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3 years ago

In the diagram below, OPis circumscribed about quadrilateral ABCD. What is the value of x?

Mathematics

1 answer:

Nikitich [7]3 years ago

7 0

9514 1404 393

Answer:

C. 82

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. So ...

(x + 10°) + 88° = 180°

x = 180° -98°

x = 82°

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Alex scored 98,72, and 87 on his first three math test. What must he score on the next test to have an average of at least 86 (P

ss7ja [257]

Answer:

$\huge\boxed{\text{At least an } 87\%}$

Step-by-step explanation:

In order to find what score Alex must earn to have an average of 86 on all his tests, we need to first note what the formula to find the average of a data set is.

$\displaystyle \frac{x_1+x_2+...x_n}{n}$

What the formula means is that we have to add up all the values then divide by the total number of values.

Let's represent our unknown number as $x$ .

$\displaystyle \frac{98+72+87+x}{4} \geq 86$ (since we want AT LEAST an 86).

Let's solve this inequality for x.

$\frac{98+72+87+x}{4} \cdot 4 \geq 86 \cdot 4$
$98+72+87+x \geq 344$
$257 + x \geq 344$
$257 + x - 257 \geq 344 - 257$
$x \geq 87$

So, Alex must score at least an 87% on his next quiz to have an average of 86%.

Hope this helped!

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3 years ago

Luden [163]

0.3 x 2075. Use a calculator.

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3 years ago

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Round 24,647 to the nearest thousand

kaheart [24]

That would be 25,000

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4 years ago

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(x-7) (-9) + (x-7) ( 4x+5)

Oksana_A [137]

Answer:

4x^2−32x+28

Step-by-step explanation:

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3 years ago

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Add.<br> 0.6+(-2.1)<br> Enter your answer, as a decimal, in the box.

olasank [31]

Answer:

0.6-2.1=1.5

Step-by-step explanation:

0.6-2.1=-1.5

0.6-2.1= - I2.1-0.6I

2.1

-0.6

--------

1.5

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3 years ago