Angles P and Q are complementary. If m∠P = 8x + 1 and m∠Q = 9x + 4, what is the measure of each angle?

Answer:

k = 4

Step-by-step explanation:

Step 1: Distribute

-14k + 21 = -35

Step 2: Subtract 21 on both sides

-14k = -56

Step 3: Divide both sides by -14

k = 4

Answer:

-14, -14, -56, 4.

Step-by-step explanation:

-7(2k-3)=-35

-14k + 21 = -35

-14k = -56

k = 4

So, your answers should be -14, -14, -56, 4.

Hope this helps!

Answer:

Malik substituted 60 for y instead of x.

Step-by-step explanation:

According to the given situation the computation of error that Malik make first when solving the equation is shown below:-

First, we will find the value of x

[tex]\frac{2}{5} x - 4(60) = 10[/tex]

[tex]\frac{2}{5} x = 10 + 240[/tex]

[tex]\frac{2}{5} x = 250[/tex]

x = 625

Now, we have

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

we will solve the above equation, to find the value of y

24 - 4y = 10

4y = 24 - 10

4y = 14

[tex]y = \frac{14}{4}[/tex]

[tex]y = \frac{7}{2}[/tex]

So, from the above calculation, the correct option is

Malik substituted 60 for y instead of x.

Answer:

D on EDGE

Step-by-step explanation:

Answer:

61°

Step-by-step explanation:

Given:

∆MNO,

Side MO (n) = 18

MN (o) = 6

m<O = 17°

Required:

m<N

Solution:

Using the sine rule, [tex] \frac{sin N}{n} = \frac{sin O}{o} [/tex] , solve for N.

Plug in the values of M, n, and m

[tex] \frac{sin N}{18} = \frac{sin 17}{6} [/tex]

Cross multiply

[tex] 6*sin(N) = sin(17)*18 [/tex]

[tex] 6*sin(N) = 0.292*18 [/tex]

Divide both sides by 6

[tex] \frac{6*sin N}{6} = \frac{0.292*18}{6} [/tex]

[tex] sin N = \frac{0.292*18}{6} [/tex]

[tex] sin N = \frac{5.256}{6} [/tex]

[tex] sin N = 0.876 [/tex]

[tex] N = sin^-1(0.876) [/tex]

[tex] N = 61.16 [/tex]

m<N ≈ 61°

Answer:

C = n + 2

Step-by-step explanation:

Well looking at the line on the graph we can see that the y intercept is 2 because the y intercept is the point in the line that touches the y axis.

And the slope is how fat away each points are from each other on a line so we can find the slope by using two points on the line, we can use (1,3) and (2,4).

So we set up the formula like this [tex]\frac{y^2-y^1}{x^2-x^1}[/tex].

And now we gotta plug in the numbers and solve so the answer is 4-3 = 1 and 2-1 = 1 so the slope is 1.

And we can’t write that as just n.

So the answer is C = n + 2.

For proof look at the image below.

Answer:

B, C=n+1

Step-by-step explanation:

Rlly late answer lol, the slope of the equation is 1 so it must be

C=n+b b is the y intercept, the y intercept is (0,2)

So the answer is C=n+1

Answer:

All real numbers

Step-by-step explanation:

Linear functions have a domain and range of all real numbers because they reach from -∞ to ∞ on the x-axis and y-axis.

An example is given below. The domain and range of the function are all real numbers.

Answer:

x=-9

x+2=-7

Step-by-step explanation:

Let

x and (x+2)= the two consecutive integers

x=smaller odd integer

x+2=larger odd integer

1/3 of the smaller integer plus the larger integer =7 more than the sum of the two numbers

1/3x+(x+2)= (x)+(x+2)+(7)

x/3+x+2=x+x+2+7

x+3/3=2x+9

3/3x=2x+9

x=2x+9

x-2x=9

-x=9

x= -9

The smaller odd integer=x= -9

The larger odd integer=(x+2)=-9+2

= -7

Answer:

Step-by-step explanation:

This is a binomial distribution because there are only two possible outcomes. It is either a randomly selected student is a male or a female. In this scenario, the probability of success, p is that a randomly selected student is a male and it is the same for any given number of trials. Therefore,

p = 40/100 = 0.4

The probability of failure, q would be that a randomly selected student is a female.

q = 1 - p = 1 - 0.4 = 0.6

Number of trials, n = 9

Therefore,

Mean = np = 9 × 0.4 = 3.6

Standard deviation = √npq = √9 × 0.4 × 0.6 = 1.47

The shape of the distribution is asymmetric.

Answer:

ABC≅DEF ASA POSTULATE

There must be two angles and one side of ABC congruent to DEF

Step-by-step explanation:

Answer:

BC=EF

Step-by-step explanation:

Process of elimination and I just took the test so trust me.

Answer:

B) (2,0) and (0,-4)

Step-by-step explanation:

The answer to the system of equations is where the two intersect on the graph, in this case on the points (2,0) and (0,-4)

Answer:

A. 8.9x + 1.66

Step-by-step explanation:

5.3x - 8.14 + 3.6x + 9.8 =

= 5.3x + 3.6x - 8.14 + 9.8

= 8.9x + 1.66

Answer: A. 8.9x + 1.66

Answer:

I'll make the answer short.

Step-by-step explanation:

It's (A) 8.9x + 1.66

5.3x − 8.14 + 3.6x + 9.8

group the numbers on one side and the x's on the other

5.3x + 3.6x - 8.14 + 9.8

solve

8.9x +  1.66

So the answer (A)

Answer:

12

Step-by-step explanation:

4 types of flowers, 3 messages, therefore 3x4=12

Sunflower:           Daisy:                   Tulip:                   Roses:

Birthday               Birthday               Birthday              Birthday

Holiday                Holiday                Holiday                Holiday

Anniversary         Anniversary         Anniversary        Anniversary

COUNT ALL OF THE HOLIDAYS AND THAT NUMBER IS GONNA BE YOUR ANSWER.

Answer:

[tex] - 5 \sqrt{ - 2} [/tex]

Step-by-step explanation:

We can write sq root (- 18) as = sq root [3 x 3 x (-2)]

Similarly sq root ( - 8) = sq root [2 x 2 x (-2)]

2 sq root [2 x 2 x (-2)] - 3 sq root [3 x 3 x(-2)]

We simply,

2 x2 sq root (-2) - 3 x 3 sq root (-3)

4 sq root (-2) - 9 sq root (-2)

Bcoz sq root (-2) is common in bot term so

So

Sq root (-2) (4-9)

-5 sq root (-2) answer

Answer:

Step-by-step explanation:

f(x)=-5x+5

f(-5)=-5(-5)+5

f(-5)=25+5=30

Answer:

Step-by-step explanation:

X = -5 ( Given)

Now,

[tex]f(x) = - 5x + 5[/tex]

plugging the value of X

[tex] = - 5 \times ( - 5) + 5[/tex]

Calculate the product

[tex] = 25 + 5[/tex]

Calculate the sum

[tex] = 30[/tex]

Hope this helps...

Good luck on your assignment ....

Answer:

£6.86

Step-by-step explanation:

10%=0.7

0.75*98=6.86

Answer:

£6.86

Step-by-step explanation:

98% × 7

0.98 × 7

= 6.86

98% of £7 is £6.86.

Answer:

Each side length of the square is [tex]8cm^{2}[/tex]

Step-by-step explanation:

We know that a square has 4 Equal sides.

To find the area of a triangle, you will have to use the formula [tex]A=\frac{1}{2} (bh )[/tex]

Then, you will substitute with 4 and 16.

[tex]A=\frac{1}{2} (4x16)[/tex] (x=times)

Then, simplify.

[tex]A=\frac{1}{2} (64)[/tex]

Then, simplify again :)

[tex]A=32cm^{2}[/tex]

Now, we know that the area of a triangle is [tex]32cm^{2}[/tex]. It tells us that the area of a square is double that.

So, we divide [tex]32[/tex] by [tex]4[/tex], since a square has 4 sides.

[tex]\frac{32}{4} = 8cm^{2}[/tex]

Hence, one side length of a square is [tex]8cm^{2}[/tex].

Hope that helps:D

-Jazz

Answer:

8cm

Step-by-step explanation:

First find the area of the the triangle:

4*16=64 64/2=32

The square is twice the area of the triangle:

32*2=64

A square has two lengths that are the same so that means two same numbers multiplied by each other would be 64

That number would be 8

Answer:

The circumference of circle is 14π cm.

Step-by-step explanation:

Given that the formula of circumference is C = 2×π×r where r represents radius of circle. In this case, diameter of circle is 14cm so the radius will be 7cm. Then, you have to substitute the value into the formula :

[tex]c = 2 \times \pi \times r[/tex]

[tex]let \: r = 7[/tex]

[tex]c = 2 \times \pi \times 7[/tex]

[tex]c = 14\pi \: \: cm[/tex]

Answer:

14[tex]\pi[/tex]

units = cm

Step-by-step explanation:

circumference = 2 x [tex]\pi[/tex] x r

c = 2 x [tex]\pi[/tex] x 7   - it's 7 because the diameter is 14 and radius is half the diameter

c = 14 x [tex]\pi[/tex]

c = 43.98229715

in terms of pi c = 14 [tex]\pi[/tex]

units = cm

Answer:

x = -1 ± 2i

Step-by-step explanation:

Quadratic Formula: [tex]x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

√-1 = i

Step 1: Factor GCF

3(x² + 2x + 5)

Step 2: Use quadratic formula

a = 1

b = 2

c = 5

[tex]x = \frac{-2+/-\sqrt{2^2-4(1)(5)} }{2(1)}[/tex]

[tex]x = \frac{-2+/-\sqrt{4-20} }{2}[/tex]

[tex]x = \frac{-2+/-\sqrt{-16} }{2}[/tex]

[tex]x = \frac{-2+/-i\sqrt{16} }{2}[/tex]

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

[tex]x = \frac{-2(-1+/-2i) }{2}[/tex]

x = -1 ± 2i

A diameter splits a circle in half and has an arc measure of 180 degrees

WZ = 180

You are given WX = 32

So ZWX = 180 + 32 = 212

The answer is 212

Answer:

B. 212

Step-by-step explanation:

An arc degree is the same as its corresponding angle degree. So we need to find m∠ZWX:

m∠WCR = 148° because of Supplementary Angles

m∠ZCR = m∠XCW = 32° because of Vertical Angles Theorem

m∠ZWX = m∠WCR + m∠ZCR + m∠XCW = 212°

Since our angle measure is 212°, our arc degree measure is also 212°

Answer:

8 cm apart

Step-by-step explanation:

First, let's consider our unit rate.

1 cm = 50 km

Next, divide 400 km (the distance between two cities) by 50 (the unit rate).

400/50 = 8 km

There you go! The two cities are 8 km apart!

Hope this helps you and maybe earns a brainliest!!

Bye!

If two cities are 400 km apart. Then the length of distance between the cities on this map will be 8cm.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

The scale on a map indicates that 1 cm represents 50 km.

Then the scale factor will be 1/50.

If two cities are 400 km apart.

Then the length of distance between the cities on this map will be

⇒ 400 x (1/50)

⇒ 8 cm

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ2

The probability of two non-overlapping events A or B happening is:

p(A or B) = p(A) + p(B)

if you add an image of the question you are trying to answer, I can explain it better.

Answer:

If events A and B are non-overlapping events.

P(A or B) = P(A) + P(B)

To find the probability that one or the other occurs, you add the probability of both events occurring together.

Answer:

Step-by-step explanation:

We can make use of the identities ...

  [tex]\cos{\alpha}-\cos{\beta}=-2\sin{\dfrac{\alpha+\beta}{2}}\sin{\dfrac{\alpha-\beta}{2}}\\\\\sin{\alpha}+\sin{\beta}=2\sin{\dfrac{\alpha+\beta}{2}}\cos{\dfrac{\alpha-\beta}{2}}[/tex]

These let us rewrite the equation as ...

  [tex]0=\cos{\theta}-\cos{2\theta}+\cos{3\theta}-\cos{4\theta}\\\\0=-2\sin{\dfrac{\theta+2\theta}{2}}\sin{\dfrac{\theta-2\theta}{2}}-2\sin{\dfrac{3\theta+4\theta}{2}}\sin{\dfrac{3\theta-4\theta}{2}}\\\\0=2\sin{\dfrac{\theta}{2}}\left(\sin{\dfrac{3\theta}{2}}+\sin{\dfrac{7\theta}{2}}\right)\\\\0=4\sin{\dfrac{\theta}{2}}\sin{\dfrac{3\theta+7\theta}{4}}\cos{\dfrac{3\theta-7\theta}{4}}\\\\0=4\sin{\dfrac{\theta}{2}}\sin{\dfrac{5\theta}{2}}\cos{\theta}[/tex]

The solutions are the values of θ that make the factors zero. That is, ...

  θ = 2πk . . . . for any integer k

  θ = (2/5)πk . . . . for any integer k (includes the above cases)

  θ = π(k +1/2) . . . . for any integer k

Answer:

7.8 cm

Step-by-step explanation:

Let's find the volume of the water bottle first. The radius is 5.5/2 = 2.75 cm

V = πr²h = 3.14 * 2.75² * 20 = 474.925 cm³

If we call the minimum side length of the cube as x we can write:

x³ = 474.925 because the volume of the cube is x * x * x = x³

x ≈ 8 cm

Step-by-step explanation:

sin 46°= a/12.8

a = sin46° * 12.8 = 9.20

cos59°=b/16.8

b = cos59°*16.8 = 8.65

Answer:

Step-by-step explanation:

First Question

To find a we use sine

sin ∅ = opposite / hypotenuse

a is the opposite

12.8 is the hypotenuse

sin 46 = a / 12.8

a = 12.8 sin 46

Second question

To find b we use cosine

cos∅ = adjacent / hypotenuse

b is the adjacent

16.8 is the hypotenuse

cos 59 = b / 16.8

b = 16.8 cos 59

Hope this helps you

Answer:

BA=BC

Step-by-step explanation:

Answer:

83.85%

Step-by-step explanation:

Given that:

Mean (μ) = 65 months, Standard deviation (σ) = 6 months.

The empirical rule states that about 68% of the data falls within one standard deviation (μ ± σ), 95% of the data falls within two standard deviation (μ ± 2σ) and 99.7% of the data falls within three standard deviation (μ ± 3σ).

For the question above:

68% of the data falls within one standard deviation (μ ± σ) = (65 ± 6) = (59, 71) i.e between 59 months and 71 months

95% of the data falls within one standard deviation (μ ± 2σ) = (65 ± 12) = (53, 77) i.e between 53 months and 77 months

99.7% of the data falls within one standard deviation (μ ± 3σ) = (65 ± 18) = (47, 83) i.e between 47 months and 83 months

The percentage of cars that remain in service between 47 and 59 months = (68% ÷ 2) + (99.7% ÷ 2) = 34% + 49.85 = 83.85%

Answer:

13/t

Step-by-step explanation:

you add the numerators, because the denominators are the same variable.

Answer:

Most likely height after 8 weeks

y(8) =  7.4 cm

Step-by-step explanation:

The regression line can be represented by

y = (4/5)x + 1  for x (#weeks) between 0 and 5.

Eight weeks exceeds the experimental range, so the best possible guess is to apply the regression line using x=8

Most probable height after 8 weeks

y(8) =  (4/5)*(8)+1 = 7.4 cm

5.2 cm height of plant after 8 weeks.

The equation of a line can be formed with the help of the slope of the line and a point on the line. Let us understand more about the slope of the line and the needed point on the line, to better understand the formation of the equation of a line. The slope of the line is the inclination of the line with the positive x-axis and is expressed as a numeric integer, fraction, or the tangent of the angle it makes with the positive x-axis. The point refers to a point in the coordinate system with the x coordinate and the y coordinate.(The equation of the line is  y = mx + b)

According to the question,

The equation of the line is:

y = mx + b

The slope is 3/5. The y-intercept is given 1.

y = 3/5x + 1

Put x as 7, to find where point y lies.

y = 3/5(7) + 1

y = 21/5 + 1

y = 4.2 +1

y = 5.2 cm

hence, 5.2 cm height of plant after 8 weeks.

To learn more about equation of line from here

https://brainly.com/question/653909

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Answer:

We have 2 rational solutions

0 irrational solutions

0 complex solutions

Step-by-step explanation:

a^2 + 8a + 12 = 0

Using the discriminant

b^2 -4ac where ax^2 + bx+ c

so a =1  b = 8 and c = 12

8^2 -4(1)*12

64 - 48

16

Since the discriminant is greater than 0, we have 2 real solutions

since we can take the square root of 16, we have rational solutions

We have 2 rational solutions

Since this is a quadratic equations, there are only 2 solutions so there are

0 irrational solutions

0 complex solutions

Answer:

2 Rational Solutions

0 Irrational Solutions

0 Complex Solutions

Step-by-step explanation:

The discriminant of the quadratic formula is the name given to the portion underneath the radical (or the square root)"

[tex]x = \frac{1}{2} (-b\frac{ + }{ - } \sqrt{ {b}^{2} - 4ac })[/tex]

Discriminant = D = b²-4ac

If D is less than 0 you have two complex solutions.

If D is equal to 0 you'll have one real solution.

If D is bigger than 0 you'll get two real solutions.

So here we have:

a=1

b=8

c=12

Which means D=64-4(1)(12)=64-48=16>0

D is bigger than 0, so you'll have two real solutions. And since 16 is a perfect square, they'll both be rational numbers.

Answer:

[tex] \boxed{\sf Length \ of \ the \ rectangle = 16 \ in} [/tex]

Given:

Perimeter of rectangle = 48 in

Length = Twice the width

To Find:

Length of the rectangle

Step-by-step explanation:

Let width of the rectangle be 'w'.

So,

Length of the rectangle = 2w

[tex]\sf \implies Perimeter \ of \ rectangle = 2(Length + Width \\ \\ \sf \implies 48 = 2(2w + w) \\ \\ \sf \implies 48 = 2(3w) \\ \\ \sf \implies 48 = 6w \\ \\ \sf \implies 6w = 48 \\ \\ \sf \implies \frac{ \cancel{6}w}{ \cancel{6}} = \frac{48}{6} \\ \\ \sf \implies w = \frac{48}{6} \\ \\ \sf \implies w = \frac{8 \times \cancel{6}}{ \cancel{6}} \\ \\ \sf \implies w = 8 \: in[/tex]

Width of the rectangle (w) = 8 in

Length of the rectangle = 2w

= 2 × 8

= 16 in