In the figure below, o || k. Find the values of x and z.
Х
(sz – 27)
?
78°
Ix
z = 0
Explanation
Check
Answers
Answer:
x = 102
z = 21
Step-by-step explanation:
x and 78 are same side alternate exterior angles, so they are supplementary.
x + 78 = 180
x = 102
5z - 27 and x are a linear pair, so they are supplementary.
5z - 27 + x = 180
5z - 27 + 102 = 180
5z = 105
z = 21
Related Questions
The tables show the cost of different numbers of t-shirts ordered at two different stores, Store P and Store Q: Store P Number of T-shirts Cost (in $) 3 $18 6 $36 9 $54 Store Q Number of T-shirts Cost (in $) 2 $10 4 $20 8 $40 Which of these explains which store has a better buy? (5 points) Store Q, because the ratio of the number to the cost is 1:6 in Store P and 1:5 in Store Q Store Q, because the ratio of the number to the cost is 6:1 in Store P and 5:1 in Store Q Store P, because the ratio of the number to the cost is 3:21 in Store P and 2:12 in Store Q Store P, because the ratio of the number to the cost is 21:3 in Store P and 12:2 in Store Q
Answers
Answer:
store p
number
of t-shirts cost (in $)
3 $18
6 $36
9 $54
store q
number
of t-shirts cost (in $)
2 $10
4 $20
8 $40
Store q, because the ratio of the number to the cost is 1: 6 in store p and 1: 5 in store q.
Rahul and Swapnil brought an equal amount of money for shopping. Rahul spend rupees 95 and Swapnil spend rupees 350. after that Swapnil had 4/7 of what Rahul had left. how much money did Rahul have left after shopping.
A. 27
B. 36
C. 45
D. 54
Answers
Given:
Rahul and Swapnil brought an equal amount of money for shopping.
Rahul spend rupees 95 and Swapnil spend rupees 350.
After that Swapnil had [tex]\dfrac{4}{7}[/tex] of what Rahul had left.
To find:
How much money did Rahul have left after shopping.
Solution:
Let x be the amount brought by both Rahul and Swapnil.
Rahul spend rupees 95 and Swapnil spend rupees 350. So, the remaining amounts are:
Rahul's remaining amount = [tex]x-95[/tex]
Swapnil's remaining amount = [tex]x-350[/tex]
After that Swapnil had [tex]\dfrac{4}{7}[/tex] of what Rahul had left.
[tex](x-350)=\dfrac{4}{7}\times (x-95)[/tex]
[tex]7(x-350)=4(x-95)[/tex]
[tex]7x-2450=4x-380[/tex]
Isolate the variable terms.
[tex]7x-4x=2450-380[/tex]
[tex]3x=2070[/tex]
[tex]x=\dfrac{2070}{3}[/tex]
[tex]x=690[/tex]
Now, the remaining amount of Rahul is:
[tex]x-95=690-95[/tex]
[tex]x-95=595[/tex]
Therefore, the correct option is B.
A culture of bacteria has an initial population of 41000 bacteria and doubles every 5 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 dt , where P_tP t is the population after hours, P_0P 0 is the initial population, is the time in hours and is the doubling time, what is the population of bacteria in the culture after 14 hours, ?
Answers
Answer:
285541
Step-by-step explanation:
According To The Question,
Given, A culture of bacteria has an initial population of 41000 bacteria and doubles in every 5 hours & [tex]P_{t} = P_{i}*(2)^{\frac{d}{t} }[/tex] .Now, for the population of bacteria in the culture after 14 hours is [tex]P_{t}[/tex] . We have Initial Population([tex]P_{i}[/tex])=41000 , d=14 & t=5 .
Put These Value in Above Formula, We get
[tex]P_{t} = 41000*(2)^{\frac{14}{5} }[/tex]
[tex]P_{t} = 41000*2^{2.8}[/tex]
[tex]P_{t} = 41000*(6.9644)[/tex]
[tex]P_{t} =[/tex] 285540.5847 ≈ 285541
What fraction of 40 kg is 16 kg?
Write your answer to part a as a percentage.
Answers
Answer:
I hope it helps u..........
La moda es el valor de la variable que mas se repite, es decir , el valor que tiene mayor frecuencia. Calcula la moda de las puntuaciones que obtuvo cada deportista.
Answers
Answer:
Moda de Pablo: 4
Moda de Claudio: No tiene.
Step-by-step explanation:
Después de una pequeña búsqueda online, encuentre las tablas para este problema, las cuales se pueden observar abajo.
La moda es el valor que más se repite, para el caso de Pablo, podemos ver que el valor 14 se repite dos veces (de hecho es el único que se repite). Entonces es el valor que más se repite. Entonces la moda de Pablo es 14.
Para el caso de Claudio podemos ver que ningún valor se repite, entonces los datos de Claudio no tienen una moda.
12 more than the quotient of a number and eight
Answers
Answer:
X÷8+12 is how this would look
Answer:
x/8 + 12
Step-by-step explanation:
Answer the questions relating to the bar graph in the image.
Answers
Answer:
1. 20 degrees celsius
2. 24 degrees celsius
3. decreased
4. 6am
5. 10am
Step-by-step explanation:
The probability of the Windermere Monster existing is 0.1.
What is the probability of it not existing? Can anyone answer it please
Answers
because 1 - 0.1 = 0.9
The greater of two numbers is 3 times the smaller.
Their sum is 44. Find the numbers.
Answers
Answer:
11 and 33
Step-by-step explanation:
The greater of two numbers is 3 times the smaller.
Let the numbers be
n and 3n
sum is 44
n + 3n = 44
4n = 44
Divide both sides by 4
n = 11
3n = 3 * 11
3n = 33
Answer:
smaller number is 11
bigger number is 33.
Step-by-step explanation:
Lets make the smaller number be a, the bigger number 3a since its 3 times a's value
the sum of a and 3a is 44
so we write
a+3a = 44
combine like terms
a+3a = 4a
4a = 44
divide both sides by 4
a = 11.
Now we know the smaller number is equal to 11, but we are not done just yet.
We have to find the value of the bigger number by plugging in 11 into our equation
11+3*11 = 44
11 + 33 = 44
which means the bigger number is 33
Find the y-component of this
vector:
12.0 m
73.3°
Remember, angles are measured from
the +X axis.
y-component (m)
Answers
Answer:
The y-component is 11.49 m.
Step-by-step explanation:
Given that,
Vector = 12 m
Angle, θ = 73.3°
We need to find the y-component of this vector.
It can be calculated as follows :
[tex]v_y=v\sin\theta\\\\v_y=12\times \sin(73.3)\\\\=11.49\ m[/tex]
So, the y-component is 11.49 m.
The ice cream cone has a radius of 3 cm and a height of 10 cm. If the scoop of ice cream is a sphere with radius of 3.5 cm, will all of the ice cream fit inside the cone?
Answers
Answer:
No, ice cream cannot fits inside the cone.
Step-by-step explanation:
radius of cone, r = 3 cm
height of cone, h = 10 cm
radius of ice cream sphere, R = 33.5 cm
The volume of the cone is
[tex]V =\frac {1}{3}\times \pi\times r^{2}\times h\\\\V = \frac{1}{3}\times 3.14\times 3\times 3\times 10\\\\V =94.2cc[/tex]
Volume of ice cream
[tex]V' =\frac{4}{3}\pi\times r^{3}\\\\V'= \frac{4}{3}\times 3.14\times 3.5^{3}\\\\V' = 179.5cc[/tex]
As the volume of ice cream is more than the volume of cone, so it cannot fit into the cone.
Identify each expression with a sum of x2 + 3x +1.
Answers
Answer:
There are no like terms.
Step-by-step explanation:
100%
Ramón and Merissa are driving to New York City after college. The first 300 miles they spend $12.50 on gas.
At this rate, if they drive 960 miles, how much will the gas cost for the entire trip?
Answers
Answer:
the gas cost for the entire trip is $77
Step-by-step explanation:
Given that
For the first 300 miles, it spend $12.50 on gas
We need to find out the gas cost for the overall trip at the time when it drives 960 miles
So, it should be
= 960 miles ÷ $12.50
= $76.80
= $77
Hence, the gas cost for the entire trip is $77
The triangles below are similar. In each triangle there is a 53 degrees angle and a right angle. What is the measure of the third angle in each triangle?
Triangle J K L. Angle K is 90 degrees and angle L is 53 degrees. Triangle Y X Z. Angle Y is 53 degrees and angle X is 90 degrees.
37º
47º
53º
127º
Answers
Answer:
37
Step-by-step explanation:
they gave us 53 and there is the 90 degree angle so you just add that and find the missing since itll equal 180
x-y = 3
work out the value of 5(x-y)
Answers
=======================================
Work Shown:
x-y = 3
5(x-y) = 5*3 .... multiply both sides by 5
5(x-y) = 15
Find the y- intercept of the rational function.
Answer choices:
A.) (0,-2)
B.) (-2,0)
C.) (0,6)
D.) (6,0)
Answers
Answer:
A. (0,-2)
Step-by-step explanation:
Meaning of a rational number is a number that can be expressed as the quotient or fraction
p/q of two integers, a numerator p and a non-zero denominator q.
Answer:
(A). (0,-2)
Step-by-step explanation:
y-intercept means the points in which the funtion crosses the y-axis. According to the graph you can see that at (0,-2) it crosses the axis and therefore (0,-2) is the answer.
If this helps you, please give brainliest!
need help with this Q&A 3
Answers
Answer:
the second option
yes, because they are similar triangles
Step-by-step explanation:
the scaling factor is 3
3×3 = 9
3×7 = 21
so, the ratios of the sides remain the same, and the 90 degree angle remains the same. therefore, just one triangle is larger than the other, but the relative attributes and even the orientation are the same, so yes, since we don't know the absolute coordinates of the corners, indeed, the Hypotenuse of both triangles could be on the same line.
Kim buys a carpet for a room. The carpet measures 6 metres by 6 metres. Kim pays £390 for the carpet. The room measures 5 metres by 5 metres. Work out the cost of the carpet she does not use.
Answers
Area = Length x width
Area of carpet = 6 x 6 = 36 square meters
Cost of carpet per square meter = total cost / area
Cost per square meter: 390 / 36 = £10.83
Area of room = 5 x 5 = 25 square meters.
Area of rug not used = area of room subtracted from area of carpet:
36 - 25 = 11 square meters
Cost of the carpet not used = area of carpet not used x cost per square meter
11 x 10.83 = 119.13
ANSWER: £119.13
Answer:
Area = Length x width
Area of carpet = 6 x 6 = 36 square meters
Cost of carpet per square meter = total cost / area
Cost per square meter: 390 / 36 = £10.83
Area of room = 5 x 5 = 25 square meters.
Area of rug not used = area of room subtracted from area of carpet:
36 - 25 = 11 square meters
Cost of the carpet not used = area of carpet not used x cost per square meter
11 x 10.83 = 119.13
ANSWER: £119.13
Step-by-step explanation:
Una escalera de 10 metros de longitud esta apoyada sobre la pared. El pie de la escalera dista 6 metros de la pared. ¿ que altura alcanza la escalera sobre la pared?
Answers
Answer:
The height reached by the ladder is 8 m.
Step-by-step explanation:
A 10 meter long ladder is leaning against the wall. The foot of the ladder is 6 meters from the wall. What height reaches the ladder on the wall?
Length of ladder, L = 10 m
foot of ladder, D = 6 m
Let the height reached is H.
[tex]L^2 = D^2 + H^2\\\\10^2 = 6^2 + H^2\\\\100 - 36 = H^2\\\\H = 8 m[/tex]
Jessica filled the birdbath in her yard with 4 liters of water. How many milliliters of water did she put in the birdbath?
Answers
Answer:
4,000 milliliters
Step-by-step explanation:
There are 1,000 millililters in one liter. 4*1,000=4,000.
Answer:
4,000 mL
Step-by-step explanation:
there are 1,000 mL in one liter so there are 4,000 mL in four liters
Ten times a number a added to three times a second number b divided by a third number c.
Answers
Answer:
10a+3b÷c/3
Step-by-step explanation:
let the first number be a
second be b
third be c
10×a +3×b ÷c÷3
10a+3b÷c/3
=10a+3b÷c/3
i need help asap
i need to know how to show work pls help
Answers
Step-by-step explanation:
add all the freqency up which is 100
you have to use a customize spinner and put in all the colors that are all on the side...
Spin 150 times ( 250-100= 150) and put tally marks on the sheet of tallys.
Then count all you red and see.
Hope all that makes sense..
Question 9 of 10 Based only on the given information, it is guaranteed that AB I CD. A D . Given: AABC ZDAC = ZDBC O A. True O B. False
Answers
Answer:
False
Step-by-step explanation:
False
There is not enough information to guarantee the lines are perpendicular.
No, we can not say that AB and CD are perpendicular from the information given.
What are perpendicular line?Two geometric objects are perpendicular if their intersection forms right angles at the point of intersection called a foot.
The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂.
Given that a triangle ABC, divided into two triangles by a line DC, also
angle DAC and DBC are congruent,
From the given information we can not conclude any relation between both triangles,
Hence, we can not say that AB ⊥ CD
Learn more about perpendicular line click;
https://brainly.com/question/29268451
#SPJ7
hat term can you add to StartFraction 5 over 6 EndFraction x minus 4 to make it equivalent to One-half x minus 4?
Negative one-third x
Negative one-third
One-half x
One-half
Answers
Answer:
[tex]\dfrac{-x}{3}[/tex]should be added to the given equation.
Step-by-step explanation:
Let a is added to the given equation.
According to the given condition,
[tex]\dfrac{5x}{6}-4+a=\dfrac{x}{2}-4\\\\a=\dfrac{x}{2}-4+4-\dfrac{5x}{6}\\\\a=\dfrac{x}{2}-\dfrac{5x}{6}\\\\a=\dfrac{3x-5x}{6}\\\\a=\dfrac{-2x}{6}\\\\a=\dfrac{-x}{3}[/tex]
So, [tex]\dfrac{-x}{3}[/tex]should be added to the given equation.
what is 35,000,000+600,000+400+40+2 in standard form?
Answers
Step-by-step explanation:
here is the answer to thy question
Answer:
35,600,442
Step-by-step explanation:
If you line up the ones place then you can easily see. After you line it up, you can just add like normal.
35,000,000
00,600,000
00,000,400
00,000,040
+ 00,000,002
-----------------
35,600,442
9 What is the volume of the cone below? * 267.95 in3 33.49 in3 133.97 in3
Answers
Answer:
Volume of cone = 33.49 inch³
Step-by-step explanation:
Missing information;
Height of cone = 8 inch
Diameter of cone = 4 inch
Find:
Volume of cone
Computation:
Radius of cone = Diameter of cone / 2
Radius of cone = 4 / 2
Radius of cone = 2 inch
Volume of cone = [1/3][πr²h]
Volume of cone = [1/3][(3.14)(2)²8]
Volume of cone = [1/3][(3.14)(4)8]
Volume of cone = [1/3][(3.14)(32)]
Volume of cone = [1/3][100.48]
Volume of cone = 33.49 inch³
Which number best represents the slope of the graphed line?
Answers
Answer:
[tex] \frac{1}{2} [/tex]
Step-by-step explanation:
refer to solution in the picture
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Answers
Answer:
The car price decreased by $2,268.
The price of the car now is $33,732.
Step-by-step explanation:
Multiply 0.063 (6.3% in decimal form) by $36,000 to get $2,268, which is how much the price decreased.
Then subtract 2,268 from 36,000 to get $33,73, which is the price of the car after the decrease.
Answer:
Step-by-step explanation:
6.3 : 100 = x : 36000
x = (36000 * 6.3)/100 = $2268 (decrease in price)
Price of new model: 36000 - 2268 = $33732
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 60 large boxes and 65 small boxes. If the truck is carrying a total of 4975 pounds in boxes, how much does each type of box weigh? X Large box: pounds Small box: ( pounds 5 ?
Answers
Answer:
small = 35 pounds
large = 45 pounds
Step-by-step explanation:
Let x = large boxes
y = small boxes
two equations can be derived from the question
x + y = 80 equation 1
60x + 65y = 4975 equation 2
multiply equation 1 by 60
60x +60y = 4800 equation 3
subtract equation 2 from 3
5y = 175
y = 35
substitute for y in equation 1
x + 35 = 80
x = 80 - 35
x = 45
rational number between - 4/7 and 8/4
Answers
Answer:
Hdujshshshddhdh
Step-by-step explanation: