By the converse of the basic proportionality theorem, we can say DE║AB.
We need to check whether DE is parallel to AB.
<h3>What is the converse of the basic proportionality theorem?</h3>
If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.
In triangle ABC, we can see on side AC, D is midpoint (∵AD=DC) and on side BC, E is midpoint (∵BE=CE).
Therefore, by the converse of the basic proportionality theorem, we can say DE║AB.
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The set A satisfying the given inequality is A = (-, -10].
<h3>What are some properties of an inequality relation? </h3>
Following are some facts which are true for an inequality relation:
- Equal numbers can be added or subtracted from both sides of an inequality without affecting the inequality sign.
- The Inequality sign is unchanged if both sides are multiplied or divided by a positive number, but when multiplied or divided by a negative number the inequality sign is reversed.
Since y ∈ B, -2 ≤ y ≤ 7. So,
The set {-x | inequality (1) holds ∀ y ∈ B} is [10, ) i.e.
10 ≤ -x ≤ .
Multiplying -1 throughout gives
-10 ≥ x ≥ -.
x, thus, lies in the range A = (-, -10}.
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<h3>Question </h3>
Find the set A such that for x ∈ A
∀y ∈ B = {y ∈ R | -2 ≤ y ≤ 7}.
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$5.64
You need to divide $2.35 by 5 and then multiply that number by 12!
Hope this helps!
Answer:
2560 Pesos
Step-by-step explanation:
How to find the amount of money in the savings account:
2380 - 500 = 1880
1880 + 680 = 2560
The addition equation: 1880 + 680 = 2560
The sum of the money: 2560 Pesos
Answer:
242 members voted in favor while 193 members voted against
Step-by-step explanation:
Let those that voted against be x will those in favor will be (x+49)
Since today number of voters is 435
To find x
X + (x+49) = 435
2x + 49 = 435
2x = 435 - 49
2x = 386
X = 386/2
X = 193
Therefore, those against is 193 while this in favor is 193+49 = 242