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KonstantinChe [14]
3 years ago
13

1.) Prove that triangles ABC and EDC are congruent.

Mathematics
2 answers:
sleet_krkn [62]3 years ago
6 0
I wrote my STATEMENTS and REASONS as follows:
STATEMENT: 1. Line segments AE & DB intersect at C.
REASON: 1. Given.
STATEMENT: 2. Line segments AC & EC are congruent.
REASON: 2. Given.
STATEMENT: 3. Line segments BC & DC are congruent.
REASON: 3. Given.
STATEMENT: 4. Angles ACB & ECD are congruent.
REASON: 4. Vertical angles are congruent (Theorem) VERTICALLY OPPOSITE ANGLES ARE EQUAL..THAT IS THE CORRECT STATEMENT.
STATEMENT: 5. Triangles ABC & EDC are congruent.
REASON: 5. (SSS are congruent to SSS). If three sides of one triangle are congruent, respectively, to three sides of a second triangle, then the triangles are congruent. (Postualte) ...NO THEOREM IS SAS..2 SIDES AND INCLUDED REPEAT INCLUDED ANGLES ARE EQUAL RESPECTIVELY THE CORRESPONDING SIDES AND INCLUDED ANGLE , THEN THE 2 TRIANGLES ARE CONGRUENT.
I'm not sure if Step 4 is correct or if I can even write that statement.IT IS OK BUT FOR THE SLIGHT MODIFICATION SUGGESTED.
REASON 5 IS TO BE CHANGED AS GIVEN .
Simora [160]3 years ago
3 0
C is the answer of number one
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Complete the statement with &lt;, &gt;, or =.<br> 5/5 ____ 1
stiks02 [169]
The answer is =
Any number divided by itself = 1
4 0
3 years ago
In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ. Is this information sufficient to prove triangles DEF a
kenny6666 [7]

In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ; this is not sufficient to prove triangles DEF and OPQ congruent through SAS

<h3>What are congruent triangles?</h3>

Two triangles are said to be congruent if they have the same shape, all their corresponding angles as well as sides must also be congruent to each other.

Two triangles are congruent using the side - angle - side congruency if two sides and an included angle of one triangle is congruent to that of another triangle.

In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ; this is not sufficient to prove triangles DEF and OPQ congruent through SAS

Find out more on congruent triangle at: brainly.com/question/1675117

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8 0
1 year ago
Recall that the volume of a sphere is given by the formula V = 4/3pi to the 3rd
Kisachek [45]

9514 1404 393

Answer:

  1. (256/3)π ft³

  2. 33.49 ft³

Step-by-step explanation:

1. Put 4 ft into the formula where r is, then simplify.

  V = (4/3)π(4 ft)³ = (256/3)π ft³

__

2. The radius is half the diameter, so is 2 ft. Put that in the formula, along with the value for π, and do the arithmetic.

  V = (4/3)(3.14)(2 ft)³ ≈ 33.49 ft³

4 0
2 years ago
Select the answer choice that is equivalent to the expression given belon.
uranmaximum [27]

Answer:

23x - 10

Step-by-step explanation:

To the find the equivalent of 9(2x - 3) + 5x + 17, evaluate the expression. Start by opening the bracket.

9*2x - 9*3 + 5x + 17

18x - 27 + 5x + 17

Pair like terms

18x + 5x - 27 + 17

23x - 10

The equivalent of 9(2x - 3) + 5x + 17 is 23x - 10

6 0
3 years ago
If anyone could help me, it would be greatly appreciated!
Sav [38]

Answer: x=65^{\circ}, y=65^{\circ}, z=65^{\circ}

Step-by-step explanation:

All radii of a circle are congruent, so by the base angles theorem

  • z = y = (180-50)/2 = 65.

Also, angles x and y are inscribed in the same arc, and they are thus congruent, meaning x = 65.

7 0
1 year ago
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