Answer:
1/2
Step-by-step explanation:
Half of 14 is 7 therefore it is 1/2
The correct equation that represents the expression "The number 24 is what percent of the number 40?" is as shown below;
The the unknown number in percent be 'x'
x percent of number 40 is expressed as;
x% of 40
x/100 of 40
If 24 is equal to the expression above, then the final equation will be expressed as;
24 = x/100 of 40
24 = 40x/100
24 = 0.4x
Rearrange
0.4x = 24
Hence the correct equation used to solve the problem is 0.4x = 24
Answer:
<h3>The answer is option C</h3>
Step-by-step explanation:
x² + 5x - 24
To factorize first write 5x as a difference so that when subtracted will give you 5 and when multiplied will give you - 24
That's
x² + 8x - 3x - 24
Factorize x out
That's
x( x + 8) - 3(x + 8)
Factor x + 8 out
We have the final answer as
<h3>(x + 8)(x - 3)</h3>
Hope this helps you
To prove the QRST is a parallelogram.
Step 1: Given
and 
Step 2:
are alternate interior angles.
Definition of alternate interior angles
Step 3: Alternate interior angle theorem:
If two parallel lines cut by a transversal then the alternate interior angles are congruence.
QR and TS are parallel lines cut by QS.
Therefore, 
Step 4: Reflexive property of congruence:
Any geometric figure is congruence to itself.
Therefore, 
Step 5: By the above steps
(Angle),
(Angle) and
(Side)
Hence
(by ASA congruence theorem)
Step 6: Corresponding parts of congruence triangles are congruent.

Step 7: Property of parallelogram:
If one pair of opposite sides are both parallel and congruent, then the quadrilateral is a parallelogram.
Hence Quadrilateral QRST is a parallelogram.