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4 years ago

What is the measure of angle x? Enter your answer in the box. m∠x= °

Mathematics

2 answers:

Savatey [412]4 years ago

7 0

So the equation is

x+37+82=180

First add up 37 and 82 = 119

then you subtract 180 by 119 equal 61 then you divide by 1 or 1 so the answer is 61

Tanzania [10]4 years ago

4 0

That is a 90 degree angle

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Answer:

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3 years ago

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8. Find the value of k, if (1-1) is a solution of the equation 3x-ky =8. Also, find the coordinates of

Yakvenalex [24]

Answer:

k = 5 and (6,2).

Step-by-step explanation:

Since (1,-1) is a solution of the equation 3x - ky = 8, so the point (1,-1) will satisfy the equation above.

Hence, putting x = 1 and y = -1 in the equation will give left-hand side = right-hand side.

So, 3(1) - k(-1) = 8

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⇒ k = 5 (Answer)

Therefore, the equation of the straight line is 3x - 5y = 8 ....... (1)

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4 years ago

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larisa86 [58]

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Step-by-step explanation:

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3 years ago

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1] If 221ₓ= 25₁₀ find X<br> 2] if 3ₓ + 34ₓ - 40ₓ = 0 find x<br> 3] if 23ₓ = 1111₂ find x

Olin [163]

$2\cdot x^2+2\cdot x^1+1\cdot x^0=25\\2x^2+2x+1=25\\2x^2+2x-24=0\\x^2+x-12=0\\x^2+4x-3x-12=0\\x(x+4)-3(x+4)=0\\(x-3)(x+4)=0\\x=3 \vee x=-4$

The base can't be negative, therefore $x=3$ .

$3\cdot x^0+3\cdot x^1+4\cdot x^0-4\cdot x^1+0\cdot x^0=0\\3+3x+4-4x=0\\x=7$

$2\cdot x^1+3\cdotx^0=1\cdot 2^3+1\cdot2^2+1\cdot2^1+1\cdot2^0\\2x+1=8+4+2+1\\2x=14\\x=7$

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2 years ago

You start your working career when you are 24 years old. Each month, you deposit $144 into a pension plan. You continue making d

Inga [223]

The balance, in dollars, (future value) when the pension plan earns 6% compounded monthly is <u>$372,134.19</u>.

<h3>What is future value?</h3>

The future value refers to the compounded future value of an asset, for example, a pension plan, based on a growth rate of interest for a future period.

The future value can be determined with the FV formula, table, or using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

N (# of periods) = 528 months (68 - 24 x 12 months)

I/Y (Interest per year) = 6%

PV (Present Value) = $0

PMT (Periodic Payment) = $144

<u>Results:</u>

FV = $372,134.19

Sum of all periodic payments = $76,032 ($144 x 528)

Total Interest = $296,102.19

Thus, the balance, in dollars, (future value) when the pension plan earns 6% compounded monthly is <u>$372,134.19</u>.

Learn more about calculating future values at brainly.com/question/24703884

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