Answer:
We can conclude they are congruent
Step-by-step explanation:
Because of the vertical angles theorem
28. Overhead Projectors Your teacher draws a circle on an overhead projector.
The projector then displays an enlargement of the circle on the wall. The circle
drawn has a radius of 3 inches. The circle on the wall has a diameter of 4 feet.
What is the scale factor of the enlargement?
a
A scale factor is a factor that can be used to either increase or decrease the size of a given figure. Therefore, the scale factor of the enlargement is [tex]\frac{1}{8}[/tex].
Scale drawing is a type of drawing that requires the use of a factor to either enlarge or reduce the size of a given figure. The factor required is called a scale factor. It can be expressed as:
scale factor = [tex]\frac{length of side of image}{length of side of object}[/tex]
In the given question, the radius of the circle drawn is 3 inches, while that on the wall has a diameter of 4 feet.
Thus;
diameter of circle = 2 * 3
= 6 inches
But;
1 feet = 12 inches
So that;
x = 6 inches
⇒ x = [tex]\frac{6}{12}[/tex]
= [tex]\frac{1}{2}[/tex]
x = 0.5 feet
Thus, the diameter of the circle is 0.5 feet.
So that;
scale factor = [tex]\frac{0.5 feet}{4 feet}[/tex]
= 0.125
scale factor = [tex]\frac{1}{8}[/tex]
The scale factor of the enlargement is [tex]\frac{1}{8}[/tex].
For more on scale factor, visit: https://brainly.com/question/10253650
Events A and B are disjoint. Find P(AorB) when P(A) = 0.55 and P(B) = 0.2
P (A or B)=
Answer:
0.75 = P(A or B)
Step-by-step explanation:
Since the events are disjoint, we can find the probability of one or the other occurring merely by adding P(A) and P(B): 0.55 + 0.2 = 0.75 = P(A or B)
A food truck sells tacos, burritos, and drinks.
Let event A = A customer buys a taco.
Let event B = A customer buys a drink.
What does PA or B) = 0.55 mean in terms of this problem?
A. The probability that a customer buys both a taco and a drink is
55%.
B. Buying a taco and buying a drink are mutually exclusive events.
C. The probability that a customer buys neither a taco nor a drink is
55%.
O D. The probability that a customer buys a taco, a drink, or both is
55%.
Answer:
D. The probability that a customer buys a taco, a drink, or both is
55%.
1 year = 12 months
3/4 year =
Answer:
3/4 year = 9
Step-by-step explanation:
To find 3/4 of a year you first need to find 1/4 of a year so you do 12/4 and get 3. Now we know that 1/4 of a year is 3 months so you just multiply that by 3 to get 9. So 3/4 of a year is 9 months.
I hope this helps!
Your answer to 3/4 of a year is 9 months
onique bought 2 hot dogs and 1 large soda. She spent $7. Scott
bought 4 hot dogs and 1 large soda. He spent a total of $12.
What is the cost of one hot dog and one large soda?
Find the perimeter.Simplify your answer.
Answer:
20c+14
Step-by-step explanation:
To find the perimeter we have to add up all the sides
4c+6c+7+4c+6c+7
Combine light terms
20c+14
Answer:
Well your not given C so we just leave that be and we can just add up all 4 sides since perimeter means outside length total. Now when added up,
6c+7+6c+7+4c+4c= 20c+14
20c+14 is the perimeter
PLEASEEEEEEE HELP ME GUYS!!
5. The lengths of the sides of a triangle are x, 2x + 1 and 5x + 4 inches. If the perimeter is 53
inches, what is the value of x?
Equation: Xt2x+/+5x+4-53
Solution:
Answer:
x = 6
Step-by-step explanation:
The perimeter is the sum of the 3 sides
Sum the 3 sides and equate to 53
x + 2x + 1 + 5x + 4 = 53 , simplify left side
8x + 5 = 53 ( subtract 5 from both sides )
8x = 48 ( divide both sides by 8 )
x = 6
Evaluate the expression for x = 5:
2•(x-2)^2+5
Answer:
2•(x-2)^2+5 3x + 3 = x + 13, 3x = x + 10, 2x = 10, and x = 5.
I hope that this helps :P (and thx for the ez pointsss)
2x2-2x3-2x4-2x5-2x6-2x7
Answer:
-46
Step-by-step explanation:
first multiply
add
and last subtract
Fibd the distance and midpoint between each pair of points. C(-2,2) d(5,-3)
Answer:
D=[tex]\sqrt{10}[/tex] or about 3.2 M=(1.5,-0.5)
Step-by-step explanation:
D=[tex]\sqrt{(x2+x1)^2 +(y2-y1)^2}[/tex] M=[tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]
Lets find the distance first:
D=[tex]\sqrt{(5+-2)^2 + (-3+2)^2}[/tex]
D=[tex]\sqrt{(3)^2+(-1)^2}[/tex]
D=[tex]\sqrt{9+1}[/tex]
D=[tex]\sqrt{10}[/tex]
D is about = 3.2
Lets find the midpoint now:
M= [tex](\frac{-2+5}{2} , \frac{2+-3}{2} )[/tex]
M=[tex](\frac{3}{2} ,\frac{-1}{2} )[/tex]
M= (1.5,-0.5)
can some one help me
Answer:
y=x-3
Hope This Helps!!!
What is the Factor of 3/9+8/9
Step-by-step explanation:
the lcm is 9 so....
3/9+8/9
multiply both sides by their lcm which is 9...
so....
9 (3/9)+9 (8/9)
3+8=11
simplify the expression.
20a^4 × (1/2 a^3 )^2
Answer:
5a^10
Step-by-step explanation:
The simple process of counting the number of observations (cases) that are classified into certain categories is called
Answer:
tabulation. the simple process of counting the number of observations (cases) that are classified into certain categories; a frequency count; counting the number of responses in categories. one-way tabulation. categorization of single variable existing in a study.
Step-by-step explanation:
FOR 3 graders learn and pay attention in class its important Ask me any multiplacation equation or time tables
Answer:
c
Step-by-step explanation:
Select the correct answer.
If you roll a fair die twice, what is the probability of getting an even number at least once?
A.
0.75
B.
0.36
C.
0.5
D.
0.25
Answer:
A
Step-by-step explanation:
Got this right on edmentum
What is the value of y? y = 40 y = 80 y = 100 y = 120.
Answer:
I think it is 80. But I am also not sure because this question is not briefly described.
Answer:
80
Step-by-step explanation:
got it right on edge
Which ordered pair is NOT in the solution set of −2x + 3y ≥ 12?
A. (-3,5)
B. (-5,0)
C. (0,6)
D. (-5,3)
Answer:
B
Step-by-step explanation:
. Find the range of the function y
1/4x +1 if the domain is {-8, -4, 0}.
The range of a function is the possible output values the function can have.
The range of the function is all real values except 0
The function is given as:
[tex]\mathbf{y = \frac{1}{4x + 1}}[/tex]
When the denominator of the function is 0, the function would not have a real value.
This means that:
[tex]\mathbf{y \ne 0}[/tex]
i.e. the value of y cannot be 0.
Hence, the range of the function is all real values except 0
Read more about domain and range at:
https://brainly.com/question/21853810
1.8 0.087 − 0.947 + 2.2 0.044
Answer:
2
Step-by-step explanation:
im smart
what is |-9| i need help
Answer:
9
Step-by-step explanation:
absolute value makes everything positive. for example |-3| = 3 and if its already positive it stays positive, for example |5| = 5
Plz help .!$&&&&&&&&&
The thing dosnet show
write each power as a product of the same factor. Then find the value. 4^4
Answer:
256
Step-by-step explanation:
4^4 means 4raise to power 4. so, it's typically 4x4x4x4 which is 256
What is the equation of a line with a y-intercept at (0, 2) and a slope of 3? a. y = 2 x + 3 c. y = 3 x + 2 b. y = 3 x minus 2 d. y = negative 2 x + 3
Answer:
C) y = 3x + 2
Step-by-step explanation:
Given the slope of the line, m = 3, and the coordinates of the y-intercept, (0, 2).
We can substitute these values into the following slope-intercept form, y = mx + b, where:
m = slope
b = the y-coordinate of the y-intercept.
Therefore, the correct answer is option C, where it shows the equation of the line in slope-intercept form is: y = 3x + 2.
a
Kenny took a total of 10 quizzes over the course of 2 weeks.
How many weeks of school will Kenny have to attend this quarter
before he will have taken a total of 45 quizzes?
weeks
Helppp <3
Answer:
he would do 9 weeks of school
Step-by-step explanation:
count by fives
How do I graph y=-2x+7?
Answer:
Step-by-step explanation:
Suppose that a department contains 8 men and 17 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men
Write the equation of a horizontal line going through the point (8, -1)
Answer:
y =-1
Step-by-step explanation:
An easy way to answer any type of these questions is looking at the part where it said "Write the equation of a horizontal line", if this is the case you have to look at the 2nd point given to you which is -1 and simply make y = to that. Having y = -1 covers every possible x value which is why it is valid.
The area in square feet of a rectangular field is x^2-80x+1500. the width, in feet, is x-30. what is the length in feet.
Answer:
Step-by-step explanation:
Area = x² - 80x + 1500
= x² -30x - 50x + 1500
= x(x - 30) - 50(x - 30)
= (x -30) (x - 50)
Length =(x -50) ft