Answer:
-42/7
Step-by-step explanation
The solution to the equation 14h = 98 is h = 7.
To solve for h in the equation 14h = 98, we can divide both sides of the equation by 14. This gives us:
h = 98 / 14
h = 7
Therefore, the solution to the equation 14h = 98 is h = 7.
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Statements
Reasons
1. MZQVR = 49
1. given
2. MZUVT = 3x + 4
2. given
S
R
3. LQVR and ZUVT are
vertical angles
3. definition of vertical
angles
T
4. LUVT , ZQVR
4.
V
(3x + 4)º
5. m_UVT = m2QVR
5. definition of congruence
U
6. +
6. substitution property
Complete the steps of the proof
7. 3x = 45
7. subtraction property
8. x = 15
8. division property
<
3x + 4 = 15
3x + 4 = 49
X measure of angle QVR = 49 degrees
✓ Done
measure of angle UVT = (3x + 4) degrees
7 of a
The proof of the question is explained in the solution.
Vertical angles are the angles that are formed when two lines intersect each other at a point.
Given that a figure having m∠QVR = 49°, we need to prove that x = 15,
We know that,
Vertically opposite angles are equal.
From the figure we can see a number of line segments
m∠QVR = 49°
From the given figure we get,
∠QVR and ∠UVT are vertically opposite angles.
Therefore,
m∠QVR = m∠UVT
49 = 3x + 4
3x = 49 - 4
3x = 45
x = 45/3 = 15
Hence, proved.
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Answer:
4. vertical angles theorem
6. 3x+4=49
Step-by-step explanation:
The value of the fraction is given by equation A = 6 7/12
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the simplified fraction be represented as A
Now , let the first fraction be p
The value of p = 12 1/4
Let the second fraction be q
The value of q = 5 2/3
On simplifying , we get
A = p - q
A = 12 1/4 - 5 2/3
A = ( 49/4 ) - ( 17/3 )
Taking the LCM of the denominators , we get
A = [ ( 49 x 3 ) - ( 17 x 4 ) ] / 12
A = ( 147 - 68 ) / 12
A = ( 79/12 )
On further simplification of the fraction , we get
A = 6 7/12
Therefore , the value of A is 6 7/12
Hence , the simplified fraction is A = 6 7/12
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Answer:
True, because the integral of velocity is displacement.
Step-by-step explanation:
2x + 8y = 8
A. one solution
B. two solutions
C. infinitely many solutions
D. no solution
Answer:
x+y=1500
10.50x+7.50y=13950
multiply the first one by -7.5 to eliminate y
-7.5x-7.5y=-11250
3x=2700
x=900 adults for $9450
y=600 children for $450
Step-by-step explanation: