Angle OPM and Angle LMK

When angles are corresponding, they're essentially on the same side. It's sort of hard to explain, so I'll attach a drawing. The one on the left with the check mark is a corresponding angle, and the one on the right with the X is a same-side angle. Essentially, corresponding angles are on the same side and are also equal, unlike same-side angles, which are supplementary angles.

Let me know if you don't understand my explanation.
-T.B.

4 0

3 years ago

What is the area of a rectangle with side lengths 2/5 feet and 4/6 feet?

kotegsom [21]

Answer:

$\frac{4}{15}$ (4/15)

Step-by-step explanation:

$\frac{4}{6}=\frac{2}{3}$

$\frac{2}{5}*\frac{2}{3};$

1- Multiply the numerators:

$2*2=4$

2- Multiply the denominators:

$5*3=15$

3- Thus:

$\frac{2}{5}*\frac{2}{3}= \frac{4}{15}$

Hope this helps ;)

4 0

3 years ago

Is the expression 2x-2 equivalent to the expression 2 (x-2)?Explain.

Lady bird [3.3K]

Using the distributiver property which is
a(b+c)=ab+ac therefor
2(x-2)=2(x)+(2)(-2)
multiply
2x+-4
2x-4
2x-4=2x-2?
false

the answer is no

6 0

3 years ago

Read 2 more answers

A new surgery is successful 75% of the time. if the results of 10 such surgeries are randomly sampled, what is the probability t

valentinak56 [21]

$\text{Binomial Distribution: } P(X = r) = \binom{n}{r}(p)^{r}(1 - p)^{n - r}$
$P(X < 9) = 1 - P(X = 9) - P(x = 10)$

$P(X = 9) = \binom{10}{9}(0.75)^{9}(0.25)$
$P(X = 10) = \binom{10}{10}(0.75)^{10}$

$P(X < 9) = 1 - \binom{10}{9}(0.75)^{9}(0.25) - \binom{10}{10}(0.75)^{10}$
$\approx 0.755974769...$

4 0

3 years ago