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
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
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
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:
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
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
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%
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
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.
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.
write 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
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
Rewrite as a
simplified fraction.
_
0.1 = ?
Answers
Answer:
1/10
Step-by-step
solve quickly please
Answers
Answer:
44
Step-by-step explanation:
3x-5+x+1=180 [linear pair]
4x-4=180
4x=176
x=44
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.
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
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
Solve the equation, and check your solution.
-3/5n = -9
Answers
Answer:
-15 = n
Step-by-step explanation:
What is the quotient of -20 and (-5)?
Answers
4
Step-by-step explanation:
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.
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
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.
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
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
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 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 :)
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
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°
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!!! =DFind 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