Answers
Answer:
A. x = 2, y = 12
Step-by-step explanation:
You can solve this problem using similar triangles; you know the triangles are similar because each of the two legs of the triangles are cut in half, meaning the line 5x - 3 is parallel to x + 12. Because of the nature of this figure (the line that is length 5x - 3 cuts the triangle exactly halfway), you can write an equation to find x:
2(5x - 3) = x + 12 (this is a property of triangles when a line is parallel to a base and intersects the triangle at half of that base's height. The line would be half the base)
10x - 6 = x + 12 (simplify)
9x - 6 = 12 (subtract x from both sides)
9x = 18 (add 6 to both sides)
x = 2 (divide both sides by 9)
At this point, you could just click A since that's the only problem where x = 2, but for the sake of properly explaining this problem, I'll continue to find y.
In the image, y + 8 is equal to 2y - 4, shown by the short lines intersecting each side signifying congruence. Now, you can write an equation for this and solve:
y + 8 = 2y - 4
8 = y - 4 (subtract y from both sides)
y - 4 = 8 (switch it around so y is on the left; you don't have to do this, but I think it makes the problem more comfortable to solve)
y = 12 (add 4 to both sides)
Related Questions
Four numbers are such that their mean is 13 their median is 14 and their mode is 15. Find the 4 numbers
Answers
Answer:
7,5,3,1
Step-by-step explanation:
PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my computer is slow and no ctrl c ctrol v if possible
Given a right triangle with leg lengths f and g, and hypotenuse h, if f = 7 cm and h = 11.2 cm, what is g?
Show your work.
Answers
Step-by-step explanation:
o2+a2=h2
100} h^{2}=(10ft)^{2} +(17ft)^{2}
h2=100ft2+289ft2
h=389ft2−−−−−√
→19.7ft
this is an example on how to do it
The value of g in the given right triangle is 13.20 units.
What is the Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse.
Given that, a right triangle with leg lengths f and g, and hypotenuse h, if f = 7 cm and h = 11.2 cm,
We need to find the value of g the hypotenuse,
So, here using the Pythagoras theorem,
f²+h² = g²
Therefore,
11.2²+7² = g²
g² = 174.44
g = 13.20
Hence, the value of g in the given right triangle is 13.20 units.
Learn more about Pythagoras theorem, click;
https://brainly.com/question/21926466
#SPJ2
Triangle ABC has vertices A(0, 6), B(-8, – 2), and
C(8, – 2).
A dilation with a scale factor of 1/2 and center at the origin is
applied to this triangle.
What are the coordinates of B' in the dilated image?
Enter your answer by filling in the boxes.
B' has a coordinate pair of ( )
Answers
Answer:
B' has a coordinate pair of (-4, -1)
Step-by-step explanation:
We are given with the vertices of the triangle with B(-8,-2)
Please remember the rule of dilation
If a point (x,y) dilated for the scale factor of 'k', we do get image as (kx,ky)
Using this concept, we know scale factor is [tex]\frac{1}{2}[/tex] , we could get image as [tex](\frac{1}{2} (-8), \frac{1}{2} (-2))[/tex]
Let's simplify it
We do get (-4,-1)
Please help me with this!
Give an approximation of the height of the tree.
The tree is approximately____ feet tall.
Answers
24 ÷ 8 = 3
3 × 3 = 9 ft
that's all
please help i need help with all of these questions
Answers
Answer:
1: 1/2
2: 6
3: 2
4: -4
Step-by-step explanation:
I'm smart give me brainliest
21 years ago Alvin was 11 times older than Tomio. The sum of their present age is 54.
Answers
Answer:
Not sure exactly what answer you are looking for. But I assume it is the ages of them. Their original ages would be Tomio - 1 year old, Alvin - 11 years old. Now, Tomio - 22, Alvin - 32
Step-by-step explanation:
1(tomio) x 11 = 11 (alvin) (add 21 to these)
22+32=54
hope that makes sense
What does x represent X-9=21
Answers
Answer:
x = 30
Step-by-step explanation:
If X - 9 = 21, then 21 + 9 = X.
21 + 9 = 30
Answer:
x=30 (think about the opposite way to do it, 21+9)
Step-by-step explanation:
30-9=21 soo yea
DO NOT GIVE ME A DARN PDF!!!!!
Solve for x: 27 = 6x - 21.
a.1 = x
b.6 = x
c.no solution
d.8 = x
Answers
Answer:
a
Step-by-step explanation:
Step-by-step explanation:
Here's the answer.
PLEASE FOLLOW ME!
whats 1/2 mineus 1/3
Answers
Answer:1/2 - 1/3 = 1/6
Step-by-step explanation:
Answer: 1/6 or 0.16
Step-by-step explanation: hope this helps!
WILL GIVE BRAINLIEST!
A plumber's labor costs for house calls C is given by by C = t + 55, where t is the number of minutes the plumber works in the house. From the graph of the function, what is the cost in dollars if the plumber works 20 minutes? (Enter an exact number.)
Answers
Answer:
$75.00
Step-by-step explanation:
What is the relationship between the two quantities in the table?
X
1
2
У
9
18
27
36
3
4
The relationship between the quantities is "+9."
The relationship between the quantities is "-27"
The relationship between the quantities is "x 9."
The relationship between the quantities is " 27."
Hu
Answers
Answer:
The Answer Is X 9, Aka C, I just got it correct
Write an equation of the line that passes through (-4 , 2) and is parallel to the line
y = 1/4 + 1
SOLVE MY QUESTION PLEASE!!
I’LL PUT YOU IN BRAINLEST!!
Answers
Answer:
y=1/4x + 3
Step-by-step explanation:
We know that the beginning of the equation has to be 1/4x since the line has to be parallel. So what I did was start at -4,2 then go up 1 and over 4, which led me to 3 as the y intercept.
I attached a photo. Not sure if it makes sense but I tried my best.
Philip made $1,155 in 15 days. Let "m" represent the amount of money that Philp made each day. If Philip made the same amount of money each day, how much did he make in one day.
Answers
Answer:
he made in one day is $77
Step-by-step explanation:
Given that
Philip made $1,155 in 15 days
Now based on the above information
The amount he make in one day is shown below:
= $1,155 ÷ 15 days
= $77
hence he made in one day is $77
The same would be relevant
ERMS is selling tickets to a musical performance. On the first day of ticket sales the school sold 8 adult
tickets and 4 child tickets for $32. On the second day they sold 5 adult tickets and 3 child tickets for $21.
Find the price of an adult ticket and the price of a child ticket.
Adult ticket (x): $
Child ticket (y): $
(i already asked this but no one responded)
Answers
so x = 3
and the children’s tickets cost $2
so y = 2
What is the area?
6 cm
4 cm
4 cm
:)
Answers
Answer:
96 cm
Step-by-step explanation:
Multiply 6x4x4=96
$1400 is invested at 2% per annum simple interest. How long will it take for the total amount to reach $1624?
Answers
Answer:
7.5 years.
Step-by-step explanation:
Use A = 1400(1+0.02)^7.5
The 1400 is the starting money. The 1 is a constant. The 0.02 is the 2% in decimal form. And the 7.5 is years. I found that by just continually increasing it until it hit 1624.
Hope this helps
What is the measure of n?
6
24
n
m
n =
[?]
Answers
Answer:
n = 12
Step-by-step explanation:
By applying geometric mean theorem in the given right angle triangle,
[tex]\frac{AD}{BD}=\frac{BD}{DC}[/tex]
BD² = AD × DC
Now substitute the values of each side given,
n² = 6 × 24
n² = 144
n = 12
Answer this question please. I’ll give Brainliest.
Answers
9514 1404 393
Answer:
(a) 1 and 3; 2 and 4
Step-by-step explanation:
In this figure, adjacent angles are linear pairs, so are supplementary. The only angles that are not are the vertical angles.
1 & 3, 2 & 4 are not supplementary
Answer: Its D
Step-by-step explanation:
PLEASE HURRY!!!! WILL GIVE BRAINLYEST!!
The probability of landing on green when spinning a spinner is 1/5. Choose the likelihood that best describes the probability of this event.
A. Impossible
B. Neither likely nor unlikely
C. Unlikely
D. Likely
Answers
Answer:
Step-by-step explanation:
0<1/5<1/2
So it is possible but unlikely
C. Unlikely
Answer:
the person above is right
Step-by-step explanation:
the answer is unlikely
How many solutions can be found for the system of linear equations represented on the graph?
Answers
What is the total cost to the nearest cent? $14.30 watch; 6.75% tax
Answers
Answer:
$15.27
Step-by-step explanation:
Wall-E is sending signals that he is driving into a crater at an angle of depression of 58°. If Wall-E covers a horizontal distance of 130 meters, what vertical distance has it traveled?
Answers
Answer:
208 meters
Step-by-step explanation:
Wall-E is sending signals that he is driving into a crater at an angle of depression of 58°. If Wall-E covers a horizontal distance of 130 meters, what vertical distance has it traveled?
tan θ = Opposite/Adjacent
θ = Angle of depression
Adjacent = Horizontal distance = 130 meters
Opposite = Vertical distance = x
θ = 58°
tan 58 = x/130 meters
Cross Multiply
x = tan 58 × 130 meters
x = 208.04348878 meters
Approximately = 208 meters
Therefore, the vertical distance it travelled is 208 meters
Determine which number is a solution of the inequality. j+8 ≤ 8; 0, 1, 2
Answers
Answer:
The solution to the inequality is 0.
Three people eat 2 pizzas toghether.both pizzas are the sane size. One person 2/3 of a pizza. A second person eats 1/2 of a pizza how much does the third person eat
Answers
Step-by-step explanation:
put it into sixths
Step-by-step explanation:
2/3=4/6
1/2=3/6
3/6+4/6=7/6
2-1 1/6= 5/6
so the answer is 5/6 the decimal form is .83333333.......
Find the missing number in the proportion.
23 over 50 = ___ over 100
Answers
Answer:
46
Step-by-step explanation:
let that number x
so [tex]\frac{23}{50} =\frac{x}{100}[/tex]
I do cross multiplication so 23*100=2300 and 50*x=50x
so 50x=2300 divide both by 50
x=46
Answer:
46
Step-by-step explanation:
since 100 is 50×2 you just do the same thing to 23 and multiply it by 2.
At the BOBA CLUB you must be a member to buy boba. A membership cost $4. Once you are a member of BOBA CLUB each Boba drink is $2. At JACK’S BOBA you do not need to be a member. Anyone can walk in JACK'S BOBA shop and buy one drink for $3
Boba Club: y=2x+4
Jacks Boba: y=3x
Which is cheaper if you want to buy 7 boba drinks? How much cheaper? What is the solution to the system of equation?
Answers
Answer:
Boba Club is cheaper if you want to buy 7 Boba drinks. It's cheaper by 3.
Step-by-step explanation:
Boba Club: y=2x+4
Jack's Boba: y=3x
Replace the X variable with 7 for both equations. For Boba Club, multiply 2 by seven to get 14, then add four to get 18. For Jack's Boba, multiply 3 and 7 to get 21. Boba Club is cheaper. (What would you need 7 Boba drinks for though?)
Answer:
Boba Club is cheaper if you want to buy 7 Boba drinks. It's cheaper by 3.
Step-by-step explanation:
A scientist has two solutions, which she has labeled Solution A and Solution Each contains salt. She knows that Solution A is 40% salt and Solution B is 55% salt. She wants to obtain 90 ounces of a mixture that is 45% salt. How many ounces of each solution should she use?
Answers
Answer:
Step-by-step explanation:
Let the number of ounces of
A = x
B = y
A scientist has two solutions, which she has labeled Solution A and Solution Each contains salt. She knows that Solution A is 40% salt and Solution B is 55% salt. She wants to obtain 90 ounces of a mixture that is 45% salt. How many ounces of each solution should she use?
Our system of equations is given as
x + y = 90.... Equation 1
x = 90 - y
40% × x + 55% × y = 45% × 90 ounces
0.4x + 0.55y = 40.5....Equation 2
We substitute 90 - y for x in Equation 2
What is 1/4 squared??
Answers
Answer:
1/16
Step-by-step explanation:
1²/4² equals 1/16.
Harry maid fruit punch using 2 parts Orange juice to 3 parts of soda water. The amount of soda water that Henry used is directly proportional to the amount of orange juice used. How many cups of orange juice should henry use with 18 cups of soda water?
Answers
Answer:
Step-by-step explanation:
j represents the amount of juice
2 : 3 :: j : 18 proportion
3j = (2)(18)
Fill in the missing value for the coordinate pair that lies on the graph of the function
y = 2^x
(5,___)
Answers
y=2^x
y=2^5
y=32
the missing value is 32