The triangle shown below has an area of 75^2
Find the missing side.

1. LA ≅ SA   1. Given

2. TA ≅ AT 2. Reflexive Property, which states that the mirror of oneself is the same measurement as itself.

3. ∠LAT ≅ ∠SAT

- TA ≅ AT (Reflexive property)

- SA ≅ LA (Given)

- TA is a angle bisector of ∠SAL (Definition of angle bisector). (CPCTC)

- ∠SAT ≅ ∠LAT (CPCTC)

4. ΔLAT ≅ ΔSAT (CPCTC) (Corresponding Parts of Congruent Triangles are Congruent).

Answer:

hope it helps, twanks you (owo)

Step-by-step explanation:

Solving for X in a Right Triangle

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X

Answer:

x = 5

Step-by-step explanation:

[tex] \frac{14.8}{x} + 2.4 = 5.36 \\ \\ \frac{14.8}{x} = 5.36 - 2.4 \\ \\ \frac{14.8}{x} = 2.96 \\ \\ 14.8 = 2.96x \\ \\ x = \frac{14.8}{2.96} \\ \\ x = 5[/tex]

Answer:

X>10

Step-by-step explanation:

Answer:

x = 3 and y = 5

Step-by-step explanation:

Given equations are :

x-3 = 0 ....(1)

y-5 = 0 ....(2)

We need to find the point of intersection of the lines.

Add 3 both sides in equation (1).

x-3+3=3

x = 3

Now, add 5 to both sides of the equation.

y-5+5=0+5

y = 5

Hence, the required point of intersection of the lines is x = 3 and y = 5.

Answer: R,G,Y,B,O  

Step-by-step explanation: Sample space is just any and all possible outcomes

The sample space of the given experiment is (R,G, Y, B, O). So option A is the correct one.

A sample space is a set of all the possible outcomes in a random experiment. It is usually denoted by the letter, S.

The subset of the sample space are events.

Given experiment is that you randomly choose a ball from a bag which consists of 5 balls.

Balls are 1 red (R), 1 green (G), 1 yellow (Y), 1 blue (B), and 1 orange (O).

Each ball is of different color.

When you randomly choose a ball, the chosen ball can be any of the colors given.

So sample space = (R,G, Y, B, O)

Hence the required sample space is (R,G, Y, B, O).

Learn more about Sample Space here :

https://brainly.com/question/30206035

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Answer:

Perimeter (P) is: 48

Problem to solve:

48=2(2x+3)+2(x)

48=4x+6+2x

48=6x+6

48-6=6x+6-6

42=6x

42/6=6x/6

7=x

Step-by-step explanation:

The length of a rectangle is 3 more than twice its width. The perimeter is 48 feet. Find the width. Hint: You did this in Module 3 Assignment 5. Now you have to write the equation and solve it.

a. 16

highlight%28b%29. 7

c. 8

d. 21

e. 24

:

Formula for the perimeter of a rectangle is: highlight%28P=2L%2B2W%29, P is perimeter, L is length, W is width.

Let Width (W) be:x

Then length (L)is: 2x+3

Answer:

k + a = 62

k = 31 + a

Step-by-step explanation:

Given that:

Sum of ken and Alan's age = 62

Ken is 31 years older than Alan

k + a = 62 - - - (1)

k = 31 + a - - - (2)

Hence, the system of equation which best describes the ages of Ken and Alan are:

k + a = 62

k = 31 + a

Answer: I don’t get it where the question for me to read it and find the answer, you just put this

a. -1

b. 1.75

c. -1.75

d. -2

e. -2 1/2

f.

And that all you did but where is the question????

Step-by-step explanation:

Answer:

y = -5x + 29

Step-by-step explanation:

Slope-Intercept Form of the Line

Given a line of slope m and y-intercept b, the equation of the line can be written as:

y = mx + b

The slope can be calculated by using the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x1,y1) and (x2,y2) are the points through which the line passes.

We are given the points (5,4) and (6,-1), thus:

[tex]\displaystyle m=\frac{-1-4}{6-5}=\frac{-5}{1}=-5[/tex]

Now we use one of the points to find the value of b, for example (5,4):

4 = -5(5) + b

b = 25+4 = 29

Thus, the equation of the line is:

y = -5x + 29

Answer:

6

Step-by-step explanation:

area of carpet =18

the formula to calculate the area of carpet is l×b so.

l×b=18

l×3=18

3l =18

l=18/3

L=6

Answer:

Step-by-step explanation:

The area is the product of two dimensions, therefore the scale factor is:

The length of the corresponding side will be:

Answer:

c

Step-by-step explanation:

The size 60 will produce the widest 95% confidence interval when estimating the population parameter.

'A confidence interval is the mean of your estimate plus and minus the variation in that estimate.'

According to the given problem,

IN a sample with n number of people surveyed with a probability of a success of [tex]\pi[/tex] and a confidence level of 1-α , we have the following confidence interval of proportions.

[tex]\pi[/tex] ± [tex]z\sqrt{\frac{\pi (1-\pi )}{n} }[/tex]

In which, z is the z score that has a p value of 1 -(α/2)

The margin of error is:

M = z [tex]\sqrt{\frac{\pi (1-\pi )}{n} }[/tex]

The higher the margin of error, the wider an interval is.

As the sample size increases, the margin of error decreases. If we want, the widest possible interval, we should select the smallest possible confidence interval.

Hence, we can conclude that 60 is the correct answer.

Learn more about confidence interval here:

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Answer:

63

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

women=x

daughter=y.

x=2y.

x-21=3(y-21).

2y-21=3y-63.

42=y.

x=84.

Hope this helps plz hit the crown :D

Answer:

Daughter's present age = 42 years

Women's present age =  84 years

Step-by-step explanation:

Daughter's present age = x years

Women's present age = 2*x = 2x

21 years ago:

Daughter's age = x - 21

Women's age = 2x - 21

Women's age = 3*daughter'sage

2x - 21 = 3*(x - 21)

2x - 21 = 3x - 63        {Subtract '2x' from both sides}

   - 21   = 3x - 2x - 63

   -21    = x - 63             {Add 63 to both sides}

-21 +63 =  x

42  = x

Daughter's present age = 42 years

Women's present age = 2*42 = 84 years

Answer:

It will take 1 5/7 hours

Step-by-step explanation:

3/4 of an hour is;

3/4 * 60 minutes = 45 minutes

3 1/2 acres is done in 45 minutes

8 acres will be done in x minutes

Thus, mathematically;

3 1/2 * x = 8 * 45

7x/2 = 360

7x = 2 * 360

7x = 720

x = 720/7 minutes

Let us convert this to hours

That will be;

720/7/60 = 720/(60 * 7) = 720/420 = 12/7

= 1 5/7 hours

Answer:

28

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

first convert 1 l to ml = 1000 ml

1000 divided by 5 spoons = 200

Answer:

see attachment

Step-by-step explanation:

Answer:

where is the picture of the tables

Answer:

44.1 milliliters of lemon juice

Step-by-step explanation:

Number of teaspoons of lemon juice = 9 teaspoons

Amount of milliliters in one teaspoon = 4.9 milliliters

Amount of lemon juice = Number of teaspoons × Amount of milliliters

                                      = 9 × 4.9

                                      = 44.1 milliliters

Answer:

The First one x + y = -5 the x would be -4 and the y would be -1 and for the Second one x - y = 7  The x would be -8 or -9 and the y would be -1 or -2

Step-by-step explanation:

Hope this helps you. :)      For the second one -9 - -2 = -7 and -8 - -1 =7 so either one could work.

Answer:

Hope i helped hehe

Step-by-step explanation:

The second answer there are 3 kids and one adult and the ratio would be 3:1 .

Answer:

The answer is A.

Step-by-step explanation:

A has a common vertex but the angles are not adjacent.

: )

Answer:

A

Step-by-step explanation:

Answer:

The third side of the triangle must have a length between 23 yd and 41 yd.

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

We have to side lengths: y=32 yd and z = 9 yd, thus the range of possible values for the third side x is:

32 - 9 < x < 32 + 9

23 < x < 41

The third side of the triangle must have a length between 23 yd and 41 yd.