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Arlecino [84]
3 years ago
7

How do you solve this the 8 is for the whole base not just the right triangle just so you know

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
8 0
X = square root of 89
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Find the value of the variable.
nalin [4]

Answer:

The variable, y is 11°

Step-by-step explanation:

The given parameters are;

in triangle ΔABC;          {}              in triangle ΔFGH;

Segment \overline {AB} = 14         {}               Segment \overline {FG} = 14

Segment \overline {BC} = 27         {}              Segment \overline {GH} = 19

Segment \overline {AC} = 19         {}               Segment \overline {FH} = 2·y + 5

∡A = 32°                       {}                ∡G = 32°

∡A = ∠BAC which is the angle formed by segments \overline {AB} = 14 and \overline {AC} = 19

Therefore, segment \overline {BC} = 27, is the segment opposite to ∡A = 32°

Similarly, ∡G = ∠FGH which is the angle formed by segments \overline {FG} = 14 and \overline {GH} = 19

Therefore, segment \overline {FH} = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;

\overline {FH} ≅ \overline {BC} by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∴ \overline {FH} = \overline {BC} = 27° y definition of congruency

\overline {FH} = 2·y + 5 = 27° by transitive property

∴ 2·y + 5 = 27°

2·y = 27° - 5° = 22°

y = 22°/2 = 11°

The variable, y = 11°

8 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%2081" id="TexFormula1" title=" {x}^{2} + 81" alt=" {x}^{2} + 8
borishaifa [10]
X to the power of two+81
5 0
2 years ago
What is the average daily balance for the February 1-28 billing period in the table?​
givi [52]
I think it’s 311.75?
i added the closing balances and divided by the 4 selected days

either that or 44.54 if you divide by 28 days of February instead…

i might be wrong though
6 0
1 year ago
Which of the following is equivalent to 2x+3y=6
valentina_108 [34]

Answer:

A. y = -2/3x + 2

Step-by-step explanation:

Your is to isolate the y. The first thing you would do is subtract the 2x,

2x + 3y = 6

-2x        =

3y = -2x +6

then to isolate the ,y, you would next divide everything by 3, so that the ,y, stays by itself.

3y/3 = -2x/3 +6/3

Simplify,

y = -2/3x + 2

5 0
3 years ago
Perimeter is a square clock is 16 6/9 inches. Perimeter of a rectangular clock is 16 16/18 inches. Write an inequality comparing
worty [1.4K]
<span>16 6/9 inches < 16 16/18 inches or Perimeter of square clock < Perimeter of rectangular clock First we would put convert the perimeter fractions into equivalent terms. So for the square clock, 16 6/9 inches becomes 16 12/18 inches (multiplying the fraction by 2/2). Now it is obvious that that the square clock at 16 12/18 inches has a smaller perimeter than the rectangular clock with a perimeter of 16 16/18 inches.</span>
4 0
3 years ago
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