Answers
9514 1404 393
Answer:
a) yes; 12/15/17 ~ 20/25/x; SAS
b) x = 28 1/3
Step-by-step explanation:
The left-side segments are in the ratio ...
top : bottom = 12 : 8 = 3 : 2
The right side segments are in the ratio ...
top : bottom = 15 : 10 = 3 : 2
These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.
Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:
12/15/17 ~ 20/25/x
__
The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:
x = 17/12 · 20 = 340/12
x = 28 1/3
Related Questions
A book contains 120 pages and each page 35 lines how many pages will the book contains if every page has 24 lines
Answers
Answer:
If there will be 24 lines on all pages, there will be 175 pages in the book
Step-by-step explanation:
First we have to find out how much lines does the book have in total, so we multiply the number of pages by the number of lines on the page. So we get.....
120 x 35 = 4200
Now in order to find out how much pages will the book have when a page will have 14 lines we divide the number of lines by 24 and we get......
4200 / 24 = 175
combine like terms to simplify each expression. 1: 3/4z(3)+4-1/4z(3). 2: 3.4m+2.4m. 3: 4.2n+5-3.2n. 4: q(5)+q(5)+q(5). 5: 3x+1/4+2y+1/4+7x-y. 6: 1.5z(2)+4.5+6z-0.3-3z+z(2)
Answers
Explanation and steps to the expressions are marked in order in the images below.
1. Answer is 3z/2 + 4
2. Answer is 5.8m
3. Answer is n + 5
4. Answer is 15q
5. Answer is 10x + 1/2 + y
6. Answer is 8z + 4.2
The maximum is five images, so I cannot add the last explanation and steps for the last expression.
Decide if the statement is giving you the x or y value of the function
Answers
Answer: 1a. f(2) is an x-value
1b. f(x) = 4 is a y-value
1c. f(-10) is an x-value
1d. m(x) = 64 is a y-value
2. f(4) = 17
3. x = 39
Step-by-step explanation: In general, if there is an equal sign, the output f(x) is a y-value. if the expression is f(#) with a number in the parentheses, that is the value to insert for x.
2.) f(x) = 2x + 9
f(4) = 2(4) + 9
f(4) = 8 + 9
f(4) = 17
3. f(x) = 5x -3
192 = 5x -3
192 + 3 = 5x
195 = 5x
39 = x
can someone help me, i also need you to explain if you can? if not, that’s ok.
Answers
Answer:
sam and eric are going on a trip and thought to rent a car. they have to pay a fee of 30 dollars and an extra 7 dollar for each hour they take. sam and eric's are planned to spend $205 or less. how many hours can eric and sam rent the car?
Step-by-step explanation:
first assign a value for the variable, I will take H as hours
Answer:
Sorry i dont know
Step-by-step explanation:
Which rules of exponents will be used to evaluate this expression? Check all that apply.
A: product of powers
B: quotient of powers
C: power of a power
D: power of a product
E: negative exponent
F: zero exponent
Answers
Answer:
A: product of powers
B: quotient of powers
E: negative exponent
Step-by-step explanation:
Let's evaluate to see which several rules we would be applying in each step
[tex] \frac{((-8)^4)^{-5}}{(-8)^6} [/tex]
[tex] \frac{((-8)^{4*-5}}{(-8)^6} [/tex] (power of a power)
[tex] \frac{(-8)^{-20}}{(-8)^6} [/tex]
[tex] (-8)^{-20 - 6} [/tex] (quotient of powers)
[tex] (-8)^{-26} [/tex]
[tex] \frac{1}{(-8)^{26}} [/tex] (negative exponent)
Thus, the rules of exponents we have applied to far are:
A: product of powers
B: quotient of powers
E: negative exponent
Answer:
product of powers
quotient of powers
negative exponent
If six people share 4 pints of lemonade equally, how much lemonade will each person receive?
Answers
Answer:
1.5
i think
Step-by-step explanation:
What is the slope of y=-4x-3y=−4x−3y, equals, minus, 4, x, minus, 3?
Answers
Answer:
-4
Step-by-step explanation:
Given:
[tex] y = -4x - 3 [/tex]
Required:
Slope of the line
SOLUTION:
The equation of the line, [tex] y = -4x - 3 [/tex], is given in the slope-intercept form, which is [tex] y = mx + b [/tex].
Where, m is the slope, and b is the y-intercept.
Therefore, the slope (m) of the line, [tex] y = -4x - 3 [/tex] is -4.
m = -4
in an 7th grade class with 80 people, seven tenths of the students wore shorts, how many students wore shorts
Answers
Answer:
56
Step-by-step explanation:
80 x (7 / 10) = 56
560/10=56
Answer: 56
Which property of equality would you use -to solve the equation math8n=16
Answers
Answer:
im not sure but i do know that the letter n would be 2
Step-by-step explanation:
Solve. x2 – 10x + 21 < 0
Answers
Answer:
(3,7)
Step-by-step explanation:
What percent of 18 is 24?
Plssss help me
Answers
Answer:
133%
Step-by-step explanation:
24 of 18 can be reduced by 6 in which is also known as 4 of 3. 4/3 is equivalent to 133%
Please hurry
In the figure, △EBA ≅ △EDC.
Triangles EBA and EDC are connected at point E. Angles A B E and E C D are right angles. Angle A E B and D E C are congruent. Sides B E and E D are congruent.
Because CPCTC, which relationships are true?
Check all that apply.
Answers
Answer:
AE ≅ CE
∠BAE ≅ ∠DCE
Step-by-step explanation:
In the figure, △EBA ≅ △EDC.
Triangles E B A and E D C are connected at point E. Angles A B E and E C D are right angles. Angle A E B and D E C are congruent. Sides B E and E D are congruent.
Because CPCTC, which relationships are true?
Check all that apply.
AE ≅ CE
∠BAE ≅ ∠DCE
∠CDE ≅ ∠BAE
AB ≅ BE
AC ≅ BD
EDGE2020
The relation which is equal Because CPCTC would be; AE ≅ CE and ∠BAE ≅ ∠DCE
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles is equal and they can be superimposed.
In the given information, △EBA ≅ △EDC.
Given that the Triangles EBA and EDC are connected at point E.
Also Angles A B E and E C D are right angles.
And Angle A E B and D E C are congruent.
The Sides B E and E D are congruent.
Hence,
AE ≅ CE
∠BAE ≅ ∠DCE
∠CDE ≅ ∠BAE
Now AB ≅ BE
AC ≅ BD
The relation which is equal Because CPCTC would be; AE ≅ CE and ∠BAE ≅ ∠DCE
Learn more about congruent triangles;
https://brainly.com/question/12413243
#SPJ2
HELP FAST PLEASE!!!
50 POINTS FOR WHOEVER ANSWERS FIRST!!!
What is the exponent in the expression 76?
a.6
b.7
c.13
d.42
Answers
Step-by-step explanation:
If you mean 7⁶, the exponent is 6. (A)
When written as a^m, a is a number and m is the exponent.
Which of the following statements best explains why this graph shows a set of points that represent a relation that is not a function of x?
Answers
There are x-values which are paired with multiple y-values.
Two 6-sided dice are rolled. What is the probability that the sum of the two numbers of the dice will be less than 6?
Answers
Answer:
I believe it would just be 5/6.
Step-by-step explanation:
In a six-sided dice, there are five numbers less than 6!
Step-by-step explanation:
sum of dice=1+2+3+4+5+6=21
sum of two sided dice=21(2)=42
sum of numbers less than 6=1+2+3+4+5=15
probability of two numbers less than 6=2/12=1/6
PLEASE HELP ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
0.96% or 1% to the nearest whole ( use the whole as for your answer )
Step-by-step explanation:
825-817 = 8
8 / 825 = 0.00969696....
x 100 = 0.96%
Ratio 54:18 and 18:6 equivalent ?
Answers
Answer:
Yess
Step-by-step explanation:
54:18 = 54/18 = 3/1 = 3:1
18:6 = 18/6 = 3/1 = 3:1
54:18 = 18:6 = 3:1 = 3:1
Thus, Both 54:18 and 18:6 are equivalent
-TheUnknownScientist
(5c^2 - 3c +9) - (2c^2 + 8c - 3)
Answers
5c^2 -3c+9-2c^2+8c-3
And then you combine like terms and you should end up with
3c^2-11c+12
Hope it helps!
Can someone pleaseeeeeeeeeee solve these for me
Answers
Answer:
16. (See the attachment)
Step-by-step explanation:
None
Ruby’s homework covers multiplication with the powers of 10 the first question on her homework is 82.6 x 10 to the power of 2 what is the value of expression?
Answers
Answer:
826
Step-by-step explanation:
82.6 x 10 to the power of 2 :
8.26 * 10^2
8.26 * (10 * 10)
8.26 * (100)
= 826
This is under the Category Exponent Rules (Variable and Coefficients)
Help Simplify (−10x^2)(-2x^4)
Answers
Answer:
20x^6
Step-by-step explanation:
multiply bases and add exponents
1/3x-2=16 solve the equation
Answers
Explained: easy mental math :p
Answer:
x=54
Step-by-step explanation:
1/3 x 54 = 18, 18 - 2 = 16
:)
A store is having a sale where everything is discounted 30%. Find the discount and the sales price if a customer buys an item that normally sells for $365.
Answers
Answer:
The discount is $109.50 and the sales price is $155.50
Step-by-step explanation:
30% of 365 is 109.5
356-109.5=155.5
I need help thank you.
Answers
Answer:
x ≤ 1
Step-by-step explanation:
The graph goes in the left direction, meaning the inequality needs to be less than.
The point is at the point positive 1 and has a shaded dot, meaning the inequality needs to be less than or equal to 1.
Answer:
B
Step-by-step explanation:
x ≤ 1
As thee circle at 1 is filled,you have to include 1 also
Pls answer need help asap!!
Answers
help meeeeeeennsndnxncnvn
Answers
Answer:
12 oz (1) has the lowest
Step-by-step explanation:
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PLEEAAASE HELPPPPP
Distance = ________ x time
A. flow
B. rate
C. work
Answers
Answer:
B:rate
Step-by-step explanation:
the formula distance= rate × time
Answer:
B
Step-by-step explanation:
The formula for distance is rate × time.
Flow and work don't make sense. Also, work is force × distance.
However, you were given rate is equal to distance/time (r=d/t) and were asked to find what distance would be:
in that case, we'll isolate d onto one side
here's the equation
r=d/t
multiply by t on both sides
rt=d, or rate × time equals distance
either way it's B
Hope this helps!
for question 8. Determine whether the triangles are similar. If similar, state how (AA, SSS, or SAS), and write a similarity statement.
Answers
9514 1404 393
Answer:
yes, SAS
Step-by-step explanation:
Two sides are given, either side of a vertical angle. So, the angles are the same. If the sides are proportional, the similarity will be by SAS (two sides, either side of an angle).
The ratios of short to long sides are ...
39/52 = (3·13)/(4·13) = 3/4
63/84 = (3·21)/(4·21) = 3/4
The sides are proportional and the angle between them is congruent, so ...
the triangles are similar by SAS.
What is 0.80 as a fraction?
Answers
Answer:
just type it into ur web browser and you can get the answer
Step-by-step explanation:
thats what i do <3
What are the vertices of triangle A'B'C' produced by (x, y) -> (x+5, y-2)?
Answers
Answer:
The vertices of triangle A'B'C' produced by (x, y) → (x+5, y-2) will be:
A'(8, -2) B'(8, 0) C'(5, -5)Step-by-step explanation:
Given the vertices of an original triangle ΔABC such that
A = (3, 0)B = (3, 2)C = (0, -3)As the rule of translation is given by
Translation: (x, y) → (x+5, y-2)
So, after the translation the vertices of the original triangle ΔABC will be translated as:
A = (3, 0) → (x+5, y-2) ⇒ (3+5, 0-2) = A'(8, -2)
B = (3, 2) → (x+5, y-2) ⇒ (3+5, 2-2) = B'(8, 0)
C = (0, -3) → (x+5, y-2) ⇒ (0+5, -3-2) = C'(5, -5)
Therefore, the vertices of triangle A'B'C' produced by (x, y) → (x+5, y-2) will be:
A'(8, -2) B'(8, 0) C'(5, -5)