9514 1404 393
Answer:
A
Step-by-step explanation:
Rigid transformations and dilation will result in similar figures. Choices B, C, and D are not rigid transformations or dilations, but are different stretches in one direction than another.
The transformation of A is a dilation by a factor of 2 and reflection over the y-axis. It results in similar figures.
An equilateral triangle has three sides of equal length. How does the SSS Congruence Theorem apply to someone constructing equilateral triangles?
Find the missing side length, N.
We know these triangles are congruent with the missing side, N would be equal to 15.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We know these triangles are congruent.
To find the missing side, N
ΔABC ≅ΔQRS
AC/QS = BC/RS
2/5 = 6/n
n = 6 x 5/2
n = 30/2
n = 15
Thus, the value of N is 15.
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Can someone please help me?
Answer:
yes
Step-by-step explanation:
The measure of each interior angle of a regular polygon is 120°. Find the number of sides.
Answer:
6
Step-by-step explanation:
You can memorize these for the smaller shapes
for equilateral polygons:
triangle: 60
square: 90
pentagon: 108
hexagon: 120
Otherwise, I believe the formula is the total degrees in a polygon (s-2)*180 where s is the number of sides.
So the measure of each angle on average would be (s-2)*180/s.
There (s-2)*180/s = 120
180(s-2) = 120s
180s-360 = 120s
60s = 360
s = 6
A 5.5-foot-tall woman walks at 8 ft/s toward a street light that is 22 ft above the ground. What is the rate of change of the length of her shadow when she is 20 ft from the street light? At what rate is the tip of her shadow moving?
Answer: [tex]\frac{8}{3}\ ft/s[/tex]
Step-by-step explanation:
Given
length of shadow =22 ft
height of woman =5.5 ft
speed of woman [tex]\frac{dy}{dt}=8\ ft/s[/tex]
from the figure, we can write
[tex]\frac{22}{x+y}=\frac{5.5}{x}[/tex]
at given instant
y=20 ft
so, using similar triangle properties
[tex]\frac{22}{x+20}=\frac{5.5}{x}\\22x=5.5x+110\\16.5x=110\\x=6.67\ ft[/tex]
Again we can write
[tex]\dfrac{22}{x+y}=\dfrac{5.5}{x}\\22x=5.5x+5.5y\\16.5x=5.5y\\3x=y\\\text{differentiate w.r.t time} \\3\frac{dx}{dt}=\frac{dy}{dt}\\\frac{dx}{dt}=\frac{1}{3}\times 8=\frac{8}{3}\ ft/s\ \text{away from the woman}[/tex]
Hannah deposited the same amount of money into her savings account each month after 5 months she had $2,550 into the savings account after 8 months she had $3,300 and the savings account create an equation that models the amount a and the savings account after x months not included interest show your work ever explain how you determine your equation
Answer:
a = 250x + 1300Step-by-step explanation:
We have pairs (5, 2550) and (8, 3300)
Find the rate of change:
(3300 - 2550)/(8 - 5) = 750/3 =250$250 is the amount added to savings account every month
Initial amount was:
2550 - 5*250 = 2550 - 1250 =1300Since the change is linear and we have y-intercept and slope, we can show the amount after x months as:
a = 250x + 1300Maria Louisa looks at a sequence of shapes and records the number of vertices in each of the shapes in the sequence. The first shape has 7 vertices, the second shape has 13 vertices, and the third shape has 19 vertices. If Maria Louisa assumes that the number of vertices in the sequence of shapes follows the same pattern, how many vertices would she expect the 17 shape to have?
Answer:
103
Step-by-step explanation:
appears to be an arithmetic sequence question where sequence is 7, 13, 19 meaning the initial value is 7 and the common difference is 6 so we'll plug into this formula:
[tex]a_{17}[/tex] = 7 + (17 - 1) · 6
= 7 + (16 · 6)
= 7 + 96
'7' because that's the initial value
'6' because that the common difference
'17' because that's the position the question is asking
How to I do this problem ?
Answer:Takeyour time
Step-by-step explanation:
Helpppppppppppppppppppppppppp
Answer:
1.
[tex]x < - \frac{5}{13} [/tex]
2.
[tex]x \geqslant - \frac{1}{5} [/tex]
Step-by-step explanation:
↷
[tex] - \frac{13}{16}x + \frac{3}{8} < \frac{11}{16} \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: - \frac{3}{8 } < - \frac{3}{8} }{ \frac{ - \frac{13}{16}x }{ - \frac{13}{16} } < \: \: \: \frac{ \frac { 5}{16} }{ - \frac{ 13}{16} } } \\ \\ x < \frac{ - 5}{ \: 13} [/tex]
↷
[tex] \frac{1}{3} \geqslant \frac{2}{9} - \frac{5}{9} x \\ \frac{ - \frac{ 2}{9} \geqslant - \frac{2}{9} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{ \frac{ \: \: \: \frac{1}{9}x }{ - \frac{ 5}{9} } \geqslant \frac{ - \frac{5}{9} }{ - \frac{5}{9} } } \\ \\ x \geqslant - \frac{1}{5} [/tex]
wich number is an irrational number
Please help fast!
the following students bought different lunch items from the menu below. use the clues to match each student with the total price they paid for their lunches, each students total was different
Answer:
I filled it in for you. Hope it helps xx
Which expression simplifies 6(2 + x + x + y) using only 3 terms
Answer: 6(2+2x+1y)
Step-by-step explanation:
i think that is the anwser
Plz I need help with this!
Answer:
what do you mean?
Step-by-step explanation:
Find the equation of the line.
PLS HELP ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITS RIGHT OR WRONG. SHOW PROOF.
Answer:
1,200 miles
Step-by-step explanation:
1/4 in = 100 miles
|
There is 4/4 which makes 400 miles in 1 in.
|
So 400*3=1,200
please help will give brainliest if correct i know it's not C
Answer:
Table 1
Step-by-step explanation:
Table represents a function because the Input does not repeat.
Answer:
the answer would be the first one
Step-by-step explanation:
Which equation in point slope form describes the line that passes through (3,-5) and has a slope of 2?
Answer:
y + 5 = 2(x - 3)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (3, -5)
Slope m = 2
Step 2: Write equation
Substitute in variables into the general form.
y + 5 = 2(x - 3)
the race is 20 minutes long. aritza gets a 5 meter head start after 2 minutes she is at 10 meters what is her equation
5+2+10 is what i thibnk the answer is
у = -3х + 4
у = 3х - 2
Answer:
y =2
then u should put 2 in y = 3x -2 or y = -3x + 4
= y =3x - 2
= 2 = 3x - 2
= 2 + 2 = 3x
= 4 = 3x
=x = 4/3
Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answer:
MQ = 16 units
Step-by-step explanation:
[tex]\frac{x}{14}[/tex] = [tex]\frac{9}{63}[/tex]
x = [tex]\frac{14*9}{63}[/tex] = 2
MQ = 14 + 2 = 16 units
Help Help Help meeeeeeeeeeeeeee pleasee with math thank you
Answer:
b
Step-by-step explanation:
i got it right oon plato
Answer:
it should be y= 5x + 5 or y= 15x + 5
Step-by-step explanation:
I had something similar like a week ago and I am 100% its one of those
CORRECT ANSWERS ONLY
Answer:
-5x^3+8
Hope this helps
Can someone plz help me on number 4 plz
Answer: 6:5
Step-by-step explanation:
Let each little rectangle have the dimensions a by b (where a is the length and longer than b, the width). We find that l=3a because there are 3 lengths of a along l at the top of the crate and that l=4b because there are 4 lengths of b along l at the bottom of the crate. In addition, w=2b+a because there are 2 lengths of b and one length of a along w. Therefore, we can find b and a in terms of l and plug them into w=2b+a to find w in terms of l:
l=4b
b=l/4
l=3a
a=l/3
w=2b+a
w=2(l/4)+(l/3)
w=l/2+l/3
w=5l/6
If w=5l/6, l:w=l/(5l/6)=l(6/5l)=6/5
The correct answer is 6:5.
which one should choose for my career cluster finances or business
Please help I need to catch up on school.
Answer:
D: y=-2x+5
Step-by-step explanation:
Answer:
y=-2x+5
Step-by-step explanation:
The basic formula you go by for these problems is y=mx+b.
For this example, b is 5 and m is -2.
This would make the problem y=-2x+5
Solve for x.
3x-6
130
8x+4
Answer: x = 12
Step-by-step explanation:
(180 - 130) + (3x - 6) + (8x + 4) = 180
180 - 130 + 3x - 6 + 8x + 4 = 180
48 + 11x = 180
48 + 11x - 48 = 180 - 48
11x = 132
11x ÷ 11 = 132 ÷ 11
x = 12
The required value of variable "x" is 12 which is determined by the property of interior angles.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.
We know that the linear pair of angles are adjacent angles the sum of their measures is 180°
Since the sum of all interior angles of the triangle = 180°
(180 - 130) + (3x - 6) + (8x + 4) = 180
180 - 130 + 3x - 6 + 8x + 4 = 180
Rearrange the terms of variable "x" and combine them,
48 + 11x = 180
48 + 11x - 48 = 180 - 48
11x = 132
x = 132/11
x = 12
Therefore, the required value of variable "x" is 12.
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Which ordered pair is the solution to this system of equations?
y = r +4
x + y = 2
A. (1,5)
B. (0,2)
C. (-1,3)
D. (-4,0)
A rectangle is 36 m long and 25m broad .Find the cost of carpeting the floor at the rate of R.s 650 \ square meter .
Answer:
585000Rs
Step-by-step explanation:
Area=l×b
Area =total cost/rate or rate ×area
Somebody help plz i need some I’m dying inside help?
Answer:
1/3
Step-by-step explanation:
slope is just change in y over change in x
on a graph this can be found by counting the change in units
look at the point at (-3,0)
find the change in y by starting at that point and counting up or down until you reach another point.
the next point (-4,-3) is three units down (change of -3)
now go back to the first point and count left or right until you reach the other point to get change of x
the other point is one unit left (change of -1)
change of y over change of x = -1/-3=1/3
Answer:
slope = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, - 3) and (x₂, y₂ ) = (- 3, 0) ← 2 points on the line
m = [tex]\frac{0-(-3)}{-3-(-4)}[/tex] = [tex]\frac{0+3}{-3+4}[/tex] = [tex]\frac{3}{1}[/tex] = 3
Select the graph for the solution of the open sentence lxl +3>3
No solution
Closed circle on 0 going to the right
Open circle going out left and right
Open circle only going to the right
Answer:
[tex]x>0\:or\:x<0[/tex]
As seen in graph, there is an open circle on 0, and it goes out left and right.
Option C is correct option.
Step-by-step explanation:
We need to draw the graph for the solution of the open sentence [tex]|x| +3>3[/tex]
First we will solve the inequality: [tex]|x| +3>3[/tex]
Adding -3 on both sides
[tex]|x| +3-3>3-3\\|x| >0[/tex]
We know that [tex]If\:|x|>0,\:then\:x>0\:or\:x<0[/tex]
So, we have
[tex]x>0\:or\:x<0[/tex]
Now, the graph is attached in the figure below
As seen in graph, there is an open circle on 0, and it goes out left and right.
Option C is correct option.