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1 year ago

Course challenge

Mathematics

2 answers:

krek1111 [17]1 year ago

3 0

Answer:

x=36

Divide the corresponding side (16) by 4/7

irina1246 [14]1 year ago

3 0

Answer:

x=36

Divide the corresponding side (16) by 4/7

Step-by-step explanation:

x=16×9/4=36

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Point m is the midpoint of ab¯¯¯¯¯ . am=2x+9, and ab=8x−50. what is the length of am¯¯¯¯¯¯ ?

iogann1982 [59]

Since m is the midpoint of ab, then the following relationship is fulfilled:
$am = \frac{ab}{2}$
Therefore, substituting values we have:
$2x+9 = \frac{8x-50}{2}$
From here, we clear the value of x.
We have then:
$2x+9 = 4x-25$
$9+25 = 4x-2x$
$34 = 2x$
$x = \frac{34}{2}$
$x = 17$
Then, the value of am, is given by substituting x in the expression:
$am=2x+9$
Substituting we have:
$am=2(17)+9$
$am=34+9$
$am=43$
Answer:
the length of am is:
$am=43$

7 0

3 years ago

Describe the congruence transformation that maps ΔABC onto ΔA′B′C′ in the given figure.

babymother [125]

<h3>Answer: Choice B</h3>

Reflection along y axis

Translation: $(x,y) \to (x,y-3)$ which means we shift 3 units down

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Explanation:

Let's track point A to see how it could move to point A'.

If we were to reflect point A over the vertical y axis, then A(-4,4) would move to (4,4). The x coordinate flips in sign, but the y coordinate stays the same.

The diagram shows that A' is located at (4,1) instead of (4,4). So a y-axis reflection isn't enough to move A to A', but we can shift that reflected point three units down. That will move (4,4) to (4,1) which is exactly where we want to end up. Note how we subtract 3 from the y coordinate and x stays the same. So that explains the notation $(x,y) \to (x,y-3)$

Overall, this points to choice B as the final answer. If we apply these steps to points B and C, you should find that they'll land on B' and C' respectively. Apply this to all of the points on the triangle ABC, and it will move everything to triangle A'B'C'.

7 0

2 years ago

12.8° to the nearest degree

Ivenika [448]

12.8=13°

Hope this helps!

Thanks!

-Charlie

3 0

2 years ago

Read 2 more answers

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