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2 years ago

Which number line represents the solutions to x + 4 = 2?

Mathematics

1 answer:

k0ka [10]2 years ago

7 0

Answer:

Step-by-step explanation:

$\sqrt{(x+4)^2} = 2\\(x+4)^2 = 4\\$

x + 4 = ± 2

x = -2

x = -6

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.I want a way to solve this question

Verdich [7]

Check the picture below.

so then γ ≈ 180 - 69 - 43, γ ≈ 68.

8 0

2 years ago

If tge angle at the center is 62° and the radius is 12 cm.. find the length of arc

insens350 [35]

Answer:

Step-by-step explanation:

r = 12 cm

Theta = 62

Length of arc = $\frac{theta}{360}*(2\pi r)$

$=\frac{62}{360}*2*3.14*12$

= 12.98 cm

6 0

2 years ago

Some body can help me with a geometric mean maze

Mars2501 [29]

Answer:

See explanation

Step-by-step explanation:

Theorem 1: The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.

Theorem 2: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

1. Start point: By the 1st theorem,

$x^2=25\cdot (49-25)=25\cdot 24=5^2\cdot 2^2\cdot 6\Rightarrow x=5\cdot 2\cdot \sqrt{6}=10\sqrt{6}.$

2. South-East point from the Start: By the 2nd theorem,

$x^2=40\cdot (40+5)=4\cdot 5\cdot 2\cdot 9\cdot 5\Rightarrow x=2\cdot 5\cdot 3\cdot \sqrt{2}=30\sqrt{2}.$

3. West point from the previous: By the 2nd theorem,

$x^2=(32-20)\cdot 32=4\cdot 3\cdot 16\cdot 2\Rightarrow x=2\cdot 4\cdot \sqrt{6}=8\sqrt{6}.$

4. West point from the previous: By the 1st theorem,

$9^2=x\cdot 15\Rightarrow x=\dfrac{81}{15}=\dfrac{27}{5}=5.4.$

5. West point from the previous: By the 2nd theorem,

$10^2=8\cdot (8+x)\Rightarrow 8+x=12.5,\ x=4.5.$

6. North point from the previous: By the 1st theorem,

$x^2=48\cdot 6=6\cdot 4\cdot 2\cdot 6\Rightarrow x=6\cdot 2\cdot \sqrt{2}=12\sqrt{2}.$

7. East point from the previous: By the 2nd theorem,

$x^2=22.5\cdot 30=225\cdot 3\Rightarrow x=15\sqrt{3}.$

8. North point from the previous: By the 1st theorem,

$x^2=7.5\cdot 36=270\Rightarrow x=3\sqrt{30}.$

8. West point from the previous: By the 2nd theorem,

$x^2=12.5\cdot (12.5+13.5)=12.5\cdot 26=25\cdot 13\Rightarrow x=5\sqrt{13}.$

9. North point from the previous: By the 1st theorem,

$12^2=x\cdot 30\Rightarrow x=\dfrac{144}{30}=4.8.$

101. East point from the previous: By the 1st theorem,

$6^2=1.6\cdot (x-1.6)\Rightarrow x-1.6=22.5,\ x=24.1.$

11. East point from the previous: By the 2nd theorem,

$20^2=32\cdot (32-x)\Rightarrow 32-x=12.5,\ x=19.5.$

12. South-east point from the previous: By the 2nd theorem,

$18^2=x\cdot 21.6\Rightarrow x=15.$

13. North point=The end.

6 0

2 years ago

Evaluate 24. 5 PLS AND THANK YOU!!!

GREYUIT [131]

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

Step 1: Define

2⁴ · 5

Step 2: Evaluate

Exponents: 16 · 5
Multiplication: 80

4 0

2 years ago

Two supplementary angles differ by 34. find the angles..

antiseptic1488 [7]

Answer:

107°

73°

Step-by-step explanation:

Let the two supplementary angles be x° and y°.

x + y = 180....(1)

Since, supplementary angles differ by 34.

Therefore,

x - y = 34....(2)

Adding equations (1) & (2)

x + y = 180

x - y = 34

_________

2x = 214

x = 214/2

x = 107°

Plug x = 107 in equation (1)

107 + y = 180

y = 180- 107

y = 73°

3 0

2 years ago