Using translation concepts, it is found that:
The length of the resulting line segment will be the same as the length of the original line segment since translations do not change the lengths of line segments.
<h3>What is the translation of a figure?</h3>
The translation of a figure happens when the entire figure moves either <u>left, right, up or down</u>.
A translation changes just the position of the figure, not the lengths, hence the statement is completed as follows:
The length of the resulting line segment will be the same as the length of the original line segment since translations do not change the lengths of line segments.
More can be learned about translation concepts at brainly.com/question/28174785
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What are the answer choices, if you have any?
D=t*m
d=dollar amount
t=hours
m=how much she earns per hour
Plug in the first set of numbers
$206.25=(25hr)*m
the amount she earns per hour is
$206.25/25hr = m = $8.25 per hr
So
$264=t*$8.25
264/8.25 = t
t = 32 hr
Answer:
Measure of angle 2 and angle 4 is 42°.
Step-by-step explanation:
From the figure attached,
m∠ABC = 42°
m(∠ABD) = 90°
m(∠ABD) = m(∠ABC) + m(∠DBC)
90° = 43° + m(∠DBC)
m(∠DBC) = 90 - 43 = 47°
Since ∠ABC ≅ ∠4 [Vertical angles]
m∠ABC = m∠4 = 42°
Since, m∠3 + m∠4 = 90° [Complimentary angles]
m∠3 + 42° = 90°
m∠3 = 90° - 42°
= 48°
Since, ∠5 ≅ ∠3 [Vertical angles]
m∠5 = m∠3 = 48°
m∠3 + m∠2 = 90° [given that m∠2 + m∠3 = 90°]
m∠2 + 48° = 90°
m∠2 = 90 - 48 = 42°
m∠3+ m∠4 = 90° [Since, ∠3 and ∠4 are the complimentary angles]
48° + m∠4 = 90°
m∠4 = 90 - 48 = 42°
Therefore, ∠2 and ∠4 measure 42°.
