Answer:
<h3>AC=96 units.</h3>
Step-by-step explanation:
We are given a parallelogram ABCD with diagonals AC and BD intersect at point E.
, and CE=6x .
<em>Note: The diagonals of a parallelogram intersects at mid-point.</em>
Therefore, AE = EC.
Plugging expressions for AE and EC, we get

Subtracting 6x from both sides, we get


Factoriong quadratic by product sum rule.
We need to find the factors of -16 that add upto -6.
-16 has factors -8 and +2 that add upto -6.
Therefore, factor of
quadratic is (x-8)(x+2)=0
Setting each factor equal to 0 and solve for x.
x-8=0 => x=8
x+2=0 => x=-2.
We can't take x=-2 as it's a negative number.
Therefore, plugging x=8 in EC =6x, we get
EC = 6(8) = 48.
<h3>AC = AE + EC = 48+48 =96 units.</h3>
Answer:
Step-by-step explanation:
Where are the choices?
m and f are the cups of milk and flour, respectively.
m = ¼f + 1
Answer:
<u>B. Maps</u>
<u>Step-by-step explanation:</u>
Remember, a diagrammatic representation of a geographical location (or an area of land or sea). An example of geographical data includes details such as where roads, streets, rivers, and cities are found.
For example, the map of the United States would show geographical data about the entire fifty states and their cities, etc.
Answer:
7/24
Step-by-step explanation:
Everything they are grilling is an amount of 1.
Then each item is a fraction of 1.
Add 3/8 and 1/3 and subtract from 1.
3/8 + 1/3 = 9/24 + 8/24 = 17/24
The veggie burgers and corn account for 17/24 of the total.
To find the fraction of mushroom, we subtract 17/24 from 1.
1 - 17/24 = 24/24 - 17/24 = 7/24
Answer: 7/24