Find x, AB, BC, AC if △ABC is isosceles with AB = BC.

Answers

Answer 1

Step-by-step explanation:

Since we are not given the required parameters, we can use the following parameters

Given:  

∠ A  =  5 x + 30 °

∠ B  =  2 x

Since △ABC is isosceles with AB = BC, then ∠ A  = ∠ C (the base angles of an isosceles triangle are equal)

Since sum of angle in a triangle are the same, then;

∠ A  + ∠ B + ∠ C = 180°

Substitute the given functions and get x;

5x+30 + 2x + 5x+30 = 180

12x + 60 = 180

12x = 180-60

12x = 120

x = 120/12

x = 10°

∠ A  = 5x+30

∠ A  = 5(10)+30

∠ A  = 80°

Since ∠ A  =∠ C

∠ C = 80°

For ∠ B;

∠ B = 2x

∠ B = 2(10)

∠ B = 20°

Let AB = 1, since AB = BC, BC = 1

To get AC, use the sin rule;

a/sin∠ A  = b/sin∠ B

a/sin80 = 1/sin20

asin20 = sin80

a = sin80/sin20

a = 0.9848/0.3420

a = 2.879

Hence AC ≈ 3

Note that the values of the sides and angles are assumed.


Related Questions

Gabe bought five sacks of apples each sack weighed 12 lb he paid three for each pound of apples what was the total cost of all of the apples Gabe bought

Answers

Answer:

The cost of 12lbs of apples is $36.

Step-by-step explanation:

Lets Solve!

⟹ First we must define x and y.

 x is the lb's of apples and y is the cost.

⟹ Now lets form our equation.

[tex]3x = y[/tex]

[tex]x = 12[/tex]

⟹ Since gabe bought 12 pounds of apples x = 12.

⟹ Now substitute x for 12.

[tex]3x = y[/tex]

[tex]3(12)= y[/tex]

⟹ Now multiply.

[tex]36 = y[/tex]

The cost of 12lbs of apples is $36.

Three more than the product of a number and 2 equals 7.
for the unknown number

Answers

3 + 2n = 7

Hope this helps and have a nice day/night!!!

Answer: the unknown number is 2.

Step-by-step explanation: 2x+3=7

2x=7-3

2x=4

X=2

Plz someone help me out

Answers

Answer:

f

Step-by-step explanation:

iam not sure

best of luck

Answer:

F

Step-by-step explanation:

198/9=22 and the others are 25 24 and 23 I think but the point is they are not 22

Please help me answer please

Answers

Answer:

x=75

Step-by-step explanation:

Convert 21.3 feet per minute to yards per minute.

Answers

Answer:

7.1 yard per min

Step-by-step explanation:


Describe how to use scientific notation to write a very large number. Give an example written in both standard form and scientific notation.

Answers

Answer:

Scientific notation is simply changing a number to x times 10^n, where x is no more than 10 and more than 1.

For example, 134 would be 1.34 times 10^2.

100 = 1.
101 = 10.
102 = 100.
103 = 1,000.
104 = 10,000. When we have large numbers, we can rewrite them as powers of ten. ...
Let's Review: Scientific notation is a great way to rewrite numbers with lots of zeros so that they are easier to work with.

please help!! <3 and plsexplain how u got it *15 points*
Kiyo bought a pizza for $12.75 and four medium drinks at Pauli's Pizza. Define a variable and write an expression to represent the total amount of money he spent. Then find the total cost if one drink costs $3.

Answers

Answer:

4×3=12 total cost for the drinks

12.75 + 12= $24.75 total cost for the pizza and drinks combined

18. Question Category: Writing Linear Functions and Equations
Select the correct answer.
What is the equation for a line that passes through the points (5,-3) and (-10,15)?
6
y =
52 – 3
y =
6
2 + 3
5
6
--
Oy= -
- 3
Oy=-=+3

Answers

Answer:

15-(-3)/(-10)-5

12/-15

3/5

y = 3/5x + b

15 = 3/5(-10) + b

15 = -6 + b

15 + 6 = b

b = 19

y = 3/5x + 19

choose the graph that represents the linear equation y = 2x + 1

Answers

Answer:

The third option is the answer.

Step-by-step explanation:

In the formula y = mx + b, using the equation given,

m = 2, which means that the line goes up 2 units and right 1 unit.b = 1, which means that the y-intercept, or where the line touches the y-axis, is 1.

Answer:

the 3rd option

Step-by-step explanation:

In the formula y = tx + b, using the equation given,

t = 2, which means that the line goes up 2 units and right 1 unit.

b = 1, which means that the y-intercept, or where the line touches the y-axis, is 1.

what is the slope of line segment 7 ?

——PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((———

Answers

Answer:

The slope is 0 because it is a straight line

Step-by-step explanation:

Answer:

undefined.

Step-by-step explanation:

You could be really formal and use the slope formula

The y values are both the same -- 4.

The x values are 3.5 and 6.5

Therefore  the slope is (6.5 - 3.5) / (4  -  4)

The denominator is 0

The slope is undefined because 3/0 is not very well behaved.

A horizontal line always gives an undefined amount.

Please answer these series of questions! I will give high points and brainliest!

A. Reduce 3/51 to its simplest terms

B. Solve 7 divided by 3 (in fractions!)

C. 19 divided by 3 (fractions)

D. Reduce 50/80 to simplest terms

E. Reduce 9/14 to simplest terms

F. Reduce 36/54 to simplest terms

G. Solve 55 divided by 12 (fractions)

H. Reduce 9/153 to simplest terms

That’s all! ( please answer correct my life is depending on it, my mom will literally beat me up )

Answers

Answer:

A: 1/17 or decimal form: 0.058

B: 7/3 or mixed #: 2 1/3

C: 19/3 or mixed #:  6 1/3

D: 5/8

E: 9/14

F:2/3

G: 55/12 or mixed #: 4 7/12

H: 1/17

Step-by-step explanation:

10 -9 x 5 + 6 x ( -2 ) evaluate

Answers

Answer:

-47

Step-by-step explanation:

10 -9 x 5 + 6 x ( -2 )

10-45+6 x -2

10-45-12

-35-12

-47

Here are 2 functions function x——>x3——>-2——->y

Answers

What are you trying to ask?

I might be able to answer the question correctly if you'd be more specific about the question.

Which equation is true for the value b= 10?
O A.
2(b + 4) = 16
O B.
2(b + 2) = 40
O C.
3(b- 2) = 24
OD
2(8 + b) = 42
OE.
3(b - 4) = 20

Answers

The answer to the question is D

Answer: C. 3(b-2)=24

Step-by-step explanation: See since b equals ten and by the rules of P.E.M.D.A.S the parenthesis/brackets comes first so 10-2 equals 8 and three times 8 is 24 therefore the answer is 24

what the slope of(-7,-5) (5,-17) ​

Answers

Answer:

-1

Step-by-step explanation:

Answer:

y = -1x

Step-by-step explanation:

Find the difference,

(-7,-5) (5,-17) ​

12, -12

12/-12

reduce,

1/-1

-1x

Ace Carlos

What is this math please help ASAP

Answers

Answer:

A) A line

Step-by-step explanation:

Notice that:

x-y=4

-y=4-x

y=-4+x

y=x-4

The equation y=mx+b produces a line, so A) a line would be correct

Answer: is a line

Step-by-step explanation:

because  does it have to be a line from a line

Which equation is a point slope form equation for line AB? y−6=−2(x+2) y−2=−2(x+2) y−2=−2(x+6) y−2=2(x+2) A graph with a line running through point A, with coordinates (-2, 6), and point B, with coordinates (2, -2)

Answers

Answer:

y-6=-2(x+2)

Step-by-step explanation:

A truck is carrying 102 bushels of sweet potatoes​, 101 bushels of tangerines​, and 103 bushels of spaghetti squash. What is the total weight of the​ crops?

Answers

Answer:

306

Step-by-step explanation:

Answer:

there are 305 bushels all together on the back of the truck

Step-by-step explanation:

I cannot give you the poundage of the bushels all together because you never said how much the bushels weighed

math 6th grade
Suppose an artist is working on a painting. On Monday, he painted 1/2 of it. On Tuesday, he completed another 1/3 of the painting. What percent of the painting has yet to be done? Round your answer to the nearest whole percent.

Answers

Answer:

17%

Step-by-step explanation:

1/2+1/3=5/6,so 1/6 left. That is 16.66666666666667 or 17%..

Hope this helps plz hit the crown :D

What are the roots of the polynomial equation XP-7x= 6x-12? Use a graphing calculator and a system of equations.
-6,6
4, 1,3
0 -3,-1,4
o 1,3

Answers

Answer: option B

Step-by-step explanation:

-4, 1, 3

The roots of the polynomial equation x³ - 7x = 6x - 12 is given by the values x = -4 , 1 , 3

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

x³ - 7x = 6x - 12   be equation (1)

Now , it can be represented as 2 equations of the form

A = x³ - 7x   be equation (2)

And , B = 6x - 12    be equation (3)

On plotting the graphs of the two equations , we get

The point of intersection of the equations is at P ( -4 , -36 ) , Q ( 1 , -6 ) and R ( 3 , 6 )

Therefore , the x coordinates of the points are x = -4 , 1 , 3

Hence , the roots of the polynomial is x = -4 , 1 , 3

To learn more about polynomial equations click :

https://brainly.com/question/13199883

#SPJ7

Three friends grow groups of sunflowers.
Some think that Anna’s flowers are the tallest because the mean height of her flowers is the greatest.
Others think Anna’s flowers are the shortest because the median height of her flowers is the least.

The plots show the heights for each friend’s flowers.

Which is the most likely plot for Anna’s flowers?

Answers

Step-by-step explanation:

es la numero     3

Answer:

Option 3 is the most common plot for Anna’s flowers

I'm lost at this point, if you can help me I'll give you 10 points..

Answers

Answer:

So all the possible solutions are:

[tex]\bold{204.4~and~217.6.}[/tex]

Solution Steps:

First you need to solve the real inequality to understand how to find the rest of the possible equations.

Subtract 13.2 from both sides:

[tex]13.2-13.2=[/tex] Cancels Out[tex]217.6-13.2=204.4[/tex]

So now we know the real answer, but now we must find all the possible solutions.

(Means anything greater than or equal to 217.6 when you plug it into x + 13.2 ≥ 217.6.)

Numbers that are greater than 378:

  1.)  [tex]204.4+13.2=217.6[/tex] ≥ [tex]217.6[/tex]  (True)

  2.)  [tex]217.6+13.2=230.8[/tex] ≥ [tex]217.6[/tex]  (True)

  3.)  [tex]204.3+13.2=217.5[/tex] ≥ [tex]217.6[/tex]  (False)

  4.)  [tex]0+13.2=13.2[/tex] ≥ [tex]217.6[/tex]  (False)

  5.)  [tex]13.2+13.2=26.4[/tex] ≥ [tex]217.6[/tex]  (False)

  6.)  [tex]200.4+13.2=213.6[/tex] ≥ [tex]217.6[/tex]  (False)

  7.)  [tex]-200+13.2=-186.8[/tex] ≥ [tex]217.6[/tex]  (False)

  8.)  [tex]13.2+13.2=26.4[/tex] ≥ [tex]217.6[/tex] (False)

Now put all the numbers together to form the code.

(Could either be the numbers on the side of the table or the accumulation of all the numbers in possible solutions.)

Code:

[tex]2044,2176[/tex] or [tex]1,2[/tex]

______________________________

 [tex]\bold{Hope~this~helps!}\\\bold{If~you~need~help~with~anything~else,~feel~free~to~ask!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]

AVA HEART RATE IS 65 beats per minute. If Avas heart beat 604,800 times, how many full days would have elapsed

Answers

Answer:

520 full days.

Step-by-step explanation:

Since I'm not that smart I looked up how many minutes are in a day and got a total of 1440 minutes in a day. Then I took the amount of heart beats and divided it by 1440 so we know how many full days. This is what the equation would look like: 748,800/1440.

I hope this helps:)

A company makes a profit of $1.38 million. This is $2.54 million more than last year. Write and solve an equation to find the profit p (in millions of dollars) last year. An equation is =1.38.

Answers

Answer: Required equation : 1.38 = p +2.54

Last year profit = $ -1.16 million or we can say loss =$ 1.15 million

Step-by-step explanation:

Given :  A company makes a profit of $1.38 million. This is $2.54 million more than last year.

Profit this year = 2.54 + Profit in last year

Let p = profit (in millions of dollars) last year.

Then, 1.38 = p +2.54   , is the required equation.

⇒ p = 1.38-2.54

⇒ p= -1.16, which is loss because of negative sign.

Hence, last year profit = $ -1.16 million or we can say loss =$ 1.15 million

Answer: The profit from 2021 = $ -1.16 Million ($1.16 Million loss)

Step-by-step explanation:

Profit for 2022 = $ 1.38 Million

Profit for 2021 = Profit for 2022 - $ 2.54 Million

Algebraic equation:

p2021 = p2022 -$ 2.54 Million

p2021 = $ 1.38 Million - $ 2.54 Million

p2021 = $ -1.16 Million

Find the distance between points p (-2,6) and q (4,-8)

Answers

Answer: 2√58

the distance between points p (-2,6) and q (4,-8) is [tex]\sqrt{(4-(-2))^{2}+(-8-6)^{2} } =\sqrt{6^{2} +(-14)^{2} }=2\sqrt{58}[/tex]

Step-by-step explanation:

Can someone show me how do I do this please?

Answers

Answer:

the awnser is c

Step-by-step explanation:

A- 100:1 would mean it is a 10000% markup

B- 1:100 lower than b so eliminate

C- 2:1 So a is double the amount of b so it's 100%

D- 1:2 B is 100% of a so it's flipped, not what question is asking for

So process of elimination shows that C is the correct awnser

5x + 260 = -8x + 650 I got 75 but it was wrong

Answers

-260

then

-5x

-13x+390

-390

/-13

=

Answer:

x=30

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Please help meh im so bad at this stuff lol

Answers

Answer:

40 Baskets

Step-by-step explanation:

4 baskets = 1/2 hour

? baskets = 5 hours

This means, 8 baskets = 1 hour

8 x 5 = 40

Therefore,

40 baskets = 5 hours

Answer:

40/1 baskets

Step-by-step explanation:

I WILL GIVE YOU BRAINLIEST Simplify the expression using the distributive property.
4(3x + 2)
A. 7x + 8
B.12x + 2
C. 7x + 6
D.12x + 8

SHOW YOUR WORK PLZSSSSSSS

Answers

Answer is

D





Like the other person said

Write the equation of the line fully simplified slope-intercept form

Answers

Answer:

y=mx+b

Step-by-step explanation:

Answer:

y = (5/2)x - 5

Step-by-step explanation:

SLOPE:

The slope is rise over run, and in this case (thanks to the graph), we can do the [difference of y] / [difference of x] pretty easily. This is 5 / 2

Y-INTERCEPT:

Y-intercept is simple: where the line touches the y-axis. This happens at y = -5.

Therefore, the equation y = (5/2)x - 5

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Comparing health insurance policies. Use Worksheet 9.1. Lexi Thomas, a recent college graduate, has decided to accept a job offer from a nonprofit organization. Shell earn $44,000 a year but will receive no employee health benefits. Lexi estimates that her monthly living expenses will be about $2,000 a month, including rent, food, transportation, and clothing. She has no health problems and expects to remain in good health in the near future.Using the Internet or other resources, gather information about three health insurance policies that Lexi could purchase on her own. Include at least one HMO. Use Worksheet 9.1 to compare the policies features. Should Lexi buy health insurance? Why or why not? Assuming that she does decide to purchase health insurance, which of the three policies would you recommend and why? please help 8x -4 - 6x + 9 pepper jackie has 7.5 bags of much to cover Hal owns a printing company. Last Christmas, he charged $8 for a set of 25 greeting cards and $14 for a set of 50. a. Find two ordered pairs that represent the situation. (8,25) (14,50) 6.Ocean water contains a mixture of salt & woter. It would be classified as? I WILL MARK BRAINLIST Choose the following ratios as a fraction: 3 out of 4 games won (2 are correct)6/1040/102/5012/30 slope = 3/4 , goes through the point (0, 6) Two less than three-fourths of a number is, at most, negative seventeen. what is the range of values for the number? Your car is initially at rest when you hit that gas and the car begins to accelerate. The forward force of the car is 5630 N while the resisting force total 330 N. The car has a mass of 1313 kg and the acceleration lasts for 2.6s. What is the final speed of the car and how much ground does it cover during this acceleration? In Sarojini Naidu's "The Bird of Time," the speaker describes time as a bird that observes events and emotions that happen throughout life. Which two lines describe happiness that can be found in events that are new beginnings in life?O Bird of Time on your fruitful boughWhat are the songs you sing? . . .Song of the glory and gladness of life,Of poignant sorrow and passionate strife,And the lilting joy of the spring;Of hope that sows for the years unborn,And faith that dreams of a tarrying morn,The fragrant peace of the twilight's breath,And the mystic silence that men call death.O Bird of Time, say where did you learnThe changing measures you sing? . . .In blowing forests and breaking tides,In the happy laughter of new-made brides,And the nests of the new-born spring;In the dawn that thrills to a mother's prayer,And the night that shelters a heart's despair,In the sigh of pity, the sob of hate,And the pride of a soul that has conquered fate. What distinguishes a ghetto from an ethnic enclave in the current usage of each term? (2 points) aRacial composition bLocation cImpoverished conditions dPopulation eGovernment designation What average net force is required to accelerate a car with a mass of 1200 kg from rest to 27.0 m/s2 in 10.0 s ?1620 N4360 N444 N11800 N3240 N Describe a personal or professional obstacle Bradbury faced: two examples of any artworks produced during the different time periods and art movement Write the function rule for the function shown below reflected in the given axis.f(x)x; -axisLet g(x) be the reflection of f(x) in the -axis. What is the function rule for g(x)?g(x)nothing Can you think of other songs that have been used to promote social change? A greenhouse owner wants to test the effectiveness of a new fertilizer on African violets. She has 60 violet seedlings that were grown for 8 weeks. She wants to test the new fertilizer on 10 of the plants, and decides to use a random number table to select a simple random sample. Which of the following correctly labels the population of violets? PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:(( 106-07-004-SSTgroamount ofACTIVITYRESULTSBased on information in the Article, which of these happened after Dr. Ochoa logged nearly 1,000hours in orbit?physics (na science toand energyon each othelectricity,HintShe watched as Dr. Sally Ride became the first American woman to go into space.researchcareful studand reportsomethingBShe worked as an engineer at NASA.ExtrasShe received NASA's Distinguished Service Medal.PuzzleShe gave a short concert, which turned into a funny physics lesson in a weightlessCitationsDenvironment.RubricTake NcSubmitAs you readOchoa's stordeterminatio