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Makovka662 [10]

3 years ago

9

for 9x + 25= 88, Deena wrote the situation “ i bought some shirts at the store for $9 each and received a $25 discount. My total

bill was $88. How many shirts did i buy.what mistake did deena make

1 answer:

drek231 [11]3 years ago

4 0

Well a discount would mean that you would take away $25, but the equation says "+ 25" so you could not describe it as a discount. I hope this helps!

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The measures of ∠1, ∠2, and ∠3 are 40%, 12.5%, and 25% of the sum of the angle measures of the quadrilateral. Find the value of

sweet [91]

The value of x is 81

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360°

The measure of ∠1 is 40% of the sum of the angle measures of the quadrilateral
The measure of ∠2 is 12.5% of the sum of the angle measures of the quadrilateral
The measure of ∠3 is 25% of the sum of the angle measures of the quadrilateral
We need to find the value of x

∵ The figure have 4 sides

∴ The figure is a quadrilateral

∵ The sum of the measures of the interior angles of a

quadrilateral is 360°

- Add the four angles and equate the sum by 360

∴ m∠1 + m∠2 + m∠3 + x = 360

∵ m∠1 = 40% of the sum of the angle measures of the quadrilateral

∴ m∠1 = 40% × 360 = $\frac{40}{100}$ × 360 = 144°

∵ m∠2 = 12.5% of the sum of the angle measures of the quadrilateral

∴ m∠2 = 12.5% × 360 = $\frac{12.5}{100}$ × 360 = 45°

∵ m∠3 = 25% of the sum of the angle measures of the quadrilateral

∴ m∠3 = 25% × 360 = $\frac{25}{100}$ × 360 = 90°

- Substitute these values in the equation above

∴ 144 + 45 + 90 + x = 360

- Add the like terms in the left hand side

∴ 279 + x = 360

- Subtract 279 from both sides

∴ x = 81°

The value of x is 81

Learn more:

You can learn more about the polygons in brainly.com/question/6281564

#LearnwithBrainly

5 0

2 years ago

Simply please “picture”

oksian1 [2.3K]

<h3>Answer: (-infinity, 7]</h3>

=====================================

Explanation:

The first interval (-infinity, 3) describes any number less than 3, so we can write x < 3 in short hand (where x is the unknown number).

The second interval (-1, 7] means we start at -1 and stop at 7. We do not include -1 but include 7. So we say that $-1 < x \le 7$ (ie x is between -1 and 7; exclude -1, include 7)

If you were to graph each ona number line, you would see that the too intervals have overlapping parts. The right most edge extends out as far as x = 7. There is no left most edge as it goes onforever that direction.

Therefore, the to intervals combine to get $x \le 7$ which turns into the interval notation answer of (-infinity, 7]

-----------

It might help to think of it like this: x < 3 and $-1 < x \le 7$ say "x is some number that is less than 3, or it is between -1 and 7". So x could be anything less than 7, including 7 itself.

4 0

3 years ago

Use the definition of a derivative to find f’(x).

tatyana61 [14]

Answer:

f'(x) = $-\frac{9}{x^2}$

Step-by-step explanation:

i) f(x) = 9 / x

ii) f'(x) = $$\lim_{h\to 0} \frac{f(x+h) - f(x)}{h} $ \hspace{0.2cm}$

$= $\lim_{h\to 0} \frac{\frac{9}{x+h} - \frac{9}{x} }{h} = \hspace{0.1cm} $\lim_{h\to 0} \frac{9x - 9(x+h)}{hx(x+h)} $ \hspace{0.1cm} = \hspace{0.1cm}$\lim_{h\to 0} \frac{-9h}{hx(x+h)} = $\lim_{h\to 0} \frac{-h}{x(x+h)} = \frac{-9}{x^2}$$

7 0

3 years ago

What is the length of segment AD? Round your answer to the nearest hundredth. triangles ABC and ABD in which the triangles share

igomit [66]

Answer: 5.83 units

Step-by-step explanation:

Sketching the data above,

Length of segment AD can be computed using Pythagoras rule ;

Where segment AD = hypotenuse

Segment AB = 3 = opposite

Sin Θ = opposite / hypotenuse

Sin 31° = 3 / hypotenuse

Hypotenuse × 0.5150380 = 3

Hypotenuse = 3 / 0.5150380

Hypotenuse = 5.8248120 units

Hypotenuse = 5.83 units

3 0

3 years ago

Read 2 more answers

G is between E and H, and F is the midpoint of EG. If FG=2 and FH=8, find EH.

kykrilka [37]

Answer:

EH = 10

Step-by-step explanation:

Because F is a midpoint, that means that FG and EF are congruent to each other. So, since FG = 2, that means that EF also equals 2. Because FH also includes FG, you can take the 2 from the FG, and then take that 2 away from 8. Now you know that GH = 6. All that is left is to add all 3 of the units together (2+2+6=10).

8 0

2 years ago