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Bas_tet [7]
3 years ago
6

Angles. If m and m measures of both angles. K =

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
6 0

Step-by-step explanation:

Bing dad beans Finke little

Otrada [13]3 years ago
4 0

Answer:

105 degrees

Step-by-step explanation:

If j and k are vertical, then they are equal. So, the first progression is to set both angles equal to each other.

3x+21=5x-35

and solve for x

21=2x-35

56=2x

x=28

then plug x back into either equation (since they are equal you just need to find one)

3(28)+21 = 105

So, the angle of k or j is 105 degrees.

k = 105

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Find (12x+12)−(−5x+8). step by step answers please.
Bas_tet [7]

Answer:


Step-by-step explanation:

First add 5x to 12x which becomes 17x and subtract 8 from 12 which becomes 4. So the answer is 17x+4!

6 0
3 years ago
2. Jae creates a foot path in her front yard with two
aliina [53]

Answer:

10

Step-by-step explanation:

Just add them together also u have a lenovo chromebook

8 0
3 years ago
If you are asked to find 621 / 59 how do you know the quotient will be greater than 10 before you actually divide?
vova2212 [387]
You will know that it is greater than 10 because it goes into 621 more than 10 times
6 0
3 years ago
The altitude (i.e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at
aksik [14]
The formula for the area of a triangle is
A=\frac{1}{2}bh
\rightarrow\frac{dA}{dt}=\frac{1}{2}(b\frac{dh}{dt}+h\frac{db}{dt})

We are given:
\frac{dh}{dt}=2
\frac{dA}{dt}=4.5
h=9.5
A=92

Plug in:
4.5=\frac{1}{2}(b*2+9.5\frac{db}{dt})
We can find b with:
A=\frac{1}{2}bh\rightarrowb=\frac{2A}{h}=\frac{2*92}{9.5}=\frac{184}{9.5}
So 4.5=\frac{1}{2}(2*\frac{184}{9.5}+9.5\frac{db}{dt})
\rightarrow9=\frac{368}{9.5}+9.5\frac{db}{dt}
\rightarrow9-\frac{368}{9.5}=9.5\frac{db}{dt}
\rightarrow\frac{db}{dt}=\frac{9-\frac{368}{9.5}}{9.5}\approx-3.130

So the base is decreasing at a rate of 3.130 cm/minute.
6 0
3 years ago
A news station would like to conduct an exit poll to determine the likelihood that a highly debated amendment will receive enoug
vladimir1956 [14]

Answer:

The expression is n = (\frac{1.645*0.5}{0.03})^2

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

What expression would give the smallest sample size that will result in a margin of error of no more than 3 percentage points?

We have to find n for which M = 0.03.

We have no prior estimate for the proportion, so we use \pi = 0.5. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}

0.03\sqrt{n} = 1.645*0.5

\sqrt{n} = \frac{1.645*0.5}{0.03}

(\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2

n = (\frac{1.645*0.5}{0.03})^2

The expression is n = (\frac{1.645*0.5}{0.03})^2

3 0
3 years ago
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