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mezya [45]
3 years ago
13

The perimeter of a building is 78 feet. The width of the building is seven more than three times the length of the building. Wha

t is the width of the building? Solve algebraically Justify your answer using math vocabulary. MUST USE COMPLETE SENTENCES​
Mathematics
1 answer:
Alchen [17]3 years ago
8 0

P=2l+2w

W=7+3l

So substitute into the original equation

P=2l + 2(7+3l)

78=2l +14 + 6l

-14 -14

—————-

64=8l

8=length

W=7+3l

= 7+3(8)

=7+24

=31

Check your work

Perimeter=8+8+31+31

=78

Hope this helps

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A- CE=CD <br> B- CE = CA <br> C- BF=DF <br> D- DF=EF<br><br> please help!!
Oksana_A [137]

The perpendicular bisector theorem gives the statements that ensures

that \overleftrightarrow{FG} and \overleftrightarrow{AB} are perpendicular.

The two statements if true that guarantee  \overleftrightarrow{FG} is perpendicular to line \overleftrightarrow{AB} are;

  • \overline{CE} = \overline{CD}
  • \overline{DF} = \overline{EF}

Reasons:

The given diagram is the construction of the line \mathbf{\overleftrightarrow{FG}} perpendicular to line \mathbf{\overleftrightarrow{AB}}.

Required:

The two statements that guarantee that  \overleftrightarrow{FG} is perpendicular to line \overleftrightarrow{AB}.

Solution:

From the point <em>C</em> arcs <em>E</em> and <em>D</em> are drawn to cross line \overleftrightarrow{AB}, therefore;

\overline{CE} = \mathbf{\overline{CD}} arcs drawn from the same radius.

\overleftrightarrow{FG} is perpendicular to line \overleftrightarrow{AB}, given.

Therefore;

\overline{DF} = \overline{EF}  by perpendicular bisector theorem.

Learn more about the perpendicular bisector theorem here:

brainly.com/question/11357763

7 0
3 years ago
Write an equivalent expression for 2(x + 6) - 8
Dafna1 [17]
An equivalent expression would be 2x+4
4 0
3 years ago
PLSS HELP 20 POINTS!! Will mark branliest plssss
Sedbober [7]

Answer: the answer is 16

Step-by-step- explanation:

Since the two sides of a triangle must be greater than the third we can take the sum of two smallest sides and add them together to equal 92. Meaning the length of the longest side MUST BE 91 feet so the amount of the remaining rope would equal to 107-91 and that’s where we get 16

4 0
3 years ago
A cylinder has a radius of 8 meters and a height of 4 meters. .
Novay_Z [31]
<h2><u>Solution</u> :-</h2>

Given : Radius of cylinder = 8 m

Height = 4 m

Volume of cylinder = πr²h cu. units

= 22/7 × 8 × 8 × 4 m³

= 804.57 m³ (approx.)

Curved surface area = 2πrh sq. units

= 2 × 22/7 × 8 × 4 m²

= 201.14 m² (approx.)

Total surface area = 2πr(r + h) sq. units

= 2 × 22/7 × 8 (8 + 4) m²

= 2 × 22/7 × 8 × 12 m²

= 603.43 (approx.)

4 0
3 years ago
Choose the correct Triangle Congruence Theorem
Svetlanka [38]

Answer:

ASA

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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