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drek231 [11]
3 years ago
6

Please help Find the value of x, m∠5 = x-6, m∠4 = 2x+4, m∠2 = 2x-26

Mathematics
1 answer:
bazaltina [42]3 years ago
5 0

9514 1404 393

Answer:

  x = 30 2/3

Step-by-step explanation:

Angles 4 and 5 are complementary, so we have ...

  m∠4 +m∠5 = 90°

  (2x +4) +(x -6) = 90

  3x -2 = 90 . . . . . . . . . collect terms

  3x = 92 . . . . . . . . . . add 2; next, divide by 3

  x = 92/3 = 30 2/3

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Reptile [31]

1. The sum of four and nine times three

<h3>                        (4 + 9)×3</h3>

2. eighteen divided by the sum of two and seven  

                            \bold{\dfrac{18}{2+7}}

or:  18÷(2+7),   or:  18/(2+7)

3. Ten divided by the product of four and five  

                            \bold{\dfrac{10}{4\times5}}

or:  10÷(4×5), or:  10/(4×5)

4. The Difference of eleven and four times five  

<h3>                        (11 - 4)×5        </h3>

5. The sum of one and two divided by twenty

                              \bold{\dfrac{1+2}{20}}

or:   (1+2)÷20,  or:   (1+2)/20

6. The sum of two and four and six times eight  

<h3>                         (2 + 4 + 6)×8   </h3>

7. The sum of twelve and sixteen divided by the sum of three and four

                               \bold{\dfrac{12+16}{3+4}}  

or:   (12+16)÷(3+4),   or:   (12+16)/(3+4)

8. The difference of twenty-two and six divided by the sum of five and three

                              \bold{\dfrac{22-6}{5+3}}

or:  (22 - 6)÷(5+3),  or:  (22 - 6)/(5+3)    

3 0
4 years ago
A window is designed as shown below. Find the value of x.
Stolb23 [73]

Answer:

x = 18

Step-by-step explanation:

x° + 8x° + x° = 180° (Linear pair angles)

10x° = 180°

x° = 180°/10

x° = 18°

x = 18

8 0
3 years ago
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A sphere has a volume of 4500 cubic inches. What is the radius off the shpere
Goshia [24]

Answer:

The radius of sphere with volume 4500 cubic inches is 10.24 inches.

Step-by-step explanation:

Let V be the volume of the sphere

Given

Volume of sphere = V = 4500 cubic inches

Let r be the radius of the sphere

The volume of the sphere is given by the formula

V = \frac{4}{3}\pi r^3

Putting the known values

4500 = \frac{4}{3} * \frac{22}{7} * r^3\\4500 = \frac{88}{21} * r^3\\r^3 = \frac{21}{88} * 4500\\r^3 = 1073.8636

Taking cube root on both sides

\sqrt[3]{r^3} = \sqrt[3]{1073.8636} \\r = 10.2403

Rounding off to nearest hundredth

The radius is: 10.24 inches.

Hence,

The radius of sphere with volume 4500 cubic inches is 10.24 inches.

8 0
3 years ago
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lidiya [134]

Answer:

3

Step-by-step explanation:

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In total there are 3 zeros


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Step-by-step explanation:

8 0
3 years ago
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