Triangle LMN similar to triangle OPQ find the measure of side PQ round your answer to the nearest 10th if necessary

Answer:

[tex]\{\sqrt b, -\sqrt b\}[/tex]

Step-by-step explanation:

Given

[tex]a^2 - b = 0[/tex]

Required

Determine the solution

Since b is  a perfect square, the equation can be expressed as:

[tex]a^2 - (\sqrt b)^2 = 0[/tex]

Apply difference of two squares:

[tex](a - \sqrt b)(a + \sqrt b) = 0[/tex]

Split:

[tex](a - \sqrt b)= 0 \ or\ (a + \sqrt b) = 0[/tex]

Remove brackets:

[tex]a - \sqrt b= 0 \ or\ a + \sqrt b = 0[/tex]

Make a the subject in both equations

[tex]a =\sqrt b \ or\ a =-\sqrt b[/tex]

The solution can be represented as:

[tex]\{\sqrt b, -\sqrt b\}[/tex]

Option c. is the correct answer.

Answer:

b?

Step-by-step explanation:

Answer:

It is actually called a compass...

Step-by-step explanation:

Answer:

They're called geometrical proportional dividers.

Answer:

10.125 ft^2

Step-by-step explanation:

Our strategy will be to find the area of each shape, therefore finding the area of each rectangle and the triangle, and then adding all the areas together. So, for the leftmost rectangle, the area is 1.5 ft x 3 ft = 4.5 ft. For the bottom rectangle, the area is the same, due to it having the same side lengths. For the triangle, we can find the area using A = (1/2) x base x height. The base and height are both 1.5, due to them being sides of the two rectangles. Therefore, the area is 1.5 x 1.5 x (1/2) = 1.125. Then, to get the total area we have to add up the areas we've already calculated. Therefore 4.5 + 4.5 + 1.125 = 10.125 ft^2

Answer:

5.01 x 10^-2

Step-by-step explanation:

Move the decimal two times to the right so it becomes 5.01 and since you moved the decimal to the right the exponent will be negative.

Answer:

A) The factors are 5 & 6

B) There are 3 terms

C) the coefficient is 4

Step-by-step explanation:

I hope this helps <3

Answer:

bro i did not undurstand the question pls make me brillant

Step-by-step explanation:

Answer K= 20/x

Step-by-step explanation:

The value of k in the given linear equation is 20.

A linear equation is an equation where the variable (or variables) has the highest power of one.

Given,

310 - (30 × 7)=5 × k

⇒ 310 - 210 = 5k

⇒ 5k = 100

⇒ k = 100/5 = 20

Learn more about linear equation here: https://brainly.com/question/21835898

#Tag #SPJ2

Answer:

x=20

Step-by-step explanation:

2x+34= -26+5x

-2x              -2x

34=-26+3x

+26     +26

60=3x

(divide by 3)

20=x

Answer:

3000

Step-by-step explanation:

[tex]\frac{870}{x} =\frac{29}{100} \\\\29x=87000\\x=3000[/tex]

Double check:

29% = 0.29

3000(0.29) = 870

So 29% of the 3000 freshmen students taking economic majors are 870 students.

Answer:99

Step-by-step explanation:

Answer:

19 birds where there on Friday

Answer:

[tex]infinitely \: many \: solution[/tex]

Step-by-step explanation:

simplify 2 - 10 to -8.

[tex] - 8 \leqslant 22[/tex]

Since -8 ≤ 22 is always true, there are infinitely many solutions.

hence, there are infinitely many solutions for this equation.

Answer:

4,5,6

Step-by-step explanation:

*The sign of ≥ means that it must be greater or equal to 10 in this case

1). 3 isn't a possible solution due to 9 being less than 10

3+6_10

9_10

9<10

2). 4 is a possible solution due to the sum of 4 and 6 being equal to 10

4+6_10

10_10

10=10

3). 5 is a possible solution due to the sum of 5 and 6 being larger than 10

5+6_10

11_10

11>10

4).6 is a possible solution due to the sum of 6 and 6 being larger than 10

6+6_10

12_10

12>10

Hope this helped! (:

Answer:

Alan: 110 lb.

Brady: 140 lb.

Charles: 160 lb.

Damien: 120 lb.

Step-by-step explanation:

Answer:

Each side is 25 square centimeters

Step-by-step explanation:

100 divided by 4 is 25

Answer:

follow the drawings or u can use that (ayp +xnc

...) both same

Answer:

First Column top:

5. 3. 10

Second Column middle:

9. 7. 2

Third Column bottom:

4. 8. 6

Hence, the grid would be,

5. 3. 10

9. 7. 2

4. 8. 6

Answer:

16n^2+40n+25

Step-by-step explanation:

Answer:

The mistake that Andy made was on step 2 when he multiplied only the variables by 12.

Step-by-step explanation:

When you're solving an equation and are multiplying one side by a number, you need to multiply the other side by that number as well to keep the equation true. Since Andy multiplied only the variables and not the constants on each side of the equation, that means the equation would no longer be valid, and solving it would provide a wrong answer.

Answer:

person above me is right. that's is the answer.

Step-by-step explanation:

hope it helps.

Answer:

13/18 which is 72.22% chance of NOT getting a red sock

Step-by-step explanation:

As there are 18 total socks, and 13 of them are NOT red, you have a 13 out of 18 chance, or 13/18, or NOT drawing a red sock. This can be converted to the decimal, 0.7222, or percentage of 0.7222 * 100 = 72.22%

Answer:

1. 0.000345

2. 0.0345

3. 34.5

4. 3.45

do the powers

Then multiply 3.45 with the result of those powers

Step-by-step explanation:

well, there are 4× 1-9 meaning 36 cards

36/52

divide both sides by 4

9/13

Answer:

a) r = √V/6π

b) r = 8 inches

Step-by-step explanation:

a) The volume V​ (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2​ . Solve the formula for r​ .

Solving for r means making r the subject of the formula

= V=6πr²

Divide both side by 6π

V/6π = 6πr²/6π

r² = V/6π

r = √V/6π

b) Then find the radius of the cylinder when the volume is 1206 cubic feet. Round your answer to the whole number.

r = √V/6π

V = 1206 ft³

r = √1206/6π

r = √(63.98028712294193)

r = 7.9987678503 inches

Approximately r = 8 inches

Answer:

3/-2

Step-by-step explanation:

The negative sign applies for the whole fraction

Answer:

I believe its the second one. If I'm wrong, could someone correct me, Thank You.

Answer:

False

Step-by-step explanation:

102 + 150 + 41 > 500

252 + 41 > 500

293 > 500

Is 293 greater than 500?

It is not so this statement is false.

Answer:

That statement is FALSE

Step-by-step explanation:

102+150+41 = 293

293 < 500, not 293 > 500

The statement is FALSE.

Answer:

median

Step-by-step explanation:

median is the number appearing at the centre or middle after the given numbers.mean is average. mode is the number that appears more times than the others. hope it helps

Answer:

MEDIAN!!! Is the answer

Step-by-step explanation:

Hope it helps ya! :D

Answer:

7.71

Step-by-step explanation:

add it up