Use algebra to find the measure of the angles in the pair of complementary angles below. Show your work.

Answer:

Step-by-step explanation:

v(5v-7)=0

We multiply parentheses

5v^2-7v=0

a = 5; b = -7; c = 0;

Δ = b2-4ac

Δ = -72-4·5·0

Δ = 49

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

v1 = −b−√Δ/2a

v2 = -b+√Δ/2a

√Δ = √49 = 7

v1 = -(−7)−7/2*5 = 0/10 = 0

v2 = -(−7)+7/2*5 = 14/10 =  1+2/5

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{We start off with this current equation:}[/tex]

[tex]\mathbf{v(5v - 7) = 0}[/tex]

[tex]\huge\textbf{Solving for the answer to your question:}[/tex]

[tex]\mathbf{v(5v - 7) = 0}[/tex]

[tex]\huge\textbf{Convert your current equation to:}[/tex]

[tex]\mathbf{1v(5v - 7) = 0}[/tex]

[tex]\huge\textbf{Distribute v or 1 within the parentheses:}[/tex]

[tex]\mathbf{\rightarrow 1v(5v) + 1v(-7) = 0}[/tex]

[tex]\mathbf{\rightarrow 5v^2 - 7v = 0}[/tex]

[tex]\huge\textbf{Factor the left side of the equation:}[/tex]

[tex]\mathbf{v(5v - 7) = 0}[/tex]

[tex]\huge\textbf{Fator each of the sides to equal to 0:}[/tex]

[tex]\mathbf{v = 0\ OR\ as\ in\ 5v - 7 = 0 }[/tex]

[tex]\huge\textbf{Simplify the current equation above:}[/tex]

[tex]\mathbf{v = 0\ or\ v = \dfrac{7}{5}}[/tex]

[tex]\huge\textbf{Thus, the answer should most likely be:}[/tex]

[tex]\huge\boxed{\mathsf{v = 0\ or\ v = \dfrac{7}{5}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

16/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

graph X

Step-by-step explanation:

based on the ratio of 60 miles in 75 minutes and 80 miles in 100 minutes, the ? would be '50'

Answer:

D. 28%

Step-by-step explanation:

675 people - 486 people that got in = 189 people left out

189 people out of 675 people = 189 / 675 = 0.28 or 28%

Answer:

1646.4 m^2

Hope that helps! - And if you would like the steps, I can show them. :D

Step-by-step explanation:

Answer:

3:2:25

Step-by-step explanation:

ratio=

12:8:100

6:4:50

3:2:25

We know that the two angles are equal, so we can set the two equations for the angles equal to each other and solve for [tex]x[/tex]:

[tex]3x - 6 = 2x + 8[/tex]

Let's move the terms with [tex]x[/tex] in them to the left side and the constants (just numbers) to the right side of the equation.

[tex]3x - 2x = 8 + 6[/tex]

[tex]x = 14[/tex]

Answer:

the first one is 1 the second one is 28 /5/6

Step-by-step explanation:

trust me bro

Answer:

A= -5.6666 or -17/3

B= 28.8333 or 173/6

Step-by-step explanation:

Answer:

10=Z and 10=Y

Step-by-step explanation:

since it is a 45, 45, 90 triangle

both Z and Y will be the same length

the hypotenuse has a length of [tex]x\sqrt{2}[/tex] with x being the length of the legs

Since the length of this triangle's hypotenuse is [tex]10\sqrt{2}[/tex] the side length would be 10

Hope that helps :)

Answer:

1 1/2 is__11/15___% of 7 1/2

Step-by-step explanation:

Given

Number - [tex]7\frac{1}{2} = \frac{15}{2}[/tex]

Let X % of [tex]\frac{15}{2} = \frac{11}{2}[/tex]

X % is thus equal to

[tex]\frac{11}{2} * \frac{2}{15} \\\frac{11}{15}[/tex]

Answer:

Mode=11, Median=9, Mean=8.91, Range=6

Step-by-step explanation:

Answer:

Carolyn did not distribute the -2 to both terms

Step-by-step explanation:

This was how Carolyn solved the second step:

[tex]3x-2(x+2)=7\\3x-2x+4=7[/tex]

She did multiply both terms in the parentheses by 2, but she did not change the sign for the 4. It should instead be -4 since a negative number multiplied by a positive number will always make a negative number.

Here is the correct way of solving it:

[tex]3x-2(x+2)=7\\3x-2x-4=7[/tex]

I hope this helps!

Answer: $420

Step-by-step explanation:

Percentage on commission earned = 7%

Amount of merchandise sold = $6000

Amount of commission earned = Percentage on commission earned × Amount of merchandise sold

= 7% × $6000

= 7/100 × $6000

= 0.07 × $6000

= $420

He earned $420 as commission last month.

Answer:

18.44%

Step-by-step explanation:

Let :

Percentage who rode bus to work last year = x

Percentage who ride bus to work this year = 27.1%

Percentage who ride bus to work this year = [percentage who rode bus to work last year + 47% of percentage who rode bus to work last year]

Mathematically ;

27.1% = x + 47% of x

0.271 = x + (0.47x)

0.271 = x + 0.47x

0.271 = 1.47x

x = 0.271 / 1.47

x = 0.1843537

x = 0.1843537 * 100%

x = 18.435%

x = 18.44%

Answer:

The answer is C

Answer:

The Answer is D.

Step-by-step explanation:

You just need to plug in x for the first few, if it doesn't match go to the next option.

I tried this and figured out it's d in less than a minute.

Answer:

[tex]V=471\ \text{units}^3[/tex]

Step-by-step explanation:

Given that,

Radius of the cone, r = 5 units

Height of the cone, h = 6 units

We need to find the volume of the cone. The formula for the volume of the cone is given by :

[tex]V=\pi r^2 h[/tex]

Substitute all the values,

[tex]V=3.14\times 5^2\times 6\\\\V=471\ \text{units}^3[/tex]

So, the volume of the cone is [tex]471\ \text{units}^3[/tex].

110 - 1 = 109

1 x 109 = 109

Answer:

[tex]110 - 1 = 109 \\ 200 - 91 = 109 \\ thank \: you[/tex]

Answer:

Diameter = 54 units

Step-by-step explanation:

Given:

Angle θ = 80'

Length of arc TV = 12π

Find:

Diameter

Computation:

Length of arc = [θ/360][2πr]

So,

12π = [80/360][2πr]

54 = 2r

r = 27

Diameter = 2r

So,

Diameter = 54 units

Answer:

16

Step-by-step explanation:

sin = adjacent ÷ hypotenuse.

sin 45 = x ÷ 23

0.71 = x ÷ 23

0.71 × 23 = x

x = 16.26

~ 16.

Answer:

Step-by-step explanation:

using the Pythagorean theorem     a² + b² = c²

in this triangle a = x and b = x  so   x² + x²  = c²       c is the hypotenuse

                 x² + x²  = c²

                   2x² = c²             since c = 23 solve for x

                     x² =  c² / 2

                     x   =  ± √(c² / 2)

                     x   =  ± √(23² /2)

                          = ± √(529 /2)            

                          = ± √(264.5)            

                          =  16.26          x can't be negative

        That is correct but it doesn't answer the question

                 x = ??? / √xx

           sin 45  = √2 / 2  which equals    x / 23

                      √2 / 2  =    x / 23

                       x =  23 (√2 / 2)

                          =  23 (√2)  / 2             divide the √2 numerator and demenator

                          =  23 (√2)/√2 / (2 / √2)

                           = 23 / (2 / √2)

Sorry I have no idea what goes in the green box

Answer:

S=(8*5*3)m3

=120mcube

Answer:

5 kg flour remains

Step-by-step explanation:

80% of the original 25 kg comes to 0.80(25 kg), or 20 kg.  We convert 80% to its decimal equivalent, 0.80, to get this result  

The amount of flour remaing is then (1.00 - 0.80)(25 kg), or 0.20(25 kg) = 5 kg.

5 kg flour remains.

Answer:

25 - 20 = 5 kg

Steps:

25×80/100 = 25×8/10 = 200/10 = 20 kg

25 - 20 = 5 kg

Answer:

$21847

Step-by-step explanation:

Answer:

2/1

Step-by-step explanation:

Use the equation m=[tex]\frac{y2-y1}{x2-x1}[/tex]

Answer:

wouldn't it be 20 because it says nearest 10 20 is close to 20 and 15 closer to 20 too

Answer:

y = 5 + 1.5x

Step-by-step explanation:

The law of function would be shown below:

Let us assume that the amount charged by the taxis of this company is equivalent to y.

And, x is the amount of kilometers traveled.

So as per the given statement, the taxi charged $5 plus $1.50 per km

Therefore the law of function would be

y = 5 + 1.5x.

Answer:

24

Step-by-step explanation: