Answer:
7. ∠CBD = 100°
8. ∠CBD = ∠BCE = 100°; ∠CED = ∠BDE = 80°
Step-by-step explanation:
7. We presume the angles at A are congruent, so that each is 180°/9 = 20°.
Then the congruent base angles of isosceles triangle ABC will be ...
∠B = ∠C = (180° -20°)/2 = 80°
The angle of interest, ∠CBD is the supplement of ∠ABC, so is ...
∠CBD = 180° -80°
∠CBD = 100°
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8. In the isosceles trapezoid, base angles are congruent, and angles on the same end are supplementary:
∠CBD = ∠BCE = 100°
∠CED = ∠BDE = 80°
Answer:
P' = (3, 0)
Step-by-step explanation:
You are translating the point (x, y) of (5, -5) to the left 2 units and up 5 units. The x value changes when shifting left or right. So the x value shifts to the left 2 units, meaning it shifts left on the number line, so it reduces by 2 units. The y value changes when shifting up or down. So the y value shifts up 5 units, so it increases in value by 5 units
Answer: 644,800
Step-by-step explanation:
This can also be solved using the terms of Arithmetic Progressions.
Let the 13 years be number of terms of the sequences (n)
Therefore ;
T₁₃ = a + ( n - 1 )d , where a = 310,000 and d = 9% of 310,000
9% of 310,000 = 9/100 x 310,000
= 27,900
so the common difference (d)
d = 27,900
Now substitute for the values in the formula above and calculate
T₁₃ = 310,000 + ( 13 - 1 ) x 27,900
= 310,000 + 12 x 27,900
= 310,000 + 334,800
= 644,800.
The population after 13 years = 644,800.
Answer:
4π
Step-by-step explanation:
This is a sinusoidal function.
The period of the function is basically the length from one wave crest to the next crest. We can take any 2 subsequent crests.
Lets take our first crest to be at 3π
The next one will be at 7π, as we can see
So, the length from one crest to the next is the period, which is:
7π - 3π
= 4π
Third answer choice is right, 4π is the period.
The coordinates of the midpoint:
x₁,y₁ - the coordinates of one endpoint
x₂,y₂ - the coordinates of the other endpoint
