Answer:
The measure of the angle NET is 65 degrees (choice #2)
Step-by-step explanation:
Because ET is tangent, <NTE is 90 degrees. Since we are given <TNG=25 degrees, we can use the fact that the sum of the angles in the triangle ENT is 180 degrees to calculate the remaining <NET:
<NET = 180 - 90 - 25 = 65 degrees
Answer:
16
Step-by-step explanation:
The variable a minus 10 equals 6. If you substituted a for 16, and subtracted 10, you'd get 6. Substituting the rest of the numbers and subtracting 10 wouldn't give you 6.
Answer:
I really don't know this is to hard
Step-by-step explanation:
like for real I don't know
The bisector of the angle at A (call it AQ) divides the segment BC into segments BQ:QC having the ratio AB:AC. Use this fact to find x.
.. 9:15 = (2x -1):3x
.. 15(2x -1) = 9*3x . . . . . the product of the means equals the product of extremes
.. 30x -15 = 27x
.. 3x = 15
.. x = 5
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According to the value of x, the bisector AQ divides the triangle into two isosceles triangles: ABQ, ACQ.
Step-by-step explanation:
y is easy.
it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.
so, Pythagoras :
y² = 8² + 6² = 64 + 36 = 100
y = 10
x is a bit more complex.
I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.
so, if we call the segments of the Hypotenuse a and b with a = 6, we have
x = a + b = 6 + b
height (8) = sqrt(a×b) = sqrt(6b)
therefore,
6b = height² = 8² = 64
b = 64/6 = 32/3 = 10 2/3 = 10.66666666...
so,
x = 6 + 10.66666... = 16.666666666...
round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67
