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2 years ago

Given m||n, find the value of x. + >m (5x+19) (6x+1)°

Mathematics

2 answers:

Radda [10]2 years ago

8 0

5x+19=6x+1 because of parallel postulate.
x=18

vovikov84 [41]2 years ago

7 0

X=18 beuhhhdhshsjsj what he said

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How do i write a two column proof for this?? Given: PG ≅ SG and PT ≅ ST . Prove: ∠GPT ≅ ∠GST

Nikolay [14]

Answer:

PG ≅ SG (Given)

PT ≅ ST (Given)

GT = GT (Common)

∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom)

Step-by-step explanation:

Given: PG ≅ SG and PT ≅ ST

To Prove: ∠GPT ≅ ∠GST

Proof: PG ≅ SG (Given)

PT ≅ ST (Given)

GT = GT (Common)

∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom).

SSS Congruency Axiom: If three pairs of sides of two triangles are equal in length, then the triangles are congruent.

Congruence: Two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

7 0

3 years ago

Sketch the equilibrium solutions for the following DE and use them to determine the behavior of the solutions.

GREYUIT [131]

Answer:

$y=\dfrac{1}{1-Ke^{-t}}$

Step-by-step explanation:

Given

The given equation is a differential equation

$\dfrac{dy}{dt}=y-y^2$

$\dfrac{dy}{dt}=-(y^2-y)$

By separating variable

⇒ $\dfrac{dy}{(y^2-y)}=-t$

$\left(\dfrac{1}{y-1}-\dfrac{1}{y}\right)dy=-dt$

Now by taking integration both side

$\int\left(\dfrac{1}{y-1}-\dfrac{1}{y}\right)dy=-\int dt$

⇒ $\ln (y-1)-\ln y=-t+C$

Where C is the constant

$\ln \dfrac{y-1}{y}=-t+C$

$\dfrac{y-1}{y}=e^{-t+c}$

$\dfrac{y-1}{y}=Ke^{-t}$

$y=\dfrac{1}{1-Ke^{-t}}$

from above equation we can say that

When t will increases in positive direction then $e^{-t}$ will decreases it means that ${1-Ke^{-t}}$ will increases, so y will decreases. Similarly in the case of negative t.

4 0

3 years ago

Which of the following is a monomial A. 12c B. C^2 -16 C. c^2+c+6 D. C^3 +4c^2 -12c + 7

abruzzese [7]

Answer is A. 12c
A monomial only consists of one term (12c),
Binomials consist of two terms (c^2 - 16)
Trinomials consist of three terms (c^2 + c + 6)

An easy way of remembering which is which is to look at the prefixes.
Mono= 1
Bi= 2
Tri= 3

8 0

3 years ago

Estimate 43% of 117. (2 points) Show your work to

finlep [7]

Answer:

Let's say 50

Step-by-step explanation:

40% of 100 is 40

50% of 117 is about 59

so number should be a somewhere in between.

8 0

2 years ago

2/3x-2=5/6x

Naddik [55]

Answer:

x = - 12

Step-by-step explanation:

2 5

--- x - 2 = --- x

3 6

2x 5

--- - 2 = ------ x

3 3 * 2

(2x) - 3 * 2 5x

---------------- = --------

3 2 * 3

x = - 12

5 0

3 years ago