The 2 triangles are congruent
JKL=PQR
The 2 triangles are congruent JKL=PQR - 1

Answers

Answer 1
Answer:

Answer:

w = 3

The rest doesn't have enough information to complete, (Sorry for previous answer)


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Kayla has a bowl of beads that contains 42 yellow beads, 28 green beads, 12 white beads, and 18 red beads. She randomly draws a bead from the bowl.The probability of Kayla not drawing a yellow or a green bead is______ %. The probability of Kayla drawing a red or a green bead is______ %.

Answers

a) probability of she not drawing a yellow beads or green beads is probability of she drawing red or white. Red+ white = 30. There are total of 100 beads. That means that asked probability is:
30/100

b) its oposite that result from a) yellow beads + green beads = 70
probability is:  70/100

Answer:

1. 30%

2.46%

Step-by-step explanation:

The probability of Kayla not drawing a yellow or a green bead is  30 %. The probability of Kayla drawing a red or a green bead is  46 %.

Correct for plato! :)

Evaluate if j = 6: 3] - 10


PLS HELP FAST‼️

Answers

Answer:

√(25)

Step-by-step explanation:

If the floor of a square office is 225 square units, what is the perimeter of the office?

Answers

The perimeter of an office whose floor area is 225 square units is 60 units

Further Explanation

Area

  • Area is a measure of how much space is occupied by a given shape.
  • Area of a substance is determined by the type of shape in question.

For example;

  • Area of a rectangle is given by; Length multiplied by width
  • Area of a triangle = 1/2 x base x height
  • Area of a circle = πr². where r is the radius of a circle,
  • Area of a square = S², Where s is the side of the square.etc.

Perimeter

  • Perimeter is defined as the distance along a two dimension shape.  Perimeter of different shapes is given by different formulas

For example;

  • The perimeter of a rectangle = 2(length+width)
  • The perimeter of a triangle = a+b+c; where a, b and c are the sides of the triangle. etc.

In this case;

We are given the area of a square as 225 square units

Therefore; since the area of a square is given as s², where s is the side of the square.

Then; s² = 225

         s = √ 225

             = 15 units

But Perimeter of a square is given by; 4 × s

Thus; Perimeter = 4 × 15 units

                           = 60 units

Keywords; Perimeter, Area

Learn more about;

Level: Middle school

Subject; Mathematics

Topic: Area and Perimeter

Square have 4 equal sides length = a

A = 255 
A = a^2

255 = a^2   |sqrt
15 = a

P = 4a 
P = 4*15 = 60

A manufacturer of matches randomly and independently puts 23 matches in each box of matches produced. The company knows that one-tenth of 8 percent of the matches are flawed. What is the probability that a matchbox will have one or fewer matches with a flaw?

Answers

Answer:

0.9855 or 98.55%.

Step-by-step explanation:

The probability of each individual match being flawed is p = 0.008. The probability that a matchbox will have one or fewer matches with a flaw is the same as the probability of a matchbox having exactly one or exactly zero matches with a flaw:

P(X\leq 1)=P(X=0)+P(X=1)\nP(X\leq 1)=(1-p)^(23)+23*(1-p)^(23-1)*p\nP(X\leq 1)=(1-0.008)^(23)+23*(1-0.008)^(23-1)*0.008\nP(X\leq 1)=0.8313+0.1542\nP(X\leq 1)=0.9855

The probability  that a matchbox will have one or fewer matches with a flaw is 0.9855 or 98.55%.

Normal line to the curve y=ln(2x+a) at x=1 is perpendicular to x-4y+2 = 4ln3. Find the value of a.

Answers

Hello,

The normal perpendicular to x-4y+2=4ln(3) or y=(x+2-4ln(3))/4
has as slope -4

So y'=(ln(2x+a))'=1/(2x+a) *2 if x=1 , y'=1/(2+a)
Thus
1/(2+a)=-4 ==>2+a=-1/4==>a=-1/4-2==>a=-9/4

Compare and contrast the absolute value of a real number to that of a complex number.

Answers

The absolute value of a real number is a positive value of the number. Which means that the absolute value is the distance from zero of the number line. However, that of the complex numbers is the distance from the origin to the point in a complex plane. 

The definition of complex, real and pure imaginary number is as follows:

A \ \mathbf{complex \ number} \ is \ written \ in \ \mathbf{standard \ form} \ as:\n \n \ (a+bi) \n \n where \ a \ and \ b \ are \ real \ numbers. \ If \ b=0, \ the \ number \ a+bi=a \n is \ a \ \mathbf{real \ number}. \ If \ b\neq 0, \ the \ number \ (a+bi) \ is \ called \ an \n \mathbf{imaginary \ number}. \ A \ number \ of \ the \ form \ bi, \ where \ b\neq 0, \n is \ called \ a \ \mathbf{pure \ imaginary \ number}

The absolute value of this number is given by:

|a+bi|=\sqrt{a^(2)+b^(2)}

So, the absolute value of a complex number represents the distance between the origin and the point in the complex plane. On the other hand, the absolute value of a real number means only how far a number is from zero without considering any direction.