*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°
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?
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.
Which system of inequalities describes the graph?
Answer:
It Would be C (the third one)
Step-by-step explanation:
Please mark me Brainlyest PLZ
Anyone know this pls help me
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?
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
y = -2x+3 write in standard form
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]
A grocery store sells a bag of 3 oranges for $1.71. How much does one orange cost?
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.
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
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
Find the area of the parallelogram. pick one of these
30 sq cm
40 sq cm
12 sq cm
17 sq cm
Answer:
The area of the parallelogram is 40.
Step-by-step explanation:
You multiply the base by the height:
4*10= 40
Rewrite the equation C = 2nr to show the expression that can be used to find the value of r.
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
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?
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
15 POINTS AND BRAINLIEST! ! CAN SOMONE PLEASE ANSWER THIS QUESTION !!
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
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?
Answer:
she has $40
Step-by-step explanation:
can someone help me
Answer:
Pretty sure that you have it right, B
Step-by-step explanation:
HI AGAIN BLUE DINO PERSON
Solve the system of equations by graphing. y= -2x + 1
Answer:
y= -2x + 1
Step-by-step explanation:
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?
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
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?
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?
helpppppp me plssss
uh
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
Evaluate expression using the order of operations. 17 − 5 ⋅ 4 ÷ 2
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
A 45-foot water slide casts a 30-foot shadow.
Find the length of the shadow of a 4-foot tall child
standing nearby.
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
What is the value of x?
Find the unknown angle.
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?
Step-by-step explanation:
The patter is multiplying buy 20 after each number.
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.?
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
Find the simple interest on a $3,219.00 principal, deposited for six years at a rate of 1.51%.
Answer:
s.i = P. T. R /100
= 3219 . 6 . 1.51 /100
= 29,164.14 / 100
= 291.6414
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?
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
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
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.
bag of sweets £1.50 per bag, buy 3 get 1 free how many sweets can you buy for £9
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
What is the easiest way to solve negative fractions plus positive fractions?
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
What is the median?
122235
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:)
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.
hiking at a constant rate, fred covers 6miles in 4 hours. Predict how far he can hike in 10hours.
Answer:
15 miles
Step-by-step explanation:
First you divide 6 by 4 then multiply the result by 10