Newest #7What is the length of missing side VJ? Round answer to nearest tenth.

VJ ≈ 6.7 in

Step-by-step explanation:

Using the Sine rule in Δ XYJ

∠ X = 180° - (105 + 35)° = 180° - 140° = 40°, thus

= , that is

= ( cross- multiply )

VJ sin35° = 6 sin40° ( divide both sides by sin35° )

VJ = ≈ 6.7 ( to the nearest tenth )

VJ = 6.7 inches

Step-by-step explanation:

Considering the given triangle JVX, to determine VJ, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes

VJ/SinX = VX/SinJ = JX/SinV

The sum of the angles in a triangle is 180°. It means that

X = 180 - (105 + 35) = 40°

Therefore

VJ/Sin 40 = 6/Sin 35

Cross multiplying, it becomes

VJSin35 = 6Sin40

0.5736VJ = 6 × 0.6428

0.5736VJ = 3.8568

VJ = = 3.8568/0.5736

VJ = 6.7 inches

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!