Answer:
the first line
Step-by-step explanation:
because the second line should be -3x=30
In the figure below, ABC is similar to XYZ . What is the length of ZX ? Enter only the number as an integer or decimal. An image shows two similar right triangles, A B C and X Y Z. Triangle A B C is smaller than triangle X Y Z. In triangle A B C, side A B is 2, side B C is 4, and side C A is 3. In triangle X Y Z, side X Y is 7, side Y Z is 14, and side Z X is labeled N.
Given:
Triangle ABC is similar to triangle XYZ.
In triangle ABC AB=2, BC=4, CA=3.
In triangle XYZ, XY=7, YZ=14, ZX=N.
To find:
The length of ZX.
Solution:
If two triangles are similar, then their corresponding sides are proportional.
Since [tex]\Delta ABC\sim \Delta XYZ[/tex], therefore
[tex]\dfrac{AB}{XY}=\dfrac{BC}{YZ}=\dfrac{CA}{ZX}[/tex]
[tex]\dfrac{2}{7}=\dfrac{4}{14}=\dfrac{3}{N}[/tex]
[tex]\dfrac{2}{7}=\dfrac{2}{7}=\dfrac{3}{N}[/tex]
[tex]\dfrac{2}{7}=\dfrac{3}{N}[/tex]
On cross multiplication, we get
[tex]2\times N=3\times 7[/tex]
[tex]2N=21[/tex]
Divide both sides by 2.
[tex]N=\dfrac{21}{2}[/tex]
[tex]N=10.5[/tex]
Therefore, the length of side ZX is 10.5 units.
Consider the system of inequalities x < 10 and x > 3
How many solutions are there to this system of inequalities?
What is the largest value of x in the solution set?
Explain your responses in the box below.
Answer:
There are 6 different solutions. The largest value of x in the solution set is 9.
Step-by-step explanation:
X has to be less than 10 and greater than 3. So it has to be 4 5 6 7 8 or 9
3x + 21 6x - 60 find the two angles measure from the diagram answers 78,102 78,78 or 102,102
Answer:
102 and 102Step-by-step explanation:
There is no diagram attached
It is assumed the angles are vertical
Vertical angles are congruent as per vertical angles theorem
3x + 21 = 6x - 606x - 3x = 21 + 603x = 81x = 81/3x = 27Angle measures
3*27 + 21 =81 + 21 = 102So the answer is
102 and 102please help me asap
Answer:
12. D
13. D
Step-by-step explanation:
12: 1/4 = .25
7/16 = .4375
5/8 = .625
3/4 = .75
6 * 7 = 42
42 + 4 = 46
46/7
Answer:
12. Its D (A= 1/4, B= 7/16. C= 5/8, and D= 3/4)
13. 42/7 or A
Explanation: I worked it out lol
Round to the nearest 10.
Answer:
Rounding numbers to the nearest 10 means finding which 10 they are nearest to. For example, 68 rounded to the nearest 10 is 70.i hope this helps
Label each point on the number line with the correct value. Each dot represents a potential answers for each number.
Answers:
Point A = 0.62Point B = 7/9Point C = 10/9===================================================
Explanation:
Using a calculator, we get the following decimal approximations
1/3 = 0.3332/3 = 0.6677/9 = 0.77810/9 = 1.111Based on that, we see that 0.620 is between 0.333 and 0.667
We can say 0.333 < 0.620 < 0.667
which is the same as 1/3 < 0.62 < 2/3
So, 0.62 is between 1/3 and 2/3
0.62 will be placed at point A.
--------------
Since 7/9 = 0.778 is between 2/3 = 0.667 and 1, this means,
7/9 will go to point B.
--------------
Since 1.111 > 1, this means 10/9 > 1
Therefore 10/9 will go to point C
Reflect triangle across the x-axis. What are the coordinates of B'?
у
C
A
Pre-image
Image
Final Image
A(-5,6)
=(-5.-6)
A =(2,-6)
B
B
с
Rule:
(4.-3)
O (4,3)
O(-4,-3)
Answer:
O (-4,-3) is the answer
BRAINLIEST, 40 points
A girl's feet are negative 2/4 yards from the surface of a pool. A boy's feet are negative 3/4 yards from the surface of the pool. Determine whose feet are closer to the surface.
A. The girl's feet are closer to the surface of the pool because negative 2/4 > negative 3/4.
B. The boy's feet are closer to the surface of the pool because negative 2/4 > negative 3/4.
C. The girl's feet are closer to the surface of the pool because negative 2/4 < negative 3/4.
D. The boy's feet are closer to the surface of the pool because negative 2/4 < negative 3/4.
Answer:
A
Step-by-step explanation:
as a negitive 1/2 is closer than 3/4
barbara had $128 in her account and spent 62% on groceries. how much money does she have now?
Answer:
48.64
Step-by-step explanation:
128-62%= 48.64
So she has 48.64 dollars left.
Hope this helps:)
Answer:
$79.36
Step-by-step explanation:
Just move the decimal over in your percentage over two so you get .62 and multiply
128 * .62 = 79.36
Let me know if this helped!
Nine students in Maddie's classroom are wearing red. There are
30 students in her class. Maddie says that 30% of her class is
wearing red. Is Maddie correct? Explain your reasoning.
Answer:
YES
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
30 students
9 of them wearing red
Maddie says 30% of her class is wearing red.
you know this because 30 total students take away 9 and you have 21.
now what you do is take that and you are left with 21 and then you add the nine back so you get 30%!!! DONE BOOM
Select the correct answer.
Ralph buys an antique vase for $400 and sells the vase for $600. How does he enter the profit or loss in his account book?
A. -$200
B. +$200
C. +$400
D. +$600
Answer:
The answer is B. +$200.
Step-by-step explanation:
Because when Ralph purchased the vase for $400 and is selling them at a higher price for $600. The difference is $200. He has gained $200 as a profit for every vase that is sold.
What is the answer to the multiplication problem that is modeled below?
a 3/4
b 7/8
c 3/8
d 1/2
Answer:
I think is A
Step-by-step explanation:
ssssssssdhdtdñuxouryoetwarsgdkcktctkcykcykcyovyoctidrstidgkvlh lhchictixtix
Answer:
I would say C ig
Explanation: I never seen this method in my life ir atleast I don't remember but you got a 25% chance if success rate
What four shapes that have opposite sides that are parallel
Answer:
Hmmm square alsooooo let me thinkk
Step-by-step explanation:
Which measurement is greater 0.087 kg or 0.800 kg
Answer:
0.800 kg
Step-by-step explanation:
Which expressions are equivalent to z + (z+6)?
Choose all answers that apply:
A: (z+z) (z+6)
B: (z + 6) +6
C: 2(z+3)
A pond at a hotel holds 4,290 gallons of water. The groundskeeper drains the pond at a rate of 78 gallons of water per hour. How long will it take to drain the pool? Idk why it says I'm in college.
Answer:It will take
55
hour to drain the pond.
Explanation:
Time require
=
4290
78
=
55
hour.
It will take
55
hour to drain the pond.[Ans]
Answer link
Related questions
What is rates of change?
Can
Step-by-step explanation:
Question 5
60% of 50
Question 6
25% of 16
A 12 ounce starbucks latte costs $3.36. What is the constant of proportionality that relates the codt in dollars,y,to the number of ounces,x,in a starbucks latte?
Answer:0.28
Step-by-step explanation:
3.36÷12= 0.28
The constant of proportionality is 0.28 dollars per pounds.
An equation is used to show the relationship between two or more numbers and variables.
Let y represent the cost in dollars for x number of ounces.
Since y is proportional to x, hence it van be represented by:
y = kx
where k is the constant of proportionality.
Given that:
A 12 ounce starbucks latte costs $3.36. Therefore:
3.36 = 12k
k = 0.28
The constant of proportionality is 0.28 dollars per pounds.
Find out more on proportionality at:https://brainly.com/question/24868934
Find the additive inverse of
-100
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
---> 100
hope it helps you,
mark me as the brainliest....
Follow me....
1) Sqrt (115) lies between what two numbers?
Answer:
it lies between 10 and 11
Step-by-step explanation:
Suppose 60% of the graduating class in certain high schools goes to college. If 240 students from this graduating class are going to college how many students are in class
Answer:
4
Step-by-step explanation:
because it is
True or False...does the verbal situation
represent the equation 2 + 1.5x = 2x?
Billy's movie club charges a membership fee of $2 plus $1.50
per rental, while Suzie's movie club has no membership fee
but charges $2 per rental. Bill and Suzie find that they each
rented the same number of movies last month and paid the
same total amount. Find x, the number of movies each
person rented.
help me pretty please. with 11th grade math
Answer:
180 the answer. English is a West Germanic language first spoken in early medieval England which eventually became the leading language of international discourse in today's world.
A lifeguard received 15
Answer:
c
Step-by-step explanation:
Whats kjfsjfhafkjsfvkasvkasfjgajsf 10 + 2
Answer:
12
Step-by-step explanation:
I think that’s what u saying
Answer:
12
Step-by-step explanation:
10+2=12
I need help on this
ASAP
Answer:
the answer is 1
Step-by-step explanation:
one is an odd number
Write down the whole numbers less than 5?
Answer:
1,2,3,4 and all the negitive numbers but I do not think they need negitive
Step-by-step explanation:
Whole numbers are numbers that do not have decimals or fractions
what is the quotient of 2,173 ÷ 53
A. 341 R 3
B. 341 R 7
C.409 R 3
D.409 R 7
If I || m, find the value of x (9x-4) ८(5x + 16)
Answer:Wait a sec
Step-by-step explanation:
A rectangle has a width of 3∕4 inches and a length of 9∕10 inches. Another rectangle is larger but still proportional to the first rectangle. It has a width of 30 inches and a length of 36 inches. What proportion could model this situation?
Question 1 options:
A)
B)
C)
D)
Answer:
Bigger size / smaller size = 40
Step-by-step explanation:
Notice that we
36 / (9/10) = 30 / (3/4) = 40
Therefore the proportion model would be
Bigger size / smaller size = 40