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zlopas [31]
3 years ago
6

Please help me with this question fast.

Mathematics
1 answer:
Sedbober [7]3 years ago
6 0

Answer: 20

Step-by-step explanation: In this problem, we're given a diagram and we're asked to find the value of <em>x</em>. Since the two lines in the figure intersect, we know that they form vertical angles and remember that vertical angles are <u>always</u> congruent.

Therefore, since we know that one angle measures 60° and the other angle measures (2x + 20)°, we can setup the equation 60 = 2x + 20.

Solving from here, we subtract 20 from both sides to get

40 = 2x  and dividing both sides by 2, <em>20 = x</em>.

So the value of <em>x</em> is 20.

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Answer:

See explanation

Step-by-step explanation:

Consider two triangles ABF and EDF. These triangles are two right triangles, because angles B and D are right anges.

In these triangles,

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  • BF ≅ FE - given;
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By ASA postulate (or HA postulate) these triangles are congruent, so

ΔABF ≅ ΔEDF

Congruent triangles have congruent corresponding parts, so

FA ≅ EF

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x¹ = -2 x² = -8

y¹ = -1 y² = 12

Using midpoint formula,

M = ( x¹ + x²/2 ,y¹ + ý²/2)

or,M ={ -2+(-8)/2 , (-1) +12/2}

or, =( -10/2 , 11/2)

:M = ( -5 , 11/2)

6 0
3 years ago
Adrian jogs 3/4 mile each morning how many days will take to jog 3 miles
lbvjy [14]
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Given Information
----------------------------------------------------------------
Adrian can run 3/4 mile in 1 morning.

----------------------------------------------------------------
Find how long he needs to run 1 mile
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3/4 miles = 1 morning 

[ Divide by 3/4 on both side ]
3/4 ÷ 3/4 miles = 1 ÷ 3/4

1 miles = 4/3 morning

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Find how long he needs to take to run 3 miles
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1 miles = 4/3 morning

[ multiply by 3 through ]
3 miles = 4/3 x 3 
3 miles = 4 mornings 

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Answer : 4 mornings
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