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Andrew [12]
3 years ago
11

AB and BC are tangents. Find x.

Mathematics
1 answer:
Whitepunk [10]3 years ago
3 0

Answer:

x=74

Step-by-step explanation:

If two tangent segments are drawn from the same external point, then the segments are equal.

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Assume you know that a hot-air balloon is currently inflated with a certain amount of air and that the amount is a percent of th
Gemiola [76]

Answer:

<u>Percent air is calculated as:</u>

  • Percent air = Current amount/Total amount *100

<u>Solve for total amount of air:</u>

  • Total amount  = Current amount / Percent air * 100

Substitute the values in hand to get the answer

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3 years ago
How many Solutions does this system have? (1 point)
mixas84 [53]

The given system of equation that is 2x+y=3 and 6x=9-3y has infinite number of solutions.

Option -C.

<u>Solution:</u>

Need to determine number of solution given system of equation has.

\begin{array}{l}{2 x+y=3} \\\\ {6 x=9-3 y}\end{array}

Let us first bring the equation in standard form for comparison

\begin{array}{l}{2 x+y-3=0} \\\\ {6 x+3 y-9=0}\end{array}

\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}

To check how many solutions are there for system of equations a_{1} x+b_{1} y+c_{1}=0 \text{ and }a_{2} x+b_{2} y+c_{2}=0, we need to compare ratios of \frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}} \text { and } \frac{c_{1}}{c_{2}}

In our case,  

a_{1} = 2, b_{1}= 1\text{ and }c_{1}= -3

a_{2}  = 6, b_{2} = 3,\text{ and }c_{2} = -9

\begin{array}{l}{\Rightarrow \frac{a_{1}}{a_{2}}=\frac{2}{6}=\frac{1}{3}} \\\\ {\Rightarrow \frac{b_{1}}{b_{2}}=\frac{1}{3}} \\\\ {\Rightarrow \frac{c_{1}}{c_{2}}=\frac{-3}{-9}=\frac{1}{3}} \\\\ {\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{3}}\end{array}

As \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}, so given system of equations have infinite number of solutions.

Hence, we can conclude that system has infinite number of solutions.

5 0
3 years ago
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8 0
3 years ago
12/23<br> 19/34<br> 22/45<br> 8/41
lbvjy [14]

Why are you even asking, i'll edit the answer once I know.

7 0
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What is the value of x?​
Otrada [13]

Answer:

Where is your question?

Step-by-step explanation:

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