Which similarity statement is true?
ASRQ - ATRS
ASRQ - ARTQ
ASRQ - ARTS
ASRQ-AQRT
Answers
Answer:
It would be B (The 2nd option)
Step-by-step explanation:
The two triangles that can be considered similar are RTQ and SRQ. These two have one right angle and share angle Q, make them similar by AAA.
Both the 2nd option and the 4th option mention these triangles, but the triangles are not named correctly in the 4th option.
The similarity statement that is true is
ΔSRQ - ΔRTQ
The correct option is B.
What is congruent?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
The two triangles that are similar are RTQ and SRQ. According to the AAA (Angle-Angle-Angle) similarity criterion, since they share two congruent angles, ∠RTS and ∠STQ, they must be similar. Therefore, we can write:
ΔRTQ ~ ΔSRQ
This similarity statement means that triangle RTQ is similar to triangle SRQ. So, we can use the corresponding parts of similar triangles to write:
SR / RT = SQ / TQ = RQ / RQ
where SR, RT, SQ, TQ, and RQ are the corresponding side lengths of the two triangles.
Since RQ / RQ = 1, we can simplify the above equation to:
SR / RT = SQ / TQ
This means that the ratios of the corresponding side lengths of the two triangles are equal. We can use this to find the true similarity statement:
ΔSRQ ~ ΔRTQ
So, the correct similarity statement is:
ΔSRQ - ΔRTQ.
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Related Questions
If two legs of a right triangle are 2 inches and 3 inches, can the hypotenuse be 4 inches? Justify your answer.
Answers
Answer:
No
Step-by-step explanation:
2^2+3^2 = 13, and 4^2 = 16.
9514 1404 393
Answer:
No
Step-by-step explanation:
The only Pythagorean triple that is three integers in sequence is 3, 4, 5.
2, 3, 4 is not a Pythagorean triple (will NOT form a right triangle).
__
A 2-3-4 triangle is an obtuse triangle.
John works for a company that cuts down dead trees for the city. He needs to determine the height of the tree to ensure safety. He chooses a point 10 m from the base of the tree. From this point, the angle of elevation to the top of the tree is 46°. Determine the height of the tree to the nearest tenth of a meter.
Answers
Answer:
10.4m
Step-by-step explanation:
We solve the above question using the Trigonometric function of Tangent.
The formula is given as:
tan θ = Opposite/Adjacent
θ = Angle of Elevation = 46°
Opposite = Height of the tree = x
Adjacent = Distance from the base of the tree = 10m
Hence:
tan 46 = x/10
Cross Multiply
x = tan 46 × 10
x = 10.355303138m
Approximately to the nearest tenth = 10.4m
Four puzzles that were manufactured contained a total of 420 pieces. The next 6 puzzles contained a total of 630 pieces. If the relationship between the number of puzzles and the total number of puzzle pieces continues to be proportional, which could be the missing entries in the table?
Answers
Answer: B.) 8 Puzzles and 840 pieces
Two sides of a rectangle have lengths 5 and 8. What is the perimeter
Answers
Answer: 26
Step-by-step explanation: 2 sides are 8 and 2 sides are 5. 5 plus 5 equals 10 and 8 plus 8 equals 16. Finally, 16 plus 10 is 26. Hope this helps! And I would really appreciate getting brainliest if I get it it right!
Answer
i think 1600
Step-by-step explanation:
it maybe 1600 bc if you times 5 and 8 two times you get that answer i am not smart but maybe
Hello will someone please help me with this i really need it!!
Answers
Answer:
It was the withdrawal of the Union troops from the South.
Step-by-step explanation:
The South could go back to blatant mistreatment and practically slavery without the oversight of the Northern troops- so all of the progress that was made was for nothing. That was when Reconstruction ended.
2
Select the correct answer from each drop-down menu.
Simplify the given polynomial and use it to complete the statement.
(-512 – 2x + 4) + (872 – 1 – 1) - (x + 2) (1 – 5)
The polynomial simplifies to an expression that is a
with a degree of
Reset
Next
Pretty sure the problem above is wrong so refer to the picture of your trying to solve thx!!
Answers
Answer:
[tex]2x^2+13[/tex]
Step-by-step explanation:
Given
[tex](-5x^2-2x+4)+(8x^2-x-1)-(x+2)(x-5)[/tex]
Required
Simplify
Expand brackets
[tex](-5x^2-2x+4)+(8x^2-x-1)-(x^2-5x+2x-10)[/tex]
[tex](-5x^2-2x+4)+(8x^2-x-1)-(x^2-3x-10)[/tex]
Open all brackets
[tex]-5x^2-2x+4+8x^2-x-1-x^2+3x+10[/tex]
Collect Like Terms
[tex]-5x^2+8x^2-x^2-2x-x+3x+4-1+10[/tex]
[tex]2x^2+13[/tex]
Hence, the polynomial simplifies to [tex]2x^2+13[/tex] and it has a degree of 2
x/3 - 1/2 = 10
show work
Answers
Answer:
x = 63/2
Step-by-step explanation:
x /3 = 21 /2
3 . x/3 = 3 . 21/2
x = 63 /2
kristen is building a pattern using triangles, the table shows the number of triangles in the first 4 terms of that pattern. which formula describes the number of triangles in the nth term of the pattern.
A. n=t+2
B.n=t+3
C. n=2t-1
D. n=2t + 3
Answers
Answer:
its C. im doing test to i saw different page
Step-by-step explanation:
diff pge
8, 6, 4, 2, 0, ...
The first 5 terms of a linear sequence are shown above.
What is the 100th term in the sequence?
Answers
9514 1404 393
Answer:
-190
Step-by-step explanation:
The n-th term of an arithmetic (linear) sequence is given by ...
an = a1 +d(n -1)
where a1 is the first term (8) and d is the common difference. We note that each term is 2 less than the one before, so the common difference is -2.
an = 8 -2(n -1)
Then the 100th term is ...
a100 = 8 - 2(100 -1) = 8 -198 = -190
The 100th term is -190.
A bottle contains 15 marbles: 9 are white and 6 are green. What is the
probability of picking a white?
Answers
Answer: 3/5
Step-by-step explanation:
Fist find out how many whites are there and divide it by the total to find the probability.
9/15 simplify it to 3/5
WILL mark brainliest
Answers
Answer:
do u have to find the pattern?
Step-by-step explanation:
NEED ANSWER ASAP PLEASE!! WILL GIVE BRAINLIEST
The number of weekly social media posts varies directly with the square root of the poster's age and inversely with the cube root of the poster's income. If a 16-year-old person who earns $8,000 makes 64 posts in a week, what is the value of k?
Answers
Answer:
k= 320
.................
1. What is the smallest decimal in hundredths rounded to 0.5?
Answers
Answer: 0.45!
Step-by-step explanation:
The smallest decimal in hundredths rounded to 0.5 is 0.45 and this can be determined by using the rules of rounding off to the nearest hundredths.
Given :
Number - 0.5
Rules for rounding off to the nearest hundredths are:
Rule 1 - When a number is rounded off to the nearest hundred remember that the digit at tens place is in between 0 to 4 then replace that digit by 0.
Rule 2 - When a number is rounded off to the nearest hundred remember that the digit at units place is greater than or equal to 5 then replaced tens place digit by 0 and hundreds place digit is increased by 1.
So, according to the rules, the smallest decimal in hundredths rounded to 0.5 is 0.45.
For more information, refer to the link given below:
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An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream a customer gets to choose a cone and a type of ice cream how many events are described
Answers
Answer:
2 events are described.
Step-by-step explanation:
Because only three types of cones and 31 flavours of ice cream.
A store pays $100 for a barbecue grill and marks the price up by 7%. What is the amount
of the mark-up?
Answers
Answer:
$7
multiply .07 times 100
2:4:2 in simplest form ratio
Answers
Answer: 1 : 2 : 2
Step-by-step explanation:
2 : 4 : 2 divided by 2 is 1 : 2 : 2 so they're equivalent.
I NEED HELP ASAP PLEASE DONT JUST TYPE FOR POINTS ACTUALLY HELP MEE
Answers
Answer:
i think it's A but don't quote me on it
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
In an on-line survey, a school learns that 77 of 100 parents prefer to receive the newsletter electronically. How many paper newsletters would the school estimate are needed if there are 650 parents?
Answers
77% of 650 is 500.5.
23% of 650 is 149.5.
650/100 = 6.5
6.5x77 = 500.5
6.5x23 = 149.5
It's best to round that figure up to 150 as there will not be a parent who only needs half of the newsletter.
The number of paper newsletters the school needed is given by the equation A = 149.5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of paper newsletters the school needed be A
Now , the equation will be
The percentage of parents who prefers newsletters electronically = 77 %
So , percentage of parents who prefers paper newsletters = 100 % - 77 %
The percentage of parents who prefers paper newsletters = 23 %
The total number of parents = 650
So , the number of paper newsletters the school A = percentage of parents who prefers paper newsletters x total number of parents
Substituting the values in the equation , we get
The number of paper newsletters the school A = ( 23/100 ) x 650
The number of paper newsletters the school A = 149.5
Therefore , the value of A is 149.5
Hence , the equation is A = 149.5
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A florist was looking at her flower order. The ratio of roses to sunflowers was 4 to 9. When she was done, she realized there were 65 MORE sunflowers than roses. How many of each flower was there?
Answers
Answer:
[tex]52[/tex] roses and [tex]117[/tex] sunflowers
Step-by-step explanation:
Since the ratio of roses to sunflowers is [tex]4:9[/tex], we can represent how many there are of each as [tex]4x[/tex] and [tex]9x[/tex], respectively. We know that there are [tex]65[/tex] more sunflowers than roses, so we can set up the following equation to solve for [tex]x[/tex]:
[tex]4x+65=9x[/tex]
Solving for [tex]x[/tex], we get:
[tex]4x+65=9x[/tex]
[tex]4x+65-4x=9x-4x[/tex] (Subtract [tex]4x[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]65=5x[/tex] (Simplify)
[tex]5x=65[/tex] (Symmetric Property of Equality)
[tex]\frac{5x}{5}=\frac{65}{5}[/tex] (Divide both sides of the equation by [tex]5[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=13[/tex] (Simplify)
Therefore, since [tex]x=13[/tex], we know that there are [tex]4x=4*13=52[/tex] roses and [tex]9x=9*13=117[/tex] sunflowers. Hope this helps!
Gary wants to buy a video game with a selling price of 48 on sale for 50% off the sales tax in his state is 4.5% how much will Gary have to pay in all?
Answers
Answer:
$25.08
Step-by-step explanation:
48/2= 24(50% of 100% simplifies to 1/2)
24(0.045)=1.08
24 + 1.08 = 25.08
Which expression is represented by 12^6?
A. 12 × 6
B. 126
C. 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6
D. 12 × 12 × 12 × 12 × 12 × 12
Answers
Answer:
D
Step-by-step explanation:
12*12*12*12*12*12= 2985984
12^6= 2985984
Answer:
You have to use the formula 12>6
Step-by-step explanation:
12x6=x
126
12x`12x12x12x12x12x12x12 add all the sums up and get yuor answer.
Thanks
What is the gradient of the blue line?
Answers
Answer:
gradient = - 5
Step-by-step explanation:
Calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line
m = [tex]\frac{0-5}{-1+2}[/tex] = [tex]\frac{-5}{1}[/tex] = - 5
Look at the picture!
Please I need help!
Answers
15/x = 5/6
Plz help me solve this proportion of multiplication plz help
Answers
Step 1: Cross-multiply.
15 /x = 5 /6
(15)*(6)=5*x
90=5x
Step 2: Flip the equation.
5x=90
Step 3: Divide both sides by 5.
5x /5 = 90 /5
x=18
Answer:
x=18
Answer:
x=18
Step-by-step explanation:
divide 15 by 5/6= 15 times 6/5, simplify, 3 times 6, simplify, 18
give the other person brainliestt
a cell phone company charges one $20 for the phone and then $35 a month for phone service another cell phone company charges 55 a month for phone service with a free phone after how many months will the phone services cost the same
Answers
20 + 35x = 0 + 55x
- The output of a function is 3 less than 6 times the
input. Find the input when the output is 15.
Answers
Answer:
(15+3)/6= the input
18/6= 3
since the output is three less than 6x the input, you need to add three. and if the output is 6 times the input after adding three, you have to divide by 6 to find out what the input originally was. you can check it by doing:
6*3= 18
and 18-3= 15 so it checks out.
Step-by-step explanation:
I hope this helps :)
Can someone help me please
Answers
Answer:
0.5333
Step-by-step explanation:
Between numbers 1 and 15 there are 8 odd numbers..
so 8/15 , and in decimal form ut is 0.5333
Writer the ratio in 3 ways 4 books for every 25 shelves
Answers
Answer:
400:2500 , 40:250 ,and 4:25
1
Mary and Darryl are selling flower bulbs for a school fundraiser. Customers can buy bags of
windflower bulbs and bags of daffodil bulbs. Mary sold 10 bags of windflower bulbs and 4
bags of daffodil bulbs for a total of $226. Darryl sold 6 bags of windflower bulbs and 4 bags of
daffodil bulbs for a total of $166. What is the cost each of one bag of windflower bulbs and
one bag of daffodil bulbs?
Answers
Answer:
15 windflower bulbs
19 daffodil bulbs
Step-by-step explanation:
Given
Represent windflower with W and daffodil with D.
So:
Mary's sales is:
10W + 4D = 226 --- (1)
Darryl's sales is:
6W + 4D = 166 ---- (2)
Required
Solve for W and D
We'll make use of elimination method.
Start by subtracting (2) from (1)
10W - 6W + 4D - 4D = 226 - 166
4W = 60
Multiply both sides by ¼
¼ * 4W = 60 * ¼
W = 60 * ¼
W = 15
Substitute 15 for W in (1)
10W + 4D = 226
10 * 15 + 4D = 226
150 + 4D = 226
Collect like terms
4D = 226 - 150
4D = 76
Multiply both sides by ¼.
¼ * 4D = 76 * ¼.
D = 19
which statement and reason best complete the proof
Answers
Answer:
Segment EG ≅ segment EG by the reflexive property.
Step-by-step explanation:
In the diagram given, already, two angles (<H and <HEG) of ∆HEG has been stated to be equal to two corresponding angles (<F and <FGE) of ∆FGE.
To prove that ∆HEG is congruent to ∆HEG by the Angle-Angle-Side Congruence Theorem, we need to state that they also have one corresponding side that is congruent.
Therefore, the statement and reason that will complete the proof would be:
Segment EG is congruent to segment EG by the reflexive property.
Both triangles share the same segment, EG. This completes the proof.