Answer:
22.5 kilometers
Step-by-step explanation:
we know that
The scale drawing is
That means
1 unit on a map represent 250,000 units in the actual
or
1 cm on a map represent 250,000 cm in the actual
or
1 cm on a map represent 2,500 m in the actual
or
1 cm on a map represent 2,5 km in the actual
therefore
using proportion
Find out how much represent 9 cm apart on the map
Answer:
4. 21
5.120
Step-by-step explanation:
(the answer for #4
I added 5x+15 and 3x-3
and got
8x+12
and because we needed to find the value of x, l did this
8x+12=180
because interior consecutive angles equal 180
and I got 21
(answer for 5)
I then plugged 21 into 5x+15 because angle 1 is equal to it
5(21)+15
I got 120
Answer:
- reflection in x = 1
- translation up 2
Step-by-step explanation:
The orientation of B is the opposite of the orientation of A, so a reflection is involved. The smallest angle is at the bottom in both figures, and the largest angle is on the right in A and the left in B, so the reflection is left-right, rather than up-down.
The point midway between the largest angle vertices is on the vertical line x=1, so that line can be used for reflection. Reflecting A across that line will put its large-angle vertex at (3, 0), so a translation up 2 units is also needed.
The reflection on x=1 and translation up 2 can be done in either order.
_____
<em>Additional comment</em>
A combination of reflection and translation is called a "glide reflection." Our choice of x = 1 as the line of reflection takes care of any horizontal translation that would be required if a different vertical line were used. For example, reflection across the y-axis would require a subsequent translation up 2 and right 2.
◆ Arithmetic Progressions ◆
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Check the attachment.
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