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aleksandrvk [35]
2 years ago
8

Enter a range of values for x please help me

Mathematics
1 answer:
Brums [2.3K]2 years ago
4 0

Answer:

-5 < x < 9

Step-by-step explanation:

By Hinge theorem,

"If two sides of a triangle are congruent to the two sides of another triangle, and the included angle of one triangle is larger than the included angle of the second, then the 3rd side of triangle one will be larger than the third side of the second"

23 > 21

Therefore, 42° > (3x + 15)°

42° - 15° > 3x

27 > 3x

9 > x

And (3x + 15) > 0

3x > -15

x > -5

Therefore, range for x will be,

-5 < x < 9

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Which term describes a system with exactly one solution
vlada-n [284]
It is called a consistent dependent system
7 0
3 years ago
A paper sheet is cut 28 inches to the nearest inches. Find the maximum and minimum length of the patient possible.
aliina [53]

Answer:

  • max: 28.5 inches
  • min: 27.5 inches

Step-by-step explanation:

If the actual dimension were different from 28 inches by more than 1/2 inch, it would be reported as a different dimension. So, the minimum that will be reported as 28 is 27.5. The maximum that will be reported as 28 will be 28.4999999.... ≈ 28.5

The maximum and minimum length of the sheet are 28.5 inches and 27.5 inches, respectively.

4 0
3 years ago
What is the measure of angle Q to the nearest whole degree?<br> 43°<br> 49°<br> 53°<br> 58°
geniusboy [140]

Answer:

m∠Q ≈ 53°

Step-by-step explanation:

To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.

In this situation, 'A' will be ∠Q. Therefore:

17² = 18² + 20² -2(18)(20)cosQ

Simplify:

289 = 324 + 400 -2(360)cosQ

Continue simplifying down:

-435 = -720cosQ

Divide both sides by '-720':

0.604 = cosQ

cos^{-1}Q = 0.604

m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.

3 0
3 years ago
Louis found two bakeries to provide bagels for his sub shop. The first bakery offers 350 bagels for $168.00 and the second baker
borishaifa [10]

Answer:

<h2>$352</h2>

Step-by-step explanation:

Find out the price of one bagel by dividing the price by the number of bagels:

350 Bagels = $168

1 Bagel = $0.48

475 Bagels = $209

1 Bagel = $0.44

0.48 > 0.44

This means the second bakery has the lower price.

Louis wants 800 bagels, so multiply the price by 800.

0.44 * 800 = $352

You can check it's lower by comparing it with the first bakery.

0.48 * 800 = $384

384 > 352

5 0
3 years ago
Preston borrowed $75 total from 5 different banks. What integer
scZoUnD [109]

The answer is 375 because you need to do this:

75x 5

5x5=25

7x5=350

350+25=375

5 0
3 years ago
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