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3 years ago

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Mathematics

2 answers:

bixtya [17]3 years ago

3 0

What is the length of PR?

d.9 is the length

The reason is because as we have 2 triangles and 21 is divided by 3 we have proof that 27/3=9.

Hope I helped!

marusya05 [52]3 years ago

3 0

You can use deductive reasoning for this. The angle measures are the same so they are similar triangles. This means that they are proportionate. Because the smaller left side is 1/3 the amount of the bigger one, you can assume that the other side follows the same pattern. The smaller side would be 1/3 the size of the bigger side and 1/3 of 27 is 9.

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Michael has 13 1/4 pizzas left in the freezer at his pizza shop. The next day a group comes in and orders 5 1/3 pizzas how many

Papessa [141]

Answer:

8 1/12

Step-by-step explanation:

13 1/4 - 5 1/3 = (13-5) + (1/4 - 1/3)

= 8 + (4/12 - 3/12)

= 8 1/12

8 0

3 years ago

What is 51/7 by 31/9 in simplest form

konstantin123 [22]

Answer:

25,095238095 = 25 2⁄21

Step-by-step explanation:

Just multiply each denominator and numerator straight across and convert to a mixed number, decimal, or whatever you want.

I am joyous to assist you anytime.

3 0

3 years ago

PLEASE HELP ME WITH THESE FOUR QUESTIONS TYSMMM!!! THANK YOU

Dima020 [189]

Answer:

$107^\circ, 133^\circ, 20^\circ, \text{and}, 23^\circ$

Step-by-step explanation:

9. For the lines 'm' and 'n' to be parallel the sum of interior angles should be 180 degrees that is:

$x+73^\circ=180^\circ$

$x=107^\circ$

10. For the lines 'm' and 'n' to be parallel the alternate exterior angles should be equal that is:

$147^\circ=x+14^\circ$

$x=147^\circ-14^\circ$

$x=133^\circ$

11. For the lines 'm' and 'n' to be parallel alternate angles should be equal that is:

$180^\circ-3x=2x+20^\circ$

Solving for 'x' we get:

$180^\circ-20^\circ=3x+2x$

$5x=160^\circ$

$x=32^\circ$

12. For the lines 'm' and 'n' to be parallel corresponding angles should be equal that is:

$(7x-11)^\circ=(4x+58)^\circ$

$7x-4x=58^\circ+11^\circ$

$3x=69^\circ$

$x=\frac{69}{3}=23^\circ$

8 0

3 years ago

I need help solving these problems please.

ddd [48]

5. 15 x 3/4 = 11.25

6. 10 x 1/2 = 5

7. 11 x 2 = 22

8. 12/1.5 = 8

5 0

3 years ago

There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters tha

uranmaximum [27]

Answer:

0.6826 = 68.26% probability that the first machine produces an acceptable cork.

0.933 = 93.3% probability that the second machine produces an acceptable cork.

The second machine is more likely to produce an acceptable cork.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

What is the probability that the first machine produces an acceptable cork?

The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm, which means that $\mu = 3, \sigma = 0.1$