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Answer:

m< LMN = 111°

Step-by-step explanation:

m< LMO + m<OMN = m< LMN

[tex]58 + 53 = 111[/tex]

Answer:

y = 6

Step-by-step explanation:

[tex]3(y - 5) + 2 = 5 \\ 3y - 15 + 2 = 5 \\ 3y - 13 = 5 \\ 3y = 5 + 13 \\ 3y = 18 \\ \\ y = \frac{18}{3} \\ \\ y = 6[/tex]

I hope I helped you^_^

The solution of the equation 3(y - 5) + 2 = 5 gives the result y = 6.

Thus, option (d) is correct.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=).

Let's solve the equation step by step:

3(y - 5) + 2 = 5

First, distribute the 3 on the left side:

3y - 15 + 2 = 5

Combine the constants on the left side:

3y - 13 = 5

Now, isolate the variable y by adding 13 to both sides:

3y = 18

Finally, divide both sides by 3 to solve for \(y\):

y = 18/3

y = 6

So, the solution to the equation is y = 6.

Thus, option (d) is correct.

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Answer:

velosity= distance ÷ time

Step-by-step explanation:

[tex]3 \times \frac{2}{5} \div \frac{2}{3} = \\ \frac{17}{5} \times \frac{3}{2} = \frac{51}{10} = 5.1[/tex]

Answer:

(x-3)(x+5) = 0

x-3 = 0 and x+5=0

x=3 and x=-5 when y=0

y = x^2+2x-15

complete the square

= x^2+2x + 1 -15 - 1

= (x+1)^2 -16

f(x) = y = (x+1)^2 -16

y intercept = -15 or the point (0,-15)

x intercepts = 3 and -5 = the two zeroes or roots, or the points (3,0) and (-5,0)

vertex or minimum point of the upward opening parabola is (-1,-16)

note the 2 zeroes are both 4 units horizontally from the vertex x value, 3 to -1 is 4, and -1 to -5 is 4.

the line of symmetry is x=-1. left and right of x=-1 are mirror images

Step-by-step explanation:

hope it helps

Answer:

20a^3 b^8

Step-by-step explanation:

( 5a^2b^3 ) ( 4ab^5 )

= ( 5 . a^2 . b^3 ) ( 4 . a . b^5 )

= ( 5 . 4 ) ( a^2 . a ) ( b^3 . b^5 )

= 20 ( a^2 . a^1 ) ( b^3 . b^5 )

= 20 ( a^( 2 + 1 ) ) ( b^( 3 + 5 ) )

= 20 ( a^3 ) ( b^8 )

= 20a^3 b^8

Answer : Diluc + Klee = Dlee

Answer:

About 186,000 miles per second.

Step-by-step explanation:

A right triangle with 45 degree angles mean bot the height and the base are the same, so Y would be 9.

The hypotenuse, which is labeled x is the length of the side multiplied by the square toot of 2.

Answer: X = 9√2

Answer:

FG= 15

Step-by-step explanation:

2x-12+3x-15=23

5x-27=23

-27+27 23+27

5x=50

5x/5=50/5

x=10

FG= 3x-15

3(10)-15

30-15

FG=15

Answer:

3x^2

Step-by-step explanation:

Factor 3x^4

3 * x * x * x * x

Factor 15x^3

3 * 5 * x * x * x

Factor 21x^2

3 * 7 * x * x

Common factor is

3 * x * x

Simplify:

3x^2

3x to the power of 2

Answer:

n=35

Step-by-step explanation:

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let's solve :

Answer:

aku ga tau Inggris AAAAAA pak yuk

The waves will cover a circular area of 7542.96 miles.

The circle is defined as the locus of the point traces around a fixed point called the center and is equidistant from the outer trace. The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that a radio station sends out radio waves in all directions from a tower at the center of the circle of broadcast range. The circle has a diameter of ​98 miles.

The area of a circle is calculated by the formula below:-

Area = ( π / 4 ) d²

Area = ( π / 4 ) ( 98 )²

Area = 7542.96 square miles

Therefore, the waves will cover a circular area of 7542.96 miles.

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Answer:3 and 1/2 hours

Step-by-step explanation: She can ride 12 miles in one hour. So 42/12 = 3 and 6/12 also known as [tex]3\frac{1}{2}[/tex] hours

Answer:

Below.

Step-by-step explanation:

Disagree.

The + 4 translates the parent function 4 units to the left ( not up).

Answer:

Sam average speed for the whole journey =  [tex]3\frac{3}{11} mph[/tex]

Step-by-step explanation:

Formula: Speed = [tex]\frac{Distance}{Time}[/tex]

i.e. Time = [tex]\frac{Distance}{Speed}[/tex]

If Sam walked x miles at 4 mph, then time taken by him = [tex]\frac{x}{4}[/tex] hours

If he then walked 2x miles at 3 mph, then time for this period =  [tex]\frac{2x}{3}[/tex]hours

Average speed = [tex]\frac{Total Distance}{Total Time}[/tex]

=[tex]\frac{x+2x}{\frac{x}{4} \frac{2x}{3} }[/tex]

=[tex]\frac{3x}{\frac{x1}{4} \frac{2}{3} }[/tex]

=[tex]\frac{3}{\frac{3+8}{12} }[/tex]

=[tex]\frac{3 x 12}{11}[/tex]

=[tex]\frac{36}{11}[/tex]

=[tex]3\frac{3}{11} mph[/tex]

Hence, Same's average speed for the whole journey =  [tex]3\frac{3}{11} mph[/tex]

Answer:

4x+10+14x+3=157

18x+13=157

18x=157-13

18x = 144

X = 144 /18

X= 8

NFE= 14x+3

= 14(8)+3

=112+3

=115

Step-by-step explanation:

Step-by-step explanation:

given :

120, 60, 30, _, _, _

find r!

solution :

r = 60/120 = ½.

=> 120,60,30, 15, 15/2 , 15/4 , ...

Step-by-step explanation:

Calcute the ratio :

r = Un/Un-1

r = 60/120

r = ½

Calculate 4th term :

Un = ar^n-1

U4 = 120 × ½^4-1

U4 = 120 × ½³

U4 = 120 × 0.125

U4 = 15

Calculate 5th term :

Un = ar^n-1

U5 = 120 × ½^5-1

U5 = 120 × ½⁴

U5 = 120 × 0.0625

U5 = 7.5

Calculate 6th term :

Un = ar^n-1

U6 = 120 × ½^6-1

U6 = 120 × ½⁵

U6 = 120 × 0.03125

U6 = 3.75

The value to be added to both sides of the equation to make the left side a perfect square trinomial is; -36.

To make the equation x2 – 12x = 1 look similar to the completing the square kind of expression where the left hand side of the equation becomes a perfect square, we must do the following;

In this scenario, the term (x² - 12x) can be rewritten as; (x - 6)² - 36.

This so because the expansion of (x - 6)² becomes;

Therefore, there's a need to subtract 36 from both sides of the equation so that the equation x2 – 12x = 1 is retained.

Therefore, the value to be added to both sides of the equation to make the left side a perfect square trinomial is; -36.

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Answer:

85

Step-by-step explanation:

Equation-

Step-by-step explanation:

x = price of pants

y = price of top

x + y = 36

x = (4/5)y

we use the second equation as substitute in the first

(4/5)y + y = 36

4y + 5y = 180

9y = 180

y = $20

x = (4/5)y = (4/5)×20 = 4×4 = $16

The answer is C (-3 , -3) and (-3 , 3)

Step-by-step explanation:

the other answer was already right.

yes, C (-3, -3) and (-3, 3)

but why ?

the slope is the y/x ratio of the x and y coordinate differences when going from one point to the other.

so, x changes 0 units. y changes 6 units (from -3 to 3).

so, the slope is 6/0 = infinite or simply undefined.

this is a vertical line at x = -3.

Answer:

3x+5

Step-by-step explanation:

The base has length 3x+5. You answered your own question darling

Answer:

C

Step-by-step explanation:

convert the fractions to decimals

The box with area of the base of the box is 112 square inches and the height is 3.5 inches has volume of 392 in³

A cuboid is a three dimensional shape polyhedral with six quadrilateral faces. The volume of a cuboid is:

Volume of cuboid = length * width * height

A box is a three dimensional shape in the form of a cuboid. The volume of a box is:

Volume of box = length * width * height

Volume of box = area of base * height

The area of the base of the box is 112 square inches and the height is 3.5 inches, hence:

Volume of box = 112 in² * 3.5 in

Volume of box = 392 in³

The box has volume of 392 in³

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Answer:

-29?

Step-by-step explanation: