Answer:
m∠BCD = 120°
Step-by-step explanation:
Since the interior angles of a quadrilateral add up to 360°, then we get:
2x+x+2x+x=360°
6x=360°
<em>Divide both sides by 6</em>
x=60°
Since ∠BCD's value is 2x and x is equal to 60°, then ∠BCD is 120°.
Answer:
Therefore,
.......Equation
Angelica's Brother's age is 11 years old.
Step-by-step explanation:
Given:
Let the current age of Angelica's Brother be 'x' years old
Angelica's current age is 13 years old,
According to given condition,
Therefore the Equation will be,

On solving this equation we get

Therefore,
Angelica's Brother's age is 11 years old.
Therefore,
.......Equation
Angelica's Brother's age is 11 years old.
Answer:
43 square cm
Step-by-step explanation:
Hope that helps!
Answer:
The graph of y = f(x) will shift left 6 units, as shown in figure a.
Step-by-step explanation:
A translation means we are able to move the graph of a function up or down - normally called Vertical Translation - and right or left - commonly called Horizontal Translation.
If we replace the graph of y = f(x) with the graph of y = f(x + 6). It means we have added 6 units to the input, meaning the graph y = f(x) will shift left by 6 units as 6 is being added directly to the x, so it is f(x + 6).
For example, if y = x² is the original function and of 6 is directly added to x i.e. f(x + 6), making it y = (x + 6)². So, we can easily observe that there will be a horizontal translation left of 8 units, as shown in figure a.
So, the graph of y = f(x) will shift left 6 units.
Keywords: graph shift, translation
Learn more about translation from brainly.com/question/3110598
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Answer:
The angle of depression of an object becomes the angle between the horizontal and the line of sight from the object to the observer's eye. The angle of depression will be below the observer's eyes.
Step-by-step explanation: