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°
7.2 times 1/9 I need help!
Answer:
8/10
Step-by-step explanation:
Step 1:
7 2/10 × 1/9
Step 2:
72/10 × 1/9
Answer:
8/10
Hope This Helps :)
7.2 times 1/9 is 0.8
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.
Given:
7.2 times 1/9
=7.2* 1/9
=72/10* 1/9
=8/10
=0.8
Hence, 7.2 times 1/9 is 0.8
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3(1 + 7r) + 7r <— please help! :)
Answer: 28r+3
Step-by-step explanation:
3(1+7r)+7r
distributive property
3+21r+7r
combine like terms
28r+3
Answer:
4r/7 is the answer 4r over 7
Please help me. 50 point question
Step-by-step explanation:
Hey there!!!!
Given,
Angle r and angle s are supplementary angle.
And angle r = 120°.
Now, we have,
supplementary angle's sum is always 180°.
So, angle r + angle s = 180°.
or, 120°+ angle s = 180°
Therefore the measure of angle s is 60°.
Hope it helps....
Martina drove 792 miles in 11 hours.
At the same rate, how long would it take her to drive 504 miles?
Answer:
7 hours
Step-by-step explanation:
Her rate (speed) is
v = d/t = (792 miles) / (11 hrs) = 72 mph
To drive a distance D = 504 miles, it will take her a time T given by
T = D/v = (504 miles) / (72 mph) = 7 hours
x + 8 = 4
help me to doive this
Answer:
-4
Step-by-step explanation:
thats the answer
Answer:
X= -4
Step-by-step explanation:
X+8=4 this is a one step equation first, you subtract 8 on both sides that gives you
x=-4
thats your answer
Joel reads 3 books each month as part of his book club. After belonging to the book club for 7 months, how many books will Joel have read in all?
Joel reads 21 books in the span of 7 months
Answer:21
Step-by-step explanation:
The equation would be 3x
X being months he was on the book club so x would be 7
3(7)=21
Please help i will mark you five stars and give you 20 points
Answer:
Reflection
Step-by-step explanation:
Solve using standard algorithm 57.03+2.08
Answer:
59.08
Step-by-step explanation:
Please I will mark brainlist list
Based on the patten in the table what is the value of a?
-64
-12
1/16
1/64
I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!
All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson
Answer:
for a rectangle to be called a square with 4 sides must be equal
for rectangle to be called a square its four angles must be equal.
Answer:
all parallel sides are the same lengths
all angles are 90°
Step-by-step explanation:
We know that the square has the definition of an object or plane that has all the four sides of equal length,
And all the angles related to the sides are also same. (all angles are 90°)
Whereas, a rectangle gets defined as the plane figure with four straight sides and the same number of right angles where the two parallel sides become of equal length.
Solve for x.
[tex]3x - 5 = \frac{12 + 4x}{2} [/tex]
x = [?]
Answer:
x= 11
Step-by-step explanation:
[tex]3x - 5 = \frac{12 + 4x}{2} [/tex]
Multiply both sides by 2:
2(3x -5)= 12 +4x
Expand:
2(3x) +2(-5)= 12 +4x
6x -10= 12 +4x
Bring all x terms to 1 side, constant to the other:
6x -4x= 10 +12
2x= 22
Divide by 2 on both sides:
x= 22 ÷2
x= 11
Jennifer is saving money to buy a bike. The bike costs $294. She has $126 saved, and each week she adds
$14 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her
weeks to save for the bike.
Answer:
the answer should be 12 weeks
Step-by-step explanation:
Because, 294-126=168 and 168 divided by 14 is 12
helpp mee pleaseee !
Answer:
Constant of proportionality, [tex]r = \frac{1}{10}[/tex]
what is the answer to -3x+5= -16
Answer: 7
Step-by-step explanation: First you subtract 5 from both sides to single out the -3x. Then you will have -3x = -21. You will then divide both sides by negative three because you want to single out the x. After that, you will have the answer of x = 7
Answer:
x = 7
Step-by-step explanation:
-3x+5=-16
-5 -5
-3x=-21
-3x/3 = -21/-3
x=7
Is 6.56556555 a rational or irrational number
Answer:
yes
Step-by-step explanation:
if it is a terminating decimal(a decimal that ends) it will be rational
Answer:
rational
Step-by-step explanation:
because it is a decimal. idrk i just guessed but im pretty sure im right
Please look at the question and answer
Answer:
no . of items = 10
Position of mean = (n+1)/2
= 11/2 = 5.5th item
In the data 5.5 item is the average of 5th and 6th item
median = (x+2+x+4)/2
or 25= (2x+6)/2
or 50 = 2x +6
0r 2x = 44
x =22
Answer:
X=23
Step-by-step explanation:
11,13,15,19,_,_,30,39,46
The middle number is the first dash which is represented by x+2 which is equal to 25
25-2=23 which is x
Dash 2 which is represented by x+4 is equal to 23+4=27
What is the sum of the arithmetic sequence 3, 9, 15 …, if there are 34 terms?
Lets subtract 3 from each term we get 0,6...
Now we have muplitles of 6
6*0
6*1
Now we can find last number whcich is 6*33=198
now use formula to find sum
3(2x - 4) + (3x + 1) = 5x + 21 -(x +1)
Answer:
x=6.2
Step-by-step explanation:
3(2x - 4) + (3x + 1) = 5x + 21 -(x +1)
6x-12+3x+1=5x+21-x-1
combine like terms:
9x-11=4x+20
move variables to same side by sub 4x and add 11
5x=31
x=6.2
Given: 2x + 3y = 6. When x has a value of zero, the y value is 2.
True
False
Answer:
True
Step-by-step explanation:
2x+3y=6
2(0)+3y=6
0+3y=6
3y=6
y=2
show the work on how to answer -3|x|=-24
Answer:
x=8 x=-8
Step-by-step explanation:
-3|x|=-24
Divide each side by -3
-3|x|/-3=-24/-3
|x|=8
There are 2 solutions a positive and a negative
x=8 x=-8
Find the measure of angle XAZ in the figure below.
Answer:
m∠XAZ = 40°
Step-by-step explanation:
Since ∠YAU, ∠YAZ and ∠XAZ are the angles based at a point on a straight line, and the sum of the all angles on a line is 180°.
Therefore, m∠YAU + m∠YAZ + m∠XAZ = 180°
50° + 90° + m∠XAZ = 180°
m∠XAZ = 180° - 140°
= 40°
Therefore, measure of angle XAZ is 40°.
Solve the inequality
2(4+2x)≥5x+5
x ≤ 3
x ∈ [ 3 ; +oo )
Step-by-step explanation:2(4 + 2x) ≥ 5x + 5
8 + 4x ≥ 5x + 5
8 - 5 ≥ 5x - 4x
3 ≥ x
x ≤ 3
x ∈ [ 3 ; +oo )
5 (n - 14) =2 (n + 14)
Answer:
n= 98/3
Step-by-step explanation:
1. Complete distributive property *5(n-14)* and *2(n+14)*
5n-70=2n+28
2. Subtract 5n from both sides
-70=-3n+28
3. Subtract -70 from both sides
-98=-3n
4. Divide the variable from both sides *-3n*
-98/-3
5. Simplify
98/3
Final Answer:
98/3
Help me with this please
-6(2)divided by (-3)
Answer:
4
Step-by-step explanation:
Following PEMDAS order:
-6*2=-12
-12/-3=4
Answer:
-6(2)(-3)
-3+2
-5
Step-by-step explanation:
Somebody plz answer this correct!!
Grade 4math
(Mark as brainliest if correct)
I mean, it depends how long it will take you to shovel the snow please add more context if I read this wrong below!
(Mark as Brainliest Please)
Step-by-step explanation:
what is the distance between (7, -2) and (3,1) pls help fast
Answer:
it would be 5
Step-by-step explanation:
Stephanie's age is 3 years greater than half of her sister's current age. If her sister is 24 years old, what is Stephanie's age?
Answer: Stephanie is 15
Step-by-step explanation:
because you can do 24 divided by 2 which equals 12 then add three to 12 and you get 15.
you're welcome! plz lmk if i'm wrong XD
Stephanie's age is 3 years greater than half of her sister's current age. If her sister is 24 years old, then Stephanie's age is 15 years.
To find Stephanie's age, we need to follow the given information that her age is 3 years greater than half of her sister's current age.
First, we find half of her sister's age: Half of 24 = 24 / 2 = 12
Next, we add 3 years to half of her sister's age: 12 + 3 = 15
Therefore, Stephanie's age is 15 years.
Age can be used in mathematical equations and word problems to solve for unknowns or to establish relationships between different quantities. For example, age-related math problems might involve scenarios such as Finding someone's age given their birth year and the current year, Calculating the average age of a group of people and Determining the age difference between two individuals based on their birth years.
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what is the answer to -9 x (-9) x (-9)
[tex]\text {Hey! Let's Solve this Problem!}[/tex]
[tex]\text {We Know That: Multiply a Negative to a Negative will Equal a Positive.}[/tex]
[tex]\text {We Also Know: Multiply a Positive to a Negative will Equal a Negative.}[/tex]
[tex]\text {Multiply:}[/tex]
[tex]\text {-9*-9=81}[/tex]
[tex]\text {Multiply:}[/tex]
[tex]\text {81*-9=}[/tex]
[tex]\text {Your Answer would be:}[/tex]
[tex]\fbox {-729}[/tex]
[tex]\text {Best of Luck!}[/tex]
4(1 - 4r) + 5(r - 7)
Answer -11r - 31
First you have to multiply the 4 to the numbers on parenthesis and also the 5 to the numbers of parenthesis.