answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nadusha1986 [10]
2 years ago
5

A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection ac

ross th

Mathematics
2 answers:
quester [9]2 years ago
8 0
The correct answer is " (1) Reflect ABC across the x-axis and call this new triangle A'B'C'. (2) <span>Translate A'B'C' 2 units right and 6 units up so that its image is A''B''C''. "
</span>
It is assumed that the points are
A in ABC is (1,9), B in ABC is (3,12), and C in ABC is (4,4). 

<span>A'' in A''B''C'' is (3,-3), B'' in A''B''C'' is (5,-6), and C'' in A''B''C'' is (6,2).</span>

Both triangles are congruent. Since they are congruent, there are no contractions nor dilations occured. After rotating clockwise, we get A"C"B". So we need to reflect it to get A"B"C"
Varvara68 [4.7K]2 years ago
6 0

Answer:

Reflection across the line x = -3

Reflection across the line y = x

Step-by-step explanation:

You might be interested in
Bruce's speed when swimming in still water is 5 meters/second. He is swimming in a direction 25° east of north. The current is m
Vsevolod [243]

Answer:

<2.1130913087, 4.53153893518>;  <−3.03108891325, −1.75>; <−0.91799760455, 2.78153893518>

Step-by-step explanation:

Bruce's vector is <5cos(90-25), 5sin(90-25)> = <5cos(65), 5sin(65)> ≈ <2.1130913087, 4.53153893518>

The wind's vector is <3.5cos(270-60), 3.5sin(270-60)> = <3.5cos(210), 3.5sin(210)>  ≈ <−3.03108891325, −1.75>

You add them together to find his actual motion:

<−0.91799760455, 2.78153893518>

7 0
2 years ago
Isosceles △ABC (AC=BC) is inscribed in the circle k(O). Prove that the tangent to the circle at point C is parallel to AB .
timofeeve [1]

Explanation:

Let M be the midpoint of AB. Then CM is the perpendicular bisector of AB. As such, center O is on CM, and OC is a radius (and CM). The tangent is perpendicular to that radius (and CM), so is parallel to AB, which is also perpendicular to CM.

If you need to go any further, you can show that triangles CMA and CMB are congruent, so (linear) angles CMA and CMB are congruent, hence both 90°.

5 0
2 years ago
52.46 round to the nearest one
kykrilka [37]
To the nearest would be about 52
7 0
2 years ago
Read 2 more answers
For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7
Sloan [31]

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k $

Also

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

I think you mean 210x^6y^4

We can deduce that this term will be located somewhere in the middle. So I will calculate k= 5; k=6 \text{ and } k =7.

For k=5

$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just x^{n-k} y^k

For k=6

$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$

5 0
2 years ago
What is the length of ac?
leonid [27]

Answer:

Step-by-step explanation:

Given triangles are similar, so we setup a proportion  

(140-x)/81 = x/9

solving gives x = 14

AC = 140-x = 140-14 = 126

7 0
2 years ago
Read 2 more answers
Other questions:
  • A radio station spends 1/40 of each 24 hours on public service announcements. How much time is spent on public service announcem
    14·2 answers
  • If a baker doubles a recipe that calls for 6-2/3 cups of flour. How many cups will be needed in all?
    6·2 answers
  • A direct variation function contains the points (2,14) and (4,38) which equation represents the function
    13·1 answer
  • The vertex of a parabola that opens downward is at (0, 4). The vertex of a second parabola is at (0, –4). If the parabolas inter
    11·2 answers
  • A barbershop requires appointments for perms and hair cuts. Ten percent of those making appointments cancel or simply fail to sh
    10·1 answer
  • To plan the budget for next year a college must update its estimate of the proportion of next year's freshmen class that will ne
    14·1 answer
  • Trapezoid GHJK was rotated 180° about the origin to determine the location of G'H'J'K', as shown on the graph. What are the coor
    10·2 answers
  • Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and surrounded by packaging material. The
    10·1 answer
  • Which charts or graphs always use axes both labeled with quantitative values and show individual points of data, meaning that ea
    5·2 answers
  • Suppose you are producing an outdoor festival. You estimate that you will make $150000 if it does not rain and make $50000 if it
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!