In the diagram shown below, RQ bisects PRS. The measures of the two congruent angles are (x + 40) and (3x - 20). Solve for "x". P Р (x + 40) 0 (3x - 20° R S VI

First we turn the 17.2 km into mm. To do that we turn it into 17,200 m then into 1,720,000 cm then into 17,200,000 mm. Then we just divide 17.2 million by 86 so 17,200,000÷86=200,000. so we know that the scale of the map is 1:200,000. Also pls mark as brainliest answer thx.

The measure of the given angle , given the dimensions of the sides , is 50 degrees .

The measure of the indicated angle can be found by using Cos function because the given dimensions are the adjacent and hypotenuse measurements to the ∠ ABC .

The measure of the angle ∠ ABC will then be :

Cos ∠ ABC = 9 / 14

Cos ∠ ABC = 0. 6428571

∠ ABC = Cos ⁻ ¹ ( 0. 6428571)

∠ ABC = 49. 99

∠ ABC = 50 degrees

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When the probability is uniformly distributed it means that the events are equally likely to occur.

The lower limit of the distribution is 12 minutes (let's call it a) and the upper limit of the distribution is 22 minutes (let's call it b).

The probability of finding a value X between c (18 minutes) and d (21 minutes) is given by the following formula:

By replacing the known values we obtain:

The probability that washing dishes tonight will take me between 18 and 21 minutes is 0.3

Answer:

C x = 28°

Step-by-step explanation:

(x +30)° + (3x +10)° + x° = 180°

x +30 + 3x + 10 + x = 180

5x + 40 = 180

5x = 140

x = 28°

Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

To find \(\displaystyle\sf x\), we can solve the proportion above:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

Taking the square root of both sides:

\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)

Simplifying the square root:

\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)

Cross-multiplying:

\(\displaystyle\sf 9x = 6.3 \times 7\)

Dividing both sides by 9:

\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)

Calculating the value:

\(\displaystyle\sf x = 4.9\)

Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Step-by-step explanation:

let's assume that the corresponding side of the second triangle is .

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

To find , we can solve the proportion above:

Taking the square root of both sides:

Simplifying the square root:

Cross-multiplying:

Dividing both sides by 9:

Calculating the value:

Therefore, the corresponding side of the second triangle is 4.9cm


hope it helped u dear...........

Answer:

R = 0≤ y ≤ 800

D = 0≤ x ≤ 16

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Answer:

(a)\(E \cap F ={(2, 6),(4, 6),(6, 2),(6, 4),(6, 6)}\)

(b) \(E^c \cap G =\{ \}\)

Step-by-step explanation:

The sample space of two dice rolled is given below:

\(\{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5,6)\\(6, 1), (6, 2), (6, 3), (6, 4), (6,5), (6,6)\}\)

For Event E (The sum is even), the outcomes are:

\((1, 1), (1, 3), (1, 5),(2, 2), (2, 4), (2, 6)\\(3, 1), (3, 3), (3, 5), (4, 2), (4, 4), (4, 6)\\(5, 1),(5, 3), (5, 5), (6, 2), (6, 4), (6,6)\)

For Event F (Rolling at least one six), the outcomes are:

\((1, 6), (2, 6), (3, 6), (4, 6),(5,6),(6, 1), (6, 2), (6, 3), (6, 4), (6,5), (6,6)\)

For Event G (The sum is eight), the outcomes are:

\((2, 6), (3, 5),(4, 4), (5, 3),(6, 2)\)

(a)\(E \cap F\)

Therefore:

\(E \cap F ={(2, 6),(4, 6),(6, 2),(6, 4),(6, 6)}\)

(b)\(E^c \cap G\)

E is the event that the sum is even

Therefore: \(E^c$ is the event that the sum is odd.\)

Since G is the event that the sum is eight( which is even), the intersection of the complement of E and G will be empty.

Therefore:

\(E^c \cap G =\{ \}\)

Answer:

Salma should land her spinner on a 1, 2 or 3 about 600 times.

Step-by-step explanation:

Since Salma has a spinner divided into 8 equal sections, and each section is bered with a number 1 through 8, and Salma is going to spin the spinner 1600 times, to determine, theoretically, how many times should she land on a 1, 2, 3 the following calculations must be performed:

8 = 100

3 = X

3 x 100/8 = X

300/8 = X

37.5 = X

100 = 1600

37.5 = X

37.5 x 1600/100 = X

60000/100 = X

600 = X

Therefore, Salma should land her spinner on a 1, 2 or 3 about 600 times.

Answer:

y = 50

x = 80

Step-by-step explanation:

An isosceles triangle therefore has both two equal sides and two equal angles.

the 2 equal angles are y and and the one next to the 130 degree

so 180- 130 = 50

y = 50

x = 180 - 50 -50 = 80 degree

Step-by-step explanation:

let, the reaming angle be z

again,

also,

The sum of the opposite angles is 180°

8z + 14z - 7 = 180°

22z = 180+7

22z = 187

z = 187/22

z = 8.5°

m∠U = 8z

m∠U = 8*8.5

m∠U = 68°

m∠S = 14z - 7

m∠S = 14*8.5 - 7

m∠S = 119 -7

m∠S = 112°

m∠T = 10z

m∠T = 10*8.5

m∠T = 85°

m∠R = 180 - 85

m∠R = 95°

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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The implications of Constructivist approach in teaching mathematics is that it helps the students to develop a better way to comprehend the content of what they are being taught.

A constructive approach of teaching mathematics believes that students construct knowledge rather than just passively take in information.

A constructive approach of teaching also believes that students integrate new knowledge with existing knowledge to create a deeper understanding of the mathematics being taught to them.

Therefore, constructive approach of teaching can help the students to comprehend the content of what they are being taught.

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Answer:

X=3 and Y=2

Step-by-step explanation:

Answer:

B $18,861.25

Step-by-step explanation:

Answer:

You need 6 lbs of red potatoes

32oz of cream cheese

43oz cream of potatoe soup

Step-by-step explanation:

Multiply all by 4

Answer:

My favorite subject in school is ELA because I love to read. Please don't judge I am not a nerd. I just like a good book every once and a while.

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

_____________Gym_______________

Answer:

Y=4 is a function

Step-by-step explanation:

And to me function is relation

Hope i got this right and have a great day :)

Answer: Yes

Step-by-step explanation:

Yes, y = 4, which is often written as f(x) = 4, is a function that means “take any input, and no matter what it is, produce an output of 4”.

Answer:

your bo**bs are so far wooooooooooooooooow!!!!

Answer:

8

Step-by-step explanation:

√72 is close to √64 than √81.

64 and 81 are perfect squares.

√64 = 8

√72 ≈ 8.485281

√81 = 9

Answer:

domain : - ∞ < x < 1

Step-by-step explanation:

the function is increasing on the upward part of the curve. that is

from negative infinity to the vertex at (1, 3 )

domain : - ∞ < x < 1

Given the following five-number summary: 2.9, 5.7, 10.0, 13.2, 21.1, so Q₁ = 5.7. This can be solved using the concept of quartile.

A kind of percentile is a quartile. The first quartile (Q₁, or the lowest quartile), which corresponds to the 25th percentile of the data, is below which 25% of the data are found. The second quartile (Q₂, or the median), which represents the 50th percentile, indicates that 50% of the data are below this quartile.

There are 5 data points, and the middle value of the lower half of the data set will represent the first quartile. So the second data value is the first quartile. So, Q₁ = 5.7

There are 5 data points, and the middle value of the upper half of the data set will represent the third quartile. The fourth data value is the third quartile. So,

Q₃ = 13.2

SO IQR will be:

= Q₃ - Q₁

= 13.7 - 5.1

= 7.5

Thus, Q₁ = 5.7

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Theoretical Probability of rolling a 2= 1/20

Experimental Probability of rolling a 2 =  1/20

Theoretical probability of rolling a 2:

The theoretical probability of an event is the ratio of the number of favourable outcomes to the total number of possible outcomes. Since there are 8 sides to the cube, the total number of possible outcomes is 8. Since the number 2 appeared 200 times out of 4000 rolls, the number of favorable outcomes is 200. Therefore, the theoretical probability of rolling a 2 is:

Theoretical Probability of rolling a 2 = Number of favourable outcomes / Total number of possible outcomes = 200/4000 = 1/20

Experimental probability of rolling a 2:

The experimental probability of an event is the ratio of the number of times the event occurred to the total number of trials. In this case, the  event is rolling a 2, which occurred 200 times out of 4000 rolls.    

Therefore, the experimental probability of rolling a 2 is:

Experimental Probability of rolling a 2 = Number of times the event occurred / Total number of trials = 200/4000 = 1/20

Comparing theoretical and experimental probability:

If the cube is fair, we would expect the theoretical probability and the experimental probability to be similar. In this case, both probabilities are 1/20, which means that the cube appears to be fair. However, we would need to conduct more trials to be more confident in our conclusion.

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Answer:

D.

Step-by-step explanation:

20,800,000 it matches more

The numerical value of x in the similar pair of triangle is 10.

A ratio is simply the relation between two amounts showing how many times a value is contained within another value.

From the diagram,

Side A of the small triangle = 10

Side B of the small triangle = x + 2

Side A of the Big triangle = 10 + x

Side B of the big triangle = x + 14

Hence;

Ratio of Side A to Side B of the small triangle = 10 / x + 2

Ratio of Side A to Side B of the Big triangle = 10 + x / x + 14

Since the triangle area similar, equate the two ratio and solve for x.

10 / ( x + 2 ) = ( 10 + x ) / ( x + 14 )

Cross multiply

10( x + 14 ) = ( 10 + x )( x + 2 )

Expand using FOIL method

10x + 140 = 10x + 20 + x² + 2x

10x + 140 = x² + 12x + 20

x² + 12x + 20 = 10x + 140

x² + 12x + 20 - 10x - 140 = 0

x² + 2x - 120 = 0

Factor the left side of the equation

( x - 10 )( x + 12 ) = 0

Hence;

x - 10 = 0 and x + 12 = 0

x = 10 and x = -12

Since the dimension of the triangle cannot be negative,

x = 10

Therefore, the value of x is 10.

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