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irinina [24]
3 years ago
11

What kind of triangle is BCD?

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
3 0
The triangle BCD is an acute triangle
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Which octant contains the image of point A( 1, -3, 4) after a reflection about the xz - plane?
ANTONII [103]

Hi,

Concept: The given problem is based on 3 Dimensional Geometry.

Consider three axes in defined space be x, y & z in their positive directions then - x , -y & -z be their negative axes.

The coordinate of given point A(x1, y1, z1) = (1, -3, 4)

If we take the reflection of point A about xz - plane x and z coordinates will remain same and y-coordinate will give its reflection. It means the value of y-coordinate will be changed which will be +ve 3.

Hence, the reflection of A(1, -3, 4) will be A'(x2, y2,z2= (1, 3, 4).

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3 years ago
The director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,00
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Answer:

The test statistics is   z = -1  

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  100

  The null hypothesis  is  H_o : \mu = \$30000

   The alternative hypothesis is  H_a  :  \mu  < \$ 30000

   The sample mean is  \= x  = \$29,750

    The standard deviation is  \sigma  = \$2,500

    The level of significance is  \alpha =0.05

Generally the test statistics is mathematically represented as

        z = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }

=>      z = \frac{29750 - 30000 }{ \frac{ 2500}{ \sqrt{100} } }

=>      z = -1    

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3 years ago
HURRY PLS!!!!! <br><br> What term can you add to 5/6 x - 4 to make it equivalent to 1/2 x - 4
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A NUMBER , TRIPLE THAT NUMBER , AND 12 ARE ADDED THE RESULT IS 32
liraira [26]
If you want to find out what that number is, then let's call it n
n + 3n (Three times the number) + 12 = 32
Simplify
4n + 12 = 32
Subtract 12 from each side
4n = 20
Divide each side by 4
n = 5


8 0
4 years ago
Patterns are made using straight lines and arcs.
KIM [24]
5 rows were added to pattern B

7 0
3 years ago
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