Answer: B) BC=4 in.
Step-by-step explanation:
Given: In △ABC , AB=4 inch ,AC=4 in. , and m∠A=60°
⇒ AB=AC= 4 inches
⇒ △ABC is an isosceles triangle.
⇒ m∠A=60°=m∠B [angles opposite to the equal sides of a triangle are equal]
Now by angle sum property,
m∠A+m∠B+m∠C=180°
⇒60°+60°+m∠C=180°
⇒ m∠C=180°-120°
⇒ m∠C=60°
⇒ △ABC is an equilateral triangle.
⇒ BC= 4 inches [sides of an equilateral triangles are equal]
⇒ B is the right answer.
The best and most correct answer among the choices provided by your question is the first choice or letter A,
The best process for simplifying the expression is: <span>combine like terms, distribute the radicals; simplify the radicals.</span>
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The distance of plane from the origin is 357.14 miles
<u>Explanation:</u>
Given:
distance traveled southwards, y = 600 miles
Distance traveled east of south, z = 250 miles
Angle, θ = 35°
Distance of plane from the origin, x = ?
The figure is attached for reference:
tan θ = Perpendicular / base
tan θ = distance travelled east of south / x
tan 35° = 250 / x
we know,
tan 35° = 0.7
So,
Therefore, the distance of plane from the origin is 357.14 miles
Answer:
x = 4
y = 4
Step-by-step explanation:
the front triangle has two 40° angles (sum of all ∡'s must be 180°)
the unlabeled lower-left angle then is 40°; this angle corresponds to the angle in the other triangle labeled as 10y°
therefore, 10y = 40 so y = 4
Since opposite angles in a parallelogram are congruent then we can write:
40° + 25x° = 100° + 10(4)°
25x° = 140 - 40°
25x = 100°
x = 4
I thing it is B...plz tell me if I am right but I think I am
