Answer:
m∠ADC=55°
Step-by-step explanation:
step 1
Find the value of x
we know that
m∠CDE+m∠EDF=180° ----> by supplementary angles (form a linear pair)
substitute the given values
solve for x
step 2
Find the measure of angle ∠ADC
we know that
m∠ADC=m∠EDF ----> by vertical angles
m∠EDF=(x-7)°
substitute the value of x
m∠EDF=(62-7)°=55°
therefore
m∠ADC=55°
Answer:
Step-by-step explanation:
Area of a triangle = 1/2 * Base * height | Plug in values
82.5 = 1/2 * 15 * height | Multiple both sides by 2
165 inches = 15 * height | Divide both sides by 15
Height = 165/15 = 11 inches
Answer:
B
Step-by-step explanation:
A function can only have an input with one output, but multiple inputs can have the same output.
Una función solo puede tener una entrada con una salida, pero varias entradas pueden tener la misma salida.
To solve this question, we have to set up a proportion that relates the two triangles.
In the bigger triangle, the bottom piece equals 30 feet.
In the smaller triangle, the bottom piece equals 5 feet.
In the bigger triangle, the height equals x feet.
In the smaller triangle, the height equals 30 feet.
In a proportion, this would be:
5/30 = 30/x
To solve this proportion, we can use cross-products, or setting the products of the opposite numerators and denominators equal to each other.
5 * x = 30 * 30
Now we have to simplify both sides of the equation by completing the multiplication operations.
5x = 900
Finally, we must divide both sides by 5, to get the variable x alone on the left side of the equation (get rid of coefficient of 5)
x = 180
Therefore, x = 180 or the height of the bigger triangle (building) is 180 feet.
Answer:
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