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Art [367]
3 years ago
10

PLEASE HELP!! URGENT!! i will mark brainliest if its right!! In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and DF ≅ BD. Point C is

the point of intersection between AG and BD while point E is the point of intersection between AG and DF. Prove ΔABC ≅ ΔGFE.

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

Answer:

See below.

Step-by-step explanation:

This is how you prove it.

<B and <F are given as congruent.

This is 1 pair of congruent angles for triangles ABC and GFE.

<DEC and <DCE are given as congruent.

Using vertical angles and substitution of transitivity of congruence of angles, show that angles ACB and GEF are congruent.

This is 1 pair of congruent angles for triangles ABC and GFE.

Now you need another side to do either AAS or ASA.

Look at triangle DCE. Using the fact that angles DEC and DCE are congruent, opposite sides are congruent, so segments DC and DE are congruent. You are told segments DF and BD are congruent. Using segment addition postulate and substitution, show that segments CB and EF are congruent.

Now you have 1 pair of included sides congruent ABC and GFE.

Now using ASA, you prove triangles ABC and GFE congruent.

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Help please :c!
LUCKY_DIMON [66]

Answer:

see the procedure

Step-by-step explanation:

we know that

m∠1+m∠2=180° -----> supplementary angles (form a linear pair)

we have

m∠1=27° ----> given problem

substitute the measure of m∠1 in the equation above and solve for m∠2

27°+m∠2=180°

Subtract 27° both sides

27°+m∠2-27°=180°-27° ----> by subtraction property of equality

m∠2=153°

4 0
3 years ago
Witch method can be used to find the area of the composite shape?
Setler79 [48]
No idea because there is no image
6 0
3 years ago
Lindsay opened a lemonade stand on her street. It costs her $15.00 to buy the supplies each day, and she sells lemonade for $2.0
faust18 [17]

Answer:

83

Step-by-step explanation:

2x83=166-15

6 0
3 years ago
Susan owns a home that is worth $128,318.74, a 2005 truck worth $10,615.00, and has investments that total $4,459.16. Susan owes
allochka39001 [22]

Answer:

Net worth is defined as:

Assets - Liabilities.

Assets are what you own.

Liabilities are what you have to pay.

So, home + truck + investments are assets.

Likewise, mortgage + student loans + credit cards are liabilities.

Doing the math, Susan's net worth is

Assets - Liabilities

$143,392.90 - $98,077.12 =

$45,315.78

Susan's net worth is $45,315.78

Good luck!

5 0
3 years ago
A 15 ft. telephone pole has a wire that extends from the top of the pole to the ground. The wire and the ground form a 42° angle
Lorico [155]

Answer:

Correct choice is A

Step-by-step explanation:

Consider right triangle ABC formed by the telephone pole (side AB) and ground (side BC). In this triangle AC is the length of the wire, BC is the distance from the base of the pole to the spot where the wire touches the ground and AB=15 ft, ∠ACB=42°.

Then

  • \sin 42^{\circ}=\dfrac{AB}{AC}\Rightarrow AC=\dfrac{AB}{\sin 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 22.4\ ft.
  • \tan 42^{\circ}=\dfrac{AB}{BC}\Rightarrow BC=\dfrac{AB}{\tan 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 16.7\ ft.

8 0
3 years ago
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