Which of the list of letters all have line symmetry?

Mathematics

1 answer:

ss7ja [257]3 years ago

7 0

Answer:

Option A

A B C D

Step-by-step explanation:

Line of symmetry means that line which cut anything into two two halves.

It could horizontal, vertical and diagonal.

A - vertical line of symmetry

B - horizontal line of symmetry

C - horizontal line of symmetry

D - horizontal line of symmetry

And it is an example of Spherical symmetry:

If the organism is cut through its centre, the resulting parts look the same.

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Let A = { x ∈ R : x 2 − 5 x + 4 ≤ 0 } , B = (3 , 5), and C = (3 , 4]. Show that A ∩ B = C . (Recall, you must show two separate

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Answer:

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Step-by-step explanation:

First solve the quadratic inequality $x^{2}-5x+4\leq 0$ . To do that, factorize, then we have that $(x-4)(x-1)\leq 0$ . This implies that

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To show that $A\cap B\subseteq C$ consider $x\in A\cap B$ . Then $1\leq x \leq 4\, \text{and}\, 1$ , this implies that $3$ , then $x\in C$ . Now, to show that $C\subseteq A\cap B$ consider $x\in C$ , then $3$ , then $1\leq x \leq 4\, \text{and}\, 3$ , then $x\in [1,4] \, \text{and}\, x\in (3,5)$ , this implies that $x\in A\cap B$ .