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Ilya [14]
4 years ago
8

The midsegment of a trapezoid is 11 cm in length. If one of the trapezoid's bases is 17 cm long, what is the length of the other

base?
Mathematics
1 answer:
vagabundo [1.1K]4 years ago
7 0

Answer:

x must be 5

Step-by-step explanation:

Recall that the area formula for a trapezoid is

A = (average of base lengths)(width)

Here we have

                                                                   17 cm + x

      (average of base lengths) = 11 cm = ----------------

                                                                           2

So 2(11 cm) = 17 cm + x, or

      22 cm = 17 cm + x

Then x must be 5.

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Peter spent half the money on his gift card and coffee and he loaded another $10 on the gift card how much was on the gift card
cestrela7 [59]

Answer:

$80 was on the gift card to begin with

Step-by-step explanation:

Let the initial money be x

Peter spent (1/2)*x

Peter added 10

<em>Before adding more money on the gift card Peter had x -(1/2)x left on the gift card which is (1/2)x</em>

<em>After loading more money Peter had (1/2)x + 10</em>

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6 0
4 years ago
Need help on both of them
Vlad1618 [11]
7) Write the decimal number as a fraction
(over 1)
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Multiplying by 1 to eliminate 3 decimal places
we multiply top and bottom by 3 10's

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Denominator (D)
D = 1 × 10 × 10 × 10 = 1000

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Simplifying our fraction

= 2180/1000

= 109/50

= 2  9/50

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6 0
3 years ago
I NEED HELP ASAP!! WILL MAKE YOU BRAINLIEST IF RIGHT +40 points!
Simora [160]

The standard form of a quadratic equation is ,

ax² + bx + c = 0.

And the formula to find the discriminant is b² - 4ac.

Here the first step is to change the given equation into standard form. So, add 1 to each sides of the equation. Therefore,

2x² – 9x + 2+1 = –1 + 1

2x² – 9x + 3 = 0

Next step is to compare the given equation with this equation to get the value of a, b and c.

After comparing the equations we will get a = 2, b = -9 and c = 3.

So, discriminant = b²- 4ac

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= 81 - 24

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So, discriminant of the given equation is 57.

57 is greater than 0 and square root of 57 will result real number.

So, the correct choice is C: The discriminant is greater than 0, so there are two real roots.

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