Answer:
C
Step-by-step explanation:
Answer:
m∠CEB is 55°
Step-by-step explanation:
Since ∠ADE = 55°, and ∠ADE is half of ∠ADC because ED bisects ∠ADC. Bisect means to cut in half.
∠ADC = 110° because it is double of ∠ADE.
Since AB║CD and AD║BC, the two sets of parallel lines means this shape is a parallelogram. In parallelograms, <u>opposite angles have equal measures</u>.
∠ADC = ∠CBE = 110°
All quadrilaterals have a sum of angles 360°. Since ∠DCB = ∠BAD and we know two of these other angles are each 110°:
360° - 2(110°) = 2(∠DCB)
∠DCB = 140°/2
∠DCB = ∠BAD = 70°
∠DCB was bisected by EC, which makes each divided part half.
∠DCE = ∠BCE = (1/2)(∠DCB)
∠DCE = ∠BCE = (1/2)(70°)
∠DCE = ∠BCE = 35°
All triangles' angles sum to 180°.
In ΔBCE, ∠BCE = 35° and ∠CBE = 110°.
∠CEB = 180° - (∠BCE + ∠CBE)
∠CEB = 180° - (35° + 110°)
∠CEB = 55°
Therefore m∠CEB is 55°.
The exponential function that models this situation is:
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A decaying exponential function has the following format:
In which:
- y(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem:
- The stock started at $225, thus .
- Declines at a rate of 25% every 2 weeks, thus
The equation is:
A similar problem is given at brainly.com/question/24282972
The function f(x) represents the number of toys sold per month, where "x" represents the number of months since June
This function was transformed resulting in the function:
When you add a constant to a function, the resulting transformation is a vertical translation up. In this case, the function f(x) was translated 7 units up.
In terms of the variables, this translation in