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serious [3.7K]
3 years ago
5

What is the value of x? Enter your answer in the box. x =

Mathematics
1 answer:
Assoli18 [71]3 years ago
3 0

Answer:

x = 5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 12² = 13², so

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x = \sqrt{25} = 5

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castortr0y [4]
P= the car is blue
q= the car is spacious
p^q is true if and only if the car is both blue AND spacious
if the car is not blue, or the car is not spacious, or both then p^q is false
6 0
2 years ago
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Tourists from a tour bus were asked about places they visited during their stay in a city. The results are shown in the table.
nlexa [21]
<span>Given:

                             visited museum           didn't visit museum      Total

visited zoo                      9                                     14                           23

didn't visit zoo               5                                        2                              7

Total                             14                                     16                           30

Simply look at the table and check the number that corresponds to visitors who visited the museum but did not visit the zoo. The number is 5. 
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7 0
3 years ago
Please do 3 &amp; 4 and show work
Shalnov [3]

Answer:

3. A=B=70°; C=D=110°

4. A=90°; C=48°

Step-by-step explanation:

Same-side angles of a trapezoid add to 180°.

___

3. (2x) +(x+15) = 180

3x + 15 = 180 . . . . simplify

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x = 55

A=B=(x+15)° = (55+15)° = 70°

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4. You are given the values of one of the angles on each side, so the other can be found by subtraction:

A=180°-D = 90°

C = 180° -132° = 48°

8 0
3 years ago
Which two values of x are roots of the polynomial below?
Julli [10]

Answer:

B. and C.

Step-by-step explanation:

1. Set the polynomial equal to zero:

x² + 5x + 7 = 0

2. Plug the given values of a, b, and c into the quadratic formula:

x=\frac{-5+-\sqrt{5^{2}-4(1)(7) } }{2(1)}

3. Solve the square root:

x=\frac{-5+-\sqrt{25-4(1)(7)} }{2(1)}

x=\frac{-5+-\sqrt{25-28} }{2(1)}

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4. Simplify the rest:

x=\frac{-5+-\sqrt{-3} }{2}

5. Separate the solutions:

x=\frac{-5+\sqrt{-3} }{2}  , x=\frac{-5-\sqrt{-3} }{2}

Thus, options B and C are the answers.

hope this helps!

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2 years ago
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Murljashka [212]

Answer:

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Step-by-step explanation:

I took the test

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