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oeerivona
Answer:
The value of x is 9°
Step-by-step explanation:
The given parameters are;
ΔUVW with side UW extended to X
m∠UVW = (3x + 4)°
m∠VWX = (8x -12)°
m∠WUV = (x + 20)°
We have that m∠UVW + m∠WUV + m∠VWU = 180° (Sum of the interior angles of a triangle theorem)
∴ m∠VWU = 180° - (m∠UVW + m∠WUV)
Also we have that m∠VWX and m∠VWU are supplementary angles, (The sum of angles on a straight line)
∴ m∠VWX + m∠VWU = 180° (Definition of supplementary angles)
m∠VWU = 180° - m∠VWX
∴ m∠VWX = (m∠UVW + m∠WUV)
Substituting the values, gives;
(8x -12)° = (3x + 4)° + (x + 20)°
8x - 3x - x = 4 + 20 + 12
4x = 36
x = 36/4 = 9
x = 9°.
Ok, so lets evaluate this here:
2/3 (x - 6) - y Let's do the first part: 2/3 (x - 6)
If X = 9 then we subtract 6 from 9 and get 3. Then we multiply
3 by 2/3 and get 2.
Then lets do the 2nd part: 2 - y.
So if y = 5/6, we can first convert 2 into an improper fraction in sixths and have 12/6. Then. we just have to do 12/6 - 5/6 and subtract the numerators and end up with 7/6. The final answer is A, hope this helps!
The kinetic energy is calculated through the equation,
KE = mc²
where KE is kinetic energy, m is mass, and c is the masses. Substituting the known values,
KE = (5 kg)(3 x 10^8)²
KE = 4.5 x 10^17 J
Answer:
Step-by-step explanation:
Corresponding parts of congruent triangles are equal.
VT = SR
8x- 17 = 15 {Add 17 to both sides}
8x = 15 + 17
8x = 32 {divide both sides by 8}
x = 32/8
x = 4
Corresponding parts of congruent triangles are equal.
∠V = ∠S = 60°
∠W = ∠U = 90°
∠T = ∠R = 2y + 20
In Δ VUT,
∠V + ∠U + ∠T = 180 {Angle sum property of triangle}
60 + 90 + 2y + 20 = 180
2y + 170 = 180
2y = 180- 170
2y = 10
y = 10/2
y = 5
