For each triangle below find the side that marked with the letter
Soh coh toa please please

Answer:

[tex]\huge\boxed{157 \ \ \text{degrees}}[/tex]

Step-by-step explanation:

In order to find the value of ∠EFB here, we have to note our angle relationships.

We know that ∠CFE is already 90°. We also know that ∠CFA is 90°. Angle ∠AFB is inside ∠CFA. Since we know the measure of ∠AFB, we can find the measure of ∠BFC.

[tex]23 + x = 90\\\\x = 90-23\\\\x = 67[/tex]

Now that we know ∠CFE and ∠BFC, which together make ∠BFE, we can add these angles up.

[tex]90+67=157[/tex]

Hope this helped!

Answer:

3

Step-by-step explanation:

2(7y−1)=40

14y-2=40

14y=40+2

14y=42

y=3

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Well, does she earn this interest per month?? or is it per year.

4% of $1000 is $40 dollars

so it would take her 2 years (If this 4% is due every year. if not just change the "year" to months) to reach 80 dollars. She just needs 20 dollars which is half of the 40 she earns per year. half of a year is 6 months so the answer would be

Sonja would need to keep her 1000 dollars in the savings account for 2 and a half years to earn 100 dollars exact.

HOPE THIS HELPED. IF YOU HAVE ANY FURTHER QUESTIONS GO AHEAD AND PIT THEM IN THE COMMENT AND ILL BE SURE TO LOOK OVER THEM. DONT FORGET TO PUT THIS AS THE BRAINLIEST ANSWER AND ADD A 5 STAR AND A HEART FOR SUPPORT. THANK YOUUU!!

Answer:

7 weeks

Step-by-step explanation:

Answer: The answer is 3.10

Step-by-step explanation: Fisrt of all you add 25+7 which gives you 32. Add 32 and 55, gives you 87. You need to figure out w and b is 270. So 270 divided by 87 is 3.10. So you need 3.10 weeks.

Answer:

ok i did one of these before it was the 2nd or 3rd one

Answer:

D.) ordered pairs : {(1,-1),(2,0), (3,1)}

Answer:

if they are being equaled to each other, then x=7

Answer:

aogswoans skskdme skdbdnshsbemdhdksjdhskd

Answer:

B. False

Hope this helps!

Answer:

the answer is 1 whole and 1/2

Step-by-step explanation:

1 and 1/2

Answer:

102 degrees

Step-by-step explanation:

Supplement means when both angles are added together they would equal 180. So,

78 + Angle 6 = 180

Angle 6 = 102

Answer:

[tex]50<x<150[/tex]

Ryan would like to eat more than 50 carbs per day, but no more than 150 carbs per day.

So, Ryan's total carb intake must be between 50 and 150 carbs.

Step-by-step explanation:

So he wants to keep his consumption of carbs between the inequalities:

[tex]110<2x+10\text{ and } 2x+10<310[/tex]

So, let's solve both inequalities.

1)

[tex]110<2x+10[/tex]

Subtract 10 from both sides:

[tex]100<2x[/tex]

Divide both sides by 2:

[tex]50<x[/tex]

2)

[tex]2x+10<310[/tex]

Subtract 10 from both sides:

[tex]2x<300[/tex]

Divide both sides by 2:

[tex]x<150[/tex]

So, our inequality is now:

[tex]110<2x+10\text{ and } 2x+10<310[/tex]

Since we solved the equations:

[tex]50<x\text{ and } x<150[/tex]

Written as a compound inequality, this is:

[tex]50<x<150[/tex]

In other words, Ryan would like to eat more than 50 carbs per day, but no more than 150 carbs per day.

So, Ryan's total carb intake must be between 50 and 150 carbs.

Answer:

110

Step-by-step explanation:

Answer:

[tex]x = -3[/tex]

Step-by-step explanation:

[tex]3x - 2 = 4x + 1[/tex]

Now taking 3x to right hand side of the eqn . & +1 to the left side eqn. , sign of 3x changes to -3x & +1 changes to -1 .

[tex]-2-1 = 4x - 3x[/tex]

Now solving this , we get the value of x.

[tex]4x - 3x = -2 -1\\=> x = -3[/tex]

Answer:

The answer for x is x = -3

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Point B is between points A and C and points A, B, C are collinear so

AB + BC = AC

x-7 + 2x-2 = x + 13

  3x - 9  =  x + 13

      +9           +9

   3x  =  x + 22

   - x       - x

   2x  =  22

BC = 2x - 2 = 22 - 2 = 20

Answer:

The mean absolute deviation = 3.5°F

Step-by-step explanation:

The sum of the given temperatures, ∑T, is found as follows;

∑T = 66°F + 57°F + 61°F + 65°F + 54°F + 62°F + 59°F + 56°F = 480°F

The number of days, n, over which the temperature was tracked = 8 days

Therefore, the mean, [tex]\bar x[/tex], of the data set = ∑T/n = 480°F/8 = 60°F

The mean absolute deviation is given by the following formula;

[tex]Mean \ absolute \ deviation = \frac{\sum \limits_{i = 1}^{n} \left | x_i - \bar x \right | }{n}[/tex]

Therefore, we have;

66 - 60 = [tex]\left | 6\right |[/tex] = 6

57 - 60 = [tex]\left | -3\right |[/tex] = 3

61 - 60 =  [tex]\left | 1\right |[/tex] = 1

65 - 60 =  [tex]\left | 5\right |[/tex] = 5

54 - 60 =  [tex]\left | -6\right |[/tex] = 6

62 - 60 =  [tex]\left | 2\right |[/tex] = 2

59 - 60 =  [tex]\left | -1\right |[/tex] = 1

56 - 60 =  [tex]\left | -4\right |[/tex] = 4

The mean absolute deviation is therefore;

The mean absolute deviation = (6 + 3 + 1 + 5 + 6 + 2 + 1 + 4)/8 = 3.5°F.

Answer:

i. 48%

ii. 220%

iii. 2.5%

The given percentage into fractions.

[tex] \large \purple {\tt {i. \: 48\% = \frac{48}{100} = \frac{12}{25}}} [/tex]

[tex] \large \pink {\tt {ii. \: 220\% = \frac{220}{100} = \frac{11}{5}}} [/tex]

[tex] \large \blue {\tt {iii. \: 2.5\% = \frac{2.5}{100} = \frac{1}{40}}} [/tex]

Answer:

5.5 = x

Step-by-step explanation:

c(x)=x-2

3.5 = x-2

Add 2 to each side

3.5+2=x-2+2

5.5 = x

Answer:

Constanza ocupará, como mínimo, para forrar la caja:

1350 cm²

para forrar la caja

Step-by-step explanation:

En un cubo cada una de las aristas que lo conforman miden lo mismo.

Un cubo tiene 6 caras.

La formula del área del área de las 6 caras del cubo es:

área total del cubo = a = 6*arista²

en este caso:

a = 6*(15cm)²

a = 6 * 225 cm²

a = 1350 cm²

Answer:1350 cm²

Step-by-step explanation:idfk

Answer:

-22

Step-by-step explanation:

Answer:

98 was the change in elevation

Step-by-step explanation:

Answer:

y = [tex]\frac{3}{5}[/tex] x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x + 3y = 15 ( subtract 5x from both sides )

3y = - 5x + 15 ( divide all terms by 3 )

y = - [tex]\frac{5}{3}[/tex] x + 5 ← in slope- intercept form

with slope m = - [tex]\frac{5}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{3} }[/tex] = [tex]\frac{3}{5}[/tex] , thus

y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, 1) into the partial equation

1 = 3 + c ⇒ c = 1 - 3 = - 2

y = [tex]\frac{3}{5}[/tex] x - 2 ← equation of perpendicular line

Here, we are required to Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.

The equation of the line is; 3x - 5y = 10.

By comparison with the equation of a straight line: y = Mx + c

The equation 5x+3y=15 can be rewritten as ;

y = (-5/3)x + 5

Therefore, the slope of the equation is; (-5/3)

The product of the slope of two perpendicular lines is: -1.

therefore m1m2 = -1

Therefore; M2 = -1/(-5/3)

Therefore M2 = 3/5

The equation of the line passing through the point (5, 1) that has slope, M2 = 3/5 is;

3/5 = (y - 1)/(x - 5)

By Cross product;

3x - 15 = 5y -5

Therefore, the equation of the line is;

3x - 5y = 10.

Read more:

https://brainly.com/question/17076690

Answer:

d = [tex]\sqrt{29}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(1-(-1))^2+(-1-4)^2} \\d= \sqrt{(2)^2+(-5)^2} \\d= \sqrt{4+25} \\d=\sqrt{29}[/tex]

The distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

It is given that:

The distance between each pair of points (-1,4) and (1,-1)

Two points are (-1, 4) and (1, -1)

To find the distance between the above two points using the distance formula:

[tex]\rm d=\sqrt{(1-(-1))^2+(-1-4)^2}[/tex]

[tex]\rm d=\sqrt{(1+1)^2+(-1-4)^2}[/tex]

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division

d = √[(2)² + (-5)²]

d = √(4 + 25)

d = √29 units

Thus, the distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.

Learn more about the distance formula here:

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Consecutive odd numbers are two apart (5, 7, 9, 11...). So given an odd integer, we can add 2 to get the next odd integer.

If the first odd integer is y, then the first 4 odd integers are

y

y+2

y+4

y+6

These add up to 4y+12

The sum of the first four classroom numbers in a row is 4y+12.

It is required to find the sum of the first four classroom numbers in a row.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Since the smallest classroom​ number on the side of the building is numbered y ​ and each consecutive even integers is separated by a difference of  2.

∴

y is the first class room.

y +  2  is the second class room.

y +  4  is the third class room.

y + 6 is the third class room.

The sum of the five consecutive class rooms are given as:

y + (y + 2) + (y+ 4) + (y + 6)

collecting alike terms we get

= y + y+ y+ y + 2 + 4 + 6

= 4y + 12

Therefore, the sum of the first four classroom numbers in a row is 4y+12.

Learn more about arithmetic here:

https://brainly.com/question/11559160

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Answer:

Step-by-step explanation:

C = 5(68 - 32)/9

   = 5(36)/9

    = 180/9 = 20

C = 20

53 is a prime number !!

Answer:

53

Step-by-step explanation:

Answer is 53:)

Answer: [tex]-\frac{5}{7}[/tex]

Step-by-step explanation:

To find the slope of the line, you want to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{-3-2}{3-(-4)} =\frac{-5}{7}[/tex]

Now we know the slope is [tex]-\frac{5}{7}[/tex].

Answer:

Equation: [tex]Height = \frac{75}{Area}[/tex]

Step-by-step explanation:

The question is incomplete as the dimension of the phone was not given.

However, the following explanation will guide you

Given

[tex]Volume = 75\ in^3[/tex]

Required

Determine the Height

Volume is calculated as thus;

[tex]Volume = Area * Height[/tex]

Substitute 75 for Volume

[tex]75= Area * Height[/tex]

Divide through by Area

[tex]Height = \frac{75}{Area}[/tex]

The above represent the equation to solve for Height

To solve for height, we need the dimension of the phone or the area.

Take for instance; the length and width of the phone is 5 by 5 inches;

The height would be:

[tex]Height = \frac{75}{5 * 5}[/tex]

[tex]Height = \frac{75}{25}[/tex]

[tex]Height = 3\ inches[/tex]

Answer:

B E F G

Step-by-step explanation:

Polygons are 2 dimensional shapes with straight edges (no curved edges). The shape needs to be closed up entirely to be a polygon. It cannot have any intersecting line segments

A can't be a polygon because the shape isn't closed up entirely

C can't be a polygon because it is a 3d shape

D can't be a polygon because it has curved edges.

H can't be a polygon because it isn't closed up (there are no line segments).

I can't be a polygon because polygons cannot have intersecting lines

J can't be a polygon because polygons cannot have intersecting lines

I hope this helps! If it does, a rate or brainliest would be much appreciated. :)