangle</em>.

4 0
4 years ago
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