M < 1 = 140
m < 2 = 40

m < 2 + 90 + m < 3 = 180..(total of angles in a triangle are 180)
40 + 90 + <3 = 180
130 + <3 = 180
m < 3 = 180 - 130
m < 3 = 50

7 0

3 years ago

Read 2 more answers

Multiply 5/7 x 1/2 <br> A: 25/77<br> B: 12/35<br> C: 1/6<br> D: 5/14

Alecsey [184]

5/7*1/2=

D. 5/14

multiplying fractions is simpler than it looks, just multiply straight across

3 0

2 years ago

A point is chosen at random on a line segment of length L. Interpret this statement, and find the probability that the ratio of

Flauer [41]

Answer:

Probability=2/5

Step-by-step explanation:

Let the line segment be AB of uniform length and x is distance

$P(\frac{min(x,L-x)}{max(x,L-x)} )$

Case 1 min(x,L-x) then

$=\frac{x}{L-x}\leq 1/4\\x$

Case 2 min(x,L-x)=L-x then

$=\frac{L-x}{x}\frac{4L}{5}\\$

So Probability

$P=\int\limits^{L/5}_0 {f(x)} \, dx+\int\limits^{L}_{4L/5} {f(x)} \, dx\\ P=\int\limits^{L/5}_0 {\frac{1}{L} } \, dx+\int\limits^L_{4L/5} {\frac{1}{L} } \, dx\\ P=\frac{1}{L}(\frac{L}{5} -0+L-\frac{4L}{5} )\\ P=\frac{1}{L} (2L/5)\\P=\frac{2}{5}$

6 0

2 years ago