Given:
m∠YXV = 3x + 48
m∠WUX = x + 62
Using the corresponding angle theorem, since X is the midpoint of UV and Y is the midpoint VW, m∠YXV is congruent to m∠WUX.
Thus, we have:
m∠YXV = m∠WUX
3x + 48 = x + 62
Solve for x.
Subtract x from both sides:
3x - x + 48 = x - x + 62
2x + 48 = 62
Subtract 48 from both sides:
2x + 48 - 48 = 62 - 48
2x = 14
Divide both sides by 2:

To find m∠WUX, where x = 7, we have:
m∠WUX = x + 62
= 7 + 62
= 69º
ANSWER:
m∠WUX = 69º
Answer:
x=15 and y=2
Step-by-step explanation:
The given system of equations is
8y - x = 1 ...............(i)
and
10 y = x + 5 ...............(ii)
Now from equation (ii)
10 y = x + 5
subtracting -5 from both sides
10 y - 5 = x + 5 - 5
10 y -5 = x
or
x = 10y -5 ............(iii)
Put this in equation (i)
it becomes
8y - (10y -5) = 1
8y-10y+5=1
-2y+5 =1
subtracting 5 from both sides
-2y + 5 -5 = 1 -5
-2y = -4
dividing both sides by -2 gives
-2y / -2 = -4 / -2
y = 2
We got the value of y putting it in equation (iii) to get the value of x
as from equation (iii)
x = 10y-5
x = 10(2) - 5
x = 20 -5
x = 15
So this is the solution from the equations
Answer:
B. 5, 7, 8
Step-by-step explanation:
When you take the sum of the squares of 5 and 7 they are greater than the square of 8.
5² + 7² = 8² Simplify
25 + 49 = 64 Add
74 > 64
If this answer is correct, please make me Brainliest!
17,157 is the answer to your question...I can't really put down work with texting
The sum of two vectors is (- 0.5, 10.1)
<u>Explanation:</u>
To add two vectors, add the corresponding components.
Let u =⟨u1,u2⟩ and v =⟨v1,v2⟩ be two vectors.
Then, the sum of u and v is the vector
u +v =⟨u1+v1, u2+v2⟩
(b)
Two vectors = ( 3, 4 )
angle 2π/3 = 120°
In x axis, the vector is = 7 cos 120°

In y axis, the vector is = 7 sin 120°
= 7 X 0.866
= 6.062
The second vectors are ( -3.5, 6.062)
Sum of two vectors = [( 3 + (-3.5) ), (4 + 6.062)]
= (- 0.5, 10.1)