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Paul [167]
1 year ago
10

What are the lengths of A ⁢ D ¯ , D ⁢ B ¯ , A ⁢ E ¯ , and E ⁢ C ¯ ? Measure and record them.

Mathematics
1 answer:
Natali5045456 [20]1 year ago
3 0

For this exercise, you could get the following lengths by using a scale (ruler):

  1. AD = 7.5 units.
  2. DB = 18.5 units.
  3. AE = 7.01 units.
  4. EC = 17.28 units.

<h3>What is a line segment?</h3>

A line segment can be defined as the part of a line in a geometric figure such as a triangle, that is bounded by two (2) distinct points and it typically has a fixed length.

In Geometry, a line segment can be measured by using the following measuring instruments:

  • A scale (ruler)
  • A divider

In this scenario, you're required to determine the lengths of the given line segments. However, the geometric figure wasn't included and as such an accurate answer can't provided.

For instance, you could get the following lengths by using a scale (ruler):

  1. AD = 7.5 units.
  2. DB = 18.5 units.
  3. AE = 7.01 units.
  4. EC = 17.28 units.

Read more on line segment here: brainly.com/question/18315903

#SPJ1

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A triangle is shown. The table names different transformations that can be applied to the triangle.
Citrus2011 [14]

The given transformations are rigid transformation in which the image

can be located by a formula.

Response:

First reflect across the x-axis then reflect across the y-axis

  • Figure: Second graph

First, rotate 180° counterclockwise around the origin. Then reflect across the x-axis.

  • Figure: Third graph

First translate 9 units to the left. Then reflect across the x-axis

  • Figure: First graph

<h3>Which method is used to determine the transformation of an image?</h3>

The coordinates of (x, y) following a reflection across the x-axis is (x, -y)

The coordinates following a reflection across the y-axis is (-x, y)

The points of the triangle following the first transformation is therefore;

(4, 4) → (4, -4) → (-4, -4)

(8, 4) → (8, -4) → (-8, -4)

(6, 6) → (6, -6) → (-6, -6)

The image from the first transformation is (-4, -4), (-8, -4), (-6, -6), which

corresponds to the <u>second graph</u>.

The coordinates following a rotation of (x, y) by 180° about the origin is (-x, -y)

A reflection of the point (-x, -y) about the x-axis is (-x, y).

Therefore;

(4, 4) → (-4, -4) → (-4, 4)

(8, 4) → (-8, -4) → (-8, 4)

(6, 6) → (-6, -6) → (-6, 6)

The image from the second transformation is (-4, 4), (-8, 4), (-6, 6), which corresponds to the <u>third graph</u>.

The coordinates following a translation of 9 units to the left is (x - 9, y)

A reflection of the point (x - 9, y) about the x-axis is (x - 9, -y)

Therefore;

(4, 4) → (4 - 9, -4) = (-5, -4)

(8, 4) → (8 - 9, -4) = (-1, -4)

(6, 6) → (6 - 9, -6) → (-3, -6)

The image from the third transformation is (-13, -9), (-1, -4), (-7, -6), which corresponds to the<u> first graph</u>.

Learn more about rigid transformations here:

brainly.com/question/11408409

6 0
2 years ago
Read 2 more answers
Martina is currently 14 years older than her cousin Joey. In 5 years she will be 3 times as old as Joey. How old is Martina? How
Rufina [12.5K]

Answer:

Joey is 2 years old and Martine is 16 years old.

Step-by-step explanation:

5 0
3 years ago
Some one help me on this one
aleksandrvk [35]
The answer is III only, or D. 


We can start to solve this by knowing what the HL theorem means. The HL theorem, like its name implies, shows says that if a hypotenuse and leg of a triangle are congruent to the hypotenuse and leg of a different triangle, then the triangles are congruent. The only triangle that we see a hypotenuse congruent in is in figure III. In figure II, those congruent sides are both legs while in figure I we just see 2 congruent angles. Now in figure III, we can also see that two legs are congruent because of the reflexive property. That means that the answer is III, or D. 
5 0
3 years ago
Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the tab
expeople1 [14]

<span>
You can write the equation in point-slope form, which has the format <em>y-y</em>subscript1=<em>m</em>(<em>x-x</em>subscript1), with <em>y</em>subscript1 and <em>x</em>subscript1 being the y and x coordinates for a point on the line, and <em>m</em> being the slope. </span>

<span /><span>Substitute a y and x coordinate into the equation so you have <em>y</em>-6=<em>m</em>(<em>x</em>-2)</span>

<span /><span><span>Then find the slope so you can replace <em>m</em>. The slope formula is <em />(<em>y</em>subscript2-<em>y</em>subscript1)/(<em>x</em>subscript2-<em>x</em>subscript1). </span><span>Substitute the coordinates in so you have <em>m</em>=(16-6)/(4-2), which simplifies to 10/2 and then 5.</span></span>

<span><span /></span><span>Now the equation is <em>y</em>-6=5(<em>x</em>-2)</span>

<span />If you want a different form, for example slope-intercept form, you can change it to that:

<span><em>y</em>-6=5(<em>x</em>-2)</span>

<span><em>y</em>=5x-4</span>

6 0
3 years ago
What is the solution of the system of equations shown in the graph?
Rudiy27

Answer:

The solution of the system of equations shown in the graph is (2,0)

Step-by-step explanation:

It's easy

You just look for the point of intersections the lines make.

The point is on the number 2  on the x axis, and number 0 on the y axis. Therefore its (2,0).

Happy to help!

3 0
3 years ago
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