Answers
Answer:
x = 9 cm
y = 4 cm
Step-by-step explanation:
The angle markings tell you the three angles of one triangle are equal to the three angles of the other triangle. That means the triangles are "similar", and the lengths of corresponding sides have the same ratio.
The bottom sides, between the angles with 1 mark and 3 marks, are shown as 3 cm in the green triangle and 6 cm in the blue triangle. This tells you all of the the green triangle dimensions are half those of the corresponding dimensions in the blue triangle:
x = (18 cm)/2 = 9 cm
It also tells you the blue triangle dimensions are 2 times those of the green triangle:
y = 2(2 cm) = 4 cm
_____
Additional comments
Corresponding sides having the same ratio means they are proportional (and vice versa). This can be expressed in equation form as ...
y/(2 cm) = (18 cm)/x = (6 cm)/(3 cm)
__
You may want to discuss this problem with your teacher. The side lengths shown in the figure do not form a triangle. The two short sides are too short to connect to the ends of the long side. The figure is impossible.
Related Questions
The length of a rectangle sign is 3 times it’s width, if the signs perimeter is 16 inches, what is the signs area
Answers
Width: 2in
Length: 2 x 3 = 6in
Perimeter: 6+6+2+2= 16in
Find the value of y when x=-4
4. 1/3y=2(x-1/6) 5. -6x-y=17.75
Answers
Answer:
1/3y=2(-4-1/6)
The first one answer is y=-25
-6×-4-y=17.75
The second answer is y=6.25
In a class of 25 students, 15 are female and 16 have an A in the
class. There are 12 students who are female and have an A in the
class. What is the probability that a student has an A given that
а
the student is female?
Answers
Work Shown:
m = number of girls who have an A = 12
n = number of girls in the class = 15
probability = m/n = 12/15 = (3*4)/(3*5) = 4/5
These signs give information about two different towns.
Study these signs carefully. Then, answer the questions and complete the statements
about them below.
Use the drop-down menus to complete each statement.
Answers
Answer:
In which town does the total number have meaning?
Answer: Town B
For Town A, it does not, cannot, does not.
For Town B, does, can, does.
Compare the expressions 7+3^2-2⋅5 and (3/4+1/8)÷1/8 using , =, or . Show your work. Answer:
Answers
[tex]A=7+3^2 -2 \cdot 5 = 7 + 9 - 10 = 9-3=6\\\\\\B = \left(\dfrac 34 + \dfrac 18\right) \div \dfrac 18 = \dfrac 78 \times 8 =7\\\\\\B>A[/tex]
The expression relation is 7+3²-2⋅5 > (3/4+1/8)÷1/8.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
First, 7+3²-2⋅5
Solving the above expression
= 7 + 9 -2.5
= 16 - 2.5
= 13.5
Second,
(3/4+1/8)÷1/8
= (6/8 + 1/8) ÷ 1/8
= 7/8 ÷ 1/8
= 7/8 x 8/1
= 7
Hence, 7+3²-2⋅5 > (3/4+1/8)÷1/8.
Learn more about Inequality here:
https://brainly.com/question/30231190
#SPJ2
60% of students at a high school participate in club activities. Rewrite this percent as a fraction in simplest form
Answers
Step-by-step explanation:
............no.................
There are 30 marbles in a bag. Write an expression for the number of marbles in the bag when 5 marbles are added
Answers
Answer:
i will clear you.
Step-by-step explanation:
Given:-
Marbels we have =30
when we add marbels =5
Now,
or,30+5
reposting this again because the first time didn’t work (please help!)
Answers
Answer:
I still can't open the file or I can't see it
Step-by-step explanation:
Two cities are 5 3/4 inches apart on a map. The map scale says that 1/2 inch= 10 miles. How many miles
apart are two cities?
Answers
Answer:
900 Miles
Step-by-step explanation:
Since 1 inch = 200 miles, then ....
4.5 inches * (200 miles / 1 inch) = (4.5 inches * 200 miles) / (1 inch) = 900 miles
OR
1 / 200 : 4.5 / m ==> 1 * 4.5 / 200 * 4.5 = 4.5 / 900 ==> m = 900
Thus, the actual distance between the two cities is 900 miles.
What is the mean absolute deviation of 6, 8, 2, 2?
Answers
Answer:
18/4 Is it correct?
Step-by-step explanation:
4.25
6 + 8 + 2 + 2 = 18
Divide by how many numbers there are
18/4 = 4.5
The mean absolute deviation is 4.5
Lauren is at a friend's home that is several miles from her home. She starts walking at a constant rate in a straight line toward her home. The expression −2t + 10 gives the distance, in miles, that Lauren is from her home after t hours. Answer the following questions using the information above.
a. How many miles away from her house did Lauren start?
b. How fast is Lauren moving towards her house?
c. Why is the rate negative?
d. How far away from her house is Lauren after 4 hours?
Answers
a.
Lauren was 10 miles away from her house when he started.
Since the expression for Lauren's distance from her house, d = -2t + 10, to determine the number of miles away from his house that Lauren starts, we input t = 0, since this is the time Lauren starts walking.
So, with t = 0, d = -2t + 10
= -2(0) + 10
= 0 + 10
= 10 miles.
So, Lauren was 10 miles away from her house when he started.
b.
Lauren was moving at a rate of -2 mph towards her house.
To find how fast Lauren was moving towards her house, we differentiate d with respect to t.
So, dd/dt = d(-2t + 10)/dt
= d(-2t)/dt + d(10)/dt
= -2 + 0
= -2 mph
So, Lauren was moving at a rate of -2 mph towards her house.
c.
The rate is negative because her distance towards her house is decreasing
The rate is negative because her distance towards her house is decreasing since she is moving towards her house.
d.
Lauren is 2 miles away from her house after 4 hours
To find this, we input t = 4 into the equation for d.
So, d = -2t + 10
= -2(4) + 10
= -8 + 10
= 2 miles.
So, Lauren is 2 miles away from her house after 4 hours
Learn more about distance travelled here:
https://brainly.com/question/17997145
The ratio of men to women working for a company is 5 to 7. If there are 196 women working for the company, what is the total number of employees?
employees
Answers
Answer:
336 employees
Step-by-step explanation:
Hi there!
We're given:
Ratio of men to women ⇒ 5:7
Number of women in the company ⇒ 196
1) Solve for the number of men in the company
Set up a proportion
[tex]\displaystyle \frac{5}{7} = \frac{x}{196}[/tex] where x is the number of men working at the company
Multiply both sides by x
[tex]\displaystyle \frac{5}{7} *196= x\\\\x=140[/tex]
Therefore, there are 140 men working at the company.
Now, we know that there are 140 men and 196 women working at the company. Assuming that they are the only people who work there, the total number of employees is 140 + 196 = 336.
I hope this helps!
Answer:
336 total employees
Step-by-step explanation:
divide women by their respective ratio to get unit multiplier
196÷7=28
add the 2 numbers in the ratio to get both men and women
7+5=12
multiply everyone by unit multiplier
12(28)
336
help pls anyone? pls
Answers
Can anyone please help??
Determine whether the inverse of F(c) is a function
Answers
What is the expanded form of 14.702
Answers
Answer:
The expanded form for 14.702 is
fourteen and seven hundred two thousandths
The mean of 11 numbers is 49. Removing one of the numbers causes the mean to decrease to 45. What number was removed?
Answers
Answer:
89Step-by-step explanation:
The mean:
[tex]\overline{x}=\dfrac{a_1+a_2+a_3+...+a_n}{n}[/tex]
We have:
[tex]\overline{x}=49;\ n=11[/tex]
Then we have
[tex]\dfrac{11\cdot49}{11}=49[/tex]
[tex]n[/tex] - the number
new mean is equal 45.
Therefore we have the equation:
[tex]\dfrac{11\cdot49-n}{11-1}=45\\\\\dfrac{539-n}{10}=45\qquad|\text{multiply both sides by 10}\\\\539-n=450\qquad|\text{subtact 539 from both sides}\\\\-n=-89\qquad|\text{change the signs}\\\\n=89[/tex]
Step-by-step explanation:
(x1 + x2 + ... + x11)/11 = 49
x1 + x2 + ... + x11= 49×11 = 539
(x1 + x2 + ... + x10)/10 = 45
x1 + x2 + ... + x10 = 45×10 = 450
so, the difference in both sums is
539 - 450 = 89
89 was the removed number.
so, she was making $9/hr, then she's da bomb so she got a raise of 150%.
making 150% over that amount means more than that amount, so her raise was 150%, congrats to Maria.
if we take 9 to be the 100%, then adding 150% to that will be 100% + 150% = 250%.
Answers
In Diagram 6, JCK is a tangent to the circle ABC
Find the value of x.
A 1149 B 76° C 52° D 26°
Answers
Answer:
C
Step-by-step explanation:
if you don't know it choose C
There are 29 cars in a race. How many different ways can the cars finish in order in the top 4 positions?
Answers
Answer:
N=29.28.27=29484
(sorry if this didn't help)
Step-by-step explanation:
The triangle is to be reduced by a ratio of 1:2.
a
Answers
Answer:
where is the triangle?
Step-by-step explanation:
I need to know the answer
Answers
Answer:
2 x 6 = 12
6 x 2 = 12
12 ÷ 6 = 2
12 ÷ 2 = 6
Step-by-step explanation:
Estimate the limit 1/x+2-1/4/x-1
Answers
Answer:
Step-by-step explanation:
Begin by finding a common denominator in the numerator of that rational expression. The common denominator is 3(x+2):
[tex]\frac{\frac{(3)1}{(3)x+2} -\frac{(x+2)1}{3(x+2)} }{x-1}[/tex] which simplifies to
[tex]\frac{\frac{3}{3x+6} -\frac{(x+2)}{3x+6} }{x-1}[/tex] which simplifies further to
[tex]\frac{\frac{3-x-2}{3x+6} }{x-1}[/tex] and
[tex]\frac{\frac{1-x}{3x+6} }{x-1}[/tex] Bring up the lower fraction and flip it and multiply:
[tex]\frac{1-x}{3x+6}*\frac{1}{x-1}[/tex] In order to make the 1-x into x-1, multiply the numerator of that fraction on the left by -1 to get:
[tex]-\frac{x-1}{(3x+6)(x-1)}[/tex] and now the x-1 terms cancel out, leaving us with:
[tex]-\frac{1}{3(1)+6}=-\frac{1}{9}=-.1111[/tex]
What is the value of x?
14(6x−2)=x−2
A)-3
B)2
C)-7
D)-9
Answers
14(6x-2)=x-2
84x-28=x-2
84x-x= 28-2
83x = 26
x = 26/83
there are no corect answer below
ok done. Thank to me :>
. Bobignment In what year was the LAWMA Established-
Answers
Please help asap! Solve for x and y
Answers
Answer:
Step-by-step explanation:
You are working with a square. All 4 sides are equal
2x+ 1 = 4x - 7 Subtract 2x from both sides
1 = 4x - 2x - 7 Combine
1 = 2x - 7 Add 7 to both sides
1 + 7 = 2x Combine
2x = 8 Divide by 2
2x/2 =8/2
x = 4
The diagonals of a square bisect the 90 degree angle.
7y + 3 = 45 Subtract 3 from both sides
7y = 45 - 3 Combine
7y = 42 Divide by 7
y = 42/7
y = 6
please help me with this and thank's
Answers
Answer:
Step-by-step explanation:
2 3. 5. + = 3 5. 8. + = 5 8. 13. + = Worked Example 1. The sequence of square numbers is. 1, 4, 9, 16, 25, 36, . . . Explain how to obtain the next number ...
Help pls will give brainlist
Answers
Answer:
should be c
Step-by-step explanation:
Answer:
B) is the answer I hope I could help
link is in the comments!
PLEASE HELP!
Answers
Answer:
How can I help you?
Your neighbour has two children. You learn that he has a son, Samuel. What is the probability that Samuel's sibling is a brother?
Answers
Answer: 50%
Step-by-step explanation:
If the neighbor has 2 children and one is a male out of 100% it would just be 100% divided by 2 i think im not sure but i hope this helps
Is there anyone that can please help me out with this question as soon as possible?
Answers
Answer:
1. -3 × Equation [A1] --> Equation [B1]
2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]
Step-by-step explanation:
There isn't a very elegant way to do this, you just need to brute force it a little and see which options are completely unreasonable and can be skipped. This is what I managed to figure out:
1. -3 × Equation [A1] --> Equation [B1]
6x × -3 = -18x
-7y × -3 = 21y
14 × -3 = -42
2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]
(4x × 7) + -18x = 28x - 18x = 10x
(-3y × 7) + 21y = -21y + 21y = 0y
(-4 × 7) + -42 = -28 - 42 = -70
I can try to explain more about how I got those if you want, but like I said, there isn't much of a method to it other than trial and error.