State whether the given measurements determine zero, one, or two triangles.
A = 61°, a = 23, b = 24

Answers

Answer 1

Answer:

One

Step-by-step explanation:

Find the value of B

Applying the law of sines

[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{b}{sin(B)}[/tex]

substitute the given values

[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{24}{sin(B)}[/tex]

sin (B) = [tex]\frac{24}{23}[/tex]Sin(61)

step 2

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

61 + 65.87 + C = 180

C = 53.13

step 3

Find the value of c

Applying the law of sines

[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{c}{sin(C)}[/tex]

substitute the given values

[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{c}{sin(53.13)}[/tex]

c = [tex]\frac{23}{sin(61)}[/tex]SIN (53.13)

C=21.04 units

so

there can only be one value for each measurement, therefore there can only be one triangle

Answer 2

Answer:

The answer is 2 triangles

Step-by-step explanation:

I took the test.


Related Questions

will mark brainlyest 10/19

Answers

Answer:

answer is 5

Step-by-step explanation:

A city planner wants to build a bridge across a lake in the park. To find the length of the bridge, he makes a right triangle with one leg and the hypotenuse on land and the bridge as the other leg. The length of the hypotenuse is 340 feet and the other leg is 160 feet. Find the length of the bridge

Answers

Answer:

The length of the bridge is 300 feet.

Step-by-step explanation:

Let A represent the length of one leg.

Let B represent the length of the other leg (i.e length of the bridge)

Let C represent the length of the Hypothenus.

From the question given above, the following data were obtained:

Length of Hypothenus (C) = 340 feet.

Length of one leg (A) = 160 feet.

Length of the bridge (B) =.?

The length of the bridge can be obtained by using the pythagoras theory as illustrated below:

C² = A² + B²

340² = 160² + B²

115600 = 25600 + B²

Collect like terms

115600 – 25600 = B²

90000 = B²

Take the square root of both side

B = √90000

B = 300 feet

Therefore, the length of the bridge is 300 feet

Help me someone please I’m lost and confused??

Answers

Answer: go to Cymath

Step-by-step explanation: This helped me with like everything in math class! It gives you step by step answers

The ratio of collectible cards Kyle owns to cards that Zeona owns is 3:2. Zeona has 36 cards. How will the ratio of Kyle’s cards to Zeona’s cards change if they both sell half of their cards? Explain.

Answers

Answer:

It wouldn't.

Step-by-step explanation:

With the ratio, since Zeona has 36 cards, Kyle must have 54. If they each sold half, Kyle would have 27 and Zeona would have 18. So, the ratio would still be 3:2.

What's the answer ?
A. B. C. Or D? ​

Answers

Answer:

D.) y=-x-2

Step-by-step explanation:

Answer:

D.) y=-x-2

Step-by-step explanation:

Trust me I just know

Can You Please Help? I swear I will mark brainliest

Answers

Answer:

The answer is 2 inches

Step-by-step explanation:

U just have to divid 20 by 10 and you get ur answer

You have $50 in your bank account. You withdraw $60 from your bank account. What is your new balance?

Answers

Answer:

you would not be able to withdraw $60

Step-by-step explanation:

$50 is less than $60

Answer:

$-10 (you wouldn't be able to withdraw 60, only 50 or less.)

Step-by-step explanation:

You have $50 and you withdraw $60 from your bank account, if you did that, you would've had -10 dollars in your bank account.

And you wouldn't be able to withdraw 60, only 50 or less.

(~ ̄▽ ̄)~Hope this helps!

pair that describes <2 <3

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The angles 2 and 3 are corresponding angles. So it's choice C.

Tip: Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

if medain of 10, 20, x+5,x+10,50,60 is 35 then find x

Answers

Answer:

X = 27

Step-by-step explanation:

10, 20, 32, 37, 50, 60

First things first, take off 10, 20, 50, and 60.

Now, you remain with 32 and 37. Now from here it is simple.

Average of 32 and 37 = 34.83

Round 34.83 to 35

32 averaging 37 (Rounding Terms) ≈ 35

So X is 27

what is the value of x?

Answers

Answer:

84°

Step-by-step explanation:

I know that the other angle (not x) is 48 because the lengths are the same of 2 sides. Therefore I can use 180-48-48 to get 84, the correct answer.

Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.

Answers

Answer:

whats the question

Step-by-step explanation:

whats the question

Answer:The rest of the question is: Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Step-by-step explanation:

Took the test

What would be the best first step in solving 0.05x + 0.01 = 0.025? Explain.

Answers

Answer:

Step-by-step explanation:

it would be to subract 0.01 from 0.025 because you want to get the x by itself

please help i'm stuck :,)

Jacob and Sophia are in a running club and record how long it takes them to run a 5-kilometer race. Jacob's time was 4 minutes under the average time of the running club. The difference between Jacob's time and Sophia's time is 10 minutes. The possible times of Sophia's run are ____ minutes below the average or ____ minutes above the average.

Answers

Answer:

14 minutes below or 6 minutes above

Step-by-step explanation:

Let's say Sophia's time was 10 minutes WORSE

4 minutes below average- 10 minutes= 14 minutes below average

Let's say Sophia's time was ten minutes BETTER

4 minutes below average + 10 minutes= 6 minutes above average.

Hope this helps!

Answers:

14 minutes below the average

6 minutes above the average

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

Let A = average running time

Jacob's time was 4 minutes under the average, so his time is A-4 minutes. Whatever A is, subtract off 4, and you'll get Jacob's time.

Sophia and Jacob have a difference of 10 minutes. If J = Jacob's time and S = sophia's time, then S-J = 10 or J-S = 10 depending on who has the larger time.

We can use absolute value to ensure that whatever we pick (S-J or J-S) will be positive. So |S-J| = 10. Recall that absolute value represents distance on a number line. Negative distance isn't possible.

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

Let's plug in J = A-4 and solve for S

|S-J| = 10

|S - ( J )| = 10

|S - (A-4)|

|S-A+4| = 10

S-A+4 = 10  or  S-A+4 = -10

S-A = 10-4  or  S-A = -10-4

S-A = 6  or  S-A = -14

S = A+6 or S = A-14

The equation S = A+6 shows Sophia is 6 minutes above the average

The equation S = A-14 shows Sophia is 14 minutes below the average

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

Let's pick some number for A that is over 14 minutes. Let's say the average running time is A = 20 minutes.

If A = 20, then Jacob's time is J = A-4 = 20-4 = 16

If the average running time is 20 minutes, then Jacob ran for 16 minutes.

If we subtract 10 from this, then J-10 = 16-10 = 6 is one possible time for Sophia. Notice how this is 14 minutes below the average (20-14 = 6)

If we add 10 to Jacob's time, then J+10 = 16+10 = 26, which is 6 minutes overage the average (20+6 = 26)

This is one numeric example, but you could use any value of A that you want as long as it's larger than 14. The reason A has to be larger than 14 is to ensure that Sophia's lower time value (A-14) is not negative. Having a time of zero is not feasible either.

I dont get the question​

Answers

its asking how many points on the graph you need to move down and to the left or right to make the orange shape line up with the purple shape

david and Jack share $120 in the ratio 3:5.how much did david get ?​

Answers

Answer:

$45

Step-by-step explanation:

ratio is 3:5

David gets 3x, Jack gets 5x

So, 3x+5x=120

8x=120

x=15

David got 3x = 3*15 = $45

Answer:

45$

Step-by-step explanation:

120/8=15

15*3=45

because it is 3:5 ratio

Which function has exactly three distinct real zeros? A. h(x) = (x − 9)2(x − 4)2 B. h(x) = x(x + 7)2 C. h(x) = (x − 3)(x + 1)(x + 3)(x + 8) D. h(x) = (x − 2)2(x + 4)(x − 1)

Answers

Answer: D is the correct answer .

D. h(x)= (x-2)^2(x+4)(x-1)

Step-by-step explanation: For Plato users the correct answer is D .

The function which has three distinct zeroes is h(x) = (x − 2)²(x + 4)(x − 1), the correct option is D.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The zeroes of the function are the point at which the function value becomes 0.

The function which have three distinct real zeroes is

h(x) = (x − 2)²(x + 4)(x − 1)

(x-2)² = 0

x = 2

(x+4) = 0

x = -4

x-1 = 0

x = 1

To know more about Function

https://brainly.com/question/12431044

#SPJ5

Please help asap!! I'll give you brainliest!!

What is the slope of the function, represented by the table of values below?

Answers

Answer:

-4

Step-by-step explanation:

To find the slope, you can use the formula y2-y1/x2-x1. Plugin any set of values. Say 13 is y2, and 5 is y1. 13-5=8. We now have 8/x2-x1. You have to use the x-values of the y-values that you already used. -2 is x2 and 0 is x1. -2-0=-2. 8/-2 = -4.

which angle pairs are congruent? Select all that apply

Answers

Answer:

Step-by-step explanation:

The first and last one

What is an equation of the line that passes through the points
(0,8) and
(−8,−4)? Put your answer in fully reduced form.

Answers

I guess ,

y+4 = 1.5 (x+ 8)
y+4 = 1.5x + 12
1.5x - y = -12+4


1.5x - y = -8

Answer:

Answer given in the photo

What 98 x 8 divided by 2 and what is this game called

Answers

Answer:

392 and Overwatch I think

Step-by-step explanation:

Answer:

392 and overwatch, the other guy deleted his answer soo imma hop in here and put the answer.

Step-by-step explanation:

can anyone help me?​

Answers

Answer:

Literally take your f(x) and - your g(x)

(x^2+9x+18) - (x + 6)

Remember to distribute the negative sign.

Find the total distance from Mercury to Earth. HELP!

Answers

Answer:

5.67*10^7

Step-by-step explanation:

Since the distance from mercury to venus is 30,700,000, and the distance from venus to earth is 26,000,000, we can simply add these together to find the distance from mercury to earth:

 30,700,000

+26,000,000

__________

 56,700,000

Now, to convert it to scientific form, just multiply 10^7 (which is the number of digits-1) and 5.67. Therefore, the answer is 5.67*10^7

6x+3<7-2x
I’m not sure if I’m doing it right so an explanation would be nice

Answers

Answer:

x<0.5

Step-by-step explanation:

this is just like simplifiying equations if you've done that before

first you want to isolate the variable, so you want to combine the values of x (in this case it's 6x and the -2x)

so you can either add 2x to both sides or you can subtract 6x on both sides, in this case ill just add 2x to both sides.

Then you subtract 3 from both sides to get 8x<4

after you get that, you want to divide both sides by 8, and you generally want to do that step last, it makes it easier, and you get x<1/2 or 0.5

just a reminder that with working with inequalities, you want to remember to flip the direction the inequality is whenever you divide by a negative number

Translate this into an equation.
The product of Greg's height and 5 is 90.
use g to represent Greg's height.

Answers

Answer:

g times 5 equals 90

Step-by-step explanation:

Answer:

g5 = 90

Step-by-step explanation:

if Greg's height is and 5 is the product of 90 that means you have to multiply g and 5 together to equal 90.

Amelia practices the piano 980 minutes in 4 weeks. At what rate did she practice, in minutes per day?

Answers

Answer:

35 minutes a day.

Step-by-step explanation:

4*7=28

980/28=35

Answer:

35

Step-by-step explanation:

980 divided by 28 (days in a month)

The math book was originally $10. the bookstore placed it on sale for $5. find the percent of decrease

Answers

Answer: 50%

Step-by-step explanation: math

Need help (don’t give me inn correct answer and don’t comment if you don’t know)

Answers

Answer:

I believe that the answer is number 2

Step-by-step explanation:

help!! will mark brainly
Instructions: Evaluate the following expression and enter the final simplified answer in the box provided.

36÷−4=

Answers

Answer:

the answer is 9 so yeah.....

ryan took a history test with 25 questions. 60% of the questions were multiple choice. How many questions were multiple choice?

Answers

Answer:

15

Step-by-step explanation:

3√5•3√2 =
A. √10
B. 9√10
Which one? ​

Answers

Answer: Choice B

Work Shown:

[tex]x = 3\sqrt{5}*3\sqrt{2}\\\\x = (3*3)(\sqrt{5}\sqrt{2})\\\\x = 9\sqrt{5*2}\\\\x = 9\sqrt{10}\\\\[/tex]

The rule used on line 3 is [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]

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