All categories

3 years ago

Given lines p and q are parallel, find the value of x that makes each diagram true.

Mathematics

1 answer:

Klio2033 [76]3 years ago

5 0

Answer: for a the answer is 140° and for b x=25°

Step-by-step explanation:

for a, when you have 2 parallel lines cut by a transversal,the corresponding angles are congruent. and the angle140 is congruent to the corresponding angle as they are vertical angles are congruent.

for b, angle x is congruent to the angle that is supplementary to 155 therefore 180-155=25°

You might be interested in

What is the radius of this circle !! Please answer

Free_Kalibri [48]

Answer:

its half of 8 so 8/2=4

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

QUALITY CONTROL1)Specifications for a part for a DVD player state that the part should weigh between 24.6 and 25.6 ounces. The p

Phantasy [73]

Answer:

Step-by-step explanation:

Given that,

μ = 25.1

σ = 0.26

a) since standard deviation is ideal measure of dispersion , a combination of control chart for mean x and standard deviation known as

$\bar x \\\text {and}\\\mu$

Chart is more appropriate than $\bar x$ and R - chart for controlling process average and variability

so we use

$\bar x \\\text {and}\\\mu$ charts

n = 11

we have use 2 σ confidence

so, control unit for $\bar x$ chart are

upper control limit = $\mu +2\times\frac{ \sigma}{\sqrt{n} }$

lower control limit = $\mu -2\times\frac{ \sigma}{\sqrt{n} }$

control limit = μ

μ = 25.1

upper control limit =

$25.1+2\times \frac{0.26}{\sqrt{11} } \\\\=25.2567$

lower control limit =

$25.1-2\times \frac{0.26}{\sqrt{11} } \\\\=24.9432$

Upper control limit and lower control limit are in between the specification limits , that is in between 24.9 and 25.6

so, process is in control

c) if we use 3 sigma limit with n = 11

then

upper control limit = $\mu +3\times\frac{ \sigma}{\sqrt{n} }$

$25.1+3\times\frac{0.26}{\sqrt{11} } \\\\=25.3351$

lower control limit = $\mu -2\times\frac{ \sigma}{\sqrt{n} }$

$25.1-3\times\frac{0.26}{\sqrt{11} } \\\\=24.8648$

control limit is 25.1

Then, process is in control since upper control limit and lower control limit lies between specification limit

So, process is in control

7 0

2 years ago

the scale on a blueprint for a new apartment is 1 in equals 4 feet if the length of the living room on the blueprint is 6 in, wh

lianna [129]

Answer:

<em>The actual length of the living room is 24 feet.</em>

Step-by-step explanation:

<u>Scaling</u>

The scaling on a blueprint for an apartment is:

1 inch = 4 feet

This means every 1 inch measured on the blueprint corresponds to 4 feet on the real length of the apartment.

We know the length of the living room in the blueprint is 6 inches, thus the real dimension of the living rooms is:

6 * 4 = 24 feet

The actual length of the living room is 24 feet.

8 0

2 years ago

Colton has 8 comedy movies, 6 action movies, 5 fantasy movies, and 1 drama movie on his list of favorite movies.

Tema [17]

For every 5 movies on his list, there are 2 comedy movies.

5 0

3 years ago

Read 2 more answers

Describe a real-life situation that could be modeled by dividing two rational numbers.

Aloiza [94]

Amount of dresses you could make with material and how many marbles can fit into a container.

4 0

3 years ago