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Dafna1 [17]
3 years ago
15

I need help on this question can someone please help me?

Mathematics
2 answers:
just olya [345]3 years ago
5 0
Opposite angles in a parallelogram are equal so
4n - 2 = 2n + 32
you move the 2n to the left side of the = (trying to get all the n values on one side of the equation) and move the - 2 to the right side of the =
when you move a value to the opposite side of the = the thing becomes the opposite. so 2n is a positive so when you move it to the left it becomes a negative so -2n. the -2 is a minus so when you move it to the right side of the = it becomes a plus so +2
4n - 2n = 32 + 2
you add/subtract the like terms so
2n = 34
then you move the 2 from the 2n to the opposite side of the = as you’re trying to get n on its own. 2n has a hidden multiply (2 x n) so when you move it to the opposite side of the = the multiply becomes the opposite which is divide so the equation is now
n = 34 ÷ 2
n = 17
Svetllana [295]3 years ago
3 0

I really hate these algebra problems pretending to be geometry.  

Anyway angles B and D  are congruent in a parallelogram.  Geometry part done.

4n - 2 = 2n + 32

2n = 34

n = 17

Answer: 17, which is the 3rd choice

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At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician
Serhud [2]

Answer:

The value of the test statistic is t = 1.97

Step-by-step explanation:

The null hypothesis is:

H_{0} = 250

The alternate hypotesis is:

H_{1} \neq 250

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the null hypothesis value, \sigma is the standard deviation and n is the size of the sample.

In this problem:

X = 251.6, \mu = 250, \sigma = 5.4, n = 44

So

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{251.6 - 250}{\frac{5.4}{\sqrt{44}}}

t = 1.97

The value of the test statistic is t = 1.97

4 0
3 years ago
If there are 52 ounces of cereal in 2 boxes, how man ounces are there in the box?
Firdavs [7]
The answer is 26. 26 ounces per box o cereal.
3 0
3 years ago
Read 2 more answers
Two triangles have side lengths 3,4,5 and 6,____10, respectively. The triangles are similar to each other.
Sergeu [11.5K]

Answer:

8

Step-by-step explanation:

3,4,5 and 6,_,10 are similar. what do you notice between the two? 6 is twice of 3. 10 is twice of 5. so then 4 would be half of 8.

hope i helped ;)

8 0
3 years ago
8. Lauren wants to buy a shirt that costs $80. Her mother told her that she could only spend $35 for the shirt. The shirt finall
Artist 52 [7]

Answer:

No. Lauren cannot buy the shirt. It costs $48 after the discount.

Step-by-step explanation:

Shirt Cost: $80

Money: $35

Discount: 40%

First, find the amount of the discount by finding 40% of the price. 40% is equal to 0.40 (or 40 divided by 100).

40% of $80 = 0.40 x 80 = $32

Since it's a discount, the final price is the original price minus the discount.

$80 - $32 = $48

So, after a 40% discount, the price is still $48. Lauren only has $35, so it will still be too expensive!

4 0
3 years ago
If sinA =3/5 and A+B =90 find cosB
-Dominant- [34]

A+B=90^o\to B=90^o-A\\\\\cos B=\cos(90^o-A)=\cos90^o\cos A+\sin90^o\sin A\\\\=\cos A+1\cdot\dfrac{3}{5}=0+\dfrac{3}{5}=\dfrac{3}{5}\\\\\boxed{\cos B=\dfrac{3}{5}}

Used:\\\\\cos(x+y)=\cos x\cos y+\sin x\sin y\\\\\cos90^o=0,\ sin90^o=1

Other method:

Look at the picture.

\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\sin A=\dfrac{3}{5}\to opposite=3\ and\ hypotenuse=5

\cos\theta=\dfrac{adjacent}{hypotenuse}\\\\adjacent=3\ and\ hypotenuse=5\to\cos B=\dfrac{3}{5}

8 0
3 years ago
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