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AleksAgata [21]
3 years ago
5

What is the missing step in this proof?

Mathematics
2 answers:
Valentin [98]3 years ago
6 0
The answer is the third choice..
Statement: Angle 1 and angle 4 are congruent, and angle 3 and angle 5 are congruent.
Reason: Alternate Interior Angles Theorem

Hope this helps!
Anestetic [448]3 years ago
5 0

Answer:

(C)

Step-by-step explanation:

Given: The ΔABC.

To prove: the sum of interior angles measures of ΔABC is 180°.

Proof:

Statement                                                            Reason

1. Let points A, B and C form a triangle             given

2. Let DE be a line passing       Defining a parallel line and labeling angles

through B and parallel to AC

with angles as labelled.

3. ∠1≅∠4 and ∠3≅∠5                Alternate interior angles theorem

4. m∠1=m∠4 and m∠3=m∠5    Congruent angles have equal measures

5.m∠4+m∠2+m∠5=180°         Angle addition and definition of straight line

6.m∠1+m∠2+m∠3=180°            Substitution

Hence proved

hence, option C is correct

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Help me with this please.
Ira Lisetskai [31]

Answer:

JL = 78

Step-by-step explanation:

MN is a midsegment. Based on the midsegment theorem,

MN = ½(JL)

MN = 5x - 16

JL = 4x + 34

Plug in the value

5x - 16 = ½(4x + 34)

5x - 16 = ½*4x + ½*34

5x - 16 = 2x + 17

Collect like terms

5x - 2x = 16 + 17

3x = 33

Divide both sides by 3

x = 11

✔️JL = 4x + 34

Plug in the value of x

JL = 4(11) + 34

JL = 44 + 34

JL = 78

5 0
3 years ago
darren has 3/4 of a gallon of soil.he needs to plant 5 small plants.if he splits the soil evenly between the plants.how much soi
nika2105 [10]

Number of plants = 5

Amount of soil present for 5 plants = 3/4 gallons

Now here we have to find how much soil will each plant get.

So we have to apply unitary method here to find how much would each plant get the share of soil.

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Soil required by 1 plant = 3/4 divided by 5 = 3/20 gallons

Answer: Each plant will get 3/20 gallons of soil.

7 0
3 years ago
Read 2 more answers
Which graph shows the rotation of the shape above, 90° counterclockwise about the origin?​
lara31 [8.8K]

Answer:

W

Step-by-step explanation:

the rule of a 90⁰ counterclockwise rotation is (x,y) -> (-y,x)

For example, if you rotated a point at (3,2) by 90⁰ counterclockwise. You would change it to (-2,3).

5 0
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nlexa [21]
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P=26000
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t=4000/125
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7 0
2 years ago
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