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babymother [125]
3 years ago
5

If √2x+1-1=4, then x= ?

Mathematics
1 answer:
NISA [10]3 years ago
4 0

\sqrt{2x}  + 1 - 1 = 4 \\  \sqrt{2x}  = 4 \\ 2x =  {4}^{2} \\ x = 16 \div 2 \\ x = 8
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Please help I don't understand!
yulyashka [42]

Answer: SAS similarity theorem

Build proportional relation:

\Rightarrow \sf \dfrac{AC}{BC}  = \dfrac{EC}{DC}

\Rightarrow \sf \dfrac{200}{150}  = \dfrac{320}{240}

\Rightarrow \sf \dfrac{4}{3}  = \dfrac{4}{3}

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Theorem followed: SAS similarity theorem

5 0
2 years ago
The hypotenuse of a triangle measures 12 inches, and the measure of one of the acute angles is two less than three times the mea
olga_2 [115]

Answer:

26 sq in.

Step-by-step explanation:

Let x = measure of one acute angle

3x - 2 = measure of other acute angle

Since the triangle is a right triangle, the sum of the measures of the acute angles is 90

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4x - 2 = 90

4x = 92

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90 - 23 = 67

The acute angles are 23° and 67°

Now, let a = length of side opposite the 23° angle

sin 23 = a/12

a = 12 sin 23

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sin 67 = b/12

b = 12 sin 67

Area = 1/2ab = 1/2(12 sin 23°)(12 sin 67°)

                     = 25.90

26 sq in to the nearest inch

Wow!  That is quite the problem.

3 0
3 years ago
Ben rolls a number cube 50 times. He records the result of each roll in the table below. Based on the data, which statement is t
kow [346]

Answer:

Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.

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3 years ago
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Answer:

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Step-by-step explanation:

7 0
3 years ago
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