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2 years ago

8. What do you know about triangles PDX and triangle CRX? Justify your answer.

Mathematics

2 answers:

Lynna [10]2 years ago

8 0

Answer:

The triangles are Congruent for the same reason as the answer above

Step-by-step explanation:

s2008m [1.1K]2 years ago

5 0

If segment PD is parallel to segment CR then triangle PDX is similar to triangle CRX, due to angle PXD and angle CXR being congruent by the vertical angle theorem, and angle PDX and angle CRX being congruent by the alternate interior angle theorem, these 2 triangles are similar by the A.A similarity postulate.

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Simplify -4/7 + (-4/3)

Ksenya-84 [330]

-4/7 - 4/3

- 12/21 - 28/21 = -40/21

your answer is -1 19/21

hope this helps

6 0

3 years ago

During a week-long dry spell, the water level in a pond decreased by 4 in. Per day, except for two days when it decreased by hal

Helga [31]

Answer:

24 inches.

Step-by-step explanation:

Given:

During a week the water level in a pond decreased by 4 in. Per day,

For two days, it decreased by half that amount = $4\times\frac{1}{2}=2\ inches\ per\ day$

Question asked:

How much did the water level decrease in the pond in one week?

Solution:

As we know, there are 7 days in a week.

For 5 days,

Each day water level decreased by = 4 inches

In 5 days, water level decreased by = $4\times5=20\ inches$

For exceptional 2 days:

Each day water level decreased by = 2 inches

In 2 days, water level decreased by = $2\times2=4\ inches$

Water level decreased in whole week = 20 + 4 = 24 inches

Therefore, water level decreased 24 inches in the pond in one week.

7 0

3 years ago

An elecrrician charge a $50 house call fee and $65 per hour for ghe wok. Is it expensive to have electrician work for 6 hours of

chubhunter [2.5K]

It is more expensive to call him back two times for three hours.

5 0

3 years ago

Read 2 more answers

Suppose a simple random sample of size nequals81 is obtained from a population with mu equals 79 and sigma equals 18. (a) Descr

Daniel [21]

Answer:

(a) The sampling distribution of $\overline{X}$ = Population mean = 79

(b) P ( $\overline{X}$ greater than 81.2 ) = 0.1357

(c) P ( $\overline{X}$ less than or equals 74.4 ) = .0107

(d) P (77.6 less than $\overline{X}$ less than 83.2 ) = .7401

Step-by-step explanation:

Given -

Sample size ( n ) = 81

Population mean $(\nu)$ = 79

Standard deviation $(\sigma )$ = 18

(a) Describe the sampling distribution of $\overline{X}$

For large sample using central limit theorem

the sampling distribution of $\overline{X}$ = Population mean = 79

(b) What is Upper P ( $\overline{X}$ greater than 81.2 ) =

$P(\overline{X}> 81.2)$ = $P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}> \frac{81.2 - 79}{\frac{18}{\sqrt{81}}})$

= $P(Z> 1.1)$

= $1 - P(Z< 1.1)$

= 1 - .8643 =

= 0.1357

$P(\overline{X}\leq 74.4)$ = $P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}\leq \frac{74.4- 79}{\frac{18}{\sqrt{81}}})$

= $P(Z\leq -2.3)$

= .0107

(d) What is Upper P (77.6 less than $\overline{X}$ less than 83.2 ) =

$P(77.6< \overline{X}< 83.2)$ = $P(\frac{77.6- 79}{\frac{18}{\sqrt{81}}})< P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}\leq \frac{83.2- 79}{\frac{18}{\sqrt{81}}})$

= $P(- 0.7< Z< 2.1)$

= $(Z< 2.1) - (Z< -0.7)$

= 0.9821 - .2420

= 0.7401

3 0

3 years ago

A number line goes from negative 5 to positive 5. Point D is at negative 4 and point E is at positive 5. A line is drawn from po

Ronch [10]

Directed numbers are numbers that have either a positive or negative sign, which can be shown on a number line. Therefore, point F is Fifteen-halves of line segment DE.

A number line is a system that can show the positions of positive or negative numbers. It has its ends ranging from negative infinity to positive infinity. Thus any directed number can be located on the line.

Directed numbers are numbers with either a negative or positive sign, which shows their direction with respect to the number line.

In the given question, the distance between points D and E is 9 units. So that dividing 9 units in the ratio of 5 to 6, we have;

$\frac{5}{6}$ x 9 = $\frac{45}{6}$

= $\frac{15}{2}$

Therefore, the location of point F, which partitions the directed line segment from d to E into a 5:6 ratio is $\frac{15}{2}$ . Thus the answer is Fifteen-halves.

For further clarifications on a number line, visit: brainly.com/question/23379455

#SPJ1

7 0

2 years ago