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Papessa [141]
3 years ago
7

M∆abc=17x+8,m∆abk=42°, and m∆kbc=12x-4. Find m∆abc

Mathematics
1 answer:
wolverine [178]3 years ago
8 0
So, we have as a given that:
measure angle ABK + measure angle KBC = measure angle ABC

Substitute with the givens and solve for x first.
42 + 12x - 4 = 17x + 8
42 - 4 - 8 = 17x - 12x
30 = 5x
x = 30/5 = 6

Therefore:
measure angle ABC = 17x + 8 = 17(6) + 8 = 110 degrees
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viktelen [127]

the process is coal formation which changes into fossil fuels through burning

4 0
3 years ago
david quiere saber cuanto requiere invertir mensualmente para obtener $30,760.08 durante 6 meses si los invierte con el 12% capi
Akimi4 [234]

Answer:

A = $32,652.44

Step-by-step explanation:

Given: Principal (P) = 30,760.08, Annual Rate (R) = 12%, Time (t in years) = 0.5

To find: How much David needs to invest monthly

Formula: A = P(1 + r/n)^n^t

Solution: To find, simply add principal + interest

First, convert R as a percent to r as a decimal

r = R/100

r = 12/100

r = 0.12 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 30,760.08(1 + 0.12/12)(12)(0.5)

A = 30,760.08(1 + 0.01)(6)

A = $32,652.44

Therefore;  

The total amount David will obtain with 30,760.08 for 6 months, 12%is $32,652.44.

4 0
3 years ago
The difference of a number p and 6
frez [133]
P-6 because you subtract the variable from the 6 
7 0
3 years ago
Write a third-degree polynomial function whose zeros are 1, −3, and 4.
WARRIOR [948]
Recall that zeroes can be transformed into factors by subtracting them from x. This gives us the following factors:

(x - 1)(x + 3)(x - 4)

Now, if you multiply the first two factors together, you get the following:

(x² + 2x - 3)

Multiply that by the last factor, (x - 4), and you get this:

(x³ + 2x² - 3x - 4x² - 8x + 12)

This can be simplified:

(x³ - 2x² - 11x + 12)

And there's your final answer. Hope this helped!


8 0
3 years ago
Read 2 more answers
The income distribution in a county is a normal distribution with a mean income of $10,000. The top 2.5% of the wage earners ear
earnstyle [38]

Answer:

<em>84%</em><em> of the wage earners earn less than $14,000 each. </em>

Step-by-step explanation:

The Empirical Rule (68-95-99.7%)-

According to this around 95% of the data will fall within two standard deviations of the mean.

As the bell curve is symmetrical, so the remaining 5% will be divided into 2 equal parts. So 2.5% will be above 2 standard deviation and 2.5% will be below 2 standard deviation.

As it is given that, the top 2.5% of the wage earners earn $18,000 or more, so 18,000 is 2 standard deviation away from the mean 10,000.

i.e 2\sigma=18000-10000=8000

\Rightarrow \sigma = 4000

We know that,

Z=\dfrac{X-\mu}{\sigma}

where,

X = raw score = 14,000

μ = 10,000

σ = 4,000

Putting the values,

Z=\dfrac{14000-10000}{4000}=\dfrac{4000}{4000}=1

Now, calculating the value from the z score table,

P(1)=0.8413=84.13\%

As the probability at z=1 is the area below that, so 84% of the wage earners earn less than $14,000 each.

6 0
4 years ago
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