Label ABC with the following information.
BC = 61
m/A = 31°
Find AC.

Answer:

AB ≈ 5.6 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )

12 × cos62° = AB , then

AB ≈ 5.6 cm ( to 1 dec. place )

Answer:

118°

Step-by-step explanation:

because 28 + 90 = 118

Answer:

ertyui

Step-by-step explanation:

Answer:

It means that x = 20

Step-by-step explanation:

Answer:

EBC and CBF are supplementary.

EBD=66

Step-by-step explanation:

Since vertical angles are congruent, ABE=CBF

ABE=40-x

40-x + 6x-30=90

5x+10=90

5x=80

x=16

16(6)-30=66

Answer:

x=8

Step-by-step explanation:

x/12 = 4/6

6x=48

48/6=8

Answer:

 4.50

Step-by-step explanation:

4 = Whole number. 1 = Numerator. 2 = Denominator. To get 4 1/2 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.

The decimal form of  4 and 1/2  is 4.5

Decimal is a fraction written in a unique form. The dot notation is used to represent the fraction form.

Therefore, 4 and 1/2 in decimal form is represented as follows;

Mixed fraction = 4  1 / 2

Improper fraction = 9 / 2

decimal form of  1 / 2 = 0.5

Therefore, 4 1 / 2 = 4.5

learn more on decimal here: https://brainly.com/question/236928

Answer:

Step-by-step explanation:

180-50 = 130

130 / 2= 65

Answer:

x=65

Step-by-step explanation:

you can set up a equation

50 + x+x =180 = 50 + 2x =180

then minus the 50

2x= 130 and the divide by 2

x=65

Answer:

We need to solve this system of equations by substitution:

-6x-2y =20

3y=x

Yu can do it with the letter you decide

You can get the x from the second equation and replace in the first:

3y = x

-6x - 2y = 20 -> -6(3y) - 2y = 20 --> -18y - 2y = 20 --> y=-1

Then we can replace in the second one:

3*(-1) = x ---> -3 = x

So the answer is x = -3, y = -1

Answer:

a. Total cost of the principal = $217,411.20

b. Interest for the mortgage loan = $104,911.20

Step-by-step explanation:

Total cost of the principal = Monthly payment * Number of years * Number of months in a year = $603.92 * 30 * 12 = $217,411.20

Total cost of the principal of the loan includes the mortgage loan amount and the interest for the mortgage loan. Therefore, the interest for the mortgage loan can be calculated as follows:

Interest for the mortgage loan = Total cost of the principal - Mortgage loan amount = $217,411.20 - $112,500 = $104,911.20

Answer:

x= −11 2 + 5 2 √5 or x= −11 2 + −5 2 5

Step-by-step explanation:

Answer:

D on edg

Step-by-step explanation:

Answer: -3

Step-by-step explanation:

[tex]\frac{27}{-9} = -3 \\[/tex]

We can check our work my multiplying -3 by -9 and see that it equals 27

[tex]-9*[\frac{27}{-9} = -3 ]* -9\\27 = 27[/tex]

Answer:

38.9%

Step-by-step explanation:

a=28

b=77

c=33

d=56

e=72

a/e=.388888888

Answer:

-40x+20

Step-by-step explanation:

10 times -4x=-40x

10x2=20

Answer:

-40x+20

10*-4x+10*2

Answer:

C. 1

Step-by-step explanation:

C. 1

Answer:

31 is the answer of this question

Answer:

31 and my day was good how was yours?

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

12 x 10 = 120

Answer:

5.50

Step-by-step explanation:

5 = whole number

.

5 = Tenths

0 = Hundreths

5.50

Answer:

34

Step-by-step explanation:

3rd square number is 9

5th square number is 25

9+25= 34

Answer:

Equation is [tex]x+\frac{16}{3}=\frac{15}{2}[/tex] where [tex]x[/tex] denotes number of cups of orange juice needed by Sam.

[tex]x=\frac{13}{6}[/tex]

Step-by-step explanation:

Let [tex]x[/tex] denotes number of cups of orange juice needed by Sam.

Number of cups needed to make punch [tex]=7\frac{1}{2} =\frac{15}{2}[/tex]

Number of cups with Sam [tex]=5\frac{1}{3}=\frac{16}{3}[/tex]

Therefore,

[tex]x+\frac{16}{3}=\frac{15}{2}\\\\x= \frac{15}{2}-\frac{16}{3}\\\\x=\frac{45-32}{6}\\\\x=\frac{13}{6}[/tex]

Answer:

Not apportionment

Step-by-step explanation:

Apportionment can be described as a way of sharing out or dividing out in the best fair method.

If a family of 10 leave the house at the same time and have to share just two bathrooms, the time allocation should not be based on age rather should be based on how early each person wakes up in the morning.

Answer:

1.) 18

2.) 55

3.)43

Step-by-step explanation:

Answer:

Width: 3.75

Length: 11.25

Answer:

the width is 3.75 inches. The length will be 3*3.75=11.25 inches.

Step-by-step explanation:

30 inches=2(L+W) Divide each side by 2. 15 inches=L+W Substitute for L.

Answer:

The line will not pass through the first quadrant.

Step-by-step explanation:

Since the y-intercept is negative, and the slope is negative, the line will start in the second quadrant, pass through the third quadrant to intercept the y-axis, then pass through the fourth quadrant. It will never touch the first quadrant.

Answer:A closed, or shaded, circle is used to represent the inequalities greater than or equal to (≥) or less than or equal to (≤) . The point is part of the solution. An open circle is used for greater than (>) or less than (<). The point is not part of the solution. Solving" systems of linear inequalities means "graphing each individual inequality, and then finding the overlaps of the various solutions". So I graph each inequality, and then find the overlapping portions of the solution regions.Step 1: Line up the equations so that the variables are lined up vertically. Step 2: Choose the easiest variable to eliminate and multiply both equations by different numbers so that the coefficients of that variable are the same. Step 3: Subtract the two equations. Step 4: Solve the one variable system.

Step-by-step explanation:

hope this helps have a great night ❤️❤️❤️

Answer:

Its A, 7.7

Step-by-step explanation:

Answer:

It's not really a spoiler but I like baby yoda

Answer:

I think Baby Yoda is adorable u.u