A section in a stained glass window is shaped like a trapezoid.the top base is 4 centimeters and the bottom base is 2.5 centimeters long.if the area of the section of glass is 3.9 square centimeters,how tall is the section?

Answer: 4 with an exponent of 4 and 6 with an exponent of 2

Step-by-step explanation:

Answer:

  13/4 = 3 1/4

Step-by-step explanation:

You can convert each improper fraction to a mixed number, or vice versa to answer this.

I started by looking at the fractions with 4 in the denominator, since there are two mixed numbers with 4 in the denominator. Below we show the conversions of all of the mixed numbers.

To convert a mixed number to an improper fraction, multiply the integer by the denominator and add the numerator. Express the total over the denominator:

So, you have ...

• 1 3/4 = (4+3)/4 = 7/4
• 5 1/6 = (5·6 +1)/6 = 31/6
• 3 2/5 = (3·5 +2)/6 = 17/5
• 3 1/4 = (3·4 +1)/4 = 13/4 . . . . matches the first improper fraction

The appropriate choice is ...

  13/4 = 3 1/4

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You can also convert the improper fractions to mixed numbers. Divide the numerator by the denominator. The result is an integer and a remainder. The remainder is expressed over the divisor as a fraction:

• 13/4 = 3 remainder 1 = 3 1/4 . . . . matches the last mixed number
• 16/5 = 3 remainder 1 = 3 1/5
• 31/4 = 7 remainder 3 = 7 3/4
• 17/6 = 2 remainder 5 = 2 5/6

Answer:

○ b Corresponding Angles

Step-by-step explanation:

These two angles are a mirror,so they correspond.

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Final answer:

Angle 1 and angle 5 are alternate interior angles with the same measure.

Explanation:

Angle 1 and angle 5 are alternate interior angles formed by a transversal line intersecting two parallel lines. Alternate interior angles are equal in measure, which means that angle 1 and angle 5 have the same measure. This relationship holds true regardless of the specific measurements of angle 1 and angle 5.

Learn more about Angles here:

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Step 1: Simplify both sides of the equation.

5(−4a+8)−5(6a−5)=15

(5)(−4a)+(5)(8)+(−5)(6a)+(−5)(−5)=15

−20a+40+−30a+25=15

(−20a+−30a)+(40+25)=15

−50a+65=15

−50a+65=15

Step 2: Subtract 65 from both sides.

−50a+65−65=15−65

−50a=−50

Step 3: Divide both sides by -50.

-50a/-50=-50/-50

Therefore, the answer would be a=1.

We can factor 5 at the left hand side:

Divide both sides by 5:

Sum like terms:

Subtract 13 from both sides:

Divide both sides by -10: