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nlexa [21]
3 years ago
6

Find the angle for this problem

Mathematics
1 answer:
jolli1 [7]3 years ago
7 0

Answer:

ans: 31°

Step-by-step explanation:

<EFG = <EFH + <HFG

2x+52= 21 + ( x+31)

2x-x= 21 +31 -52

x= 0

so our question is to find <HFG so,

x+31°= 31°

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The measure of the angle formed by two intersecting perpendicular lines is 90° true or false
Alexandra [31]
It is true. Perpendicular lines are what we call to two lines that intersect together forming a right angle or an angle measuring 90 degrees. You can easily determine this if you see a horizontal and a vertical line intersect together.
8 0
3 years ago
Find the z score that cuts-off the largest 9% under the standard normal curve. a) -1.34 b) 1.34 c) 0.536 d) 1.28
topjm [15]

Answer:

b) 1.34

Step-by-step explanation:

The z score is used to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the z score is above the mean while for a negative z score implies that it is below the mean. The z score is given by:

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

For the largest 9%, the score is 100% - 9% = 91% = 0.91

From the normal distribution table, the z score that corresponds to 0.91 is 1.34

4 0
3 years ago
On the blueprint of a house, 24 millimeters represents 5 meters. The length of the living room is 30 millimeters on the blueprin
MrRa [10]

Answer:

6.25m

Step-by-step explanation:

24mm = 5m

30mm = x

x = 30 * 5/24

x = 6.25m

5 0
3 years ago
URGENT : What is the value of the expression (1 - 2) - (3 - 4) - (5 - 6) - etc.ect. - (99 - 100)?
enot [183]
-50 to -51; 49 to 50; -48 to -49; 48 to 49; 50 to 51

I just add one
5 0
3 years ago
The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph?
OLga [1]

Answer:

The coordinates of the vertex are (-5, 41)

Step-by-step explanation:

For a quadratic function of the form

f(x) = ax ^ 2 + bx + c

Where a, b and c are constants and represent the coefficients of the function, then the symmetry of the parabola always passes through its vertex.

In this case we have the following parabola

f (x) = -x2 - 10x + 16

And we know that its axis of symmetry is the line x = -5

Then we know that this axis of symmetry passes through the vertex of the parabola.

Therefore, the x coordinate of the vertex is -5.

To find the coordinate in y of the vertex, we substitute x = -5 in the function.

f (-5) = -(- 5) ^ 2 -10 (-5) +16\\\\f (-5) = 41

Finally, the vertices are in the point (-5, 41).

5 0
4 years ago
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