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morpeh [17]
3 years ago
10

WILL MARK BRANLIEST! Find the measure of

Mathematics
1 answer:
strojnjashka [21]3 years ago
8 0

Answer:

measure of ∠ABC  is 96°

Step-by-step explanation:

Given:

Arc AC = 192°

We need to find the ∠ABC

Solution:

From the given figure we can see that.

∠ABC is angle which is inscribed in a circle and subtended by an arc AC.

Now Inscribe angle theorem which states that;

"When an angle is inscribed in the circle is equal to half of the angle of the central angle subtended by the same arc."

So we can say that;

∠ABC = \frac{1}{2} Arc AC

∠ABC = \frac{1}{2}\times 192 =96\°

Hence measure of ∠ABC  is 96°

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mote1985 [20]

Answer:

26 miles per houre

Step-by-step explanation:

sow you put 450 amd 3.4 so you subtract but first you gat to put on the 45.0 -3.4 and then you git youre answred

4 0
3 years ago
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In the diagram below, which distances would need to be the same in order for point A to be on the bisector of angle W? Explain w
Pachacha [2.7K]

Answer:

PA = XA

Step-by-step explanation:

Construction of an angle bisector,

1). Mark an arc from point W with the help of a compass which intersect lines WS and WZ at the points P and X respectively.

2). Marc two arcs of the same length form the points P and X which intersect each other at a point A.

3). Joint the points A and W.

Thus AW will be the angle bisector of angle PWX where PA = XA.

Therefore, distances PA and XA will be equal in measure.

4 0
3 years ago
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Margarita [4]

Answer:

A

Explanation:

5 0
3 years ago
Find the vertical, horizontal, and slant asymptotes, if any, for f(x)=5x^3-51x^2+77x+100/x^2-11x+24
liraira [26]

Answer:

Step-by-step explanation:

Given:  f(x)=5x^3-51x^2+77x+100/x^2-11x+24

Please use parentheses to eliminate any ambiguity:

           

      f(x) = (5x^3-51x^2+77x+100) / (x^2 - 11x + 24)

or (better yet):

                  5x^3-51x^2+77x+100

        f(x) = ---------------------------------

                      x^2 - 11x + 24

The vertical asymptotes here are at the zeros of the denominator:

x^2 - 11x + 24 = 0,  This quadratic equation has coefficients a = 1, b = -11 and c = 24.  Thus, its roots (zeros) are:

       -(-11) ± √( 121 - 4(1)(24) )

x = -------------------------------------

                    2(1)

or:

        11 ± √( 25 )

x = --------------------

                 2

or:  x = 8 and x = 3

The vertical asymptotes are x = 8 and x = 3.

If we attempt to divide x^2 - 11x + 24 into 5x^3 - 51x^2 + 77x + 100, we see that the first term of the quotient is 5x.  As x increases or decreases without bound, 5x goes to either ∞ or -∞, so we conclude that there is no horiz. asymptote.  Continuing this division results in:

5x + 4 + a fraction

This represents the slant asymptote, y = 5x + 4

7 0
2 years ago
Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees 0° and standard deviation of 1.00
nika2105 [10]

Answer:

The two readings that are cutoff values are T=1.84 deg C and T=-1.84 deg C.

Step-by-step explanation:

Thermometers rejected by measurements above normal represent 3.3% of the total, which indicates, by normal probability distribution data, that accepted thermometers are 96.7% likely to measure less than the maximum allowable temperature.  

This value (P(X>x)=0.967) corresponds to z = 1.8388. Since the mean and standard deviation values are the same as the standard normal probability distribution (mean = 0, sd = 0), the z value is equivalent to the measured value (temperature).

Given the symmetry of the probability distribution, we can affirm that the thermometers rejected by measurements below the permissible measured a temperature lower than -1.8388.

3 0
3 years ago
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