A point is chosen in the circle at random. Determine which of the statements are true. Check all that apply.
It is unlikely the point is in region A.
It is likely the point is in region C.
It is likely the point is in region G.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.

Answer:

A. Since the 3 angles in ∆ABC are congruent to the corresponding 3 angles in ∆A'B'C', therefore, ∆ABC is similar to ∆A'B'C'.

B. A'B' = 30

Step-by-step explanation:

A. Two triangles are said to be similar if their corresponding angles are congruent to each other.

To know whether ∆ABC and ∆A'B'C' are similar, let's find the measure of their angles each, and see if their corresponding angles are congruent to each other.

∆ABC:

m<A = 59°

m<B = 37°

m<C = 180 - (37 + 59) = 84°

∆A'B'C':

m<A' = 59°

m<B' = 180 - (59 + 84) = 37°

m<C' = 84°

As we can see,

Angle A is congruent to Angle A'

Angle B is congruent to Angle B'

Angle C is congruent to Angle C'

Therefore, since the 3 angles in ∆ABC are congruent to the corresponding 3 angles in ∆A'B'C', therefore, ∆ABC is similar to ∆A'B'C'.

B. AC = 8; A'C' = 12; AB = 20

Since ∆ABC is similar to ∆A'B'C', the ratio of their corresponding sides would be equal.

Therefore:

AC/A'C' = AB/A'B'

Plug in the values into the equation

8/12 = 20/A'B'

Cross multiply

A'B'*8 = 20*12

A'B'*8= 240

Divide both sides by 8

A'B' = 240/8

A'B' = 30

Answer:

20

Step-by-step explanation:

since al = lb because it is midsegment and lb = 20 so AL = 20

Answer:

y = 1/4x + 5/2

Step-by-step explanation:

slope = rise over run

1 rise for 4 run

y intercept = 5/2

Answer:

9/10

Step-by-step explanation:

because it is

Answer:

Girls in Mr. Chang's class: 28 - 21 ; # girl students = # total students - # boy students ; 7 girl students.

Boys in Mr. Chang's class: 28 - 7 ; # boy students = # total students - girl students ; 21 boy students.

This question is incomplete

Complete Question

An arts academy requires there to be 6 teachers for every 132 students and 4 tutors for every 44 students. How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 132 students​?

Answer:

a)How many students does the academy have per​ teacher?

22 students per teacher

b) Per​ tutor?

11 students per tutor

c) How many tutors does the academy need if it has 132 students​?

12 tutors

Step-by-step explanation:

a)How many students does the academy have per​ teacher?

6 teachers = 132 students

1 teacher = x

6 × x = 132 × 1

x = 132 × 1/6

x = 22 students

Hence, we have 22 students per tutor

b) Per​ tutor?

4 tutors = 44 students

1 tutor = x students

Cross Multiply

4 × x = 1 × 44

x = 44/4

x = 11 students

Hence, we have 11 students per tutor

c) How many tutors does the academy need if it has 132 students​?

44 students = 4 tutors

132 students = x tutors

Cross Multiply

44 × x = 132 × 4

44x = 132 × 4

x = 132 × 4/44

x = 12 tutors

The academy needs 12 tutors if they have 132 students.

Answer:

Step-by-step explanation:

Strawberry jelly:

120 ÷ 4 × 3 = 90 g

Sponge fingers:

8 ÷ 4 × 3 = 6

Custard:

420 ÷ 4 × 3 = 315 ml

Tinned fruit:

180 ÷ 4 × 3 = 135 g

Answer:

Step-by-step explanation:

company A = 28,000 + 3,000 (x)

company B = 36,000 + 2,000 (x)

where x = no. of years.

28,000 + 3,000 (x) = 36,000 + 2000 (x)

3,000 (x) - 2,000 (x) = 36,000 - 28,000

1,000 (x) = 8,000

x = 8,000

     1,000

company A = 28,000 + 3,000 (8)

company B = 36,000 + 2,000 (8)

Answer:

12 minutes I think question kinda confusing

Answer:

5:9

Step-by-step explanation:

There are 5 blue shapes out of 9 total shapes.

Answer:

(6, 3)

General Formulas and Concepts:

Pre-Alg

Alg I

Step-by-step explanation:

Step 1: Define systems

4x = 8y

2x + 5y = 27

Step 2: Rewrite systems

x = 2y

2x + 5y = 27

Step 3: Solve for y

Step 4: Solve for x

Plug in y into an original equation to find x.

Answer:

[tex](6,3)[/tex]

Step-by-step explanation:

[tex]4x = 8y\\4x/4 = x\\8y/4= 2y\\x=2y[/tex]

[tex]2(2y)+5y=27\\4y+5y=27\\9y=27\\9y/9=y\\27/9=3\\y=3[/tex]

[tex]x =2y\\x= 2(3)\\x=6[/tex]

Answer:

-4 for else the other sign as no value as of I knw

Answer:

Answer is D. 2 & -2

Answer:D

I THINK

Step-by-step explanation:

Hopefully this is the right one

I'm pretty sure you just multiply the 1 1/4 by 3 because if 1 1/4 makes 10 muffins you need to make 3 more dozens so 1 1/4 times 3 equals 3.75

Answer:

18cm

Step-by-step explanation:

10        ?

25      45

cross multiply,

10*45

=450

then divide,

450/25

=18

Answer: 9(2p-4)

The greatest common factor of 18 and 36 is 9.

Divide 9 by 18, and 9 by 36.

36 ÷ 9 = 4

18 ÷ 9 = 2

We have to add p to the 2 as well, and a 4 in parentheses.

We get the answer 9(2p-4).

Answer:

It would be a and c

Step-by-step explanation:

Answer:

a pic of ur math?

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

Two groups are going on a trip to a theater. The first group has 30 students and 4 adult chaperones. The second group has 25 students and 4 adult chaperones. The cost, in dollars, for each student ticket, s, and each adult ticket, a, can be determined using the system of equations below.

30s+4a=720

25s+4a=620

What is the cost for each student ticket?

Solution:

30s+4a=720

(1)

25s+4a=620 (2)

Subtract (2) from (1)

30s - 25s = 720 - 620

5s = 100

Divide both sides by 5

s = 100/5

= 20

s = $20

Substitute the value of s into (1)

30s + 4a = 720

30(20) + 4a = 720

600 + 4a = 720

4a = 720 - 600

4a = 120

a = 120 / 4

= 30

a = $30

Each student tickets cost $20

Answer:

x<−8

Step-by-step explanation:

4x+49−9<−x

4x+40<−x

40<−x−4x

−

​5

​

​40

​​ >x

−8>x

x<−8

Answer: <FGI = 54

Step-by-step explanation:

180-126=54

u go to agora cyber charter school?

whos ur math teacher is it  Mrs. P?

The value of the angle ∠FGI will be equal to 54 degrees.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. The supplementary angles are the angles having the sum of 180 degrees.

Given that there are two parallel lines FH and CE. The value of the angle  ∠HGI is 126°. The value of the angle ∠FGI will be calculated as:-

Use the supplementary property and calculate the value of ∠FGI.

∠FGI + ∠HGI = 180

∠FGI + 126 = 180

∠FGI = 180 - 126

∠FGI = 54

Therefore, the value of the angle ∠FGI will be equal to 54 degrees.

To know more about supplementary angles follow

https://brainly.com/question/2046046

#SPJ5

Answer:

d and a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

10 + (-42)

10 - 42

-32

Answer:

The solution is x=2 and y=-1

Step-by-step explanation:

(step 1)

4x + 2y = 6

x - y = 3 - then multiply by 2

4x +2y = 6

2x -2y = 6 then add

6x  x   = 12 x = 12/6 = 2

Substitue back in (step 1)

4 x 2 + 2y = 6

   8 + 2y = 6

Answer is = 2y = -2  y= -1

Solution: x= 2

               y= -1

Answer:

x = 2.67

Move variables to the right and constants to the left, Then divide and you get the answer.

Step-by-step explanation:

-1.3+4.6x=0.3+4x (given)

-1.3x + 0.6x =0.3 (subtraction property of equality)

0.6x = 1.6 (addition property of equality)

x = 2.66666666667 (division property of equality)

2.66666666667 = 2.67 (rounding to the nearest tenth)

Answer:

_3x>+31 but I am not sure

Step-by-step explanation:

-5x<-2x+8+23

-3x>+31

Answer:

x > -5

Step-by-step explanation:

1.) Add +5x on both sides

-5x + 8 < - 2x + 23

+5x         +5x      

8    <    3x + 23

2.) Subtract 23 from both sides

8    <    3x + 23

-23            -23

-15  <  3x

3.) Divide by 3 on both sides

-15 <  3x

 3        3

-5 < x

Because you divided by a negative, the sign flips

-5 > x

Answer:

909

Step-by-step explanation:

I'm not sure if I'm right plz tell me if I'm wrong

Answer:Rigid motions preserve collinearity. Reflections, rotations, and translations are all rigid motions.

Step-by-step explanation:

Answer: A. f(x) = (x - 1)²

Step-by-step explanation: