Given: y // z Prove: measure of angle 5 plus measure of angle 2 plus measure of angle 6 equals 180 degrees

Answer:

[tex] {x}^{2} + 9[/tex]

Step-by-step explanation:

[tex] {(x + 3)}^{2} - 6x \\ \\ = {x}^{2} + {3}^{2} + 2 \times x \times 3 - 6x \\ \\ = {x}^{2} + 9 + 6x - 6x \\ \\ = {x}^{2} + 9[/tex]

Answer:

The answer is x² + 9.

Step-by-step explanation:

First, you have to get rid of bracket of square :

[tex] {(a + b)}^{2} \: ⇒ \: {a}^{2} + 2ab + {b}^{2} [/tex]

[tex] {(x + 3)}^{2} [/tex]

[tex] = (x + 3)(x + 3)[/tex]

[tex] = {x}^{2} + 6x + 9[/tex]

Next, you can simplify :

[tex] {x}^{2} + 6x + 9 - 6x[/tex]

[tex] = {x}^{2} + 9[/tex]

Answer:

A peak is where the frequency is the highest, A peak is a bar that is higher than the other bars around it,  Intervals on a histogram where there are no bars mean the frequency is 0, If the graph is symmetrical, the data is evenly distributed.

Step-by-step explanation:

Answer:

  47°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

  Cos = Adjacent/Hypotenuse

The side adjacent to ∠P is the one with P in its name: RP. The hypotenuse is the side opposite the right angle, the side without the right-angle vertex in its name: PQ. So, ...

  cos(∠P) = RP/PQ = 61/89

  ∠P = arccos(61/89) ≈ 46.733°

  ∠P ≈ 47°

Answer:

47 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

Our line's equation is;

2y = -8x + 12

Dividing throughout by 2 we get;

y = -4x + 6

The slope of our line = -4

We are to choose a line whose slope is -4 (from those four options)

A slope of -4 means that for every positive 1 move along the x-axis, there is a negative 4 move along the y-axis.

The line that satisfies this condition is the third line.

Answer:

In other words Its C

Step-by-step explanation:

The guy above and Edge 2020

Answer:

[tex]=2\sqrt{3}\\\mathrm{Decimal:\quad }\:3.46410[/tex]

Step-by-step explanation:

[tex]\frac{12\sqrt{2}}{2\sqrt{6}}\\\mathrm{Divide\:the\:numbers:}\:\frac{12}{2}=6\\=\frac{6\sqrt{2}}{\sqrt{6}}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}\\\sqrt{6}=6^{\frac{1}{2}}\\=\frac{6\sqrt{2}}{6^{\frac{1}{2}}}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{6^1}{6^{\frac{1}{2}}}=6^{1-\frac{1}{2}}\\=\sqrt{2}\cdot \:6^{-\frac{1}{2}+1}\\\mathrm{Subtract\:the\:numbers:}\:1-\frac{1}{2}=\frac{1}{2}\\=6^{\frac{1}{2}}\sqrt{2}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \:a^{\frac{1}{n}}=\sqrt[n]{a}\\6^{\frac{1}{2}}=\sqrt{6}\\=\sqrt{6}\sqrt{2}\\\mathrm{Factor\:integer\:}6=2\cdot \:3\\=\sqrt{2\cdot \:3}\sqrt{2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}\\\sqrt{2\cdot \:3}=\sqrt{2}\sqrt{3}\\=\sqrt{2}\sqrt{3}\sqrt{2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a\\\sqrt{2}\sqrt{2}=2\\=2\sqrt{3}[/tex]

Answer:

Step-by-step explanation:

[tex] \frac{ 12\sqrt{2} }{2 \sqrt{6} } [/tex]

Reduce the fraction with 2

[tex] = \frac{6 \sqrt{2} }{ \sqrt{6} } [/tex]

Simplify the expression

[tex] \frac{6}{ \sqrt{3} } [/tex]

Multiply the fraction by [tex] \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]

[tex] \frac{6}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]

To multiply the fractions, multiply the numerators and denominators separately

[tex] \frac{6 \sqrt{3} }{ \sqrt{3 \times \sqrt{3} } } [/tex]

When a square root of an expression is multiplied by itself, the result is that expression

[tex] \frac{6 \sqrt{3} }{3} [/tex]

Reduce the fraction with 3

[tex] 2 \sqrt{3} [/tex]

Hope this helps...

Best regards!!

Answer:

Step-by-step explanation:

Given the equation x + 5 = 1, to get the solution to the equation, we need to find the value of x

Step 1: Subtract 5 from both sides of the equation

x+5-5 = 1-5

x = 1-5

Step 2: Find the value of the unknown variable x

x = -4

The solution to the equation is x = -4

Answer:

Step-by-step explanation:

Given that  cos θ =7/11, cosec θ = 1/sinθ in trigonometry.

Based on SOH, CAH, TOA;

cosθ = adjacent/hypotenuse = 7/11

adjacent = 7 and hyp = 11

Since sinθ = opp/hyp, we need to get the opposite to be able to calculate sinθ.

Using pythagoras theorem to get the opposite;

[tex]hyp^{2} = adj^{2} + opp ^{2} \\opp = \sqrt{hyp^{2} - adj^{2} } \\opp = \sqrt{11^{2} - 7^{2}} \\opp = \sqrt{72} \\opp = 6\sqrt{2}[/tex]

sinθ = 6√2/11

cosecθ = 1/sinθ = 1/( 6√2/11)

cosecθ = 1/sinθ = 11/6√2

Note the error; cscθ[tex]\neq[/tex] 1/cosθ but cscθ = 1/sinθ

Answer:

Is your question, how long did it take for him to do it? If so the answer is: .69 hours

Step-by-step explanation:

100 divided by 145.0441= .6894454859

Avg. Time is .69 hours

0.008 if you are looking for a decimal. If you need a fraction it would be simply 8/1000 since 8 times 1 would be 8.

Answer:

Step-by-step explanation:

8 x 1/1000

= 8/1000

Simplified to 1/125

As a decimal it’s 0.008

Answer:

The equation in slope-intercept form:

[tex]y = -3x - 4[/tex]

Step-by-step explanation:

Use the point-slope formula:

[tex]y-y_{1} = m (x-x_{1})[/tex]

Use the given slope [tex]-3[/tex] and point [tex](0,-4)[/tex] for the formula:

[tex]y + 4= -3 (x-0)[/tex]

-Then, you solve the formula:

[tex]y + 4 = -3 (x-0)[/tex]

[tex]y+4 - 4 = -3 (x-0) -4[/tex]

[tex]y = -3x - 4[/tex]

The equation, which is in slope-intercept form:

[tex]y = -3x - 4[/tex]

Answer:

D. y = -3x - 4

Step-by-step explanation:

→You can figure this out by using the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y+4=-3(x-0)[/tex]

→Distribute the -3 to (x - 0):

y + 4 = -3x

→Subtract 4 from both sides:

y = -3x - 4

Answer:

Ok, some theory first:

If we have more variables than linear independent equations, then we have infinite solutions.

If we have the same number of linearly independent equations and variables, we can have a unique solution or no solution.

we have no solution in cases where:

y = x + 3

y = x - 3

this leads to:

x + 3 = x - 3

+3 = -3

so this system has no solutions.

The first system of equations is:

y = x + 5

y = 2x + 5

Now, you can see that we have 2 variables, and 2 linear independent equations, this means that we have only one solution for this system

So here we have "One solution, the graph of these lines should intersect at one point" and the point is (0, 5)

The second system is:

y = x + 5 + x = 2x + 5

y = 2x+ 5

Both equations are the same, so here we have 2 variables and only one equation, this means that we have infinite solutions for this system.

here the correct option is the one that says "infinitely many solutions, both right side and left side are equivalent expressions"

Answer:

For y = x+5

      y=2x+5   It is one solution

For  y = X+5+X  and Y = 2X + 5   Infinitely Many Solutions both the right and left sides of the equations are equivalent expressions.  See photo below

Step-by-step explanation:

Answer:

Step-by-step explanation:

the sum of sixty-seven times a number and plus eight and nine tenth is less than or equal to three hundred and two

A) Sixty-seven times a number is less than negative three hundred two.

B) Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two.

C) Sixty-seven times a number, plus eight and nine tenths, is not less than three hundred two.

D) Sixty-seven times a number, plus eight and nine tenths, is at least negative three hundred two.

the answer closest to this is B (not greater than is the same as less than or equal to)

Answer:

B)  Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two.

Step-by-step explanation:

Let's break down this equation:

67z + 8.9 ≤ - 302

z is "a number" that is being multiplied by 67.

8.9 can be represented as 8 9/10, because 0.9 and a fraction is 9/10.

The less than or equal to sign means that the number represented by the expression 67z + 8.9 cannot be greater than -302. In other words, it is less than or equal to it.

You can see that option B is the only one that correctly compares 67z + 8.9 and -302. Therefore, that is the correct option.

Answer:

The answer is C.

Step-by-step explanation:

As you type into the calculator, you will get 0.707 :

cos(45) = √2/2

cos(45) ≈ 0.707 (3s.f)

Answer:

[tex]34.5575191895[/tex]

Step-by-step explanation:

[tex]2\pi r(180/360)\\2\pi *11*1/2\\=11\pi[/tex]

The arc length of the semicircle is half the circumference i.e., 11π.

The circumference is the perimeter of a circle.

Formula of Circumference = 2πr.

= Arc length of a semicircle  

= half of the circle's circumference

= 2πr/2

= πr

=11r

Learn more about circumference here

https://brainly.com/question/4268218

#SPJ2

Answer:

height = 6 cm

base = 12 cm

Step-by-step explanation:

Let the base of the triangle is denoted by b

Let the height of the triangle is denoted by h

We are given that base of a triangle is twice that of its height,

b = 2h

Recall that area of a triangle is given by,

A = ½×b×h

We are given that area of the triangle is 36 cm²

36 = ½×b×h

Substitute b = 2h in the above equation

36 = ½×2h×h

36 = h×h

h² = 36

h = √36

h = 6 cm

Therefore, the height of the triangle is 6 cm

b = 2h

b = 2(6)

b = 12 cm

Therefore, the base of the triangle is 12 cm

Verification:

A = ½×b×h

A = ½×12×6

A = ½×72

A = 36 cm²

Hence proved

Answer:

3876

Step-by-step explanation:

Here first even number is 26

and last even number is 126

we add both of these and divide the sum by 2

26 + 126 = 152

152/2 = 76

now there are total 51 even number from 26 to 126.

so sum of even numbers from 26 to 126 is

sum = 76 × 51 = 3876

Answer:

3,876

Step-by-step explanation:

Sequence of even numbers from 26 to 126 is given as:

26, 28, 30, 32, 35..............,126

Here, a = 26, d = 2, [tex] a_n = 126[/tex]

[tex] \because a_n = a + (n-1)d\\

\therefore 126 = 26 + (n-1) \times 2\\

\therefore 126 - 26 = 2(n-1) \\

\therefore 100= 2(n-1)\\

n - 1 = \frac{100}{2} \\

n - 1 = 50\\

n = 50 +1\\

\red{\bold{n = 51}}[/tex]

[tex]

\because S_n = \frac{n}{2}(a + a_n) \\\\

\therefore S_{51}= \frac{51}{2}(26 + 126) \\\\

\therefore S_{51}= \frac{51}{2}\times 152 \\\\

\therefore S_{51}= 51\times 76 \\\\

\huge \purple {\boxed {\therefore S_{51}=3,876}}

[/tex]

Answer:

4

4

4

4

Step-by-step explanation:

Answer:

x=−2/0

Step-by-step explanation:

Steps:

Let's solve for x.

2x+2y=2x

Step 1: Add -2x to both sides.

2x+2y+−2x=2x+−2x

2y=0

Step 2: Add -2y to both sides.

2y+−2y=0+−2y

0=−2y

Step 3: Divide both sides by 0.

00=−2y0x=−20

Answer: x=−2/0

Plz mark brainlies

Hope this helps

Answer:

10/20 for green, then 4/19 for blue. 10/20 * 4/19 = 2/19

Step-by-step explanation:

Explanation is above. If you need any more help let me know.

Answer:

Step-by-step explanation:

The standard form of a parabola is

[tex]y=ax^2+bx+c[/tex]

If we know the y intercept is (0, 400), that means that when x = 0, y = 400. That allows us to begin by finding c:

[tex]400=a(0)^2+b(0)+c[/tex] and c = 400.

Now to find a and b. Using the fact that the vertex is (1, 405), we know that h is 1 and k is 405. If

[tex]h=\frac{-b}{2a}[/tex] and h = 1, then

[tex]1=\frac{-b}{2a}[/tex] and

2a = -b so

b = -2a.  Save that for a minute or two.

If

[tex]k=c-\frac{b^2}{4a}[/tex] and k = 405, then

[tex]405=400-\frac{(-2a)^2}{4a}[/tex] and

[tex]405=400-\frac{4a^2}{4a}[/tex] and

405 = 400 - 4a and

5 = -4a so

[tex]a=-\frac{5}{4}[/tex]

We will use that a value now to find the value of b.  If b = -2a, then

[tex]b=-2(-\frac{5}{4})[/tex] and

[tex]b=\frac{10}{4}[/tex]

Writing our parabolic equation now:

[tex]y=-\frac{5}{4}x^2+\frac{10}{4}x+400[/tex]

Finding the x-intercepts is just another way of saying "factor this quadratic" so we will begin that by setting the quadratic equal to 0:

[tex]0=-\frac{5}{4}x^2+\frac{10}{4}x+400[/tex] and who hates all those fractions more than I do? Probably nobody, so we are going to get rid of them by multiplying everything by 4 to get

[tex]-5x^2+10x+1600=0[/tex] Assuming you can throw that into the quadratic formula to solve for the 2 values of x where y = 0, you'll find that the x-intercepts are

x = -16.91647287 and 18.91647287

Answer: ( -8,0),(10,0)

Step-by-step explanation:

Answer:

Sean

Step-by-step explanation:

We need to find how long Sofia spent mowing and then compare with the time Sean spent.

Sean mowed his lawn in 2 ½ hours.

Sofiia mowed her lawn for ¼ hours, then stopped. She did this 7 times. This means:

1/4 * 7 = 7/4 hours = [tex]1\frac{1}{4}[/tex] hours

Therefore, Sean spent more time mowing his lawn.

For this expression,a=15,b=7 and c=4

Good luck on your assignment

Answer:

60%.

Step-by-step explanation:

The the percent increase in the number of games the Tigers won from last year to this year is; 60%

We are told that the tigers won 12 games last year.

Now this year the tigers won 20 games.

Thus, if the total number of games to be won is n, then;

Last year = 12/n

This year = 20/n

Thus,

Percentage increase = [(12/n)/(20/n)] * 100%

Percentage increase = 12/20 * 100%

Percentage increase = 60%

Read more about Percentages at; https://brainly.com/question/843074

Answer:

Solution,

Let,

Angad get X

Peter get 3x

Alex get 6x

Now,

[tex]x + 3x + 6x = 50 \\ or \: 10x = 50 \\ or \: x = \frac{50}{10} \\ x = 5[/tex]

Replacing value,

[tex]6x \\ = 6 \times x \\ = 6 \times 5 \\ = 30[/tex]

hope this helps...

Good luck on your assignment..

Answer:

Angad gets £5

Peter gets £15

Alex gets £30

Step-by-step explanation:

Let Angad be x, Then Peter = 3x and Alex = 6x

Condition:

x+3x+6x = 50

=> 10x = 50

Dividing both sides by 10

=> x = 5

So,

Angad gets £5

Peter gets £15

Alex gets £30

Answer:

So the answer is C hope it helps

Answer:

Hope this is correct

Answer:

I) Y=5x

II) Y=50

III)X=12

Step-by-step explanation :

I) Y=5x

II) Y=5(10)

Y=50 when x=10

III)Y=5x

60=5x

X=60/5

X=12 when y=60

Hope this helps..

Answer:

y = 6x - 8

Step-by-step explanation:

line a: y = 6x- 5

10 = 6(3) - b

10 = 18 - b

10 - 18 = -b

-8 = -b

8 = b

Answer:

1 mile.

Step-by-step explanation:

3/3 mile is equal to 1 mile.

Answer:

Joe walked his dog 1 mile.

Step-by-step explanation:

3/3 =1 mile.