Kenia rotated Triangle ABC 90° counterclockwise to create Triangle A’B’C’. If Kenia performed this transformation correctly, what is the measure of angle B'? What is the measure of angle A and C. Number value only. URGENT

Kenia Rotated Triangle ABC 90 Counterclockwise To Create Triangle ABC. If Kenia Performed This Transformation

Answers

Answer 1

Answer:

B' = 105°

C = 27°

A = 48°

Step-by-step explanation:

Given

B = 105°

C = (2x - 3)°

C' = (5x - 48)°

Rotation = 90°

Before solving the requirements of this question, it should be noted that rotation do not change the angle of shapes.

i.e. an angle retain its measurements pre and after rotation.

Solving (a): The measurement of B'

Using the analysis above.

B' = B

Recall that

B = 105°

So:

B' = 105°

Solving (b): A and C

First, I'll solve for C.

Using the same analysis above.

C = C'

Substitute values for C and C'

5x - 48 = 2x - 3

Collect like terms

5x - 2x = 48 - 3

3x = 45

Multiply both sides by ⅓

⅓*3x = ⅓*45

x = 15

Substitute 15 for x in

C = (2x - 3)°

C = 2 * 15 - 3

C = 30 - 3

C = 27°

Solving for A

The sum of angles (A, B and C) is represented as:

A + B + C = 180

Substitute values for B and C

A + 105° + 27° = 180°

A + 132° = 180°

Collect like terms

A = 180° - 132°

A = 48°


Related Questions

Find the slope of the line represented by the table

Answers

Answer:

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (1, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-8}{1-3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3

Which of the following represents a reflection of (-3, 4) across the y-axis?
(-4, 3)
O (-3,-4)
O (3, 4)
O (4, -3)

Answers

(-4, 3) is the right one






which statement is true regarding the functions on the graph?

Answers

Answer:

f(3)=g(3)

Step-by-step explanation:

the only one i see is that

f(3)=g(3)

because the two functions intersect there

that means the two values are the same

57.351 rounded to the ones place

Answers

How do you round to the ones place?

Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place. If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is.

Answer:

Step-by-step explanation:

do u mean round to the nearest 10th as in one decimal place or to the nearest  one not decimal place?

Helppp pleaseee, abc= dce. If ac=5 and bc=7 cd=?

Answers

Answer:

CD = 5

Step-by-step explanation:

Given that ∆ACB is congruent to ∆DCE, it follows that their corresponding angles and corresponding side lengths are congruent to each other. Thus:

AC is congruent to CD,

BC is congruent to EC, and

AB is congruent to DE.

Since AC = 5, therefore CD = 5.

F(x)=x/2 +8, what is f(x) when x = 10?
4
ОООО
13
36

Answers

Answer:

13

Step-by-step explanation:

Just replace x with 10, so F(10) = 10/2 + 8. Which is 5 + 8.

how do i right the half of x pls help will give brainliesst answer

Answers

Answer:[tex]\frac{1}{2}[/tex]x or x/2

Step-by-step explanation:

plz help !!!!! complete the function tables then graph

Answers

Answer:

Step-by-step explanation:

Last year, Jeffrey grew 5/8 of an inch and his brother grew 1/2 of an inch. How much more
did Jeffrey grow than his brother?
Simplify your answer and write it as a fraction or as a whole or mixed number.

Answers

Answer:

Jeffrey grew 1/8 inch more than his brother

Step-by-step explanation:

5/8 - 1/2 = 5/8 - 4/8 = 1/8

Answer:

[tex]\frac{5}{4}[/tex] [tex]or[/tex] [tex]1.25[/tex]

Step-by-step explanation:

[tex]\frac{5}{8}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]?[/tex]

[tex]\frac{5}{8}[/tex] = [tex]0.625[/tex]

[tex]\frac{1}{2}[/tex] = [tex]0.5[/tex]

[tex]\frac{0.625}{0.5}[/tex] = [tex]\frac{5}{4}[/tex]

[tex]Therefore,[/tex] [tex]\frac{5}{4}[/tex] [tex]is[/tex] [tex]the[/tex] [tex]answer.[/tex]

Hope this helps! <3

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y=-3x
ООО
y=-3x - 4
y = -3x + 4
O y=-3x + 2

Answers

Y = -3x + b
Plug in points
4 = -3(-2) + b
4 = 6 + b, b = -2
Solution: y = -3x - 2

In which situation would it be appropriate to use square feet as a measurement?

Answers

Answer:

The correct answer is B ; Karla must determine the area of a floor in her house.

A cookie factory uses 1/10 of a barrel of oatmeal in each batch of cookies. The factory used
2/5 of a barrel of oatmeal yesterday. How many batches of cookies did the factory make?

Answers

Answer:

4

Step-by-step explanation:

2/5 is the same as 4/10

Solve the equation.
k/-9 =7

Answers

Answer:

k=-63

Step-by-step explanation:

multiply both sides by -9

k=7*-9

k=-63

Answer:

-63

Step-by-step explanation:

by simplifying both sides of the equation, then isolating the variable.  k= -63

-9 x 7 = -63

2 mi = ____ ft Please help! :((

Answers

Answer:

2 mi = 10560 ft

Step-by-step explanation:

you coulve searched it up

Answer:

you multiply it by 2 so its 10560

10. DESIGN Mr. Hagarty is choosing tiles to design a kitche backsplash for a rectangular area 65 inches wide and 9 in tall . Design a backsplash using each type of rhombi-shape tile that minimizes cost. a. diagonals of 1 inch and 1.5 inches, $0.05 each b. diagonals of 1.5 inches and 2 inches, $0.07 each Areas of Trapezoids, Rhombi, and Kites 2 © B O DO​

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Answer:

I honeslty dont know I just need points to answer a question

Step-by-step explanation:

hope you find the answer youre looking for!

PICTURE BELOW....................

Answers

Answer: C

Step-by-step explanation: 45 divided by 18 is 2.5

How many 2-inch cubes are needed to completely fill a cubic box that measure 8 inches.

Answers

Answer:

It will be 64 cubes.

Step-by-step explanation:

if one side is 8 inches then 8/2 is 4

to fill one face, 4 × 4 = 16

to fill a cube 16 × 4 = 64

Answer: 64 cubes will fit

Yupjyyhttgtgthyuygrcgtchty

Mary is 3 years older than twice her brother's age, a. Which expression
represents Mary's age?
A. 2a + 3

B. 2a - 3
C. 3a + 2

D. 3a - 2

Answers

Answer:

C. 3a + 2

Step-by-step explanation:

brainiest plz

the answer is a


explanation: if she’s 3 years older you will have to add that on to the brothers age (a) and a needs to be multipled by 2 cuz it says twice than

if you can buy 3 loaves of bread for $5 how many loaves can you buy for $12

Answers

Answer:

You can buy 6 because it cost 2.50 for 1 loaf

Step-by-step explanation:

WHATS THE ANSWER HELP

Answers

The answer to that problem is (3, 1)

Question 3
And question 4 pleaseeee help!!

Answers

Answer:

see pdf

Step-by-step explanation:

can u pls help me with this question ​

Answers

Answer: a or d

Step-by-step explanation:

1- The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55. If we assume a normal distribution and a standard deviation of 5 $0.20, what proportion of passenger trips produced a revenue of Source: American Public Transit Association, APTA 2009 Transit Fact Book, p. 35.
a. less than $1.55?
b. between $1.15 and $1.95? c. between $1.35 and $1.75? d. between $0.95 and $1.55?

Answers

Answer:

0.5

0.9545

0.68268

0.4986501

Step-by-step explanation:

The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55. If we assume a normal distribution and a standard deviation of 5 $0.20, what proportion of passenger trips produced a revenue of Source: American Public Transit Association, APTA 2009 Transit Fact Book, p. 35.

a. less than $1.55?

b. between $1.15 and $1.95? c. between $1.35 and $1.75? d. between $0.95 and $1.55?

Given that :

Mean (m) = 1.55

Standard deviation (s) = 0.20

a. less than $1.55?

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

b. between $1.15 and $1.95?

P(x < 1.15)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.15 - 1.55) / 0.20 = - 2

p(Z < - 2) = 0.02275 ( Z probability calculator)

P(x < 1.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.95 - 1.55) / 0.20 = 2

p(Z < - 2) = 0.97725 ( Z probability calculator)

0.97725 - 0.02275 = 0.9545

c. between $1.35 and $1.75?

P(x < 1.35)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.35 - 1.55) / 0.20 = - 1

p(Z < - 2) = 0.15866 ( Z probability calculator)

P(x < 1.75)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.75 - 1.55) / 0.20 = 1

p(Z < - 2) = 0.84134 ( Z probability calculator)

0.84134 - 0.15866 = 0.68268

d. between $0.95 and $1.55?

P(x < 0.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (0.95 - 1.55) / 0.20 = - 3

p(Z < - 3) = 0.0013499 ( Z probability calculator)

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

0.5 - 0.0013499 = 0.4986501

Which equation should you solve to find x?

Answers

Answer:

B

Step-by-step explanation:

[tex]sin ~26^\circ=\frac{x}{10}[/tex]

Answer:

sin 26 = x/10

Step-by-step explanation:

A snail can crawl 2/5 of a meter in a minute.


How many minutes will it take the snail to crawl 6 meters?


Please give me an answer A S A P.

Answers

15 minutes to crawl 6 meters
6/0.4= 15
The snail crawls .4 meters per minute and .4*15=6

Please help me 20 points!!!!!

Answers

Answer:

A. 0.4 km

B. 48 fruits to 12 vegetables

C. 72 hours

60%

Step-by-step explanation:

1 km = 1000 m

You have 400 m

1000m/1km = 400m/1000m

400/1000

0.4km

4:1

Ok so an easy way to do this one is multiplication.

you need the number of fruits to be 4 times more than the number of vegetables.

A would be 2:1 because 16 is 2 times more than 8

B would be 4:1 because 48 is 4 times more than 12

C would be 8:1 because 24 is 8 times more than 3

D would be 3:1 because 60 is 3 times more than 20

B would be the correct answer

If they traveled 216 miles in 3 hours, to find average you have to divide miles by hours.

216/3

72 hours

The tigers won 12 of their last 20 games.

12/20

0.6

Percent is 100 times the decimal.

0.6*100

60%

Don't be afraid to reach out with any more questions! I hope this helps!

Which diagram demonstrates the problem 3x 1/4

Answers

Answer:

A.

Step-by-step explanation:

3 * 1/4 = 3/4

Which answer shades 3 out of 4 blocks? A.

Answer:

the answer is A

Step-by-step explanation:

3 * (1/4) = .75.... Think about how many quarters make a dollar .75 cents is 3/4 of a dollar

One serving of yogurt is 95 calories. How many calories are in 2.5 servings of yogurt ?

Answers

Answer:

237.5 calories

Step-by-step explanation:

One serving has 95

so 2.5 serving has

2.5×95= 237.5

Plz mark brainliest

thanks

can someone help me with this

Answers

3 + 6 ( 4 + 3 ) is the answer

Answer:

30

Step-by-step explanation:

3 + (6 * 4) + 3 = 30

hope this helps

the answer below thanks

Answers

Answer:

The equation of the circle having centre (-5,-9) and radius r=3  is

x² + 10 x +y² + 14 y + 65 = 0

Step-by-step explanation:

Explanation:-

From graph  The centre of the circle  C( -5 , -7)

The radius of the circle r = 3cm from the centre of the given circle

The equation of the circle



From graph the centre ( h, k) = ( -5,-7) and r = 3cm

                 [tex](x-(-5))^2+(y-(-7))^2 = 3^2[/tex]

                x² + 10 x +25 +y² + 14 y + 49 =9

              x² + 10 x +25 +y² + 14 y + 49 -9=0

 The equation of the circle

                x² + 10 x  +y² + 14 y + 65 = 0  

 



                     

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