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kakasveta [241]
3 years ago
15

I need help with ANGLES!!!!

Mathematics
1 answer:
miskamm [114]3 years ago
6 0
The answer is 69 degrees
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Point O is the center of the circle. What is the value of X? <br> Answer options: 24, 15, 27, 20
Tanya [424]

Answer: FIRST OPTION

Step-by-step explanation:

To solve this problem you must apply the Intersecting Secant-Tangent Theorem. By definition, when a secant line and a tangent lline and a secant segment are drawn to a circle from an exterior point:

(Tangent\ line)^2=(Secant\ line)(External\ Secant\ line)

The total measure of the secant shown is:

18+Diameter

If the radius is 7, then the diameter is:

D=7*2=14

Therefore:

Secant\ line=18+14=32

You also know that:

External\ Secant\ line=18\\Tangent\ line=x

Keeping the above on mind, you can substitute values and solve  for x:

x^{2}=32*18

x=\sqrt{576}\\x=24

4 0
3 years ago
The ratio of men to women working for a company is 4 to 5. if there are 52 men working for the company, what is the total number
weqwewe [10]
4:5 means that 52/4= 13 and 13 x 5=65 so there are 65 female employees so when you add 52+65=117
so 117 employees
4 0
3 years ago
How do I solve rate of change problems? (With picture) thanks!
denis-greek [22]

5)

\bf \begin{array}{|cc|cccc|ll} \cline{1-6} sodas&x&\underline{24}&28&\underline{32}&36\\ \cline{1-6} cost&y&\underline{18}&21&\underline{24}&27\\ \cline{1-6} \end{array}~\hspace{9em} (\stackrel{x_1}{24}~,~\stackrel{y_1}{18})\qquad (\stackrel{x_2}{32}~,~\stackrel{y_2}{24}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{24-18}{32-24}\implies \cfrac{6}{8}\implies \cfrac{3}{4}

6)

\bf \begin{array}{|cc|cc|ll} \cline{1-4} year&x&0&12\\ \cline{1-4} \$&y&720&1080\\ \cline{1-4} \end{array}~\hspace{10em} (\stackrel{x_1}{0}~,~\stackrel{y_1}{720})\qquad (\stackrel{x_2}{12}~,~\stackrel{y_2}{1080}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1080-720}{12-0}\implies \cfrac{360}{12}\implies \cfrac{30}{1}\implies 30

7)

slope as you should already know is rise/run, or how much something moves in relation something else, namely how much the y-axis go up as the x-axis moves sideways, one moves, the other follows, but the increments will be different, sometimes the same, but usually different.

the y-intercept means, when the graph of the equation touches or intercepts the y-axis, and when that happens x = 0, or the horizontal distance is at bay.

for the slope on  6), 30 or 30/1 means, for every 1 year(x) passed, the worth(y) increased by 30, or jumped by 30 units, so as the x-axis moved 1, the y-axis moved 30.  After 12 years 30 * 12 = 360, and we add the initial 720 and we end up with 1080.

the y-intercept, well, as aforementioned is when x = 0, is year 0.

6 0
3 years ago
Read 2 more answers
the area of a square vegetable garden is 75 ft squared what is the approximate length of each side of the garden
gizmo_the_mogwai [7]
75ft^2= x^2
√75 = 8.66ft
8 0
3 years ago
What is 469019 nearest 100
expeople1 [14]
It would be 469,000... no?
6 0
3 years ago
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