Does △ABC appear to be the same size and shape as △XYZ? Explain.
Right triangles A B C and X Y Z. A B C has shorter leg equal to 5 and hypotenuse equal to 13. Longer leg B C is horizontal. X Y Z has shorter leg equal to 5 and hypotenuse equal to 13. Hypotenuse X Y is horizontal.
A. Yes; △ABC maps onto △XYZ with a translation and a rotation.
B. Yes; △ABC maps onto △XYZ with a translation and a reflection.
C. Yes; △ABC maps onto △XYZ with a rotation and a reflection.
D. No; the triangles are different sizes.
Answers
Answer:
yes
Step-by-step explanation:
Yes, △ ABC appears to be the same size and shape as △ XYZ by SAS similarity, and △ ABC can be mapped by translation and rotation, so option A is correct.
What is triangle?Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes, it is represented by the symbol and consists of three connected vertices.
Given:
Right triangles ABC and XYZ. ABC has a shorter leg equal to 5 and a hypotenuse equal to 13,
The triangles ABC and XYZ are similar by SAS similarity, as,
AC = XZ = 5,
AB = YZ = 13
∠ ACB = ∠ XZY
When you translate and then rotate triangle ABC, you will get triangle XYZ.
To know more about Triangles:
https://brainly.com/question/16886469
#SPJ2
Related Questions
I will give u 50 points and brainlest pls help
Answers
Answer:
The bicyclist rides 72 miles in 4 hours
Step-by-step explanation:
The vertical axis represents the number of miles while the horizontal axis is the duration. The intersecting point is the time and distance taken hence 72 miles in 4 hours.
Answer:
if you know this or not but 5 points is not 50
Step-by-step explanation:
what is the solution to this equation?
x-4=17
A. x=13
B. x=11
C. x=23
D. x=21
Answers
Answer:
d. x=21
Step-by-step explanation:
x-4=17
x-4 +4=17+4
x=21
The center of a circle and a point on the circle are given. Write the equation of the circle in standard form.
center: (2,-5), point on the circle: (-4,-5)
Answers
Answer:
25= (x-2)² + (y+4)²
Hope this helps!!!
Answer:
[tex](x-2)^2+(y+5)^2=36[/tex]
Step-by-step explanation:
The standard form of a circle is given by the equation:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
We know that the center is (2, -5). So, we can substitute 2 for h and -5 for k. This yields:
[tex](x-(2))^2+(y-(-5))^2=r^2[/tex]
Simplify:
[tex](x-2)^2+(y+5)^2=r^2[/tex]
Now, we need to determine r. We know that a point on the circle is (-4, -5). Thus, we can determine r by substituting -4 for x and -5 for y. This yields:
[tex](-4-2)^2+(-5+5)^2=r^2[/tex]
Evaluate:
[tex](-6)^2+(0)^2=r^2[/tex]
Evaluate:
[tex]36=r^2[/tex]
Hence, the radius squared is 36.
We do not actually need to solve for r, as we will square it anyways.
We will substitute 36 for r squared. Hence, our equation is:
[tex](x-2)^2+(y+5)^2=36[/tex]
The radius will thus be 6 units.
what is the average rate of change of f(x)= –8x+20 over the interval [–17,–10].
Answers
Answer:
Mein Name ist, mein Name ist, ich bin der beste Rapper, den es gibt
Step-by-step explanation:
Find the measure of each numbered angle.
Answers
Answer:
∠3 = 22°
∠4 = 22°
∠5 = 88°
Step-by-step explanation:
86 + 72 = 158
180 - 158 = 22
∠3 ≅∠4 they're verticle angles
22+ 70 = 92
180 - 92 = 88
20 POINTS!!!
The volume of a ball is 30 cm^3. If the diameter of the ball is dilated by a scale factor of 5, what is the new volume of the ball? Don't include the units
Answers
Which statements are true of all squares? Select three options.
The diagonals are perpendicular.
The diagonals are congruent to each other.
The diagonals bisect the vertex angles.
The diagonals are congruent to the sides of the square.
The diagonals are twice the length of one side of the square.
Answers
Answer:
The diagonals are perpendicular.
The diagonals are congruent to each other.
The diagonals bisect the vertex angles.
The statements that are true of squares include:
The diagonals are perpendicular.The diagonals are congruent to each other.The diagonals bisect the vertex angles.What's a square?It should be noted that a square simply means a shape that has four sides equal. The angles are also 360° since they're 90° each.
In squares, the diagonals are perpendicular and the diagonals are congruent to each other.
Learn more about square on:
https://brainly.com/question/12831058
Which of the following is a factor of 7x2 - 12x - 4? (6 points)
O 7x - 2
O x + 2
Ox-4
O None of the above
Answers
Answer:
We conclude that 'None of the above' is the correct answer.
Step-by-step explanation:
Given the expression
[tex]7x^2\:-\:12x\:-\:4[/tex]
Breaking the expression into groups
[tex]7x^2\:-\:12x\:-\:4=\left(7x^2+2x\right)+\left(-14x-4\right)[/tex]
Factor out [tex]x[/tex] from [tex]7x^2\:+\:2x[/tex]
[tex]=x\left(7x+2\right)[/tex]
Factor out -2 from [tex]\left(-14x-4\right)[/tex]
[tex]=-2\left(7x+2\right)[/tex]
so the expression becomes
[tex]7x^2\:-\:12x\:-\:4=\left(7x^2+2x\right)+\left(-14x-4\right)[/tex]
[tex]=x\left(7x+2\right)-2\left(7x+2\right)[/tex]
Factor out the common term [tex]7x+2[/tex]
[tex]=\left(7x+2\right)\left(x-2\right)[/tex]
Therefore, from the given options, we conclude that 'None of the above' is the correct answer.
If you have 3 cups of pineapple juice, how many total cups of lunch can you make?
Answers
71 2/3 as a fraction
Answers
Answer:
215/3
Step-by-step explanation:
71 multiplied by 3 (denominator) + 2 (remainder) divided by 3
The improper fraction for the given mixed fraction is 215/2.
The given fraction is [tex]71\frac{2}{3}[/tex].
These are just improper fractions written as a sum of whole number and a proper fraction. (improper fraction has the upper value(also called numerator) bigger or equal to denominator(the bottom value) and proper fraction has numerator value is less than that of the denominator)
They are written and can be converted to fraction as: [tex]a\frac{b}{c} = \frac{(a\times c)+b}{c}[/tex]
Now, [tex]71\frac{2}{3}=\frac{71\times3+2}{3}[/tex]
= (213+2)/3
= 215/3
Therefore, the improper fraction for the given mixed fraction is 215/2.
Learn more about mixed fractions here:
brainly.com/question/886123.
#SPJ6
Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions. If a substance has an H value of 0.00032, which shows a valid step in the process of calculating the pH of the substance?a. pH = - log 0.0032.b. - log(3.2.10-4)= pH.c. log(3.2.10-4)= pH.d. log(3.2.10*) = -pH.e. pH = log 0.00032.
Answers
Answer:
-log(3.2•10^-4)=pH
Step-by-step explanation:
The choice which shows a valid step in the process of calculating the pH of the substance is; Choice B. - log(3.2.10-⁴) = pH.
According to the question;
The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions.Therefore, when H = 0.00032
pH = - log 0.00032However; 0.00032 can be written in standard form as; 3.2.10-⁴
Therefore, Choice B is correct.
Read more:
https://brainly.com/question/17093969
Explain how to plot the point (3, –7) on the coordinate plane.
PLS HELP FAST
P.S. i only need one small pharagraph
Answers
Answer:
First you go to the x-axis put your point on where the coordinate says. In this case, 3. Then go to the y-axis and put your coordinate there, -7. The x-axis is first also knows as the first number in the coordinate.
Step-by-step explanation:
E23 I put as answer was correct :)
If sin∠X = cos∠Y and m∠X = 72°, what is the measure of ∠Y?
a. 18°
b. 72°
c. 90°
d. 108°
Answers
Answer:
A. 18°
Step-by-step explanation:
Using the cofunction identity
sin x = cos(90 - x)
Hence
sin72° = cos(90 - 72)° = cos18° ⇒ ∠Y = 18°
Answer:
The answer is 18.
Step-by-step explanation:
90-72=18
What is the length of CD? What is the length of C’D’? What is the measure of B? What is the measure of B’? What is the scale factor for the reduction of rectangle ABCD to produce rectangle A’B’C’D’?
Answers
Answer:
What is the length of CD? (6 units)
What is the length of C’D’?(4 units)
What is the measure of B? (90 degrees)
What is the measure of B’? (90 degrees)
What is the scale factor for the reduction of rectangle ABCD to produce rectangle A’B’C’D’? (2/3)
Step-by-step explanation:
Plz sub 2 my utube channel i post unreleased music
its called: lol bro crazy mexican
Answer:
In order
6 Units
4 Units
90 Degrees
90 Degrees
2/3
Step-by-step explanation:
cv6gv uig. ih 8h 88h oh 9h
Answers
Answer:
what
Step-by-step explanation:
Answer:
HAVE A FANTASTIC DAY!!!XD
Step-by-step explanation:
BRAINLIEST WOULD BE MUCH APPRECIATED!!!
124.44 is 34 percent of what number?
Answers
Answer:
out of 100
Step-by-step explanation:
Doctors nationally believe that 74% of a certain type of operation are successful. In a particular hospital, 57 of these operations were observed and 47 of then were successful. At alpha is equal to 0.05, is this hospital's success rate different from the national average
Answers
You deserve a real answer
Ask your teacher
Jaclyn and Henry secured a $225,000 mortgage at 5% annual interest for 20 years. This results in a monthly payment of $1484.90 and the interest paid in month one is $937.50. Assume they only make the minimum payment each month. How much is the balance reduced in month one? What is the beginning balance for month two?
Answers
Re-write the quadratic function below in Standard Form
y = -(x – 3)2 +8
Answers
Answer:
y = -x² + 6x - 1
General Formulas and Concepts:
Algebra I
Standard Form: ax² + bx + c = 0Expanding by FOIL (First Inside Outside Last)Combining like termsStep-by-step explanation:
Step 1: Define equation
y = -(x - 3)² + 8
Step 2: Rewrite
Expand [FOIL]: y = -(x² - 6x + 9) + 8Distribute -1: y = -x² + 6x - 9 + 8Combine like terms: y = -x² + 6x - 1what is the equation in point slope form of a line that passes through the points (-4,-1)and5,7)
Answers
Answer:
[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
using the image attached as reference
(-4,-1) - the -4 becomes x1, and the -1 becomes y1
(5,7) - the 5 becomes x 2 and the 7 becomes y2
plug this information into the equation
7-(-1)
m=----------
5-(-4)
solve
8
m=----------
9
so your slope would become 8/9
Nora is 4 years older than Hina . If the sum of their ages is at most 45 years ,find the maximum possible age of Hina. *
b) 25 years
a) 20 years
c) 15 years
choose the correct answer
Answers
Answer:
a) 20 years
Step-by-step explanation:
Hina: x
Nora: x + 4
x + x + 4 ≤ 45
2x + 4 ≤ 45
2x ≤ 41
x ≤ 20.5
20 years old and 15 years old would be ≤ 20.5 but the question asked for maximum possible age so 20 years old it is.
What is the answer to 32divided by 7/8
Answers
Answer:
Boyy
Step-by-step explanation:
Find the new amount.
15 liters increased by 60% is
( ? ) liters.
Answers
Answer:
24
Step-by-step explanation:
15*1.60=24
Two parallel lines are cut by a transversal. Angle 1 measures (4x + 28)°, and the angle adjacent to the alternate exterior angle with angle 1 measures (14x + 8)°. What is the value of x? One-half 2 8 12
Answers
Answer:
8
Step-by-step explanation:
Its right on edge
Answer:8
Step-by-step explanation:
A board measures 15 meters in length and is cut into two pieces. One-piece measures 7 meters. Write an equation to find the length of the other piece?
Answers
Answer:
15 = 7 + m
Step-by-step explanation:
If 15 is the total then it goes on the other side of the equal sign. You have one side so if you add it to the missing side it should equal 15.
Troy has to order 8 pounds of ham,15 pounds of cheese, and 12 pounds of turkey. What is the total cost of Troy‘a order?
Answers
Total cost is $93.75
Answer:
The answer is $93.75
Step-by-step explanation:
Please see question below.
What is 112% of 50?
2
Your answer
Please see question below.
Answers
Answer: 56
Step-by-step explanation:
Answer:
112% of 50 is 56
Step-by-step explanation:
100% of 50 is 50.
We have to find 12% of 50, and then add it to 50 to get 112% of 50.
12% of 50 is the same as .12 x 50 which is 6.
50 + 6 = 56
I Hope That This Helps! :)
Which expression means 25% off an originally prices item?
a. 1.25p
b. P - 0.25p
c. 0.25p
d. P + 0.75p
Answers
Answer:
b.
Step-by-step explanation:
dfghjkldesrycfhgyhkjludawregdyhukhu
What does the point (1, 18) represent?
Answers
Answer:
1 on the x axis, and 18 on the y axis
Step-by-step explanation:
If f(x) = (2x^3 − 4)^6, then what is f '(x)?
21x^2(x^3 − 4)^5
21x^8
6(2x^3 − 4)^5
6(2x^3 − 4)^5(6x^2)
Answers
6(2x^3-4)^5(6x^2)
Explanation:
That is the derivative after you differentiate using the Chain Rule.