So for this I would set up a ratio. 1/10=x/380 then you cross multiply so 1x380=10x. Then solve the equation so 380/10=x and you get 38in. Hope my explanation helped!

4 0

3 years ago

Determine whether the two triangles are similar and, if they are similar, state a reason.

aleksley [76]

Answer:

Step-by-step explanation:

By triangle sum theorem,

Sum of interior angles of a triangle is 180°.

Therefore, measure of third angle in the larger triangle = 180° - (35° + 120°) = 25°

Similarly, measure of third angle in the smaller triangle = 180° - (25° + 120°)

= 35°

Since, measure of interior angles of larger triangle is equal to the measure of smaller triangle,

Both the triangles will be similar by AA property of similarity.

5 0

2 years ago

3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10

wariber [46]

Answer:

The expected value of lateness $\frac{7}{20}$ hours.

Step-by-step explanation:

The probability distribution of lateness is as follows:

Lateness P (Lateness)

On Time 4/5

1 Hour Late 1/10

2 Hours Late 1/20

3 Hours Late 1/20

The formula of expected value of a random variable is:

$E(X)=\sum x\cdot P(X=x)$

Compute the expected value of lateness as follows:

$E(X)=\sum x\cdot P(X=x)$

$=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}$

Thus, the expected value of lateness $\frac{7}{20}$ hours.

8 0

3 years ago

How to tell whether lines are parallel perpendicular or neither?

julsineya [31]

The way they are turned

6 0

2 years ago