Answer:
The measure of the angle Y in given triangle is 120 º.
Step-by-step explanation:
Here, in ΔXYZ
∠X = 34 º , ∠Z = 26 º
By, ANGLE SUM PROPERTY of a Triangle:
Sum of all the interior angles in any given triangle is always 180 º.
⇒ ∠X+ ∠Y + ∠Z = 180 º
or, 34 º + ∠Y + 26 º = 180 º
or, ∠Y = 180 º - 60 º
⇒ ∠Y = 120 º
Hence, the measure of the angle Y in given triangle is 120 º.
Answer:
3 units below the y-intercept of g(x) is the y-intercept of f(x)
Step-by-step explanation:
and 
In f(x)= mx+b the y intercept is b
In , the y intercept value is 2
In , the y intercept value is -1
the difference in y intercept is +2-(-1)=+3
3 units below the y-intercept of g(x) is the y-intercept of f(x)
Pounds.. or grams it depends on what size the pitcher is.. but pounds
Answer: 5.4
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Explanation:
Angle D = 43 is the given reference angle
side FE = 5 is the side opposite the reference angle (since its the leg furthest away from angle D)
We want to find side DE which is the other leg. This is the adjacent side with angle D as the reference angle
Use the tangent rule
tan(angle) = opposite/adjacent
tan(D) = FE/DE
tan(43) = 5/DE
DE*tan(43) = 5
DE = 5/tan(43)
DE = 5.36184355 <<-- use a calculator here; this is approximate
DE = 5.4 <<-- round to the nearest tenth
That's why 5.4 is the answer
