Answers
Answer: First option (your selected answer)
Step-by-step explanation:
(rotating an object 360° will bring it to its original position)
(rotating an object 180° will turn it upside-down)
(rotating an object 90° will make it sideways)
(to calculate the scale factor, pick a point on both triangles that are of the same corner)
ex: A: (-12,12) and A': (4,-4)
(ask yourself what you need to multiply the x and y coordinates of ΔABC by to get the resulting x and y coordinates of the ΔA'B'C')
[tex]-12*-\frac{1}{3}=4\\12*-\frac{1}{3}=-4[/tex]
(you multiply -1/3 to get the x and y value of the second triangle)
(though the provided options do not display the negative scale factor, the scale factor should be negative)
ΔABC - ΔA'B'C', because ΔA'B'C' is obtained by dilating ΔABC by a scale factor of 1/3 and then rotating it about the origin by 180°
Related Questions
What is the units digit of 7⁷?
Answers
Answer:
[tex]7^{7}[/tex] = 823543
the unit position (the first) is equal to "3"
Step-by-step explanation:
Need help ASAPPPPPPP
Answers
Answer:
A) 5
Step-by-step explanation:
51+48+15x+6=180
105+15x=180
15x=75
x=5
6. Márcia cortou quatro tiras retangulares de mesma largura, cada qual de um dos lados de uma folha de papel que media 30 cm por 40 cm. O pedaço de papel que sobrou tem 68% da área da folha original. Qual é a largura das tiras? A) 5 cm B) 4 cm C) 3 cm D) 2 cm E) 1 cm 40 30 5 10 D) 10 E) 5
Answers
Answer:
b
Step-by-step explanation:
i had it
Write an inequality, in slope-intercept form, for the graph below. If necessary,
use "<=" for < or ">" for >.
Can anyone pls help ?
Answers
Given:
The graph of a linear inequality.
The boundary line passes through the points (0,-2) and (1,1), and the shaded region lies above the boundary line.
To find:
The inequality for the given graph.
Solution:
The boundary line passes through the points (0,-2) and (1,1), so the equation of the boundary line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-2)=\dfrac{1-(-2)}{1-0}(x-0)[/tex]
[tex]y+2=\dfrac{1+2}{1}(x)[/tex]
[tex]y+2=3x[/tex]
Subtract 2 from both sides.
[tex]y=3x-2[/tex]
The boundary line is a solid line and the shaded area lies above the boundary line, so the sign of inequality must be [tex]\geq [/tex].
[tex]y\geq 3x-2[/tex]
Therefore, the required inequality is [tex]y\geq 3x-2[/tex].
Answer:
y>3x-2
Step-by-step explanation:
.............................
Please help me anyone
Answers
Answer:
Quelles caractéristiques ces mots ont-ils en commun ? Cliquez sur tout ce qui s'applique.
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
Step-by-step explanation:
A cylinder has a volume of 132x cubic feet and height of 4 feet. What is the area of the base?
* Square feet
Answers
Answer:
33π square feet
Step-by-step explanation:
Volume = base area × height
132π = base area × 4
or, base area = 132π/4
or, base area = 33π
Answered by GAUTHMATH
solve the problem below
Answers
===========================================================
Explanation:
Refer to the diagram below.
There's a lot of info given to us that we don't need (and won't use).
The only key piece of info we'll really use is the fact that angle XZY is 27 degrees.
Draw in segments RU and RT to form quadrilateral TRUZ
Focusing solely on this quadrilateral, we see that the angles T and U are 90 degrees each (since the tangents are perpendicular to the radii at the point of tangency). Furthermore, we see that angle Z is 27 while angle R is x
For any quadrilateral, the four angles always add to 360 degrees
T+R+U+Z = 360
90+x+90+27 = 360
x+207 = 360
x = 360-207
x = 153
That means angle R of quadrilateral TRUZ is 153 degrees.
Furthermore, it means angle TRU is 153 degrees.
By extension, it indicates that minor arc TU is 153 degrees.
That makes arc TSU = 360 - (minor arc TU) = 360 - 153 = 207 degrees
By Joining TR and UR we got 2 right angles and a Quadrilateral
now
In a Quadrilateral sum of angles=360°
[tex]\\ \large\sf\longmapsto x+90+90+27=360[/tex]
[tex]\\ \large\sf\longmapsto x+180+27=360[/tex]
[tex]\\ \large\sf\longmapsto x+207=360[/tex]
[tex]\\ \large\sf\longmapsto x=360-207[/tex]
[tex]\\ \large\sf\longmapsto x=153°[/tex]
<TSU =360-153=207°Please hurry I will mark you brainliest
What is the value of p in the equation of the line px + 2y + 8 = 0, so that the x-intercept is 4?
Answers
Answer:
p = -2
Step-by-step explanation:
px + 2y + 8 = 0
px + 2y = -8
p(4) = -8
p = -2
What is the measure of
Answers
(a) The radius of a circle is 5.6 cm. Find the angle in degrees subtended by an arc of 22 cm at the
centre of the circle.
DO NO A PLEASE
Answers
Answer:
225 degrees
Step-by-step explanation:
Given the following data;
Radius, r = 5.6 cmLength of arc = 22 cmTo find the angle in degrees subtended by an arc;
Mathematically, the length of the arc of a circle is given by the formula;
S = rA
Where;
S is the length of the arc.A is the angle measured in radians.Substituting the values into the formula, we have;
22 = 5.6 * A
[tex] A = \frac {22}{5.6} [/tex]
A = 3.9286 radians.
Next, we would convert the value of the angle in radians to degrees;
Conversion:
[tex] 1 \; radian = \frac {180}{\pi} \; degrees [/tex]
[tex] 3.9286 \; radians = X \; degrees [/tex]
Cross-multiplying, we have;
[tex] X = \frac {180}{\frac {22}{7}} * 3.9286 [/tex]
[tex] X = \frac {180 * 7}{22} * 3.9286 [/tex]
[tex] X = \frac {1260}{22} * 3.9286 [/tex]
[tex] X = 57.2727 * 3.9286 [/tex]
X = 225.0015 ≈ 225 degrees
Please help me with this question I would really appreciate it!!!
Answers
Answer:
0, 1.32
Step-by-step explanation:
16cos(t)*sin(t)=4sin(t)
cos(t)=1/4 or sin(t)=0
t=1.32 or 0
james cuts 2 of his neighbor's lawn the first is 1000 m long and 100 m wide what is the area
Answers
Step-by-step explanation:
The formula for area is l x b. This stands for length and breadth. I can multiply 1000(100) to get 100,000m. The area of the lawn is 100,000 m.
HOPE IT HELPS YOU
MARK ME BRAINLIEST
I NEEEDDDD HELPPPP ASAPPPP ITS URGENTTTT!!!
Answers
Answer:
(x-13)^2+(y+16)^2=12.56
Step-by-step explanation:
what is 20(y)+2(x) if y=2 and x=9
btw this is me
Answers
Answer: 20(y)+2(x) = 20(2) + 2(9) = 40 + 18 = 58
Answer:
58
Step-by-step explanation:
If y=20 and X=9, then the equation=20 × 2 + 2 ×9= 40 + 18=58.
1. A football goal post casts a shadow 120 inches long. You are 5 feet 6 inches tall and cast a shadow 16.5 inches long. Find the height of the goal post in feet. Round your answer to the nearest whole number.
Answers
Answer:
40 feets
Step-by-step explanation:
Given that :
Person's height = 5feet 6 inches ;
Person's height in inches ;
1 foot = 12 inches ;
5 feets = (12 * 5) = 60 inches
Person's height = 60 + 6 = 66 inches
Height of person's shadow = 16.5 inches
Height of post shadow = 120 inches
Height of goal post = x
(Height of goal post / height of post shadow) = (person's height / person's shadow)
x / 120 = 66 / 16.5
Cross multiply :
16.5x = 120 * 66
16.5x = 7920
x = 7920 / 16.5
x = 480 inches
To feets ;
1 foot = 12 inches
480 inches = 480/12 feets = 40 feets
The point M(-6, -4) is translated 2 units right. What are the coordinates of the resulting point, M′?
Answers
Answer:
(-4, -4)
Step-by-step explanation:
On a 2D graph, moving to the right means going up the x axis, to the left means down the x axis, up means up the y axis, and down means down the y axis.
The point is translated 2 units to the right. This means that it is going up the x axis by two units. As it is going up, we can say that it is increasing. Therefore, on a coordinate (x,y), going up the x axis means we add to the x value. For the point (-6, -4), we add 2 to the x value, or -6, to get -6+2 = -4 as our new x value.
Our new end value is (-4, -4)
Write 1/16 using negative exponents.
Answers
Step-by-step explanation:
[tex] \frac{1}{16} = {2}^{ - 4} [/tex]
Answer:
2^-4
Step-by-step explanation:
16 = 2^4
1/16 = 1/2^4
We know 1/a^b = a^-b
1/2^4 = 2^-4
Which of the following values are in the range of the function graphed below? Check all that apply
Answers
Answer:
B, C, D
Step-by-step explanation:
In this problem, the range is what the output, or y, can be. The origin, or the middie of the graph, is when x=0 and y=0. From the 10s on the screen, we can gather that 5 lines = a distance of 10 on the graph. Using this information, we can say
5 lines = distance of 10
divide both sides by 5 to find the distance for each line
1 line = distance of 2
The function goes from y=0 to three lines down, for a distance of 6. The range is therefore [-6,0] as all values from -6 to 0 on the y axis are included on the graph, including 0 and -6. In this range, -6, -2, and -1 are all included.
which kind of triangle is shown?
A. Acute isosceles
B. Right scalene
C. Right isosceles
D. Acute scalene
Answers
Answer: B
Step-by-step explanation:
Acute isosceles: angle less than 90, 2 equal sides
Right scalene: right angle, different side lengths
RIght isosceles: right angle, 2 equal sides
Acute scalene: angle less than 90, different side lengths
please help i've been stuck on this for a while
Answers
Answer:
SSS Postulate
Step-by-step explanation:
The first says 2 sides are the same
The second says 2 sides are the same
The last says 2 sides are the same
Side side side
SSS Postulate
Grace bought a property valued at $200,00.00 and 20% down and a mortgage amortized over 10 years. She makes equal payments due at the end of every months. Interest on the mortgage is 4% compounded semi-annually and the mortgage is renewable after five years. a) What is the size of each monthly payment? b) What is the outstanding principal at the end of the five-year term? c) What is the cost of the mortgage for the first five years?
Answers
Answer:
Size of each monthly payment = $161.69 per month
Step-by-step explanation:
Given:
Value of property = $20,000
Downpayment = 20%
Number of payment = 12 x 10 = 120
Interest rate = 4% = 4% / 12 = 0.33 %
Computation:
Loan balance = 20,000 - 20%
Loan balance = $16,000
A] Size of each monthly payment [In Excel]
Size of each monthly payment = PMT(0.33%,120,16000,0)
Size of each monthly payment = $161.69 per month
okay can someone pls help me i literally am so confused
Answers
find the missing side
Answers
Answer:
28.3
Step-by-step explanation:
tan = opposite/adjacent
tan (58) = 1,600335
opposite = tan * adjacent
opposite = 1,600335 * 15 = 24,005018
For the Pytagorean theorem
x = √24,005018^2 + 15^2 = 28,306199 = 28.3
Find the length of the segment indicated. Round your answer to the nearest 10th of necessary.
Answers
Answer:
Step-by-step explanation:
Just using pythagorean theorem,
13.2²+16.9²=c²
174.24+285.61=c²
c²=√459.85
c= 21.4441134114
c = 21.4 (nearest tenth)
Find the first three terms of the sequence below. 3n^2+5n−2
Answers
Answer:
-2, 6, 20 ,...
Step-by-step explanation:
3n² +5n -2
if n=0 , then 3*0² +5*0 -2= -2
if n=1, then 3*1² +5*1 -2 = 3+5-2 = 6
if nu 2, then 3*2² +5*2 -2 = 12 +10 -2 = 20
A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6
feet. Find the length of the ladder if the length is 2 feet more than its distance from the
wall.
Answers
Answer:
10 feet
Step-by-step explanation:
let the ladder be x feet in length
Using the Pythagoras theorem,
6^2+(x-2)^2=x^2
if you solve this you'll get, x = 10
Answered by GAUTHMATH
What is the greatest common factor of 15n^5, 30n^3, and 45n^2
Answers
Answer:
15n^2 as it the highest expression that is common among these three.
find the third proportional of 3 5 7
Answers
Answer: Third proportion is 21/5.
Step-by-step explanation:
Let the proportion be x
so,
3:5:x:7
so
3:5 = x:7
or, 3/5 = x/7
or, 21 = 5x
or, x = 21/5
write an equation for a line parallel to: y = -3x + 2.
Answers
Answer:
y = 1/3x + 2
Step-by-step explanation:
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Answers
Answer:
Value of tan( π/3 ):
[tex]{ \tt{ \frac{\pi}{3} = \frac{180}{3} = 60 \degree }}[/tex]
60° lies within the first quadrant.
[tex]{ \sf{ \tan( \frac{ \pi}{3} ) = ( \frac{1}{2} , \: \frac{ \sqrt{3} }{2}) }}[/tex]
Since it's a half:
[tex]{ \boxed{ \sf{ \tan( \frac{\pi}{3} ) = \sqrt{3} }}}[/tex]
Length of hypotenuse:
[tex]{ \bf{ \sin(31 \degree) = \frac{16.5}{h} }} \\ { \sf{h = 32.04}}[/tex]
Hypotenuse = 32.0
