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skelet666 [1.2K]
1 year ago
6

I need help with figuring out which converse makes QT parallel to MN

Mathematics
1 answer:
ASHA 777 [7]1 year ago
7 0

Since corresponding angles of similar triangles are congruent and triangles QRT and MRN are congruent, then:

\angle RMN\cong\angle RQT.

Now, notice that angles RMN and RQT are corresponding angles, then, using the corresponding angle theorem we get:

QT\mleft\Vert MN\text{.}\mright?

Answer: Second option.

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What is the next term of the arithmetic sequence? -2,-4,-6
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Answer:

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Step-by-step explanation:

The common difference d between consecutive terms is

d = a_{2} - a_{1}, that is

d = - 4 - (- 2) = - 4 + 2 = - 2

To obtain the next term subtract - 2 from - 6

next term = - 6 - 2 = - 8

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3 years ago
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lilavasa [31]

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4.9 * 10⁻⁵

Step-by-step explanation:

0.000049 → 4.9

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If g(x)= x^2-2x-6 and h(x)= 2x^2-5x+2 find (h-g) (-2)
Natalka [10]

Answer:

<h2>(h - g)( - 2) = 18</h2>

Step-by-step explanation:

g(x) = x² - 2x - 6

h(x) = 2x² - 5x + 2

To find (h-g) (-2) we must first find h - g(x)

To find h - g(x) subtract g(x) from h(x)

We have

<h3>(h - g)(x) =  {2x}^{2}  - 5x + 2 - ( {x}^{2}  - 2x - 6)  \\  =  {2x}^{2}  - 5x + 2 -  {x}^{2}  + 2x + 6 \\  =  {2x}^{2}  -  {x}^{2}  - 5x + 2x + 2 + 6</h3><h3>(h - g)(x) =  {x}^{2}  - 3x + 8</h3>

To find (h-g) (-2) substitute the value of x that's - 2 into (h - g)(x) that's replace every x in (h - g)(x) by - 2

That's

<h3>(h - g)( - 2) =  ({ - 2})^{2}  - 3( - 2) + 8 \\  = 4 + 6 + 8 \\  = 10 + 8</h3>

We have the final answer as

<h3>(h - g)( - 2) = 18</h3>

Hope this helps you

7 0
3 years ago
Solve<br>0.9(7x + 14) = 1.5 - (x + 2)
Triss [41]

\\ \sf\longmapsto 0.9(7x+14)=1.5-(x+2)

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\\ \sf\longmapsto x=\dfrac{-13.1}{64}

\\ \sf\longmapsto x=0.2

7 0
3 years ago
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