Answers
Answer:
[tex] x = 18 [/tex]
[tex] y = 7.5 [/tex]
[tex] z = 7 [/tex]
Step-by-step explanation:
✍️[tex] (8x - 7) + (3x - 11) = 180 [/tex] (consecutive interior angles are supplementary)
Solve for x
[tex] 8x - 7 + 3x - 11 = 180 [/tex]
Add like terms
[tex] 11x - 18 = 180 [/tex]
Add 18 to both sides
[tex] 11x = 180 + 18 [/tex]
[tex] 11x = 198 [/tex]
Divide both sides by 11
✅[tex] x = 18 [/tex]
✍️[tex] (2y + 23) = (4y + 8) [/tex] (alternate interior angles are congruent)
Solve for y
[tex] 2y + 23 = 4y + 8 [/tex]
Collect like terms
[tex] 23 - 8 = 4y - 2y [/tex]
[tex] 15 = 2y [/tex]
Divide both sides by 2
✅y = 7.5
✍️[tex] (2y + 23) + (3z^2 - 5) = 180 [/tex] (linear pair angles)
Plug in the value of y
[tex] (2(7.5) + 23) + (3z^2 - 5) = 180 [/tex]
[tex] (15 + 23) + (3z^2 - 5) = 180 [/tex]
[tex] 38 + 3z^2 - 5 = 180 [/tex]
Add like terms
[tex] 3z^2 + 33 = 180 [/tex]
Subtract 33 from each side
[tex] 3z^2 = 180 - 33 [/tex]
[tex] 3z^2 = 147 [/tex]
Divide both sides by 3
[tex] z^2 = \frac{147}{3} [/tex]
[tex] z^2 = 49 [/tex]
Square both sides
[tex] \sqrt{z^2} = \sqrt{49} [/tex]
[tex] z = 7 [/tex]
Related Questions
Which hourly interval had the least rate of change?
Answers
Answer:
hour 3 to hour 4
Step-by-step explanation:
that is where the slope is the least steep
Guillermo bought 5 bags of candy that cost $10 each. Each bag of candy came with 35 pieces of candy inside. How many total pieces of candy did Guillermo purchase?
Answers
Answer:
175
Step-by-step explanation:
multiply the number of pieces by the number of bags he bought
Answer:
175
Step-by-step explanation:
5x35=175
find the quotient 10^12/10^3
plz answer asap
Answers
Answer:
B
10^9
Step-by-step explanation:
DUE 10:00 PM HELP ASAP. When Sarah left your house this morning her cell phone was 80% charged and then it started to lose 8% charge for each hour there after write an equation for B in terms of t representing the charge remaining in series battery as percentage t hours after Sara left her house
Answers
Answer:
b=80-8t
Step-by-step explanation:
"b" represents the charge remaining
"t" represents the number of hrs that have passed.
"80" is the reference we will be subtracting the hours from.
"8" is the percentage per hour we will be subtracting
therefore, the equation b=80-8t would solve for the remaining battery after "t" number of hours.
Hope this helps
A circle is inscribed with 5 lines. The center of the circle is labeled point O. Four lines extend from point O. One connects to point W on the edge of the circle. The second line extends past the circle edge through point X on the edge. The third extends past the circle edge through point Z. The fourth extends past the circle edge through point Y. A line connects points W and X. The angle created by ray OX and ray OZ is angle . The two rays that create YOX are ray OX and ray . The center of the circle is point .
Answers
Answer:
XOZ
OY
O
Step-by-step explanation:
just took it on edge
What is the missing angle? *
PLS I NEED HELP DUE IN 10 MINS
Answers
Answer:
80
Step-by-step explanation:
a triangle is 180 degrees in all 60+40 is 100 so by that you can tell its 80
1) Nyla had 10 songs in a playlist on her phone. The playlist had two of her favorite artists, Beyonce
and Jennifer Lopez. How many of the songs from each artist could she have?
a) Create an equation to represent this situation. Explain what each of the variables represent.
Equation:
b) List at least five solutions to the equation above. How do you know that these are the
solutions to the equation you created?
Answers
Answer:
a) 10 = X + Y
b) X = 1, Y = 9
X = 2, Y = 8
X = 3, Y = 7
X = 4, Y = 6
X = 5, Y = 5
i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.
Step-by-step explanation:
The given parameters are;
The number of songs in the playlist on her phone = 10
The number of authors of the songs on her playlist = 2
The equation that represent the situation is given as follows;
X + Y = 10
Where X represent the number of Beyonce's song on her playlist and Y represent the number of Jennifer Lopez's song on her playlist
b) 5 possible solutions are;
X = 1, Y = 9
X + Y = 1 + 9 = 10
Which gives 1 Beyonce's and 9 Jennifer Lopez's songs
X = 2, Y = 8
X + Y = 2 + 8 = 10
Which gives 2 Beyonce's and 8 Jennifer Lopez's songs
X = 3, Y = 7
X + Y = 3 + 7 = 10
Which gives 3 Beyonce's and 7 Jennifer Lopez's songs
X = 4, Y = 6
X + Y = 4 + 6 = 10
Which gives 4 Beyonce's and 6 Jennifer Lopez's songs
X = 5, Y = 5
X + Y = 5 + 5 = 10
Which gives 5 Beyonce's and 5 Jennifer Lopez's songs
i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.
Write a rule for the translation of ABC to A' B' C'
Answers
Answer:
(x-2,y-4)
Step-by-step explanation:
Here, we want to calculate the rule for the translation
From the question, we can see that the new image was just formed as a movement of the old image by some particular units
The x-axis was move sideways while the y-axis was moved further down
The number of units is thus;
Y from 12 to 8
A movement of -4
For the x-axis
we have a movement of two units toward the left
So the rule is;
(x,y) to (x-2, y-4)
help me I only have until 8:50 to finish this please help me
Answers
1a) f(4) = 2
1b) x = 1 and x = 3
2a) g(3) = 55
2b) If you work 5 hours... you could expect to earn $85 (according to the function)
Multiply and simplify the following complex numbers:
(3 – 4i) · (–3+ 2i)
Answers
Answer:
The answer is -1 + 18
Horario is solving the equation -3/4 + 2/5 = 7/20x -1/2
Answers
Answer:
x = 3/7
Step-by-step explanation:
X= 3/7
What is the range of the function on the graph?
LO
4
all the real numbers
O all the real numbers greater than or equal to 0
O all the real numbers greater than or equal to 2
O all the real numbers greater than or equal to -3
21
2 1
2 3 4 5 x
-5 -4 -3 -2 -11
-2
-3
-4
-5
Answers
the answer is all real numbers
The range of the function on the graph are all the real number greater than or equal to -3.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given the graph of a function.
A function f(x) has the domain equal to the all values of x that the function is defined for.
Range of the function is the set of all the values of the function for the x in the domain.
Here, the function values are from infinity to -3 and then again mover from -3 to infinity.
So the range consists of all the real numbers from -3.
Hence the range of the function is the set of all real numbers from -3.
Learn more about Range here :
https://brainly.com/question/21027387
#SPJ7
Estimate. Then divide. 54184 divided by 26
Answers
If we just divide 54184 by 26 we’d get 2084.
Please do clarify. I can’t help without context.
Have a great day.
Answer:
1,923.076923076923
Step-by-step explanation:
54,184 (look to the right; the number is lower than five so round down)
50,000/26=1,923.076923076923 (or 1923)
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene's car had 6.4 gallons in the 14-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.90 per gallon. How much did Irene spend on gas?
Answers
Answer:
$24.96
Step-by-step explanation:
Total number of gallons irede had in his tank = 6.4gallons
Price per gallon is $3.90
To get the cost of 6.4gallons;
If 1 gallon = $3.90
6.4gallons = $x
Cross multiply
1 * x = 3.90 * 6.4
x = 24.96
Hence Irene spent $24.96 on gas
Factoring the following Difference of Two Perfect Squares.
X^2– 16
Answers
hi
x²-16 = (x+4) (x-4)
What is the slope of the line that passes through the points (9,5) and (21,1)? Write your answer in simplest form.
Answers
Answer:The slope of the line would be 1/3 because if you put those two coordinates in the table then you can see the the difference between 5 and 1 is 4 and the difference between 9 and 21 is 12 then do 4 divided by 12 and you get 1/3 for your slope.
Step-by-step explanation: I know math just trust me i am a sraight A student.
Tavares is saving for a $350 cell phone.He already has $60 and plans to save an additional $20 per week?How many weeks will Tavares have to save before he can buy the cell phone ?
Answers
Answer:
15 weeks
Step-by-step explanation:
15 times 20 = 300
300+60=360
15 Weeks
Step-by-step explanation:
You earn 20 every week, multiply that by 15 and you get 300. You already have 60 So add 300+60 and you get 360, so 15 weeks
A sandwich is 5 1/2 feet long and divided into 1/2 foot pieces. How many pieces of sandwich are there?
Answers
Answer:
11
Step-by-step explanation:
Answer:
11 sandwich pieces
Step-by-step explanation:
Dennis is getting balloons for his grandfather's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dennis wants to get 69 balloons, how many yards of string will he need?
Answers
Answer:
207
Step-by-step explanation:
9ft=3yrds
3x69=207
What is the percent of change from 24 to 30?
A.
20% decrease
B.
25% decrease
C.
20% increase
D.
25% increase
Answers
Answer:
D
Step-by-step explanation:
24 X
---- = ---- than cross multiply and solve for X
30 100
Answer:
I am not sure I this one but The answer is efither B or D
Try going with the answer D if its not the answer its my fault. I am sorry if You get this wrong.
What equation represents a line that passes through (2,-1/2) and has a slope of 3.
Answers
You can find this by graphing.
Plssss helpppp ASAPP
will mark BRAINLIEST!!!
Answers
Answer:
4th and 5th option
Step-by-step explanation:
you can easily add eqn 1 and 2 to get rid of the y term for 4th option and get rid of x term by addition as well for the 5th option
this is a topic on simultaneous equation. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting the notes for this topic and some other tips :)
Answer:
the last two
Step-by-step explanation:
Choose the linear equation written in slope-intercept
form that matches each graph.
Answers
Answer:
D
Step-by-step explanation:
y-intercept or "b":
the line touches the y-axis at -4
slope:
the line rises 1, runs 1 every time
equation:
the y-intercept of -4 combined with the slope of 1/1 is the equivalent of
y=1x/1-4 OR in a more simplified format: D, y = x - 4
Can someone simplify8x + 5x please
Answers
Answer:
13x
because you would comibne like terms, so you add the 8 and 5.
Answer:
x=0
Step-by-step explanation:
Simplifying
8x + 5x = 0
Combine like terms: 8x + 5x = 13x
13x = 0
Solving
13x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '13'.
x = 0
Simplifying
x = 0
What is the solution to the equation above
Answers
Answer:
A = 3/4
Step-by-step explanation:
alternately could equal 0.75
Bamboo Plant A is 1.2 meters tall and growing at a rate of 0.45 meter per day. Bamboo Plant B is 0.85 meter tall and growing 0.5 meter per day. After how many days will Plant B be taller than Plant A?
Answers
Answer:
7 days
Step-by-step explanation:
Bamboo plant A = 1.2 + 0.45d
Bamboo plant B = 0.85 + 0.5d
Where,
d = number of days
Equate the two growth
Bamboo plant A = Bamboo plant B
1.2 + 0.45d = 0.85 + 0.5d
Collect like terms
1.2 - 0.85 = 0.5d - 0.45d
0.35 = 0.05d
Divide both sides by 0.05
d = 0.35 / 0.05
d = 7 days
Plant B be taller than Plant A after 7 days
Roman civilization began in 509 BC and ended in 476 A.D Roman civilization last show working
Answers
Answer:
Roman civilization lasted for 985 years.
Step-by-step explanation:
Given that Roman civilization began in 509 BC and ended in 476 A.
All we have to do is to subtract -579 from 476.
i.e.
[tex]476 - (-509)[/tex]
[tex]=476+509[/tex]
[tex]=985[/tex] years
Thus, Roman civilization lasted for 985 years.
PLS
SOLVE !!!!
I WILL MARK THE BRAINLIEST
Answers
Answer:
A is two; B is nine; C is one
Good Luck!
a) C has to be either one or zero (but I'm assuming the solution you're wanting is when C=1). This is because A+B + Whatever is carried can only be a number 0-19, meaning only a 1 can be carried to the third column.
b) if C is 1, then in the ones place, B+A must = 11
c) if the carried 1 + a + b = 10 + a, then a can be substituted and we find that b = 9; and a =2
Evaluate -8 - 21.
-10
-16
16
10
Answers
Answer:
Evaluate -8 - 21.
-10
-16
16
10
Determine the measures of angles C and D.
Answers
Answer:
c = 40 and d = 76
Step-by-step explanation:
this is going to take me a long time to explain but here we go
so you need to do 180 - 116 and get 64.
then create a equation that is like this 7y + 6 + 4y + 64 = 180
when you solve it you get y = 10
then plug in 10 in for y in 4y. and you get 40 for c
do the same for d and you will get 76
pls mark me brainleist because i didnt waster your time.