K
(
28) cm
V
1 cm
M
Han
56x-5
1.5 cm
W
Given that figure JKLMNWWXYZ. Find the value of y
Answers
Answer:
[tex] \boxed{\sf y = 6 \ cm} [/tex]
[tex] \boxed{\sf x = 25 \degree} [/tex]
Step-by-step explanation:
It is given that JKLMN [tex] \sim [/tex] VWXYZ
So, from this we can say that:
JK [tex] \sim [/tex] VW & ∠LMN [tex] \sim [/tex] ∠XYZ
i.e.
(2y - 8) cm = 4 cm & 4x° = 5(x - 5)°
Solving for y:
⇒2y - 8 = 4
Adding 8 to both sides:
⇒2y - 8 + 8 = 4 + 8
-8 + 8 = 0:
⇒2y = 4 + 8
4 + 8 = 12:
⇒2y = 12
Dividing both sides by 2:
⇒[tex] \sf \dfrac{2y}{2} = \dfrac{12}{2} [/tex]
[tex] \sf \dfrac{2}{2} = 1: [/tex]
⇒y = [tex] \sf \dfrac{12}{2} [/tex]
[tex] \sf \dfrac{12}{2} = 6: [/tex]
⇒y = 6 cm
Solving for x:
⇒4x° = 5(x - 5)°
Expanding right hand ride expression:
⇒4x° = 5x° - 25°
Adding 25° to both sides:
⇒4x° + 25° = 5x° - 25° + 25°
25° - 25° = 0°:
⇒4x° + 25° = 5x°
⇒5x° = 4x° + 25°
Substracting 4x° from both sides:
⇒5x° - 4x° = 4x° - 4x° + 25°
4x° - 4x° = 0°:
⇒5x° - 4x° = 25°
5x° - 4x° = x°:
⇒x° = 25°
Related Questions
Overnight, the temperature in Mayville was – 4°F. But by the following afternoon, the temperature had risen 11°F. What was the temperature in Mayville that afternoon? To solve the problem, Rose added – 4+11 and came up with an answer of 7°F. Is Rose correct? Why or why not?
Answers
Answer:
She is correct. If you add 11 degrees to -4 degrees, you get 7 degrees.
Step-by-step explanation:
-4 + 11 = 7
solve quickly please
Answers
Answer:
44
Step-by-step explanation:
3x-5+x+1=180 [linear pair]
4x-4=180
4x=176
x=44
Rewrite as a
simplified fraction.
_
0.1 = ?
Answers
Answer:
1/10
Step-by-step
The box plot is based on the?
mean
median
mode
range
Answers
PLEASE GIVE BRAINLIST
By reading this ithink the answer is B=median
A boxplot is a standardized way of displaying the dataset based on a five-number summary: the minimum, the maximum, the sample median, and the first and third quartiles. Minimum : the lowest data point excluding any outliers.
hope this helped
WILL GIVE BRAINLIEST!!!!!!!!! SOLVE FOR X
Answers
Answer:
15 i think good luck
Step-by-step explanation:
Answer:
15°
Step-by-step explanation:
m<B: Supplementary: 180°-110°=70°
Triangles have an inner angle of 180°. Using this, you can then do:
180°-70°-(30°+20°)=60°
3x+x=60°
4x=60°
x=15°
If a line contains the point (0,-1) and has a slope of 2 what point is on the line A.(2,1) B.(1,1) C.(0,1)
Answers
Answer: B. (1,1)
Step-by-step explanation: If you find slope with the points (0,-1) and (1,1) you will get a slope of 2.
the formula you can use is y2-y1/x2-x1
substitute the values with the 2 points i mentioned
1-(-1)=2
1-0=1
divide 2/1
and you get 2
So B, (1,1) would be your answer.
Gertrude has 71.502 ounces of butter. How many ounces of butter does she have, rounded to the nearest hundredth?
Answers
Answer:
71.500
Step-by-step explanation:
502 is closer to 500 than 600.
Answer:
71.50
Step-by-step explanation:
This is because 2 is not up to 5, so it can't be turned into 1 and be added to 0.
5. Tinh Tran is a physical therapist. He earns $49,830 a year and is
single with no dependents. The state income tax rate is 5% of
taxable income. What amount is withheld from his biweekly
pay for state income tax?
Answers
Answer:
2491.50$ oooooooooooooooooooooooo
The amount withheld from his biweekly pay for state income tax is $2491.5.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
We have been given that the physical therapist earns $49,830 a year and is single with no dependents.
To determine the amount withheld from his biweekly pay for state income tax.
Since the state income tax rate is 5% of taxable income.
So the amount withheld from his biweekly pay for state income tax as:
⇒ 5 % of 49,830
⇒ (5/100)49,830
⇒ (0.05)49,830
⇒ 2491.50
Therefore, the amount withheld from his biweekly pay for state income tax is $2491.5.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ2
ITS BEEN AN HOUR LS ILL GIVE BRAINLITST
Answers
Answer:
38.81%
Step-by-step explanation:
Circle area = п r ²
п = 3.14
r = 4 cm
Circle area = 3.14 * (4cm)²
Circle area = 3.14* 16cm²
Circle area = 50.24cm²
Triangle area = (heigth*width)/2
heigth = 2.5 + 4 = 6.5cm
width = 3 + 3 = 6cm
triangle area = (6.5cm*6cm)/2
triangle area = 39cm²/2
triangle area = 19.5cm²
then:
the probability that a randonly select point whitin the circle falls in the shaded area is:
19.5/50.24 = 0.3881 (aprox)
0.3881*100 = 38.81%
your order 4 fish tacos and a hamburger. The cost of the hamburger is $2.50. Your total bill before tax is $14.30. Write and solve an equation to find the cost a fish sandwich
Answers
Answer:
$2.95
Step-by-step explanation:
Step 1:
( $14.30 - $2.50 ) ÷ 4
Step 2:
$11.80 ÷ 4
Answer:
$2.95
Hope This Helps :)
fish tacos?
Step-by-step explanation:
4x-2.50=14.30
14.30-2.50=11.80
11.80/4= $2.95
each taco is 2.95
check your answer
$2.95*4= $11.80
11.80+2.50= 14.30
Seven more than the quotient of a number and 2
(Algebraic expression)
Answers
Answer:
(x ÷ 2) + 7
Step-by-step explanation:
A quotient is the answer to a division problem...
So.... Let's say "a number" is x
(x ÷ 2) + 7 = Seven more than the quotient of a number and 2
That should be the answer!
Please mark Brainliest!!! =Dwrite a two column-proof
Answers
Answer:
1. number each step
2. start with the given informatiom
3. statements with the same reason can be combined into one step
4. draw a picture and mark it with the given information
5. you must have a reason for every statement
6. the order of the statements in the proof is not always fixed , but make sure the order makes logical sense
If I add 8.0g of sugar to a cup of tea, and have 2 cups of tea in the morning, how much sugar will I have consumed from drinking tea?
Answers
Answer:
1.6g
Step-by-step explanation:
1 cup of tea= 0.8g
2 cups of tea= 0.8g×2= 1.6g
Solve the equation, and check your solution.
-3/5n = -9
Answers
Answer:
-15 = n
Step-by-step explanation:
A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position?**
Answers
The new position of submarine is 550 feet below the sea level.
Given:
A submarine is located at 800 feet below sea level (i.e) if x is considered as the sea level, then it is located at x - 800. The submarine ascends 250 feet, (i.e) its new position is increased by 250 feet from its previous position, then its new position becomes 800 - 250 = 550 feet. Hence the new position of submarine is located at 550 feet below sea level, x.
Answer:
650
Step-by-step explanation:
800-250=650
It's like taking a negative number and adding a positive number to it
if
f(x)=5x+7
and
g(x)=-2x-4
find
f(g(x))=___x+___
Answers
Step-by-step explanation:
F(g(x)) = -10x-13
First blank: -10
Second blank: -13
20 POINTS
Rewrite the following equation in the center-radius form of the equation of a circle.
x2 + 16x + y2 + 18y = -120
A.
(x + 8)2 + (y + 10)2 = 25
B.
(x + 10)2 + (y + 8)2 = 25
C.
(x - 9)2 + (y - 8)2 = 25
D.
(x + 8)2 + (y + 9)2 = 25
Answers
Answer:
Substitute (x+4)2−16 ( x + 4 ) 2 - 16 for x2+8x x 2 + 8 x in the equation x2+y2+8x−6y=24 x 2 + y 2 + 8 x - 6 y = 24 . (x+4)2−16+y2−6y=24 ( x + 4 ) 2 - 16 + y 2 ...
Step-by-step explanation:
Answer:
your answer would be C
Step-by-step explanation:
What is 1.4 as a fraction in simplest form explain the steps!
Answers
Answer:
7/5
Step-by-step explanation:
What is 1.4 in fraction form? 7/5 is the fraction form of 1.4. 1.4 as a Fraction in simplest form to convert 1.4 to a fraction and simplify to the lowest form.
------------
14/10 = 1.4
7 is half of 14
5 is half of 10
The simplest form of given number is [tex]\frac{7}{5} [/tex].
Given number is, 1.4
Converted into fraction, [tex]=\frac{14}{10} [/tex]
It is observed that, 2 is common in both numerator and denominator.
[tex]\frac{14}{10} =\frac{2*7}{2*5}=\frac{7}{5} [/tex]
Hence, The simplest form of given number is [tex]\frac{7}{5} [/tex].
Learn more:
https://brainly.com/question/9841932
Boxes of tinned cat food are delivered to a shop. There are 28 boxes and in each box there are 16 tins how much is there all together ??
Answers
Answer:
448
Step-by-step explanation:
You just need to multiply 28 by 16
can someone help me answer this please
Answers
Answer:
x^2 -14x+49
Step-by-step explanation:
(x-7) ^2
(x-7)(x-7)
FOIL
first ( x*x) = x^2
outer -7x
inner -7x
last -7*-7 = 49
Add these together
x^2 -7x-7x+49
Combine like terms
x^2 -14x+49
Describe a sequence of transformations that shows that Polygon A is congruent to Polygon B.
Answers
Answer:
The sequence of transformations that shows that Polygon A is congruent to Polygon B is given as follows;
1) A translation of 8 blocks to the right followed by 2) a translation of 2 blocks down and 3) a rotation of 90 degrees anticlockwise
Step-by-step explanation:
Given that the dimensions and shape of Polygon A and Polygon B are equal, the sequence of transformations that will show their congruency should include a number of rigid transformations, mainly translations and rotations.
If b is the midpoint of line AC, and AC = 8x-20, find BC.
Answers
The Definition Of a Midpoint says that is B is the
midpoint of segment AC, then segment AB ≅ AC.
Since segment AB ≅ segment BC, we can setup
the equation 2(3x - 1) = 8x - 20 and we can solve from here.
Start by distributing the 3 through the parenthses on the left side.
So we get 6x - 2 = 8x - 20.
Now subtract 8x from both sides to get -2x - 2 = -20.
Now add 2 to both sides and we have -2x = -18.
Finally, dividing both sides by -2, we find that x = 9.
If x = 9, segment BC must be 3(9) - 1 or 27 - 1 which is 26.
Find the value of x. [Picture below]
Answers
Answer:
56
Step-by-step explanation:
Answer:
56 degrees.
Step-by-step explanation:
a circle is 360 degrees, so 1/2=180 degrees.
all you have to do is take the other degrees, minus them from 180 and you have your answer
What the unit rate for this? “9 inches of snow in 3 hous”
Answers
Answer:
3 inches per hour
Step-by-step explanation:
divide the number on the y axis (i'm assuming it's inches of snow) by the number on the x axis (i'm assuming its hours)
by doing this you will get 3 inches per hour
Find the lowest common multiple (LCM) of 30 and 42
Answers
Answer:
2-30,42
3-15,21
5-5,7
7-1,7
-1,1
LCM of 30 and 42 is 210
Answer:
210
Step-by-step explanation:
30*42 by HCF of 30,42
1260 by 6 =210
When a snack bar opens, the cash register contains at least 50 dollars in $1 and $5 bills. Which of these inequalities represents this situation, where x is the number of $1 bills and y is the number of $5 bills?
Answers
Answer:x + 5y is greater than or equal too $50
Step-by-step explanation:
If x is equal to the amount of $1 then there is no need for a coefficient. Being that y is represented as $5 there needs to be a coefficient of because it’s five dollars times however many you have. Then it is greater than or equal to $50 because the problem states there is at least $50 in the register.
7 + 8p - 27
terms ?
coefficients ?
Answers
Answer:
Terms: 7, 8p, -27
Coefficients: 8
Step-by-step explanation:
1. A term is a constant, a variable, or a product of a constant and variable. Therefore, 7, 8p, and -27 are terms.
2. A coefficient is a number that is in front of a variable like 8 in front of p.
Use order of Operations to simplify the following: 4² - (28÷7) + 111
Answers
Answer:
123
Step-by-step explanation:
If the answer is wrong please let me know so I can fix it!!! Have a Great Day :)
Answer:
123
Step-by-step explanation:
16-4+111
12+111
=123
Solve for x.
[tex] - 36 + 7x = 76 - x[/tex]
x = [?]
Answers
Answer:
Hey there!
-36+7x=76-x
-36+8x=76
112=8x
x=14
Let me know if this helps :)
What is the quotient of -20 and (-5)?
Answers
4
Step-by-step explanation: