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Amiraneli [1.4K]
3 years ago
11

Geometry: Solve for x. 1)

Mathematics
2 answers:
Minchanka [31]3 years ago
8 0

Answer:

x = 2

Step-by-step explanation:

45x - 2 = 43x + 2 (alternate interior angles will be same)

45x - 43x = 2 +2

2x = 4

x = 4 ÷2

x = 2

nlexa [21]3 years ago
3 0
Simplifying
43x + 2 = 45x + -2

Reorder the terms:
2 + 43x = 45x + -2

Reorder the terms:
2 + 43x = -2 + 45x

Solving
2 + 43x = -2 + 45x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-45x' to each side of the equation.
2 + 43x + -45x = -2 + 45x + -45x

Combine like terms: 43x + -45x = -2x
2 + -2x = -2 + 45x + -45x

Combine like terms: 45x + -45x = 0
2 + -2x = -2 + 0
2 + -2x = -2

Add '-2' to each side of the equation.
2 + -2 + -2x = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = -2 + -2
-2x = -2 + -2

Combine like terms: -2 + -2 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2
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What is the surface area of an orange with a circumference of 10 in? Round your answer to the nearest square inch.
Fed [463]

Answer:

A= 4pi r

C = 2pi r

Step-by-step explanation:

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3 years ago
A random sample of n = 36 scores is selected from a population. Which of the following distributions definitely will be normal?
Alika [10]

Answer:

The distribution of sample means will form a normal distribution

Step-by-step explanation:

4 0
3 years ago
17-5(2×-9)=-(-6×+10)+4<br><br><br><br><br> Please help me with this problem
uranmaximum [27]

Answer:

  x = 17/4 = 4.25

Step-by-step explanation:

We assume your multiplication symbol (×) is intended to be a variable (x).

Simplifying, we have ...

  17 -10x +45 = 6x -10 +4

  68 = 16x

  68/16 = x = 17/4 = 4.25

__

<em>Check</em>

17 -5(2(4.25) -9) = -(-6(4.25) +10) +4

17 -5(8.50 -9) = -(-25.5 +10) +4

17 -5(-0.5) = 15.5 +4

17 +2.5 = 19.5 . . . . . . true

4 0
3 years ago
A 1.0 l buffer solution is 0.15 m in hcn and 0.10 m in nacn. which action will destroy the buffer?
rjkz [21]

The buffer will probably be destroyed by the addition of HCN.

<h3>What is buffer solution?</h3>

A weak acid and the conjugate base of the weak acid, or a weak base and the conjugate acid of the weak base, are combined to form the buffer solution, a water-based solvent solution. They withstand being diluted or having modest amounts of acid or alkali added to them without changing their pH.

Given that a 1.0 l buffer solution is 0.15 m in HCN and 0.10 m in NaCN.

We need to find a action which one destroy the buffer solution.

A buffer is a substance made of salt and a weak acid that is beneficial. From the aforementioned chemicals, HCN is a potent acid and NaCN is a salt between HF and NaCN. Therefore, the buffer will probably be destroyed by the addition of HCN.

To learn more about buffer solution from the given link

brainly.com/question/22390063

#SPJ4

8 0
2 years ago
Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How
Rzqust [24]

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 - 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

6 0
3 years ago
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