The reflection transformation in the question is a rigid transformation,
therefore, the image and the preimage are congruent.
The statements that are true are;
AB = RS∠ABC ~ ∠RSTΔABC = ΔRSTm∠BAC = m∠SRTReasons:
The given parameter are;
Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST
Required:
To select the true statements
Solution:
A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.
Therefore;
AB = RS
BC = ST
AC = RT
Given that the image formed by a reflection is congruent to the preimage, we have;
ΔABC ≅ ΔRST
∠ABC ≅ ∠RST
m∠ABC = m∠RST by the definition of congruency
∠BCA ≅ ∠STR
m∠BCA = m∠STR by the definition of congruency
∠BAC ≅ ∠SRT
m∠BAC = m∠SRT by the definition of congruency
Therefore, the true statements are;
AB = RS; Image formed by rigid transformation∠ABC ~ ∠RST; Definition of similarityΔABC = ΔRST; By definition of congruencym∠BAC = m∠SRT; by the definition of congruencyLearn more here:
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I need help asap pls I am begging!!!!!
Answer:
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how would I solve this??
Answer:
y = 140
Step-by-step explanation:
you'd do:
y=25(7)-35
y=175-35
y=140
to double-check your math:
140 = 25(7)-35
both sides will equal 140 (or the same value) if done properly
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 95 miles per hour. The westbound train
travels at 85 miles per hour. How long will it take for the two trains to be 432 miles apart?
Do not do any rounding.
Find the inverse function in slope-intercept form (mx+b):
f(x)=2x-8
Answer:
[tex]\sf f^{-1}(x) = \dfrac{x}{2}+4[/tex]
Step-by-step explanation:
A function is given to us and we need to find the inverse of the function in slope intercept form . The given function is ,
[tex]\sf\implies f(x) = 2x - 8 [/tex]
Let us assume that y = f(x) , so that ,
[tex]\sf\implies y = 2x - 8 [/tex]
Now interchange the positions of x and y , we have ,
[tex]\sf \implies x = 2y - 8[/tex]
Solve for y in terms of x ,
[tex]\sf \implies 2y = x + 8 \\\\\sf\implies y =\dfrac{x}{2}+4 [/tex]
This is the inverse of the function in slope intercept form. Now we can replace this y with f-¹(x) , as ,
[tex]\sf \implies \boxed{\pink{\frak{f^{-1}(x) = \dfrac{x}{2}+4}}}[/tex]
How much is 9396 divided by 18? Use partial quotients to answer.
Answer:
9396/18 is 522
how do you do this please help
Answer: can u be more direct plz
Step-by-step explanation:
help me!!! 20 points
Answer:
k is 3 or 15/2
Step-by-step explanation:
because it have two equation
brainlist please
6 find the missing length
Answer:
C) 143
Step-by-step explanation:
GL/FL = NL/ML
36/39 = 132/ML
39/36 = ML/132
(39/36) x 132 = ML
143 = ML
Hope This Helps! •v•
When adding the numbers 4+9+7+6+3 you can make one group of 10.True or False
Answer:
false
Step-by-step explanation:
there are 20 girls in the school choir. 15% of them wear glasses. how many girls in the choir wear glasses?
Answer:
3 wear glasses
Step-by-step explanation:
10%=2
5%=1
15%=3
A local charity is making fruit baskets for elderly citizens in the neighborhood. Each basket will have 15 pieces of fruit. They bought 1,620 pieces of fruit total.
Answer:
They can have 108 baskets each with 15 pieces of fruit
Step-by-step explanation:
Write an algebraic expression for three times the sum of the first two multiples of four.
what is the answer to∠X≅∠X
Answer: ∠A ≅ ∠A; reflexive property
Step-by-step explanation: found it online :)
Ben said: For every $60 the sixth graders plan to raise, the seventh graders
plan to raise $90. He looks at the principal's thermometers and sees that
$60 is at the same place on the sixth-grade thermometer as $90 is on
the seventh-grade thermometer.
Ben also makes the claim: For every $30 the sixth graders plan to raise,
the seventh graders plan to raise $45.
Do you agree with this claim? Explain your reasoning.
Answer:
yes
Step-by-step explanation:
for every 60 is 90 right so if you take 30 ( half of 60) how much are the 7th graders gonna raise half of 90 is 45 (may I please have brainliest I need it to rank up)
Which angle is not necessarily congruent to 1?
Answer:
12
Step-by-step explanation:
the answer is just 12.
If an area of a circle is 65.71cm*2 what is the radius? Round the answer to 2DP.
Answer:
4.57
Step-by-step explanation:
square root of 65.71 divided by pie
70 = 19 - 3x
what does x equal?
Step-by-step explanation:
→ 70 = 19 - 3x
→ - 19 + 70 = -3x
→ 51 = -3x
→ -3x = -51
→ x = -51/3 = -17
→ x = -17
therefore, value of x is -17.
hope this answer helps you dear!
Answer:
[tex]\boxed{\bf x=-17}[/tex]
Step-by-step explanation:
[tex]\bf 70=19-3x[/tex]
[tex]\bf 19-3x=70[/tex]
[tex]\boxed{\bf Subtract \: 19\: from\: both\: sides:}[/tex]
[tex]\bf 19-3x-19=70-19[/tex][tex]\bf -3x=51[/tex][tex]\boxed{\bf Divide \: both\:sides\: by -3:}[/tex]
[tex]\bf \cfrac{-3x}{-3}=\cfrac{51}{-3}[/tex][tex]\bf x=-17[/tex]PLEASE HELP , WILL GIVE A BRAINLY. What is the domain of the function?
Answer: I believe it is a. Sorry if I am incorrect
Step-by-step explanation:
Functions assign outputs to inputs. The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
helppppppppppppppppppppp
Answer:
[tex] \frac{ {x}^{2} + - 4x - 2 }{ {x}^{2} - 4 } + \frac{8x + 6}{{x}^{2} - 4} \\ = \frac{ {x}^{2} + - 4x + 8x - 2 + 6 }{ {x}^{2} - 4 } \\ = \frac{ {x}^{2} + 4x + 4 }{ {x}^{2} - 4 } \\ = \frac{ {(x + 2)}^{2} }{(x - 2)(x + 2)} \\ = \frac{x + 2}{x - 2} [/tex]
Determine if I Il m based on the information given on the diagram. If yes, state the converse that
proves the lines are parallel.
Answer:
I believe, that they are parallel because they both have 90° angles meaning that the other angle has to be 90° as well. I dont really know how to explain it but they are both in the same position and have 90° angles im not the best with these. •So im not exactly sure if this is correct though.
-They also have corresponding and congruent angles that do match up, so yes they are parallel to eachother
Brad's science class is heading to Skylight Observatory on a field trip. The observatory offers
a group rate for students that is $4 less per person than the normal cost. There are 27
students in Brad's science class. His teacher called ahead and found that the total cost for the
class will be $378. What is the normal cost per person?
Answer:
$18
Step-by-step explanation:
378 ÷ 27 = 14
14 + 4 = 18
The normal cost per person = $18
The normal cost per person is $18.
Given,
Brad's science class is heading to Skylight Observatory on a field trip.
The observatory offers a group rate for students that is $4 less per person than the normal cost.
There are 27 students in Brad's science class.
The total cost for the class is $378.
We need to find the normal cost per person.
How do we equally find the cost of each item from the total cost?We divide the total cost by the number of items.
Example:
7 bags cost $49
1 bag cost = $49 / 7 = $7
We have,
The number of students = 27
The total cost of the class trip with the offer = $378
Offer = $4 less than the normal cost per student
Now,
The offer cost for each person:
= $378 / 27
= $14
The normal cost for each person:
= $14 + $4
= $18
Thus the normal cost per person is $18.
Learn more about finding the normal cost for an individual here:
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#SPJ2
Find x and y please!! I’m desperate!!!
Answer:
x = 4
y = 2
Step-by-step explanation:
the third angle of the triangle
180 - (148 + 18) = 14º
Therefor
3x + y = 14
5x - y = 18
Add the equations
8x = 32
Divide both sides by 8
x = 4
Plug in x = 4
3(4) + y = 14
12 + y = 14
y = 2
9514 1404 393
Answer:
(x, y) = (4, 2)
Step-by-step explanation:
The triangles are similar by AA similarity, so the corresponding angles are congruent.
5x -y = 18 . . . . . . unmarked angles are congruent
18 +(3x+y) +148 = 180 . . . . . sum of angles in a triangle is 180°
__
After subtracting 166 from both sides, the second equation simplifies to ...
3x +y = 14
Adding this to the first equation gives ...
8x = 32
x = 4 . . . . . . divide by 8
Then substituting for x in the first equation gives ...
5(4) -y = 18
20 -18 = y = 2
The values of the variables are x = 4, y = 2.
_____
The angle marked with a double mark is 14°, given by the simplified second equation.
How much are US dollars worth in Japan
Answer:
A US dollar is worth almost 114.34 Yen in Japan.
Step-by-step explanation:
( Yen is the currency they use in Japan )
Answer:
1 us dollar = 114.30 Japanese Yen
100 us dollars = 11430.65 Japanese Yen
Step-by-step explanation:
hope this helps
Write as a decimal: two and three-tenths =
Answer:
2.3 is ur answer
Step-by-step explanation:
Answer:
2.3
Step-by-step explanation:
the interweb said so
Compute $\frac{3}{4}\cdot \frac{8}{9}\cdot \frac{15}{16}\cdot \frac{24}{25}\cdot \frac{35}{36}\cdot \frac{48}{49}\cdot \frac{63}{64}\cdot \frac{80}{81}\cdot \frac{99}{100}$. Express your answer in the simplest way possible.
(Suggestion: First, try computing $\frac{3}{4}\cdot \frac{8}{9},$ then $\frac{3}{4}\cdot \frac{8}{9}\cdot \frac{15}{16},$ and so on. Look for patterns.)
Answer:
[tex] \sf\frac{3}{4}\cdot \frac{8}{9}\cdot \frac{15}{16}\cdot \frac{24}{25}\cdot \frac{35}{36}\cdot \frac{48}{49}\cdot \frac{63}{64}\cdot \frac{80}{81}\cdot \frac{99}{100} \\ \implies \sf \frac{3 \times 8 \times 15 \times 24 \times 35 \times 48 \times 63 \times 80 \times 99}{4 \times 9 \times 16 \times 25 \times 49 \times 64 \times 81 \times 100} \\ \implies \sf \frac{7333035494400}{11732856791040} \ \sf \\ \implies \sf \: 0.625[/tex]
Which arrangement shows - 27 -4.1, -52and and 3 in order from least to greatest? 3 0 - 4.1. - 27 -3, -5% 0 , 0 -53 -3.-4.1, -7 27 - - 0 -53 -23.-4.1. -3 0 -4.1. - 27. -53 -3 O - hy
Answer:
-52 < -27 < -4.1 < 3
Step-by-step explanation: A negative number is lower than a positive number. The higher a negative number is the lower it is. For example 54 is greater than -54. I hope I helped! Sorry if I gave incorrect information, I didn't understand your question very much. I'm just a kid too.
Which rule describes the pattern shown?
41, 54, 67, 80, 93, 106
Choose 1 answer:
(A) Add 13.
(B) Add 15.
(C) Multiply by 6.
(D) Multiply by 8.
Answer:
add by 13 so it would be letter A
Answer:
A
Step-by-step explanation:
3 x 100 + 5 x 10 +6⋅1 + 8 x .1 + 2 x .01
100 points AND crown to right answer
Please answer this it’s very hard for me
Answer:
C, D, E, F
Step-by-step explanation:
Remember y=mxb?
m is slope and b is y-intercept
so y=2/7x-9
Remember that slope is RISE/RUN so for every 2 squares that you go up, you go 7 squares to the right.
Also remember that since your graph is going thru your Cartiesian Plane in quadrent 4, your y value in your ordered pairs will most probably be a negative.
Please see the image to help you viualize this.
Here's a question ~
p1 and p2 are points on either of the two lines
[tex]y - \sqrt{3} |x| = 2[/tex]
at a distance of 5 units from their point of point of intersection. Find the coordinates of the foot of perpendiculars drawn from p1 , p2 on the bisector of the Angle between the given lines.
Answer:
(0, 5√3/2 + 2)Step-by-step explanation:
Given is the absolute value function.
Observations:
It has a slope of ±√3 and the y- intercept of 2.There is no horizontal shift, so the the y-axis is the line of symmetry.The y-axis is also an angle bisector of the two lines.The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).
Consider the triangle AYP₂.
We know AP₂ = 5.
The angle YAP₂ is:
arctan (1/√3) = 30°The distance AY is:
AY = AP₂ cos 30° = 5*√3/2The distance from the x-axis to the point Y is:
5√3/2 + 2, added the y- intercept of the graphed linesThe coordinates of the point Y:
(0, 5√3/2 + 2)