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eimsori [14]
2 years ago
9

In quadrilateral QRST, Angle R S T measures (5x+15)°. Angle TQR measures (4x+3)°. Circle P is inscribed with quadrilateral Q R S

T. What is the measure of angle RST? 15° 75° 105° 165°
Mathematics
2 answers:
Assoli18 [71]2 years ago
7 0

Answer:

105degrees

Step-by-step explanation:

Using the theorems that states that the sum of the opposite side of the quadrilateral is 180degrees, hence;

<RST + <TQR = 180

5x+15 + 4x+ 3 = 180

9x + 18 = 180

9x = 180 - 18

9x = 162

x = 162/9

x = 18

Since <RST = 5x+15

<RST = 5(18) + 15

<RST = 90 + 15

<RST = 105degrees

Hence the measure of <RST is 105degrees

Georgia [21]2 years ago
4 0

Answer:

c

Step-by-step explanation:

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Mrrafil [7]

Answer:

As x \to -3^{+}, f(x) \to -\infty

Step-by-step explanation:

Given:

From the graph, we can conclude that:

The function has vertical asymptotes at x=-3\ and\ x=2

The function has horizontal asymptote at f(x)=0

Vertical asymptotes are those values of 'x' for which the functions tends towards infinity. Horizontal asymptote is the value of the function as the 'x' value tends to infinity.

Now, as x \to -3^{+} means the right hand limit of the function at x=-3

From the graph, the right hand limit is the right side of the asymptote of the function at x = -3. The right side shows that the function is tending towards negative infinity.

Therefore, As x \to -3^{+}, f(x) \to -\infty

4 0
3 years ago
Graph each absolute value function. State the domain, range, and y-intercept.
Inessa05 [86]
Answer:

i. D:All real numbers

ii.R:y\le-2

iii. Y-int: b=-2.5

Step-by-step explanation:

The given function is

y=-\frac{1}{2} |x-1|-2

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The absolute value function is defined for all real values.

The domain is all real numbers.

ii. The range refers to the values of y for which x is defined.

y=-\frac{1}{2} |x-1|-2

The vertex of this function is

(1,-2)

The function is reflected in the x-axis.

The vertex is therefore the maximum point on the graph of the function.

The range is therefore;

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Or

(-\infty,2]

iii. To find the y-intercept, we substitute x=0 into the funtion.

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The y-intercept is b=-2.5

The graph is shown in the attachment.

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nika2105 [10]
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I hope this helps
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Step-by-step explanation:

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sergeinik [125]

Answer:

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Finally you add the area's together.

48

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