Examine the figure below.
B
(4x-16)
6756
(5x+7)
с
A
D
Determine which of the following angle measures are correct. Select all that apply.
OmZBAC = 72°
O
m2BCD = 68°
Om ACB = 112°
m2ABC = 68°
mzBCD=108°

Answers

Answer 1

*see attachment for diagram

Answer:

✔️m<BAC = 72°

✔️m<BCD = 108°

Step-by-step explanation:

Given:

m<ABC = (4x - 16)°

m<ACB = (5x + 7)°

Find the numerical value of m<ABC, m<ACB, m<BAC, and m<BCD.

First we need to determine the value of x.

The ∆ given is an isosceles triangle with two equal sides, therefore, the angles opposite the two equal sides would also be equal.

Therefore:

(4x - 16)° + 2(5x + 7)° = 180° (sum of ∆)

Solve for x

4x - 16 + 10x + 14 = 180

Add like terms

14x - 2 = 180

Add 2 to both sides

14x = 182

Divide both sides by 14

x = 13

Find the measure of each angle by plugging in the value of x where necessary:

✔️m<ABC = (4x - 16)° = 4(13) - 16

m<ABC = 36°

✔️m<ACB = (5x + 7)° = 5(13) + 7

m<ACB = 72°

✔️m<BAC = m<ACB (both are base angles of the isosceles ∆, so they are equal)

Therefore,

m<BAC = 72°

✔️m<BCD = m<ABC + m<ACB (exterior angle theorem of a triangle)

m<BCD = 36 + 72 (Substitution)

m<BCD = 108°

Therefore, the angle measures that are correct are:

✔️m<BAC = 72°

✔️m<BCD = 108°

Examine The Figure Below.B(4x-16)6756(5x+7)ADDetermine Which Of The Following Angle Measures Are Correct.

Related Questions

Find the area of the parallelogram. pick one of these
30 sq cm
40 sq cm
12 sq cm
17 sq cm

Answers

Answer:

The area of the parallelogram is 40.

Step-by-step explanation:

You multiply the base by the height:

4*10= 40

40 sq
Explanation: I took the test

A new health drink has 130% of the recommended daily allowance (RDA) for this vitamin. The RDA for this vitamin is 45 mg. How many milligrams of the vitamin are in the drink?

Answers

Answer: 58.5 mg

Step-by-step explanation:

Given: Recommended daily allowance(RDA) for a certain vitamin = 45 mg

To find : Quantity of this vitamin in drink

Amount of vitamin new drink has = 130% of  (RDA)

= (130% of 45) mg

=  (1.3 x 45  mg  [ To convert percentage to decimal , we divide a number by 100]

=  58.5 mg

Therefore, Quantity of vitamin in drink = 58.5 mg

Find the simple interest on a $3,219.00 principal, deposited for six years at a rate of 1.51%.

Answers

Answer:

s.i = P. T. R /100

= 3219 . 6 . 1.51 /100

= 29,164.14 / 100

= 291.6414

can someone help me ​

Answers

Answer:

Pretty sure that you have it right, B

Step-by-step explanation:

HI AGAIN BLUE DINO PERSON

What is the easiest way to solve negative fractions plus positive fractions?

Answers

Answer:

Step-by-step explanation:

and I'll explain why so when when we're

looking into combining fractions

positive negative fractions the main

important thing we need to make sure we

have is like denominators

all right common dinar common

denominator the easiest the easiest way

to find a common denominator is to

multiply the denominators right that's

the easiest way to go ahead and find one

just multiply three times eight which is

24 that's gonna give you your comments

and on there does that make sense so

make sense multiply the denominator but

that's not always going to be the least

common denominator so an easy way to

always check to find the least common

denominator is choose the largest

denominator which would be 8 and then

kind of list out the multiples so is and

sitting determine it does 3 divide into

any of those multiples before we get to

24 so just 3 to buy an 8 no so 8 is not

the least common denominator then we go

to 16 just 3 divided into 16 No

24 yes it does so actually end up 3

times 8 is gonna equal 24 and it's okay

lays knowing if you always want to

multiply your denominators you can

always do that but that just because

you're multiplying you're not always

gonna get the least common denominator

and the problem with that is you're

gonna have to simplify your fraction a

little bit more at the end all right but

it is also a way to always get a common

denominator so my lcd is 24 and what I

like you guys to do is always like write

that down so you can always kind of

remember it and basically when we have

an LCD of 24 what we want to be able to

do is say alright what do I need to

multiply now both of my denominators by

to get to 24 well to get 3 forget about

the negative sign per second for do get

3 we need to multiply by 8 right but

there's a problem if you have a fraction

and you only multiply the denominator by

it you've now changed the fraction think

about 1/2 if you have 1/2 and you

multiply the denominator by 3 you now

have 1/6 right is 1/6 equal to 1/2

no so we need to multiply the numerator

and the denominator by 8 think about

again 1/2 times 3 over 3 equals 3 over 6

is 3 over 6 equivalent to 1/2 yes so

when you're multiplying your fraction we

want to make sure we

keep equivalent fractions for 3/8 we

need to multiply by five over five and

then when I multiply fractions I just

simply multiply across numerator times

numerator denominator times denominator

therefore I get negative 8 over 24 plus

I don't know 3 right thank you I don't

know I was like off in my own world I

guess there you go

sorry so therefore now I have negative 8

24 plus 9 over 24 and now when we need

to add combined fractions we need to

combine fractions as long as they have

common denominators we just add or

subtract our numerators so just think

about negative you owe eight dollars you

have nine dollars in your pocket

therefore you're gonna have one dollar

left right and you keep the denominator

the same question okay letting it

internalize

Rewrite the equation C = 2nr to show the expression that can be used to find the value of r.

Answers

The process is:

C = 2nr

2nr = c

r (2n) = c

[tex]r = \frac{c}{2n} [/tex]

That's the answer☝️☝️☝️☝️

or maybe this one

r = 2n + c

sorry, I'm unsure, it has been too long since I studied that...

Answer:

C = 2nr

you divide by 2n both sides

that means C/2n = 2nr/2n

after that you simplify then it will be C/2n = r

r = C/2n

bag of sweets £1.50 per bag, buy 3 get 1 free how many sweets can you buy for £9

Answers

Answer: 8

if you're talking about how many bags of sweets you can BUY, as in without counting the ones you got for free, it's 6. if you're talking how much you GOT, it's 8.

Step-by-step explanation:  you can multiply 1.5 times an unknown number to get nine. the unknown number would be the number of bag of sweets you get without the "buy 3 get 1 free" thing. You can reverse the equation to get 9 divided by 1.5 equals 6.

you can then divide 6 by three, which is 2- meaning you got two free bags of sweets. 6 plus 2 is 8.

Answer:

8 I believe

Step-by-step explanation:

1.50 x 3 = 4.50 so for 4 bags you need 4.50

1.50 x 6 = 9 but you can't forget about the buy 3 get 1 deal

you bought 6 which is two times 3 so would get two free

6+2= 8

I apologize if I didn't explain it enough or got it wrong

A grocery store sells a bag of 3 oranges for $1.71. How much does one orange cost?

Answers

Answer: 57 cents each

Answer:

57 cents

Step-by-step explanation:

divide the amount of money by the amount of oranges to find the amount each of them are. so if each of them are 57 then 1 is 57.

Solve the system of equations by graphing. y= -2x + 1

Answers

Answer:

y= -2x + 1

Step-by-step explanation:

Please HELP ME Ill GIVE BRAINLIEST!!!

A kennel in Bloomington offers daily boarding for dogs. The table below has the cost for different intervals. Which equation best represents this functional relationship?

Answers

Step-by-step explanation:

The patter is multiplying buy 20 after each number.

the total cost of tickets to the school play is shown in the table. Write an equation to find the total cost of any number of tickets. Describe the relationship in words. Use the equation to find the cost of 15 tickets.

Answers

follow my instagram and dm me if u need help with school im helping everyone and btw u need to show the table

Michael is riding his tricycle, he has a head start of 5 meters and is pedaling at 2 meters every 3 seconds. What is the equation of the line? What is the independent and dependent variables?

Answers

Answer:

The correct answer is

y = 2 ÷ 3x + 5

where,

x = independent variable

y = dependent variable

Step-by-step explanation:

According to the given scenario, the equation of the line, independent and the dependent variable is as follows:

y = mx + b

Since the head is started with 5 meters and the pedaling at 2 meters for every 3 seconds i.e. 2 ÷ 3

So the equation line is

y = 2 ÷ 3x + 5

where,

x = independent variable

y = dependent variable

helpppppp me plssss
uh

Answers

Answer:

Step-by-step explanation:

-n+1

Step-by-step explanation:

(n+2)-(2n+1)

=n+2-2n-1

=n-2n+2-1

=-n+1

PLSSS HELP An amusement park has two types of season passes. Plan 1 charges a one-time fee of $175.00 for admission plus $8.00 every trip for parking.
Plan 2 charges a one-time fee of $125.00 for parking plus $13.00 every trip for admission. For what number of trips is the cost of these plans
the same?

Answers

Answer:

Dude..... I have no idea what the answer is..... but i give you my good luck to pass math class without going through 50 mental breakdowns.

Step-by-step explanation:

math is disgusting

hiking at a constant rate, fred covers 6miles in 4 hours. Predict how far he can hike in 10hours.

Answers

Answer:

15 miles

Step-by-step explanation:

First you divide 6 by 4 then multiply the result by 10

15 miles is what he walked in 10 hours

2 를
of
2
Angie is saving money for a new bike. She has
3
the amount of money she needs for the bike.
She has $120 saved. How much does the bike cost?
If she saves $10 a week, how many more weeks will it
take for her to be able to buy the bike?

Answers

Answer:

she has $40

Step-by-step explanation:

Sam is driving to San Antonio. He has already driven 110 miles in 2 hours. At
this rate, how many miles will he travel in 30 minutes?

Answers

Answer:

27.5 miles in a half hour

Step-by-step explanation:

Divide 110 by 2 then 55 divided by 2 to get 27.5

Brainliest?

A bag contains green tokens and black tokens. There are 24 green tokens in the bag. The ratio of green tokens to black tokens is 8 to 5. Find the number of black tokens in the bag.

Can I have the answer please?

Answers

Answer:

There are 15 Black tokens.

Step-by-step explanation:

If the ratio is 8:5 we divide 24 by 8 to get 3. We then do 5 x 3 for the black tokens and get 15.

The number of black tokens in the bag are 15.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

In the bag, there are 24 green tokens in the bag.

And, The ratio of green tokens to black tokens is 8 to 5.

Now,

There are 24 green tokens in the bag.

And, The ratio of green tokens to black tokens is 8 to 5.

So, Number of green tokens = 8x

And,  Number of black tokens = 5x

Hence, We can formulate;

⇒ 8x = 24

⇒ x = 3

Thus, Number of black tokens = 5x

                                               = 5 × 3

                                               = 15

Therefore, The number of black tokens in the bag are 15.

Learn more about the ratio visit:

https://brainly.com/question/25927869

#SPJ2

What is the value of x?
Find the unknown angle.

Answers

I think it’s 43. 148-105=43

Keyla traveled 2155 kilometers by car to visit some relatives. If 1 km is approximately 0.62 miles, then what is the number of miles Keyla traveled to the nearest unit? 1,336 miles 7,471 miles 2,877 miles 3,470 miles

Answers

Answer:

1336miles.

Step-by-step explanation:

From the question we are told that;

1km represents 0.62miles

1km = 0.62miles

We are to express 2155kilometers in miles.

2155km = x miles

Find x:

Divide both equations;

1/2155 = 0.62/x

Cross multiply;

1 * x = 2155 * 0.62

x = 1,336.1miles

Hence the correct option is 1336miles.

Which is equivalent to -9.4c + 6 + c – 5.9?
A. -8.4c – 0.1
B. -8.4c + 0.1
C. 10.4c + 0.1
D. -10.4c + 0.1

Answers

Answer:

B

Step-by-step explanation:

reorganize to combine like terms

-9.4c+c   or   c-9.4c  (they are the same)  = -8.4c

6-5.9=0.1

-8.4c+0.1

Answer:

c

Step-by-step explanation:

brcause i have did it

y = -2x+3 write in standard form

Answers

Answer:

y + 2x - 3 = 0

Step-by-step explanation:

You should learn the topic.

Answer:

2x+y-3=0

Step-by-step explanation:

The standard form is a representation of equations that start from the variable term towards the constant term, generally leaving the RHS empty.

Here,

[tex]y=-2x+3\\y+2x=3\\y+2x-3=0\\2x+y-3=0[/tex]

Anyone know this pls help me

Answers

The correct answer is -4, I hope this helped:)

The temperature was –5°C at 6:00 a.M. It increased 3 4 34 of a degree every hour for 6 hours. The temperature then increased 1 1 2 112 degrees every hour for 5 hours. What was the temperature at 5:00 p.M.?

Answers

Answer:

The temperature was;

6 °C

Step-by-step explanation:

Here, we want to know the temperature at 5 pm

For the first 6 hours, we have an increase of 3/4 degree per hour

so the temperature increase in the first 6 hours will be;

6 * 3/4 = 4.5 degrees

Then we had an increase of 1 1/2 degrees per hour for 5 hours

The increase after these 5 hours will be;

3/2 * 5 = 15/2 = 7.5 degrees

Total increase is 7.5 + 4.5 = 11 degrees

We subtract the initial -5 from here

So the present temperature will be;

-5 degree + 11 degree = 6 degrees celsius

Which system of inequalities describes the graph?

Answers

Answer:

It Would be C (the third one)

Step-by-step explanation:

Please mark me Brainlyest PLZ

15 POINTS AND BRAINLIEST! ! CAN SOMONE PLEASE ANSWER THIS QUESTION !!

Answers

Answer/Step-by-step explanation:

Shari's equation, 288x - 4y = -192, was stated in the standard form.

Thus, she thinks -192 was the y-intercept because:

She thought that the [constant term] is always the y-intercept. She forgot to [write the equation in slope-intercept form].

Let's find the correct y-intercept (b), by first rewriting the equation, 288x - 4y = -192, to get the equation in slope form, y = mx + b.

Thus:

288x - 4y = -192

-4y = -288x - 192 (subtraction property of equality)

y = -288x/-4 - 192/-4

y = 72x + 48

Thus, the y-intercept = b = 48

What is the median?
122235

Answers

Hey there!

When you hear / see the word “median” think of it asking “what’s number is in the middle?” ; so basically it the number in middle

Your numbers: 1, 2, 2, 2, 3, 5

Your middle / median number seems to be 2 based on the information you have in this particular equation

Answer: 2 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. a. What would be the width and length of a scale drawing of Elena's bedroom?

Answers

Answer: Length = 10cm

Width = 6cm

Step-by-step explanation:

First and foremost, we should note that

1 meter = 100 cm.

Therefore,

Length = 5m = 500 cm

Breadth = 3m = 300 cm.

Since Elena wants to make a scale drawing of 1 to 50, then

Length = 500 cm / 50 = 10 cm

Breadth = 300 cm / 50 = 6 cm.

Therefore, the length of the scale drawing will be 10 cm and the width of the scale drawing will be 6cm.

A 45-foot water slide casts a 30-foot shadow.
Find the length of the shadow of a 4-foot tall child
standing nearby.

Answers

Answer:

2.666666666666666666666666 ( repeating decimal )

Step-by-step explanation:

It says a 45 foot slide casts a 30 foot shadow.

We notice that 30 is exactly 2 / 3 of 45.

A easier way to notice that is like 30 + (half of 30 which is 15)

so 30 + 15 is 45 which is exactly the height of the water slide.

The we take the 4 foot child. It is 4 foot.

Then we do 4 times 2 / 3 which we got earlier.

which will be 2.66666666666666666666666666666666666

repeating decimal don't know how to write it here

Answer:

x = 5.75ft/2.3ft

Step-by-Step:

34ft/13 [tex]\frac{3}{5}[/tex]   =  5.75ft/x

34x = 13 3/5 · 5.75

34x ÷ 34 = 78.2 ÷ 34

34ft/13 3/5ft = 5.75ft/2.3ft

Evaluate expression using the order of operations. 17 − 5 ⋅ 4 ÷ 2

Answers

Answer:

7

Step-by-step explanation:

5x4=20

20/2=10

17-10=7

Answer:

your answer is 7

Step-by-step explanation:

17-5×4÷2

P- parenthesis

E- Exponents

M- Multiplication

D- Divide

A- Add

S- Subtract

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I've been learnin'Grabbin' my keepsakesLeavin' my burdensWell I brought a few with me I'm not perfectLookin' at the view like this concerns mePickin' up the cues right? I'm quite nervousHate it when I lose sight life gets blurryAnd things might hurt meIt's prolly gonna be a long journey but hey!It's worth it thoughCold world out there kids grab your coatsBeen a minute I know now I'm back to roamLooking for the antidoteTo crack the codePretty vivid I admit it I'm in classic modeDon't need pity given to me, but I can't condoneTalkin' down to me I'mma have to crack your noseFor crackin' jokesI'm lookin' for the map to hopeYou seen it?Been makin a whole lot of changesWrote a song about that you should play itI get scared when I walk on these stagesI look at the crowd and see so many facesYeahThat's when I start to get anxiousThat's when my thoughts can be dangerousThat's when I put on my makeupAnd drown in self-hatred forget what I'm sayin an ...Where the beat go?OhhAin't that somethin'Drums came in you ain't see that comin'Hands on my head can't tell me nothin'Gotta taste of the fame had to pump my stomachThrow it back up like I don't want itWipe my face clean off my vomitOCD tryna push my buttonsI said don't touch itNow y'all done itI can be criticalNever typicalIntricate with every syllableI'm a criminalIntimate but never politicalPretty visualEven if you hate it I make you feel like you're in it thoughYou call me what you wanna but never call me forgettableLeave you deep in thought I could never swim in the kiddy poolWay that I be thinkin' is cinematic it's beautifulMan I don't know if I'm makin' movies or music videos (Videos)The sales can riseDoesn't mean much though when your health declinesSee we've all got somethin' that we've trapped insideThat we try to suffocate you know hoping it diesTry to hold it under waterBut it always survivesThen it comes up out of nowhere like an evil surpriseThen it hovers over you to tell you millions of liesYou don't relate to that, must not be as crazy I amThe point I'm makin is the mind is a powerful placeAnd what you feed it can affect you in a powerful wayIt's pretty cool right? 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Each task takes the same amount of time. 10 a. How long does it take the robot to complete one task? b. How many tasks can the robot complete in one hour?