Two angles are supplementary. One is 25° more than four times the other. Find the measures of the angles. ​

Answers

Answer 1

Answer:

100

Step-by-step explanation:

I believe it is this answer bur don't hold me to. If it is wrong I'm sorry in advance

Answer 2

Answer:

The two angles are 31° and 149°

Step-by-step explanation:

Let the two supplementary angles be , x and y.

         Then, x + y = 180° ----- ( 1 )

Given :  one is 25° more than 4 times other

           Let y = 25° + 4x ------ ( 2 )

Substitute ( 2 ) in  ( 1 ) :

     x + y = 180°

     x + 25° +4x = 180°

     x + 4x = 180° - 25°

           5x = 155°

             x = 31°

Substitute x in ( 2 ) :

            y = 25° + 4x

               = 25 + 4 ( 31 )

               = 25 + 124

               = 149°


Related Questions

Find the area of the parallelogram below

Answers

Step-by-step explanation:

area of the parallelogram = 7 × 14

=98 cm²

Answer: 98

Explanation: To find the area of a parallelogram, you need to multiply the base and the height. The base in this case is 14, and the height is 7. The only number that will not be used is 9. This will not be used as the height since it it slanted.

Equation: 7x14=98


Hope this helps!

Choose the inequality that repersents the following graph

Answers

Answer:

B. x</=-3

Step-by-step explanation:

the arrow is pointed to the left which means less than and the end is shaded which means or equal to

John buys 20 bunches of bananas for 5naira. He sells them for 6.50. what is his percentage profit?​

Answers

30 dollars profite hope this helps !!

please solve fast please ​

Answers

Answer:

3/6 =1/25/6

pls give me brainliest plzzzzz

What is 6 divided by 3/8

Answers

Answer:

16 (sixteen) is 6 divided by 3/8.

Find the lowest common multiple of 10 and 12

Answers

It is 2


2(5) is 10 2(6) is 12. Lower than that is 1 and that is not viable
The lowest common multiple is 60

A motor oil retailer needs to fill 60 one quart bottles, and he has two tanks: one that contains 12 gallons of oil and one that
contains 2 gallons of oil. Which will he need to fill the bottles?

Answers

Answer:

The motor oil retailer needs 15 gallons of oil, so he will have to use both tanks, and still have 1 gallon of oil short.

Step-by-step explanation:

Since a motor oil retailer needs to fill 60 one quart bottles, and he has two tanks: one that contains 12 gallons of oil and one that contains 2 gallons of oil, to determine which will need to fill the bottles, the following calculation must be performed:

Quart to gallon = 4: 1

1/4 x 60 = X

60/4 = X

15 = X

Therefore, the motor oil retailer needs 15 gallons of oil, so he will have to use both tanks, and still have 1 gallon of oil short.

At a basketball game, a vender sold a combined total of 101 sodas and hot dogs. The number of sodas sold was 37 more than the number of hot dogs sold. Find
the number of sodas sold and the number of hot dogs sold.

Answers

Answer:

101 - 37 = 64

I hope this is correct

Which expression represents the area in square centimeters of the new cup opening? Use A=2

Answers

Answer:

A = πx² - 2πx + π

Step-by-step explanation:

The area of the new cup opening :

We are given the area formula to use :

Area, A = πr²

r = Radius = x-1

Area = π(x - 1)²

A = π(x - 1)(x - 1)

A = π(x² - x - x + 1)

A =π(x² - 2x + 1)

A = πx² - 2πx + π

solve for x 6(x-3)=8(x-4)

Answers

Answer:

7=x

Step-by-step explanation:

6(x-3)=8(x-4)

Distribute

6x -18 = 8x-32

Subtract 6x from each side

6x-18 -6x = 8x-32-8x

-18 = 2x-32

Add 32 to each side

-18+32 = 2x-32+32

14 = 2x

Divide by 2

14/2 =2x/2

7=x

[tex]\sf\purple{x= 7}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

[tex]➺\:6(x - 3) = 8(x - 4)[/tex]

[tex]➺ \: 6x - 18 = 8x - 32[/tex]

[tex]➺ \: 6x - 8x = - 32 + 18[/tex]

[tex]➺ \: - 2x = - 14[/tex]

[tex]➺ \: x = \frac{ - 14}{ - 2} [/tex]

[tex]➺ \: x = 7[/tex]

Therefore, the value of [tex]x[/tex] is 7.

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]

[tex]➺ \: 6(x - 3) = 8(x - 4)[/tex]

[tex]➺ \: 6(7 - 3) = 8(7 - 4)[/tex]

[tex]➺ \: 6 \times 4 = 8 \times 3[/tex]

[tex]➺ \: 24 = 24[/tex]

➺ L. H. S. = R. H. S.

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]

A businessman dropped a coin from the top floor of his office building and it fell according to the formula S(t)=−16t^2+2t^0.5, where t is the time in seconds and S(t) is the distance in feet from the top of the building. Step 1 of 3 : If the coin hit the ground in exactly 1.8 seconds, how high is the building? Round your answer to 2 decimal places.

Answers

Answer:

The height of the building is of 48.24 feet.

Step-by-step explanation:

Height after t seconds:

The height after t seconds of the coin is given by:

[tex]S(t) = -16t^2 + 2t + h[/tex]

In which h is the height of the building.

If the coin hit the ground in exactly 1.8 seconds, how high is the building?

This means that when [tex]t = 1.8, S(t) = 0[/tex]. We use this to find h.

[tex]S(t) = -16t^2 + 2t + h[/tex]

[tex]h = 16t^2 - 2t[/tex]

[tex]h = 16(1.8)^2 - 2(1.8)[/tex]

[tex]h = 48.24[/tex]

The height of the building is of 48.24 feet.

{ →
Shari drew several lines. Which lines are perpendicular to AC ?
Select all that apply.

Answers

A and C are the answers

Paula, Adam, and Jessica are siblings. Adam is half the age of Paula, and Jessica is one quarter of Paula's age. In six years' time, Jessica will be 75% of Adam's age.

a How old is each sibling now?

b How old will each sibling be in six years' time?

c In how many years' time will Jessica be 75% of Paula's age?​

Answers

Step-by-step explanation:

answer is in photo above

Practice: Write and Evaluate Expressions - Practice --- Level
Which answer matches this description?
half of the difference of 25 and 7
* * (25 – 7)
3+ (25 – 7)
3 - (25 + 7)
* * (25+7)

Answers

1/2x(25-7). Difference means to subtract. And then just multiply by 1/2 since it is asking for half.

Help need help fast

Answers

Answer:

Answer is in bold form

Step-by-step explanation:

Given

radius = 3feet

Height = 6feet

Volume of the cylinder = πr²h

Volume of the cylinder = 3.14 * 3² * 6

Volume of the cylinder = 169.56ft³

volume of the cone = Volume of cylinder/3

volume of the cone = 169.56/3

volume of the cone = 56.52ft³

Volume of the sphere = 4/3πr³

Volume of the sphere = 4/3*3.14*(3)³

Volume of the sphere = 4 * 3.14* 9

Volume of the sphere = 113.04ft³

To paint interior​ walls, a person charges 50¢ per square foot plus the cost of the paint. For a recent​ job, the paint cost ​$100 and the total bill was ​$475.
The person must have painted ____ ft^2.

Answers

Answer: [tex]750\ ft^2[/tex]

Step-by-step explanation:

Given

Rate of painting 50¢ per square foot

Cost of paint is $100

If the total bill is $475

We can write,

[tex]\Rightarrow 475=100+0.5\times x\quad [x=\text{area in square foot}]\\\Rightarrow 375=0.5x\\\Rightarrow x=750\ ft^2[/tex]

Thus, [tex]750\ ft^2[/tex] must be painted.

A flat rectangular piece of aluminum has a perimeter of 60 inches. The
length is 14 inches longer than the width. Find the width.

Answers

Answer:

8 inches

Step-by-step explanation:

Let w represent the width.

If the length is 14 inches longer than the width, it can be represented by w + 14.

Use the perimeter formula, p = 2l + 2w. Plug in 60 as the perimeter and w + 14 as l, then solve for w:

p = 2l + 2w

60 = 2(w + 14) + 2w

60 = 2w + 28 + 2w

60 = 4w + 28

32 = 4w

8 = w

So, the width is 8 inches

PLEASE SOMEONE HELP ME ILL MARK BRAINLESS AND PLEASE EXPLAIN AHHHH HELP

Answers

Answer:  100 degrees

===============================================================

Explanation:

The two angles that involve x are alternate interior angles.

Due to the parallel lines, the alternate interior angles are equal.

We'll use this to solve for x

-7x-18 = -9x-46

-7x+9x = -46+18

2x = -28

x = -28/2

x = -14

Let's check the answer by evaluating each expression as shown below

-7x-18 = -7*(-14)-18 = 80-9x-46 = -9*(-14)-46 = 80

Both angles are 80 degrees each, so it confirms we have the correct x value.

-----------------------

We have one last step. We found the -9x-46 angle to be 80 degrees. Angle 4 is adjacent to this and supplementary.

So we subtract from 180 to get the answer

180-80 = 100

Are these triangles congruent?

Answers

Answer:

yes...

Step-by-step explanation:

its a congrate triangle

Yes the triangles are congruent because they have the same sides but not the same lengths and width.

Find the mean for the following data set: 5, 3, 6, 8, 1, 1 *

Answers

Answer:

add all the numbers

which will get you 24

then divide by how many numbers you got which will give you 6

the answer is six

Step-by-step explanation:

Hope this helps :D

Answer:

The mean is equal to 4.

Step-by-step explanation:

To find the mean of any set of numbers, you have to add all of those numbers and divide the result by however many numbers their are.

For example, the mean of 2,5,6, and 7 would be the following: 2+5+6+7/4

The mean of 5,3,6,8,1, and 1 is the following: 5+3+6+8+1+1/6=24/6=4

The mean is equal to 4.

A class is given an exam. The distribution of the scores is normal. The mean score is 76 and the standard deviation is 11. Determine the test score, c c , such that the probability of a student having a score greater than c c is 36 % 36% . P ( x > c )

Answers

Answer: required value of c = 79.94.

Step-by-step explanation:

Let x denotes the exam score.

Given: The mean score is 76 and the standard deviation is 11.

to detrmine c , such that the probability of a student having a score greater than c  is 36 %.

or P(x>c)=0.36

Using z-score table , we get

z= 0.3584 [z-value corresponds to p-value of 0.36(one-tailed) is 0.3584]

Formula for z:

[tex]z=\dfrac{x-mean}{standard\ deviation}\\\\ 0.3584=\dfrac{c-76}{11}\\\\ c=0.3584\times11+76\\\\ c=76+3.9424\\\\ c\approx 79.94[/tex]

hence, required value of c = 79.94.

The ratio between boys and girls in a class is 3 : 1. Find the number of boys in the class is the total number of students is 40.

Answers

Answer:  30 boys

Step-by-step explanation:

Boys:Girls

3       : 1

Let no. of girls =x

⇒ no. of boys =3x.

⇒ no. of students in class =4x

                                            =   4/3×3x

                                            =  4 /3  ×no. of boys

  40=4/3* no.of boys

40* (3/4)=no.of boys

30=no of boys

which is an irrational number

Answers

Answer:

The irrational number is [tex]\sqrt{\frac{5}{3}}[/tex].

__________________________________

Definition : In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.

Answer:

Step-by-step explanation:

I'm not sure but I think it's A

I'm not sure!!

(pls do not vote ..)

Bye!

es urjente

Identifica los elementos de una ecuación
18 – 3x = 14x + 1 b) y – 5y + 16 = 0 c) 6m – m + 8 = 9m
Primer Miembro
Segundo Miembro
Incógnita
Coeficiente
Términos independientes

Answers

Answer:

Espera espera espera.......

primer miembro es el independiente

incógnitas es la letra literal x b y c m

coeficiente es el resultado de la división

terminos independientes son aquellos los que no tienen cualquier letra 18 16 8

Step-by-step explanation:

espero que ayude

. How much time, in minutes, did she spend studying Spanish?

The time Kathleen spent studying Spanish is


SEE IMAGE BELOW AND ONLY ANSWER IF YOU KNOW THE ANSWER

Answers

2/3 because it is and i say so

mark all statements that are true . help !

Answers

Answer:

C D E

Step-by-step explanation:

They are the options that are clear enough

Lydiagrace33

Image attached
A) 1 point Write an inequality for this graph . Use the shift key and the key or key to type the < or > symbol . *

B) Water boils when the temperature is at least 212 degrees F. Which inequality shows this situation ?

C) When the temperature drops below 50 degrees F , crickets usually stop chirping . Which inequality shows this situation ?

D) Explain the difference between the meaning of a closed
circle and an open circle on a graph of an inequality .

Answers

x is greater than -1.5
D
A
a closed circle shows that the variable can be equal to the number it is on, and an open circle shows that it cannot
Hope this helps!

Calculus chapter7 (Transcendental Functions)

Answers

Answer:

1) [tex]\int\limits^{16}_{2} {\frac{dx}{2\cdot x \cdot \sqrt{\ln x}} } \approx 1.665[/tex]

2) [tex]\frac{dy}{dx} = \pm \frac{1}{\sqrt{4\cdot x^{2}+7\cdot x +3}}[/tex]

3) [tex]\int\limits^{2\sqrt{3}}_{0} {\frac{dx}{\sqrt{4 + x^{2}}} } \approx 1.317[/tex]

Step-by-step explanation:

1) [tex]\int\limits^{16}_{2} {\frac{dx}{2\cdot x \cdot \sqrt{\ln x}} }[/tex]

This integral can be solved easily by using algebraic substitutions:

[tex]u = \ln x[/tex], [tex]du = \frac{dx}{x}[/tex]

Then, the integral can rewritten as follows:

[tex]\int {\frac{dx}{2\cdot x\cdot \sqrt{\ln x}} } = \frac{1}{2}\int {\frac{du}{u^{1/2}} } = \frac{1}{2}\int {u^{-1/2}} \, du[/tex]

[tex]\int {u^{-1/2}} \, du = 2\cdot u^{1/2} + C = 2\cdot \sqrt{\ln x} + C[/tex]

Where [tex]C[/tex] is the integration constant.

[tex]\int\limits^{16}_{2} {\frac{dx}{2\cdot x \cdot \sqrt{\ln x}} } = F(16) - F(2)[/tex]

[tex]F(16) - F(2) = 2\cdot (\sqrt{\ln 16}-\sqrt{\ln 2})[/tex]

[tex]F(16) - F(2) \approx 1.665[/tex]

2) Let be [tex]y = \cosh^{-1} (2\cdot \sqrt{x+1})[/tex], then we obtain the expression by the definition of the derivative for the inverse hyperbolic cosine and the chain rule:

[tex]\frac{dy}{dx} = \pm\frac{1}{\sqrt{4\cdot x + 3}}\cdot \left(\frac{1}{\sqrt{x+1}} \right)[/tex]

[tex]\frac{dy}{dx} = \pm \frac{1}{\sqrt{(4\cdot x + 3)\cdot (x+1)}}[/tex]

[tex]\frac{dy}{dx} = \pm \frac{1}{\sqrt{4\cdot x^{2}+7\cdot x +3}}[/tex]

3) [tex]\int\limits^{2\sqrt{3}}_{0} {\frac{dx}{\sqrt{4 + x^{2}}} }[/tex]

This integral can be solved by the following trigonometric substitutions:

[tex]\frac{2}{\sqrt{4 + x^{2}}} = \cos \theta[/tex]

[tex]\frac{1}{\sqrt{4+x^{2}}} = \frac{\cos \theta}{2}[/tex]

[tex]\frac{x}{2} = \tan \theta[/tex]

[tex]x = 2\cdot \tan \theta[/tex]

[tex]dx = 2\cdot \sec^{2}\theta \,d \theta[/tex]

[tex]\int {\frac{dx}{\sqrt{4+x^{2}}} } = \int {\left(\frac{\cos \theta}{2} \right)\cdot (2\cdot \sec^{2}\theta)} \, d\theta = \int {\sec \theta} \, d\theta[/tex]

[tex]\int {\sec \theta}\,d\theta = \ln |\sec \theta + \tan \theta| + C[/tex]

[tex]\ln \left|\frac{\sqrt{4+x^{2}}}{2} + \frac{x}{2} \right| + C[/tex]

Where [tex]C[/tex] is the integration constant.

[tex]\int\limits^{2\sqrt{3}}_{0} {\frac{dx}{\sqrt{4 + x^{2}}} } = F(2\sqrt{3}) - F(0)[/tex]

[tex]F(2\sqrt{3}) - F(0) = \ln \left|2+\sqrt{3}\right|-\ln \left|1\right|[/tex]

[tex]F(2\sqrt{3}) - F(0) \approx 1.317[/tex]

How many natural numbers are there between 8² and 9² ?​

Answers

Answer:

19

Step-by-step explanation:

Answer:

i think the answer 17

81-64 =17

please tell me quickly I have no time right now

Answers

Answer:

f(x) =3 (5) ^x +5

Step-by-step explanation:

f(x) = g(x) +5

We know g(x) = 3 (5) ^x

Substitute this into f(x)

f(x) =3 (5) ^x +5

Answer:

[tex] \small \sf \: f(x) = 3(5) {}^{x} + 5[/tex]

[tex] \small \sf \mapsto \: f(x) = 3(5) {}^{x} \: + 5[/tex]

Where, we have given

[tex] \small \sf \mapsto \: g(x) = 3(5) {}^{x} [/tex]

put the value of g ( x )

[tex] \small \sf \mapsto \: f(x) = 3(5) {}^{x} + 5[/tex]

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