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Nikolay [14]
3 years ago
9

Can more than one triangle be drawn if you are given the specifications of two side lengths and one angle? yes or no

Mathematics
1 answer:
Vladimir [108]3 years ago
8 0

Answer:no

Step-by-step explanation:

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What’s the answer to this question if your right I’ll keep giving you points
andreyandreev [35.5K]

\huge\text{$m\angle O=\boxed{11^{\circ}}$}

Since we know that all angles in a triangle add up to 180^{\circ}, we can solve for x and substitute it back into (x-5)^{\circ} to find m\angle O.

\begin{aligned}m\angle N+m\angle O+m\angle P&=180\\(5x-8)+(x-5)+(6x+1)&=180\end{aligned}

Remove the parentheses and combine like terms.

\begin{aligned}5x-8+x-5+6x+1&=180\\(5x+x+6x)+(-8-5+1)&=180\\12x-12&=180\end{aligned}

Add 12 to both sides of the equation.

\begin{aligned}12x-12&=180\\12x&=192\end{aligned}

Divide both sides of the equation by 12.

\begin{aligned}x=16\end{aligned}

Now that we have the value of x, we can substitute it back into (x-5)^{\circ} to find m\angle O.

\begin{aligned}m\angle O&=(x-5)\\&=16-5\\&=\boxed{11}\end{aligned}

7 0
3 years ago
A kid’s bicycle costs $110.00 at a department store, who is offering a 15% off coupon. Determine the final price of the bike aft
iVinArrow [24]

Answer:

103.125

Step-by-step explanation:

110.00 times 15% = 16.5

16.5 times 6.25% = 103.125

Answer - 103.125

5 0
3 years ago
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Nora bought 100 Shares of a technology stock and 200 shares of a mutual fund for $3500. Her sister, Erin, bought 300 shares of t
viktelen [127]

Answer:Suppose the cost stock is x and the cost of fund is y.

Total cost of Nora's portfolio:

100x+200y=3800.....i

Total cost of Erin's portfolio

300x+50y=5350...ii

solving the simultaneous equation by elimination method we proceed as follows:

multiplying eqn  by 3 and subtracting ii we get:

550y=6050

thus

y=6050/550

y=11

next, multiply ii by 4 and subtracting i we get:

1100x=17600

x=16

thus the cost of Technology stock was $16 and the cost of mutual fund was $11

Step-by-step explanation:

4 0
3 years ago
Six out of every 25 students usually receive an A on the history test. Predict the number of students out of 125 that received a
Marina CMI [18]
Hello there!

Let’s do the work:

First what we want to do is divide 125 by 25 which will give us - 5.

Now we can do the multiplication:

6 • 6 = 30 />
Therefore you’re answer is - 30 />
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~Alexa
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3 years ago
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Solve the following problem: X^4-7x^2-30=0
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Answer:

Step-by-step explanation:

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