20 pts and a mark!!! A store is having a sale on jelly beans and trail mix. For 6 pounds of jelly beans and 2 pounds of trail mi
1 answer:
Answer:
The cost of Jelly Beans =
The cost of Trail Mix =
Step-by-step explanation:
Given the cost of 6 pounds of Jelly Beans and 2 pounds of trail mix is $12.
Also, the cost of 3 pounds of Jelly Beans and 5 pounds of Trail mix is $15.
Call the cost of one pound of Jelly beans as J
And cost of one pound of Trail Mix as T.
Now, converting the given data to mathematical form, we would have:
Dividing through out by 2 we have:
To solve (1) and (2), subtract the two equations which will give us:
⇒ T = 9/4
Substituting the value of T in (1), we have:
∴ J = 5/4
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See the attached figure.
========================
AB = 10 , FD = 3
∵ D is the midpoint of AB, and F is the mid point of CB
∴ FD // AC , FD = 0.5 AC
∵ Δ ABC is a right triangle at C
∴ FD ⊥ BC
∴ BD = 0.5 AB = 5
∴ in Δ FDB ⇒⇒ BF² = BD² - FD² = 5² - 3² = 16
∴ BF = √16 = 4
∵ F is the mid point of CB
∴ CF = BF = 4 , and CB = 2 BF = 2*4 = 8
∵ D is the midpoint of AB, and E is the mid point of AC
∴ DE // CB , and DE = 0.5 CB = 0.5 * 8 = 4
∴ T<span>he length of line ED is 4
</span>
========================
AB = 10 , FD = 3
∵ D is the midpoint of AB, and F is the mid point of CB
∴ FD // AC , FD = 0.5 AC
∵ Δ ABC is a right triangle at C
∴ FD ⊥ BC
∴ BD = 0.5 AB = 5
∴ in Δ FDB ⇒⇒ BF² = BD² - FD² = 5² - 3² = 16
∴ BF = √16 = 4
∵ F is the mid point of CB
∴ CF = BF = 4 , and CB = 2 BF = 2*4 = 8
∵ D is the midpoint of AB, and E is the mid point of AC
∴ DE // CB , and DE = 0.5 CB = 0.5 * 8 = 4
∴ T<span>he length of line ED is 4
</span>
A polygon cannot have curved sides. Examples of polygons include a triangle, square, rectangle, or any unnamed shape that is closed in, and has straight sides. ... A quadrilateral is a special kind of polygon that has exactly four sides that are all line segments.