Consider the non-right triangle below.

Suppose that m∠BCA=71∘, and that x=31 cm and y=50 cm. What is the degree measure of ∠ABC?
m∠ABC=

Consider The Non-right Triangle Below.Suppose ThatmBCA=71, And Thatx=31 Cm Andy=50cm. What Is Thedegree

Answers

Answer 1

Answer:

m<ABC = 71°

Step-by-step explanation:

Given:

m<BCA = 71°

x = 31 cm

y = 50 cm

Required:

m<ABC

Solution:

First, find AB, using Cosine Rule:

AB² = x² + y² - 2xy*Cos m<ABC

Plug in the values

AB² = 31² + 50² - 2(31)(50)*cos 71

AB² = 3,461 - 1,009.26128

AB² = 2,451.73872

AB = √2,451.73872

AB = 49.5150353 ≈ 50 cm

✔️Since AB ≈ 50 cm, and AC is also 50 cm, it means the triangle is an isosceles triangle.

Therefore, the base angles of ∆ABC, <ABC and <BCA, would be congruent.

Therefore,

m<BCA = m<ABC = 71°

m<ABC = 71°


Related Questions

There are 20 pieces of fruit in a bowl and 8 of them are
bananas. What percentage of the pieces of fruit in the
bowl are bananas?

Answers

40% of the pieces of fruit in the Bowl are apples.
Step-by-step explanation:
Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.
⇒ Total number of pieces of fruit in a bowl = 15 pieces
and
Number of pieces of apple in a bowl = 6 pieces.
To find the percentage of the pieces of fruit in the Bowl are apples.

=
Therefore, 40% of the pieces of fruit in the Bowl are apples.

Please I need help it’s an emergency

Answers

Answer:

A. [tex] 4\sqrt{6} [/tex]

Step-by-step explanation:

Applying the leg rule which is:

[tex] \frac{Hypotenuse}{leg} = \frac{leg}{part} [/tex]

Hypotenuse = 4 + 8 = 12

Leg = x

Part = 8

Plug in the values

[tex] \frac{12}{x} = \frac{x}{8} [/tex]

Cross multiply

[tex] x*x = 8*12 [/tex]

[tex] x^2 = 96 [/tex]

[tex] \sqrt{x^2} = \sqrt{96} [/tex]

[tex] x = \sqrt{16 * 6} [/tex]

[tex] x = 4\sqrt{6} [/tex]

Two boys A and B are a two diametrically opposite points on a circle. at one instant the two start running on the circle​

Answers

Step-by-step explanation:

let the distance travel by both be a&b

a has a distance of d1 like wise b

speed=distanc/time

d1=2v

d2=4v

total distance

d1+d2=180

2v+4v=180

6v=180

v=30

d1=2*30

d1=60

d2=4*20

d2=120

now start u get u starting

not that there meet at same point so now calculate the time they will trave in there various direction

time=distance/velocity

but they but move at a standard velocity

Answer:

is this the full question:  Two boys A and B are at two diametrically opposite points on a circle. At one instant the two start running on the circle; A anticlockwise with constant speed v and B clockwise with constant speed 2v. In 2 minutes, they pass each other for the first time. How much later will they pass each other for the second time?

if yes than this is the answer:-

A speed = v

B speed = 2v

Time to meet = 2 minutes

d= pi r ( distance they have to run to meet)

they are running towards each other.

(2v+v)

speed = 3v

d=rt

pi*r = 3v*2

r= 6v/pi

circumference = 2* pi*r

=2*pi*(6v/pi)

=12v

...

Now distance to travel to meet = 12v

speed = 3v

t=d/r

t= 12v/3v

t= 4 minutes

I hope this helps a little bit.

A college student takes the same number of credits each semester. She had 12 credits when she started, and after
semesters, she had 96 credits.
Which of these expresses the rate at which she is earning credits?

Answers

Answer:

The student obtains his 12 credits each semester during 8 semesters.

Step-by-step explanation:

Since a college student takes the same number of credits each semester, and she had 12 credits when she started, and after

semesters, she had 96 credits, to determine the rate at which she is earning credits, the following calculation must be performed:

96/12 = 8

Thus, the student obtains his 12 credits each semester during 8 semesters.

PLEASE PLEASE PLEASE NUMBER 5!

Answers

Answer:

Step-by-step explanation:

Can someone help please !! I appreciate it

Answers

ANSWER
x=2
EXPLANATION
I’m smart don’t worry

Ans

Step-by-step explanation:

please help find the perimeter

Answers

Answer:

Perimeter of the given figure = 28 units

Step-by-step explanation:

Perimeter of the given figure = Length of AB + Length of BC + Length of CD + Length of DE + Length of EF + Length of FG + Length of GH + Length of AH

Length of AB = 4.5 units

Length of BC = 2 units

Length of CD = 2 units

Length of DE = 4 units

Length of EF = 5.5 units

Length of FG = 1.5 units

Length of HG = 1 units

Length of AH = 7.5 units

Perimeter of ABCDEFGH = 4.5 + 2 + 2 + 4 + 5.5 + 1.5 + 1 + 7.5

                                          = 28 units

3
Se registró el número de puntos que hizo mejor jugador del equipo Los Cimarrones en cada partido
de la pasada temporada de baloncesto. Los resultados fueron
15 12 18
18 22 23 24 18 22 2
12 14 28 11
14 17 26
14 20
Halle la moda, media y mediana, no olviden ordenar de menor a mayor​

Answers

The second model is it

Help please I give brainliest

Answers

Answer:

B

Step-by-step explanation:

Answer:11,15

Step-by-step explanation:

x axis is 11

y axis is 15

y axis stands talll

x axis lays down

3x+2-10-3x=
Term:
Like Term:
Coefficients:
Constant:
Which one is it?

Answers

Term: 3x, 2, -10, -3x
Like Terms: 3x and -3x
Coefficients: 3 and -3
Constant: 2-10 is -8 so -8 is your constant

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

radioactive dating of rocks

HELPPP PLEASE WILL GIVE BRAINLIEST
What is the value of
-3x(7+(-3^2))/3
A. 13
B. -2
C. -16
D. -48

Answers

The would be -16x because

How do you find a fraction between 1 4/6 and 1 5/6? ILL GIVE BRAINLEST

Answers

Answer:

To find a fraction between two fractions, all we need to do is make the sum of the numerators be the new numerator, and the sum of the denominators be the new denominator. then write down the number of rational number you want. if you need more then multiply the denominator and numerator by 10,100.

Step-by-step explanation:

Answer:

21/12

Step-by-step explanation:

You can multiply the number: 1 4/6  1 5/6

10/6  and  11/6

20/12 and 22/12

21/12

I think I am not sure, I have not learned it.

Trinity scores 4 points in the first round of a card game. In the next round, she loses 6 points. How many points does Trinity have after two rounds?

Answers

she has to have 13 points because of who would she loose to and also that statment

The table below shows the prices for different items at a bakery. Bakery Prices Dessert Price (in dollars) Cookie 0.33 Pretzel 0.97 Cupcake 1.06 Cami buys 1 cupcake, 2 cookies, and 3 pretzels at the bakery. What is the total price for the items Cami buys? A.$2.36 B $2.69 C.$4.63​

Answers

Answer:

C $4.63

Step-by-step explanation:

1.06 cup cake + 66 2 cookies + 2.91 3 pretzels

1.06+.66+2.91 = $4.63

Find the RANGE for the function f(x) = -4x - 9 if D = {1/2 ,0}

Answers

Answer:

-11, and -9 is the range for 1/2 and 0 respectively

Step-by-step explanation:

There are 680 students in a school. Of the students, 55% are girls and the rest are boys. How many more girls than boys are there in the school?​

Answers

55% of 680 is 374
680-374=
306

How do I solve 1 1/3 × 2 2/4 is steps?​

Answers

Answer:

40/12 or 3 1/3

Step-by-step explanation:

To multiply mixed numbers, first change any mixed number to an improper fraction. Then multiply the numerators together and the denominators together

1 1/3 as an improper fraction is 4/3 and 2 2/4 as an improper fraction is 10/4.

4*10=40

3*4=12

What is the measure of angle 8 ? (Number only for the answer; no degree
symbol) *

Answers

The number for angle 8 is 65 Bc it’s vertical from 65

answer is 65 degree......

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

18 grids for each side

have a nice day ^_^

Answer:

8.0 represents how many squares there are on one side but that will measure to be 4mm on each side. We need to make it 9mm on each side by making the processor bigger and adding 5mm.

½=0.5 and thats 1 square.

Expand each side by 10 and that'll make the processor 9mm.

Simplify 1/2(8-4g) pls help me

Answers

Answer:

2(-g+2)

Step-by-step explanation

Answer: −2g+4

Step-by-step explanation:

I attached image of explanation! Hope this helps!

Question
Is the statement below true or false?
A sampling error is the situation in which not all members of the population are equally likely to be selected.

Answers

Answer:

I think it's true sorry if I get it wrong

Answer: it is false, I hope this helps you out!

Which choice shows 1/4 of 8

Answers

Answer:

there is no picture so I dont know what i have to do..



PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.


Answers

Answer:

C

Step-by-step explanation:

Evolution is where organisms have developed over time from simple to complex. Therefore we can rule out D because older rock layers should have simple organisms and A because new rock layers should have more complex organisms. The previous organisms will be unlike those of today, therefore the correct answer is C.

What is 566.8 divided by 52

Answers

Answer: It's 10.9 hope this helps have a awesome day/night❤️✨

Step-by-step explanation:

Step 1

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:

5  5 2

Step 2

We can work out that the divisor (5) goes into the first digit of the dividend (5), 1 time(s). Now we know that, we can put 1 at the top:

1  

5  5 2

Step 3

If we multiply the divisor by the result in the previous step (5 x 1 = 5), we can now add that answer below the dividend:

1  

5  5 2

5  

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (5 - 5 = 0) and write that answer below:

1  

5  5 2

- 5  

0  

Step 5

Move the second digit of the dividend (2) down like so:

1  

5  5 2

- 5  

2  

Step 6

The divisor (5) goes into the bottom number (2), 0 time(s), so we can put 0 on top:

1 0  

5  5 2

- 5  

2  

Step 7

If we multiply the divisor by the result in the previous step (5 x 0 = 0), we can now add that answer below the dividend:

1 0  

5  5 2

- 5  

2  

0  

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (2 - 0 = 2) and write that answer below:

Suppose that the water level of a river is 34 feet and that it is receding at a rate of
0.5 foot per day. Write an equation for the water level, L, after d days. In how many
days will the water level be 26 feet? -3x+4y=y

Answers

The answer is C I just took the test

Find the value of the expression a--b* for a = 2 and b= 1

Answers

Answer:

3

Step-by-step explanation:

Given the expression a --b

Given that

a = 2

b = 1

Substitute into the expression

a--b

= 2 --1

= 2 - (-1)

= 2 + 1

= 3

Hence the required value is 3

Need help with this bc I suck at math:(

Answers

Answer:

-45c

Step-by-step explanation:

Answer:

4c

Step-by-step explanation:

[tex]\frac{-60*c^{7} }{-15*c^{4}}[/tex]

Let's reduce the numbers and then we'll reduce exponents of c.

[tex]\frac{-60}{-15}=4[/tex]

Using exponent rules, we simply subtract the exponent from the top and the exponent from the bottom.

7 - 6 = 1

The exponent of c is 1, which is just c

Combining this, we get 4c

ANSWER ASAP FOR BRANLIEST
Sonia is making a recipe that requires 2 cup of water and 5 cups of flour. Which of the following combinations shows the same ratio of water to flour?

Answers

Answer:

Well, I can't say which of the following combinations, because I can't see what you see. But I will list some equivalent ratios & hope one fits. If it doesn't, maybe type in the comments what the choices are & I can help more.

Step-by-step explanation:

2:5

4:10

6:15

8:20

10:25

12:30

14:35

Which table of ordered pairs represents a proportional relationship? I’m a timer please hurry thank you so much
х
-3
-4
-5
у
3
2
1
x
-1
-3
-5
у
1
3
5
-2.
-4
-6
y
1-5
1-7
-9
х
--2
-3
-4
у
0
-1
1-2
I

Answers

Answer:

I'd say the second one. the others are all showing a linear relatiknship

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