have to state if the triangles are similar or not.
2. You have to provide the postulate used if similar.
3. You have to complete the similarity statement. 4. You have to support your answers with work.
Answers
Answer:
Step-by-step explanation:
10). 1). Both the triangles are not similar.
2). For the similarity of two triangles, corresponding sides of the triangles should be proportional and the included angles should be equal in measure.
Although the angle given is equal but the corresponding sides of the triangles are not proportional, triangles are not similar.
[tex]\frac{UW}{HF}= \frac{UV}{GF}[/tex] (For similar triangles)
[tex]\frac{9}{21}= \frac{18}{42}[/tex]
[tex]\frac{3}{7}=\frac{6}{7}[/tex]
But [tex]\frac{3}{7}\neq \frac{6}{7}[/tex] therefore, both the triangles are not similar.
11). In ΔTUV and ΔCDE,
If the given triangles are similar, their corresponding sides will be proportional and the included angle will be equal in measure.
∠C ≅ ∠T [Given]
[tex]\frac{TU}{CD}= \frac{UV}{DE}[/tex]
[tex]\frac{30}{10}=\frac{27}{9}[/tex]
3 = 3
True.
Therefore, ΔTUV ~ ΔCDE (By SAS postulate of similarity]
Related Questions
Question Progress
Solve the inequality 5y + 4 < 3y + 17
Answers
Answer:
y < [tex]\frac{13}{2}[/tex]
Step-by-step explanation:
Given
5y + 4 < 3y + 17 ( subtract 3y from both sides )
2y + 4 < 17 ( subtract 4 from both sides )
2y < 13 ( divide both sides by 2 )
y < [tex]\frac{13}{2}[/tex]
Answer:
y < 13/2
Step-by-step explanation:
y=1/2x +-6 on a graph
Answers
Answer:
(0,-6) and (12,0)
Step-by-step explanation:
These two points form a line that follow the rule of the equation
1/3 + 3/8 =?? wich method can sole the number sentence
Answers
Eplination: you need a common demonator
Plzz write with formula and explanation plzzzzzzzz answer fast
Answers
Answer:
Rs 19 1/8
Step-by-step explanation:
Fromm the above question, we are told that:
The cost of 2/3 meters of rope = Rs 12 3/4
We are asked to calculate the cost per meter of rope.
Hence:
2/3 meters of rope = Rs 12 3/4
1 meter of rope = Rs x
Cross Multiply
2/3x = 1 × 12 3/4
x = 12 3/4 ÷ 2/3
x = 51/4 ÷ 2/3
x = 51/4 × 3/2
x = 153/8
x = Rs 19 1/8
Therefore, the Cost per meter of rope = Rs 19 1/8
Find the x- and y-intercepts of the graph of x + 5y = 6 state your answer as whole numbers or as improper fractions in simplest form
Answers
Answer:
[tex]y=-\frac{1}{5}x+\frac{6}{5}[/tex]
Step-by-step explanation:
Let's solve for x.
[tex]x+5y=6[/tex]
Step 1: Add -5y to both sides.
[tex]x+5y+-5y=6+-5y[/tex]
[tex]x=-5y+6[/tex]
Answer:
[tex]x=-5y+6[/tex]
Let's solve for y.
[tex]x+5y=6[/tex]
Step 1: Add -x to both sides.
[tex]x+5y+-x=6+-x[/tex]
[tex]5y=-x+6[/tex]
Step 2: Divide both sides by 5.
[tex]\frac{5y}{5}=\frac{-x+6}{5}[/tex]
[tex]y=\frac{-1}{5} x+\frac{6}{5}[/tex]
Answer:
[tex]y=\frac{-1}{5} x+\frac{6}{5}[/tex]
12 parents volunteered to
chaperone the dance. If 15% of all
parents polled volunteered, how
many parents were asked to
volunteer?
Answers
Answer:
80
Step-by-step explanation:
15/100x=12
3/20x=12
x=12*20/3=80
if my answer helped please mark as brainliest.
Answer:
if 15% of all parents polled volunteered, then 80 parents were asked to volunteer.
Step-by-step explanation:
Okay so basically 12 is 15% of a number therefore 12/? = 15%/100?
So we multiply 12 x 100= 1200
Then divide 1200 ÷ 15 to get your answer.
1200 ÷ 15 = 80
whats the area of 18ft and 32ft as a right triangle
Answers
9514 1404 393
Answer:
288 square feet
Step-by-step explanation:
The area of a triangle is given by ...
A = 1/2bh
For a right triangle, the leg lengths can be used for b and h.
A = 1/2(18 ft)(32 ft) = 288 ft²
The area of the right triangle is 288 square feet.
2) Solve the System of Equations using Substitution.
-3x+2y=12
x=2y-8
Answers
Answer:
x=-2. y=3
Step-by-step explanation:
So, it tells us that x=2y-8.
Now substitute x into the equation.
-3(2y-8)+2y=12
- 6y+24+2y=12
-4y+24=12
-4y=-12
y=-12/-4
y=3
Now that we know that y=3 substitute y into the second equation equation.
x=2(3)-8
x=6-8
x=-2
So in the end x=-2 and y=3
Hope this helps
Answer:
y=3, and x= -2
Step-by-step explanation:
-3x= -2y+12
x=2y-8
3x=2y-12
3x=6y-24
2y-12=6y-24
-4y=-12
y=3
x= -2
Hey I'm Chloe Lol, Can You Help Me Thank you :)
Solve The following For x :
3( 3x+9) = 4(4 x+5)
Answers
3x-9=4
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
3(3x+9)=4(4x+5) distribute through multiplication
9x + 27= 16x + 20 subtract 9x and 20 from both sides
7 = 7x divide both sides by 7
x =1
check work
3(3(1)+9) = 4(4(1)+5) distribute the x
3(12) = 4(9)
36 = 36
Congrats I hope this helped!
Jane bought a jacket that costs $49.95 plus a sales tax of 8%. How much sales tax did Jane pay for the jacket?
A) $54.07
B) $45.83
C) $5.00
D) $4.12
Answers
Answer:
$3.996
Step-by-step explanation:
8%=0.08
49.95*0.08=3.996
$8.40 is what
percent of $28?
Please help
Answers
Answer:
30%
Step-by-step explanation:
$8.40 is 30% of 28
PLEASE ANSWER ASAP!
Find (f+g)(x).
f(x) = 1/x
g(x) = x² + 2x - 5
-----------------------
a.) 1/x - x² - 2x b.) 1/x + x² + 2x - 5
c.) x² + 2x -5 - 1/x d.) 1/x + x² - 5
Answers
Answer:
I think it is b but I could be wrong
(9r^2+4r-7)+(3r^2-3r)
Answers
Answer:
12r2+r−7
Step-by-step explanation:
hope it helped
Help PLEASE I forgot how to do this :'(
Answers
Answer:
C) The sum of the first 2 terms after the fourth term.
please hurry! I'm so confused
Answers
Answer:
Step-by-step explanation:
The general equation is
y = 2.49x + 24.99
The number of cones bought is x
The cake cost is 24.99
The total cost is y
===========
So the meaning of (5,37.44) is that she bought 5 cones and 1 cake. Let's just check that out.
Check
y = 2.49*5 + 24.99
y = 12.45 + 24.99
y = 37.44
So the total cost (y) of 5 cones (2.49 each) and 1 cake ($24.99) is 37.44
Claire is going to invest in an account paying an interest rate of 4.8% compounded
continuously. How much would Claire need to invest, to the nearest hundred dollars,
for the value of the account to reach $540 in 13 years?
Answers
Answer: P= 300
Step-by-step explanation:
Simplify
(2m-m) - (3m+4n)
Answers
A snail is moving along a path that is 4 meters long. The snail moves at an average rate of 3 3/10 inches per minute. Question 1 Part A Find the length of the path to the nearest inch. (Hint: 1 in.≈2.54 cm) Enter the correct answer in the box.
Answers
Answer: The length of the path = 157 inches { approx}
Step-by-step explanation:
Given: The length of the path = 4 meters
1 meter = 100 centimeters
So 4 meters = 400 centimeters
Also 1 in. ≈ 2.54 cm
[tex]\Rightarrow\ 1 cm = \dfrac{1}{2.54}\ in.[/tex]
Now, [tex]\text{ 400 centimeters}=400\times\dfrac{1}{2.54}\text{ inches}[/tex]
[tex]=157.480314961\approx 157 \ \ \ \ \ \text{ [Rounded to the nearest inch.]}[/tex]
Hence, the length of the path = 157 inches { approx}
Evaluate the expression when when c = 3 and d = 33
Answers
Answer:
45
Step-by-step explanation:
What is the solution to the equation?
Answers
Hope this helps you ☺️
Answer:
C. x = 63
Step-by-step explanation:
X ÷ 3 = 21 is the same as 3 × 21 which is 63.
In the system of equations, which variable would it be easiest to solve for?
2 x + 4 y = 26. 3 x + y = 9.
The easiest to solve for is x in the first equation.
The easiest to solve for is y in the first equation.
The easiest to solve for is x in the second equation.
The easiest to solve for is y in the second equation.
Answers
Answer:
The easiest way of solving this is to eliminate one of the variables. If you multiply each of the equations by a number so you can add the equations together and have only one variable left, you can solve the single variable equation. Try multiplying the first equation by 11, the second by -10 and adding them, thus eliminating the y variable. After this, substitute that value you have for x and solve for y. I hope this helps.
Step-by-step explanation:
D Itś D DDDDDD DDDDDDDDDDDDDDDDDD
what is the sum of 3aa+5aa=
Answers
Answer:
8aa
Step-by-step explanation:
Answer:
8aa is the correct answer of this question
Quadrilateral ABCD has side lengths of 2, 5, 7, and 12. A
new quadrilateral is created, using a scale factor of 0.25.
Which of the following are side lengths of the new
quadrilateral?
Quick first gets brainliest!!
Answers
Answer:
You didnt put any answer choices but by applying that scale factor, I got these measurements in the order you put them in. 0.5. 1.25. 1.75. 3.
Kendra is buying bottled water for a class trip.She has 16 bottles left over from the last trip.She buys bottles by the case to get a good price. Each case holds 24 bottles. How many cases will she have to buy if she wants to have a total of 160 bottles of water?
Answers
i need helpppppppppppppp
Answers
Answer:
B
Step-by-step explanation:
Factor out 1/4.
1/4 - 3/4 x = (1/4)(1 - 3x)
Answer: B
How do we solve this?
Answers
Answer:
B is (3, 10)
Step-by-step explanation:
The midpoint of coordinates of the 2 points (x1, y1( and (x2, y2) is
(x1 + x^2) / 2 , (y1 + y2)/2.
So if (x, y) are the coordinates of B we have:
(7 + x)/2 + (2 + y)/2 = 5 + 6
So 7 + x = 2*5 so x = 3
AND 2 + Y = 12 SO y = 10.
what is the square root of 169
Answers
Answer: 13
Step-by-step explanation:
Solve for y: LaTeX: \frac{y}{11} = 8
GIVING BRAINLIST!!!
Answers
Answer:
y = 88
Step-by-step explanation:
(I'm assuming that by \frac{y}{11} you mean y/11)
You can solve this by multiplying by 11 on both sides. y/11 = 8, so if you multiply by 11 on both sides, you get that y = 8 * 11, so y = 88
Last week, Jay had $217 in the bank, but this week, Jay is $28 in debt. Write an equation that describes that situation.
Answers
Answer:
?
Step-by-step explanation:
Answer:
217-245=-28
Step-by-step explanation:
Add $28 to $217, which is $245. Then subtract 245 from 217.
Solve for y. 1 y – 1 3y + 7 10 y E
Answers
Answer:
[tex]y = \frac{17}{7}[/tex]
Step-by-step explanation:
1) To solve this question easily, cross multiply first. Multiply the denominator of the first fraction by the numerator of the second fraction, and multiply the denominator of the second fraction by the numerator of the first fraction:
[tex]\frac{y-1}{3y+7}=\frac{1}{10}\\1(3y+7) = 10(y-1)\\3y + 7 = 10y-10[/tex]
2) Now, solve like you would and isolate y. Subtract both sides by 10y.
[tex]3y + 7 = 10y-10\\-7y + 7 = -10[/tex]
3) Then, subtract both sides by 7.
[tex]-7y + 7 = -10\\-7y = -17\\[/tex]
4) Finally, divide both sides by -7 to receive the answer.
[tex]-7y = -17\\y = \frac{-17}{-7} \\y = \frac{17}{7}[/tex]