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.
To learn more about the congruent;
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Related Questions
2) 8(x - y); user-5, and y = 2
Answers
Answer:
8(x-y);use x=5,and y=2
8(5 - 2) = 8(3) = 24
answer
24
Step-by-step explanation:
good? Brainliest?
Craig earns the same amount of money each month. His telephone bill is 1/20 of his monthly earnings, and he pays a total of $720 each year for his telephone service. How much does Craig earn each month, in dollars
Answers
Explanation:
The amount of telephone bill Craig has to pay each month: $720/12= $60
His earnings each month: $60 x 20 = $1200
Jason bought 3 shirts that each cost the same. He had a coupon for $10 off and
The spent $65 altogether. Which equation can be used to find the cost of each
shirt?
Answers
Hope this helps
fast pls I really want the answer now :D
Answers
Answer:
B) No Solution
Step-by-step explanation:
The lines must intercept in order to give you an answer. Because the lines are parallel and will never touch each other, there is no solution.
solve this .....................
Answers
Answer:
Step-by-step explanation: 3root5x^2 + 25x - 10root5 = 0
3xroot5 + 25x - 10root5 = 0 [ root x^2 = x]
28x root5 = 10 root5 [ -10root5 turns to 10 root5 when transferred to RHS]
28x root 5/root5 =10
28x=10
x = 10/28
x = 0.35
Hope it helped u,
pls mark as the brainliest
^v^
a new bank customer with $3,000 wants to open a money market account the bank is offering a simple interest rate of 1.8%....How much interest will the customer earn in 30 years....What will the account balance be after 30 years
Answers
Answer:
$91,620
Step-by-step explanation:
1.8% = $54
$3000 + $54 = $3054
$3054 × 30 = $91,620
Hope this helped!
A number cube has the numbers 1
through 6. It is rolled 48 times.
About how many times would you
expect the number cube to land on
2 or 4?
A 24
B 8
C 16
Answers
Answer:
B.) 8 times
Step-by-step explanation:
you have to expect an equal amount from each #. divide 48 by 6 (because the cube has #s 1-6) that's how you get 8.
Whats the answer? These are the answer choices.
A.The slope of function 1 is 3 greater than the slope of function 2.
B.The slope of function 1 is 9 greater than the slope of function 2.
C.The slope of function 2 is 3 greater than the slope of function 1.
D.The slope of function 2 is 9 greater than the slope of function 1.
Answers
Y varies with x. When y=39, x=3. Find the value of y when x=2
Answers
Answer:
[tex] \frac{39}{y} = \frac{3}{2} \\ y = \frac{39 \times 2}{3} \\ \boxed{y = 26}[/tex]
26 is the right answer.HELP !!!! PLEASE BRAINLIST
Answers
PLEASE PUT THEM IN ORDER :P
Answers
Answer:
Denial stage, personal behavior stressors, self fulfilling need, life situations, acceptance stage
Step-by-step explanation:
Find the value of x.
Pleaseeee helpppp
Answers
Answer:
x = 135°
Step-by-step explanation:
104 + 44 + 77 = 225
360 - 225 = 135
A square has to have 360 degrees, right? SO, all quadrilaterals have to be 360 degrees.
have a good day! :)
Because trapezoids equal 360 degrees all together
At a bake sale, David bought 3 tarts and 5 cookies, and paid $10.50. At the same prices, Lisa bought 4 tarts and 8 cookies, and paid $14.80. What was the price of a tart and the price of a cookie?
Answers
C = Cookies
David:
3T + 5C = 10.50
Lisa:
4T + 8C = 14.80
Setup as system of equations and use substitution or elimination
Elimination is easier for this case but either will give you the right answer I worked it both ways
T= cost of tarts = $2.50
C= cost of cookies = $0.60
Use the graph of the line to predict how many days
Beau needs to play Jars of Jupiter to win 300 trophies.
Input the value. Then click done.
Beau's Trophies from Playing Jars of Jupiter
320
300
280
260
240
220
200
Total Number of Trophies Won
180
160
140
120
100
Beau needs to play
? days to win
300 trophies.
80
✓ DONE
60
40
20-
0
0 1 2
6 7 8 9 10 11 12 13 14 15
Number of Days
Answers
Answer:
He should play for 12 days
Step-by-step explanation:
What does y equal when y + 12 = -26?
Answers
Answer:
[tex]y + 12 = - 26 \\ y = - 38[/tex]
-38 is the right answer.SOMEONE HELP FAST!
Consider the polynomial -4x+7x^3-5x^2+10
What is the degree of the polynomial? Explain. (1 point)
How many terms are in the polynomial? Explain. (1 point)
Write the polynomial expression in standard form.(
Answers
Answer:
Step-by-step explanation:
first lets put this in standard form to make it easier
[tex]7x^{3}[/tex] - [tex]5x^{2}[/tex] - 4x + 10
this form is the standard form (exponents go from greatest to least)
The degree in this polynomial is the highest exponent
So the degree is 3
There are 4 terms in this equation
7x^3
-5x^2
-4x
and 10
hope this helps <3
Which system of linear equations has the ordered pair (-2,8) as its solution?
Oy - 2x = 12 and x - 2y = -18
O x – 2y = 12 and y - 2x = -18
Oy + 2x = 12 and x + 2y = -18
O x + 2y = 12 and y + 2x = -18
Answers
Answer:
The solution to the system of linear equations is:
(x, y) = (-2, 8)
Hence, y - 2x = 12 and x - 2y = -18 has the ordered pair (-2,8) as its solution. Thus, option A is correct.
Step-by-step explanation:
Checking the first system of equations
y - 2x = 12
x - 2y = -18
solving the first system of equations
[tex]\begin{bmatrix}y-2x=12\\ x-2y=-18\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}y-2x=12\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2y-4x=24[/tex]
[tex]\begin{bmatrix}2y-4x=24\\ -2y+x=-18\end{bmatrix}[/tex]
adding the equations
[tex]-2y+x=-18[/tex]
[tex]+[/tex]
[tex]\underline{2y-4x=24}[/tex]
[tex]-3x=6[/tex]
[tex]\begin{bmatrix}2y-4x=24\\ -3x=6\end{bmatrix}[/tex]
solving -3x=6 for x
[tex]-3x=6[/tex]
Divide both sides by -3
[tex]\frac{-3x}{-3}=\frac{6}{-3}[/tex]
Simplify
[tex]x=-2[/tex]
[tex]\mathrm{For\:}2y-4x=24\mathrm{\:plug\:in\:}x=-2[/tex]
[tex]2y-4\left(-2\right)=24[/tex]
[tex]2y+8=24[/tex]
Subtract 8 from both sides
[tex]2y+8-8=24-8[/tex]
Simplify
[tex]2y=16[/tex]
Divide both sides by 2
[tex]\frac{2y}{2}=\frac{16}{2}[/tex]
Simplify
[tex]y=8[/tex]
Therefore, the solution to the system of linear equations is:
(x, y) = (-2, 8)
Hence, y - 2x = 12 and x - 2y = -18 has the ordered pair (-2,8) as its solution. Thus, option A is correct.
Here are the first 4 terms of a sequence.
3 11 19 27
a) (i) Write down the next term in the sequence.
(ii) Explain how you got your answer.
b) Work out the 10th term of the sequence.
Answers
Answer:
3 11 19 27 35 43 51 59 67 75 83 91 99 107
Step-by-step explanation:
keep on adding 8 to each number to get your next number
the tenth term is 107
hope this helps!!:)
help pls and thank u
Answers
Answer:
7
Step-by-step explanation:
One less than three times a number
Answers
Answer: 3n - 1
Step-by-step explanation:
n = the number
3n - 1
One less is subtracting one.
Answer:
[tex]1-3[/tex]n
Step-by-step explanation:
One less 3 times a number.
1 less is 1-.
3 times a number would be 3n.
So, we get
[tex]1-3n[/tex]
please help me please will give brainliest to
Answers
Answer:
From left to right,
1. impossible
2. unlikely
3. neither unlikely nor likely
4. likely
5. certain
Step-by-step explanation:
96/100 simplified if it can be
Answers
Answer:
24/25
Step-by-step explanation:
24/25 is 96/100 in simplest form.
Help!!!!!! Please and thanks
Answers
Answer:
HI I am back thanks for zooming in I would say your answer would be D sorry if i am wrong but that should be correct I am 98% sure. Plz let me know if it is correct or not! (Brainliest Plz)
Step-by-step explanation:
(PLz give me Brainliest)
PLZ HELP ASAP I HAVE LISTED SCREENSHOT BELOW I NEED ANSWER FAST
Answers
Answer:
i think its D
Step-by-step explanation:
The amount she wants to donate is 593, and she has 418 already so subtract that from 593 to get 175, and divide that 175 by 12.50 to get 14 days, and the solid circle means greater than or equal to 14, so it should be D.
may someone help me with this equation, please
95=20x + 5
Answers
Answer:
The answer is 9/2 or decimal form is 4.5 i gave you the work in the screenshot below hope it helps :)
Step-by-step explanation:
6 - 2 4/7 = ?
answer asap
Answers
Answer: 3 3/7
Step-by-step explanation:
6 - 2 4/7
6 is the same thing as 5 7/7
5 7/7 - 2 4/7 = 3 3/7
Melba buys 15 shirts for a total of
$60. Express this as an equation,
using 'x' as the cost of each shirt.
Then, solve the equation for the
value of 'x'.
Answers
Answer:
x = 4
Step-by-step explanation:
We need to divide:
(total cost) ÷ (number of shirts) = (cost per shirt)
$60 ÷ 15 = 4
X=4
There you go!
HELP! ASAP! WILL GIVE BRAINLIEST!!!!!
Answers
Answer: 8 is b, 5 is a, 6 is c, and 7 is b
Step-by-step explanation:
You include 1/2 tablespoon of essential oils in a solution for every 12
tablespoons of jojoba oil. What is the value of the ratio of essential oils to
jojoba oil?
Answers
The required ratio of essential oils to jojoba oil is 1:24.
Given that,
You include 1/2 tablespoon of essential oils in a solution for every 12
tablespoons of jojoba oil.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
tablespoon of essential oils = 1/2
tablespoons of jojoba oil = 12
Ratio = [1 / 2] / 12
Ratio = 1 / [2 × 12]
Ratio = 1 / 24
Thus, the required ratio of essential oils to jojoba oil is 1:24.
Learn more about ratios here:
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help me pleaseeeeeeeee
Answers
Answer:
1/12 5/12 11/12
Step-by-step explanation:
Um it was pretty obvious but...