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Salsk061 [2.6K]
1 year ago
5

SELECT THE CORRECT ANSWER. GIVEN: LINE L AND LINE M INTERSECT PROVE: ∠⁢1≅ ∠⁢3 . ∠⁢1IS SUPPLEMENTARY TO ∠⁢4 3. LINEAR PAIR THEORE

M M∠⁢1+M∠⁢2=180∘ 3. DEFINITION OF SUPPLEMENTARY ANGLES .M∠1+M∠3=180∘ 3. DEFINITION OF SUPPLEMENTARY ANGLES ∠3IS SUPPLEMENTARY TO ∠2 3. LINEAR PAIR THEOREM
Mathematics
1 answer:
olga55 [171]1 year ago
6 0

The missing reasons are;

Definition of linear pair.

Definition of supplementary angles.

Substitution.

Subtraction property of equality.

Definition of congruence.

<h3>What is the Angle proof?</h3>

The angles are supplementary because the angles 1 and 2, 2 and 3 form a linear pair and thus because of the definition of linear pair, they are supplementary angles.

The sum of angles of 1 and 2, 2 and 3 is equal to 180 because these pair of angles are supplementary angles. Supplementary angles are those angles whose sum is 180 degrees.

Reason 5:

m∠1 + m∠2 = 180°

m∠2 + m∠3 = 180°

Substitute m∠2 + m∠3 in place of 180 for the first sum.

So, m∠1 + m∠2 = m∠2 + m∠3

Using subtraction property of equality and thus we get:

m∠1 = m∠3

As angle 1 is equal to angle 3, therefore by definition of congruence, these angles are congruent.

So, m∠1 ≅ m∠3

Read more about Angle Proof at; brainly.com/question/24839702

#SPJ1

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Answer:

The height of the missile in the air  after 11 seconds is 330 feet.

Step-by-step explanation:

The standard form for the quadratic function f(x)= ax^2 + bx + c, which is the function of the parabola model.

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Now let's form the second equation using the coordinate (2, 240)

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Now let's solve the equations (1) and (2) and find the value of "a" and "b"

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240 = 520 - 2b

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Now we got a = -10 and b = 140.

We plug in a = -10 and b = 140 in the general form, we gety

h(x) = -10x^2 + 140x + c

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h(x) = -10x^2 + 140x

Now plug in x = 11 seconds and find the height.

h(11) = -10(11)^2 + 140 (11)

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Therefore, the height of the missile in the air  after 11 seconds is 330 feet.

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Plug in the components.

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