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satela [25.4K]
3 years ago
15

The area of a rectangular piece of paper is 32 square inches. The perimeter is 24 inches.

Mathematics
1 answer:
rodikova [14]3 years ago
5 0

Answer

4 and 8

Explanation

List all factors of 32 and then find which number equals 24 when added

Or

You could waste time and use alegbra lol

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Bogdan [553]

Given:

In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and m\angle BCD=30^\circ.

To find:

The m\angle AOB.

Solution:

If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

We have, DC is parallel to BA and BC is the transversal line.

\angle OBA\cong \angle BCD        [Alternate interior angles]

m\angle OBA=m\angle BCD

m\angle OBA=30^\circ

In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.

We know that base angles of an isosceles triangle are congruent.

\angle OAB\cong \angle OBA      [Base angles of an isosceles triangle]

m\angle OAB=m\angle OBA

m\angle OAB=30^\circ

In triangle AOB,

m\angle OAB+m\angle OBA+m\angle AOB=180^\circ

30^\circ+30^\circ+m\angle AOB=180^\circ

60^\circ+m\angle AOB=180^\circ

m\angle AOB=180^\circ-60^\circ

m\angle AOB=120^\circ

Therefore, the measure of angle AOB is 120 degrees.

6 0
3 years ago
-10 + x + 4-5 > 7x - 5
coldgirl [10]

Answer:

x < -1

Step-by-step explanation:

Step 1: Write out inequality

-10 + x + 4 - 5 > 7x - 5

Step 2: Solve

x - 6 - 5 > 7x - 5

x - 11 > 7x - 5

-11 > 6x - 5

-6 > 6x

-1 > x

Step 3: Rewrite

x < -1

3 0
3 years ago
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Montano1993 [528]
Infinite sets may be countable or uncountable. Some examples are: the set of all integers, {..., -1, 0, 1, 2, ...}, is a countably infinite set; and. the set of all real numbers is an uncountably infinite set.
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3 years ago
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What a Expression that has a value -8
kirill [66]

Answer:

(-4+2*2)+8

Step-by-step explanation:

2*2=4

-4+4= 0

0+8= -8

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3 years ago
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About how tall is a two-story building? 6 inches 20 feet 25 inches 6 feet
lara [203]

The most likely measurement for a two-story building would be 20 feet. 6 inches, 25 inches, and 6 feet all are way too short for a two-story building.

8 0
3 years ago
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