No
645 becomes 650 when rounded to the nearest ten
645 becomes 600 when rounded to the nearest hundred
Answer:
What is the constant variation of Y =- 2 3x?
The constant of variation, k , is 23 .
What is the constant variation of Y 1 2x?
The constant of variation, k , is 12 .
Step-by-step explanation:
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In the graph,
Amplitude = 1.5 units
Period = 180°
The x-intercepts are 40°, 140°, 220°, and 320°
<h3>Determining x-intercepts </h3>
From the question, we are to determine the amplitude, period and the x-intercepts of the given graph
Amplitude is the distance from rest to crest.
In the graph,
Amplitude = 1.5 units
Period is how long from crest to crest OR trough to trough
In the graph,
Period = 180°
x-intercepts refers to the points where the graph cuts the x-axis
In the graph,
The x-intercepts are 40°, 140°, 220°, and 320°
Learn more on Determining x-intercepts here: brainly.com/question/24148225
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m∠1 = 30° (by Vertical angle theorem)
m∠A = 80° (by Triangle sum theorem)
m∠D = 80° (by Triangle sum theorem)
The value of x is 7.5 and y is 9.
Solution:
∠ACB and ∠DCE are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>
⇒ m∠DCE = m∠ACB
⇒ m∠1 = 30° (by Vertical angle theorem)
In triangle ACD,
Triangle sum property:
<em>Sum of the interior angles of the triangle = 180°</em>
⇒ m∠A + m∠C + m∠B = 180°
⇒ m∠A + 30° + 70° = 180°
⇒ m∠A + 100° = 180°
⇒ m∠A = 100° – 180°
⇒ m∠A = 80° (by Triangle sum theorem)
Similarly, m∠D = 80° (by Triangle sum theorem)
In ΔACD and ΔDCE,
All the angles are congruent, so ΔACD and ΔDCE are similar triangles.
<em>In similar triangle corresponding sides are in the same ratio.</em>

Do cross multiplication.
90 = 12x
7.5 = x
Now, to find y:

Do cross multiplication.
9y = 72
Divide by 9, we get
y = 8
Hence the value of x is 7.5 and y is 9.