Find the measures of all of the angles.

1. ∠ABC =
2. ∠BCA =
3. ∠CAB =

Answer:

31.9°

Step-by-step explanation:

Applying the Law of Sines,

⇒ sin75° / 22 = sin x° / 12

⇒ sin (45 + 30)° / 22 = sin x° / 12

⇒ (1/√2)(√3/2) + (1/√2)(1/2) / 22 = sin x° / 12

⇒ (1/√2)(√3 + 1 / 2) / 22 = sin x° / 12

⇒ 12 × (2.73/2.82) / 22 = sin x°

⇒ x = sin⁻¹ (0.529)

⇒ x = 31.9° (nearest tenth)

Answer:

-1 = -5

0 = 0

1 = -5

2 = -20

Step-by-step explanation:

im not sure if the answer is right but i hope it helps ^^

the website i used to find my answer is called desmos

Answer: 25, 90 ,90

Step-by-step explanation:

One angle on a paralel = 155
=> x+ y + z + 155 = 360
  x + y + z = 205    ; x + y ; y + z ; x + z = 180

x + y = 180
=> Z = 205 - 180
    Z = 25  Degree
x = y = 90 degree

Mark me as Brainliest pls ! Tysm !

1 kilometer = 1000 meters

5000 meters / 1000 = 5 kilometers

5 kilometers x 2 times per day = 10 kilometers per day.

answer: D) 10 kilometers

Answer:

See below ~

Step-by-step explanation:

Let's take an example :

I'm driving a car Z for 1,750 km and it has consumed 70 L of fuel.

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

Formula for mileage :

Mileage = Distance / Fuel consumed

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

Solving :

⇒ Mileage = 1,750 km / 70 L

⇒ Mileage = 25 km/L

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

Understanding by this method :

We can solve for the mileage of a car if we know how much distance it has covered in unit time, and the amount of fuel it has consumed, we can calculate mileage.

Answer:

180

Step-by-step explanation:

First, we have to find out how many boys are in the school:

900 * 0.30 = 270

Now, we know that there are 270 boys. Out of these boys we need to find out how many boys have glasses:

270 * 0.40 = 108

180 is our answer.

Answer:

44 aproximately

Step-by-step explanation:

She puts a tag on 20 of them, the next day she catches 27 and notices 3 of them have a tag so we substract 27-3=24 we add 24 to the initial number of ducks (20) and the result is 44

Step-by-step explanation:

27÷3×20=180

or

3/27=20/n =180

so the numbers of ducks in her local park is 180

Answer:

See below ~

Step-by-step explanation:

Problem 20

Problem 17

Problem 19

Answer:

Problem 20: [tex]\frac{2}{9}[/tex]

Problem 17: 3

Problem 19: [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

The formula to find slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Plugging in the given values in each problem, we can solve.

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

Problem 20:

[tex]\frac{-4-(-6)}{4-(-5)}[/tex]

[tex]=\frac{2}{9}[/tex]

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

Problem 17:

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

[tex]=\frac{3}{1} =3[/tex]

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

Problem 19:

[tex]\frac{2-(-3)}{6-2}[/tex]

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

hope this helps!

Answer:

y = x/3 +5

Step-by-step explanation:

Step1 : finding the slope

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

(3,6) and (−3,4)

m = [tex]\frac{4-6}{-3-3}[/tex]

m = 1/3

Solving for the equation

y-y1 = m(x-x1) , (3,6)

y-6 = 1/3(x-3)

y = x/3 -1 +6

y = x/3 +5

Answer:

T = 12

Step-by-step explanation:

8t+1=97

We move all terms to the left:

8t+1-(97)=0

We add all the numbers together, and all the variables

8t-96=0

We move all terms containing t to the left, all other terms to the right

8t=96

t=96/8

t=12

Answer:

84

Step-by-step explanation:

Plug in 9 for k.

5(9)(2) - 6

first: (9)(2) = 9 x 2 = 18

5(18) - 6

second: 5(18) = 5 x 18 = 90

last: 90 - 6 = ?

84

hope this helps

Answer:

3% = .03 x 15,500 = 465 / yr

465/yr x 5yrs = 2325

15,500 - 2325 = 13,175

Step-by-step explanation:

Answer:

1/17 or 0.059

Step-by-step explanation:

7/17 + (-6/17) = 7/17 - 6/17 = 7-6/17 = 1/17

Answer:  " 5.1 " .
____________

Step-by-step explanation:
____________

To find 1 percent (i.e. " 1% " )  of:  510 ;

Note:  1 %  = (1 /100) = (1 ÷ 100) ;

Note the following about "dividing by "100" ;

  We take the number:  "510" in our case;
  and move the decimal point "2 (two) places backward" .
We move it "backward" (instead of "forward") because we are "dividing" ;

and we are moving the decimal point "2 (two)" spaces backward; since we are dividing by "100" ; which has "2 (two) zeros" .
  So:   " (510.) ÷ 100 " ;
               

      Take:  " 510." ; and move the decimal point two (2) spaces backward:
                         5.10.
                             ↩

    To get: " 5.10 " ;  which we can simplify as:
             →  " 5.1 " ; which is our answer.

Hope this is helpful to you!  Wishing you well!
____________

Answer:

  (a) higher by 0.25%

Step-by-step explanation:

The error in the estimate is found by comparing the estimated rate to the actual rate.

__

The rate of estimated closing costs is ...

  (estimated cost)/(home cost) × 100% = 6375/170000×100% = 3.75%

The actual rate is 4.00%.

  actual - estimate = 4.00% -3.75% = 0.25%

The actual closing costs were higher than the estimate by 0.25%.

Answer:

Step-by-step explanation:

Mean: Add all the values and divide by the # of values

Median: The center of the values

Mode: The value that appears the most in the data set

Mean for data set 1: 86

Mean for data set 2: (85+89+71+85+86+91+92+96+87)/2= approximately 86.89

Median for data set 1: 72,75,78,80,88,90,95,98,98

We've sorted it from least to greatest, and the center is 88 because there is 4 values to the left of it, and 4 values to the right. It's at the very center.

Median for data set 2: 71,85,85,86,87,89,91,92,96

The center for this is 87 because it is again, at the absolute center/middle between the data.

Mode for data set 1: 98 because it appears 2 times, which is more often than other values

Mode for data set 2: 85 because it appears most often (2 times) in the data set

Hope this helps! :)

Answer:

The lowest common multiple of 10 and 20 is twenty, and the maximum common multiple is 10

          [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

         What is the lowest common multiple of 10 and 20?

           [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

           First let's list a few common multiples of 10 and 20:-

[tex]\Large\textsf{Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100...}}[/tex]

        Now, let's list some multiples of 20:-

 [tex]\Large\textit{Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160...}[/tex]

      Now let's find the Least common multiple (L.C.M.) of 10 and 20:-

[tex]\Large\textsc{The LCM is 20}[/tex]

            [tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]

Answer:

i think the answer is 150m³

Answer:

150 m³

Step-by-step explanation:

Formula

Area of a rhombus = (a · b) ÷ 2  

(where a and b are the diagonals)

Given:

⇒ Area of the rhombus = (10 · 3) ÷ 2  

                                       = 30 ÷ 2  

                                       = 15 m²

Formula

Volume of a right prism = area of the base × length

Given:

⇒ Volume of the right prism = 15 × 10

                                               = 150 m³

Answer:

nonlinear because the second row isn't going up by the same number

57/6 = $9.50 per shirt

9.50 x 4 = $38

Answer: $38

Answer:

$38

Step-by-step explanation:

57 ÷ 6 = 9.5

9.5 x 4 = 38

hope this helps

have a good day

Step-by-step explanation:

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

Now for the first term use the formula :

[tex] {a}^{2} - 2ab + {b}^{2} [/tex]

[tex] = 2( {x}^{2} - 10x + 25) + 4(x - 5) + 1[/tex]

[tex] = 2 {x}^{2} - 20x + 50 + 4x - 20 + 1[/tex]

[tex] = 2 {x}^{2} - 20x + 4x + 50 - 20 + 1[/tex]

[tex] = 2 {x}^{2} - 16x + 31[/tex]

Answer:

88%

Step-by-step explanation:

Answer:

  y = 5

Step-by-step explanation:

The triangles will be congruent when corresponding sides are congruent. __

We already have ...

  KL ≅ NP . . . = 15 mm

  JL ≅ MP . . . = 22 mm

So, we need ...

  JK ≅ MN

  4y +12 = 32 . . . . substitute given values

This will be the case when ...

  4y = 20 . . . . . subtract 12

  y = 5 . . . . . . . divide by 4

The value of y that makes the triangles congruent is 5.

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{-9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-9}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{(-2)}}} \implies \cfrac{-9 +8}{-3 +2}\implies \cfrac{-1}{-1}\implies 1[/tex]

Answer:

Step-by-step explanation:

(-9 + 8)/(-3 + 2)= -1/-1= 1

Answer:

? = 56

Step-by-step explanation:

I've attached my work

Hope it helps, let me know if you have questions !

Have a nice rest of your day :)

Answer:

TV = 8 , SV = 8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

given ST = TV , then

TV = 8

using Pythagoras' identity in the right triangle

SV² = ST² + TV² = 8² + 8² = 64 + 64 = 128 ( take square root of both sides )

SV = [tex]\sqrt{128}[/tex] = [tex]\sqrt{64(2)}[/tex] = [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex] = 8[tex]\sqrt{2}[/tex]

Answer:

14 pairs of earrings

Step-by-step explanation:

Question

Navya has 10 ¹/₂ feet of craft wire that she uses to make earrings.  If each pair of earring requires 3/4 foot of wire, how many pairs of earrings is Navya able to make.

Given:

To calculate the number of pairs of earrings Navya can make, divide the total amount of wire by the wire required to make 1 pair of earrings:

[tex]\begin{aligned}\implies \sf 10\frac{1}{2} \div \dfrac{3}{4} &= \sf \dfrac{21}{2} \div \dfrac{3}{4}\\ \\& = \sf \dfrac{21}{2} \times \dfrac{4}{3}\\ \\& = \sf \dfrac{21 \times 4}{2 \times 3}\\ \\& = \sf \dfrac{84}{6}\\ \\& = \sf 14 \end{aligned}[/tex]

Therefore, Navya can make 14 pairs of earrings.

Answer:

x=[tex]-\frac{14}{3}[/tex]

Step-by-step explanation:

3x-12-6x+21=23

-3x+9=23

-3x=14

x=[tex]-\frac{14}{3}[/tex]