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DochEvi [55]
3 years ago
5

Need help with Geometry Work.

Mathematics
1 answer:
cricket20 [7]3 years ago
8 0

Answer:

FG = 16

Step-by-step explanation:

we can state that ΔEFG ≅ ΔEHG due to the Angle-Angle-Side postulate

this means that FG = GH

we can use this equation to solve for 'x':

x + 11 = 3x + 1

11 = 2x + 1

10 = 2x

5 = x

FG = x + 11  or  5 + 11, which is 16

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A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than
-BARSIC- [3]

Answer:

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

Step-by-step explanation:

Complete question

A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.

1. What is the null hypothesis?

2. What is the alternative hypothesis?

Solution :

The null hypothesis is basically the problem statement that needs to be tested.

Alternate hypothesis is opposite of that of null hypothesis

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

7 0
3 years ago
1. If the length of a rectangle is 6 more than its width, and its perimeter is 48
Salsk061 [2.6K]

For this case we have that by definition, the perimeter of the rectangle is given by:

P = 2w + 2L

Where:

W: Is the width of the rectangle

L: is the length of the rectangle

According to the data we have:

L = 6 + w\\P = 48

Substituting:

48 = 2w + 2 (6 + w)\\48 = 2w + 12 + 2w\\48 = 4w + 12\\48-12 = 4w\\36 = 4w\\w = \frac {36} {4}\\w = 9

So, the width of the rectangle is 9 inches

L = 6 + 9 = 15

So, the length of the rectangle is 15 inches

Answer:

the width of the rectangle is 9 inches

the length of the rectangle is 15 inches

5 0
3 years ago
What kind of triangle is this!!! Please Help!!!
Arisa [49]

Answer:

Right Isosceles

Step-by-step explanation:

First, let's see if this triangle is Acute, Obtuse or Right.

We see that PB and QB are perpendicular lines, meaning that they form a right angle.  Therefore, triangle PQB is a right triangle.

Next, let's see if this triangle is equilateral, isosceles or scalene. PB and QB are congruent side lengths but PQ is not congruent to either PB or QB. Therefore, because two of the side lengths are congruent to each other and one is not, then triangle PQB is a isosceles triangle.

In conclusion, triangle PQB can be categorized as a right isosceles triangle.

Hope this helps!

3 0
3 years ago
What’s all input for f(x)=3
defon

Answer:

all inputs are equal to <u>3</u>

Step-by-step explanation:

f(x) = 3 \\  =  3 \times 1\\  = 3  \times  {x}^{0}  \\ anything \: raised \: to \: 0 \: is \: 1 \\

\\  substituting \: any \: value \\  \: of \: x \: in \: f(x) \\ f(3) = 3 \times  {3}^{0}  \\  = 3 \times 1 \\ =  3 \\

\\ similarly \: all \: values \: of \: x \: will \\ give \: 3

8 0
3 years ago
√37 &lt; 5 1/4 (true or false)
Alex787 [66]
OK so on the top problem, the first thing you want to do is find the √37, once you know the answer to that you can compare it to 5 1/4 then it will be much easier to see is in fact √37 less than 5 1/4 or not.

On the bottom you want to know if 15 over the square root of ten is greater than 8.38 so what you want to do is to first find the square root of ten. after you know this then you put that number under 15. then you can compare what ever 15÷√10 is to 8.83. if you need any more info let me know.
4 0
3 years ago
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