Using the greatest common factor, it is found that the greatest possible number of footballs that each could have received is of 6.
<h3>Greatest common factor:</h3>
- To find the greatest possible value divided equally between two amounts, we have to find the greatest common factor of the two amounts.
In this problem, the amounts of footballs are of 42 and 54, hence:
42 - 54|2
21 - 27|3
7 - 9
Then, gcf(42, 54) = 2 x 3 = 6, which means that the greatest possible number of footballs that each could have received is of 6.
To learn more about the greatest common factor, you can take a look at brainly.com/question/7527348
Answer:
x=8
Step-by-step explanation:
both sides are even and parallel.
Answer:
x = 44°
Step-by-step explanation:
The sum of the exterior angles of any polygon my be 360°, so just add all the angles up, and subtract this from 360°.
Given a pentagon with exterior angles: 102°, 47°, 34°, and 133° with the missing angle x°.
To find the missing angle, first write an equation representing the given rule:
102° + 47° + 34° + 133° + x° = 360°
(316°) + x° = 360°
316° + x° - 316° = 360° - 316°
x° = 44°.
This way, because the rule must be true, the missing angle with this value will satisfy this:
102° + 47° + 34° + 133° + <u>44°</u> = 360°
For this topic, here are some general angle rules for polygons:
- n is the number of sides
- 180° (n – 2) = sum of interior angles of any polygon.
- 180° (n – 2) / n = each interior angle of a regular polygon [all sides and or angles the same measure / congruent].
- 360° = sum of exterior angles of any polygon.
- 360° / n = each exterior angle of a regular polygon. [all sides and or angles the same measure / congruent].
Answer:
x = 18
y = 5
Step-by-step explanation:
From the figure attached,
'l' and 'm' are the parallel lines and two transversal lines are intersecting these parallel lines at points A, B and C.
Since, m∠ABC + (7x - 23)° = 180° [Supplementary angles]
m∠ABC = 180° - (7x - 23)°
m∠BCA = (11y - 1)° [Vertical angles]
m∠BAC = 49°
In ΔABC,
m∠ABC + m∠BAC + m∠CAB = 180°
180° - (7x - 23)° + 49° + (11y - 1) = 180°
-7x + 11y = -71
7x - 11y = 71 ------(1)
Since, sum of consecutive angles is 180°
Therefore, m(∠ABC) + (3x + 49)° = 180°
180° - (7x - 23)° + (3x + 49)° = 180°
-4x = -72
x = 18
From equation (1),
7(18) - 11y = 71
11y = 55
y = 5
For this case we have the following relationship:
Total cost = (Unit Cost) * (Number of meters)
Therefore, substituting values in the given equation we have:
Total cost = (10.69) * (0.70)
Total cost = $ 7,483
This means that Sid will spend $ 7,483 to do the work.
Answer:
Sid will spend about $ 7,483.