i wont give the answer but i will tell you how to solve
Opening Exercise
The original triangle, labeled A, has been reflected across the first line, resulting in the image labeled B. Reflect the image across the second line. Carlos looked at the image of the reflection across the second line and said, “That’s not the image of triangle A after two reflections; that’s the image of triangle A after a rotation!” Do you agree? Why or why not?
Discussion
When you reflect a figure across a line, the original figure and its image share a line of symmetry, which we have called the line of reflection. When you reflect a figure across a line and then reflect the image across a line that intersects the first line, your final image is a rotation of the original figure. The center of rotation is the point at which the two lines of reflection intersect. The angle of rotation is determined by connecting the center of rotation to a pair of corresponding vertices on the original figure and the final image. The figure above is a 210° rotation (or 150° clockwise rotation).
Exploratory Challenge
Line of symmetry of a figure: This is an isosceles triangle. By definition, an isosceles triangle has at least two congruent sides. A line of symmetry of the triangle can be drawn from the top vertex to the midpoint of the base, decomposing the original triangle into two congruent right triangles. This line of symmetry can be thought of as a reflection across itself that takes the isosceles triangle to itself. Every point of the triangle on one side of the line of symmetry has a corresponding point on the triangle on the other side of the line of symmetry, given by reflecting the point across the line. In particular, the line of symmetry is equidistant from all corresponding pairs of points. Another way of thinking about line symmetry is that a figure has line symmetry if there exists a line (or lines) such that the image of the figure when reflected over the line is itself.
Does every figure have a line of symmetry?
1. What is the probability that someone likes tea?
a) 26/62
b) 16/62
c) 24/62
d) 27/62
Answer:
D) 27/62
Step-by-step explanation:
Since the question does not ask for a person that ONLY likes tea, you would use all the numbers within the tea circle. So, you would add 16, 2, 8, and 1 together to get the answer of 27/62.
True or false. Explain.
The volumes of a rectangular-based pyramid and a triangular-based pyramid with congruent heights and equal base areas are equal
Answer:
true
Step-by-step explanation:
can you share 1 one with 6 groups
Answer:
it all comes down to what it is! if it's like big bag, and how big the groups are, then you would have to estimate! if it's like a single pack on candy then no
need help on geometry question :)
Answer:
the answer is 9√3
sin60°= p/h
√3/2 = x/18
by cross multiplication we get
18√3=2x
therefore: x=9√3
Answer:
I think it's 12√3
I don't know if I'm correct
Marta’s math textbook weighs 4/5 of a pound less than 4 times the weight of the book she is reading for her language arts class. If the weight of the math textbook is 2 1/5 pounds, which shows the correct equation and value of x, the weight of Marta’s book for language arts?
Which table of values is defined by the function y = 5x + 4?
Answer:
Graph using a table of values.
x y
-2 -6
-1 -1
0 4
1 9
2 14
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hey niy
What is the area of the shaded region?
Answer:
12 cm^2
Step-by-step explanation:
Find the surface area of the prism
Answer:
dont you just add the numbers...?
nine more than the quotient of 2 and a number of x
Answer: 9 + 2/x - x = -19
the ratio of boys to girls is 15:11 .if boys are 435 find the number of girls
Answer:
319
Step-by-step explanation:
15÷11 = 1.36364
435÷1.36364 = amount of girls
which will be 319
Write an algebraic expression for each:
the sum of a number and 45
12 more than a number
the difference of 1 and a number
13 subtracted from a number
Answer:
X + 45
X + 12
1 - x
X - 13
Step-by-step explanation:
Using the keywords sum of, more than, and subtracted will help you. (You can also flip the expression since it didn't say how.
Which point is closest to the y-axis?
(10, 15)
(5, 12)
(9, 11)
(-4, 14)
By the literal surface of the triangular prism 90 in2 110 in2 120 in2 130 in2
Plzzz hurry will mark brainlist
Answer:
3
Step-by-step explanation:
Your answer is 3
Answer:
i think its 120
Step-by-step explanation: thats what im going to put
A researcher in sports equipment is investigating the design of racing swimsuits for women. The researcher selected a sample of 40 women swimmers from high school swim teams in the state and randomly assigned each swimmer to one of two groups: suit A or suit B. The women will wear the assigned suits for a certain race, and the mean swim times for each group will be recorded. The difference in the sample mean swim times will be calculated. Which of the following is the appropriate inference procedure for analyzing the results?
A. A two-sample t-interval for a difference between sample means
B. A two-sample t-interval for a difference between population means
C. A one-sample t-interval for a sample mean
D. A one-sample t-interval for a population mean
E. A matched pairs t-interval for a mean difference
Answer:
B. A two-sample t-interval for a difference between population means
Step-by-step explanation:
in the given situation we are comparing the groups that are independent also we test the difference of the population mean so here consider inference procedure for analyzing the results is that there should be two sample t -interval by taking a difference between the population means
hence, the correct option is B.
The diagram below shows some measurements taken from a new bridge. How long is the bridge?
feet
Answer:
1,737.3 feet
Step-by-step explanation:
Let's assume the length of the bridge consists of 2 right triangles as shown in the diagram. Use pythagorean theorem to find the other missing leg of each right triangle.
Let the missing leg for each triangle be x and y respectively.
Length of bridge = x + y
✔️x = √(1115² - 860²) = √503,625
x ≈ 709.7 (nearest tenth)
✔️y = √(1340² - 860²)
y ≈ 1,027.6 (nearest tenth)
✔️ Length of bridge = 709.7 + 1,027.6 = 1,737.3 ft
Stuffed animals at a toy
store are split among 4
shelves. There are 12
stuffed animals on each
shelf. How many stuffed
animals are at the store?
Answer:
48
Step-by-step explanation:
12 x 4 = 48
Answer:
48
Step-by-step explanation:
If there are 4 shelves with 12 on each you multiply 4 by 12 (4*12) which gives you 48
i need the answers to
x, y, and m
Answer:
x= 79 y= 15 m=54
Step-by-step explanation:
both triangles are basically mirrored, so since x+11 is in the same position as angle H the real equation would be: x+11=90 and the same thing for y+7 because that side is the same as side FG the equation would be y+7=22. For M since angles E and H are 35 and 90 you just add them together and then subtract them from 180 because are triangles add up to 180 degrees in terms of angles not sides.
Answer:
y = 15
x = 1.93 wrong x = 79
m∠GFH = 54°
Step-by-step explanation:
y + 7 = 22
y = 15
sin 36° = (x + 11)/22
0.5878 = (x + 11)/22
x + 11 = 12.93
x = 1.93
m∠GFH = 90° - 36° = 54°
What is the measure of AEB?
Solve for x. Round your answer to the nearest tenth
Answer:
x = 17.2
Step-by-step explanation:
cos 35 = x/21
0.8192 = x/21
x = 17.2
given that f(x)=2x-5, find the value of x that makes f(x)=15
Answer:
x = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 2x - 5
f(x) = 15
Step 2: Solve for x
Substitute in f(x) [Function]: 15 = 2x - 5[Addition Property of Equality] Add 5 on both sides: 20 = 2x[Division Property of Equality] Divide 2 on both sides: 10 = xRewrite: x = 10Find the slope of the line that passes through (10, 10) and (8, 11).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
= -1/2
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (11-10)/(8-10)
= 1/-2
= -1/2
The parallelogram whose diagonals are equal in length and not perpendicular is
called
(a) square
(b) rectangle.
(d) straight.
(c) rhombus.
(d) trapezium
Answer:
Rectangle.
Step-by-step explanation:
If the diagonals are equal then the parallelogram is a rectangle. They are also equal in length in a square, which can be regarded as a special type of rectangle - but in this case the diagonals are perpendicular. They are also perpendicular in a rhombus.
PLS HELP ME YOU DON'T HAVE YO SHOW UR WORK
Answer:
b.
-2/3
Step-by-step explanation:
2/3 + (-2/3)
2+-2/3
0
hope this helps :)
2. It takes the 1st hose 3.25 hours to fill the empty tank
by itself while both hoses can fill it in 1.25 hours. How
long will it take the 2nd hose to fill the empty tank by
itself?
Answer::
Step-by-step explanation:
Which of the following is the correct factorization of the polynomial 4x2 - 11x +7?
A)
(4x - 1)(x - 7)
B)
(4x - 7)(x - 1)
C)
(4x - 7)(x + 1)
D)
(4x + 1)(x - 7)
1. Plot the following points on the same coordinate system.
(a) A(2,2)
(b) B(-1,2)
(c) C(-3,-1)
(d) D(2, -3)
What is the different in the measures of angle WVX and angle WXV?
Answer:
wvx=57
wxv=180-149
=31
57-31
26
Please anyone help me on this
Answer:
A: 0, -2
B: 10
Step-by-step explanation:
I did the math and then checked on the web
Can y’all help me please
Letters A through F
Please:((
Answer:
can you take another photo
Step-by-step explanation:
hi pls help me in math im soo stuck:(((plss
Answer/Step-by-step explanation:
a. First, find the value of a.
Sum of the interior angles of a triangle = 180° (triangle sum theorem)
Therefore:
3a + 2a + a = 180°
Add like terms
6a = 180°
6a/6 = 180/6
a = 30
Thus:
a = 30°
2a = 2(30) = 60°
3a = 3(30) = 90°
b. The triangle is an isosceles triangle because it has two sides that are indicated to be equal. This also implies that the angels opposite each of the equal sides are also congruent to each other.
Therefore, sum of the isosceles triangle would be:
2(2x) + 5x = 180°
4x + 5x = 180
9x = 180
9x/9 = 180/9
x = 20
Thus:
2x = 2(20) = 40
5x = 5(20) = 100