Congruent triangles have congruent corresponding sides and angles
The true statement is (c) yes, because of ASA or AAS
Start by adding the angles of the triangles
[tex]\mathbf{\theta = 98 + 35 + 47}[/tex]
[tex]\mathbf{\theta = 180}[/tex]
The angles add up to 180 degrees,
This means that, the triangles have congruent corresponding angles and a congruent corresponding side
Hence, the triangles are congruent by AAS or ASA.
Read more about congruent triangles at:
https://brainly.com/question/12413243
Answer:
Yes, because of ASA or ASA
Step-by-step explanation:
Tooken note so their right trust me
how long did it take the airplanes to reach 12,000 ft?
Answer:it didnt
Step-by-step explanation:
How many solutions can be found for the linear equation?
(3x +12) - 1 - (4x + 16)
A)no solutions
B)one solution
C)two solutions
D)infinitely many solutions
What are the solutions to (x+7) squared = 81
Answer:
x=2
Step-by-step explanation:
- Take the square root of both sides of the equation so that we can get rid of the squared on the x+7
- The square root of 81 is 9
- so now, the equation is x+7=9
- subtract seven from both sides
What is 922 divided by 26 with a remainder
Answer:
20.0434
Step-by-step explanation:
factor 8x^2-24 by taking out the gcf
Since 24 = 8*3, we can factor out the GCF 8 like so
8x^2 - 24 = 8*x^2 - 8*3 = 8(x^2-3)
This is using the distributive property.
-10+16÷(-2)+7
please help!
I need to learn how to write algebraic equations. For example:
Three less than sixty divided by a number is twenty-three
Answer:
(60-3)/n = 23
Step-by-step explanation:
Fill in the blanksFor any line graphed on a coordinate plane, similar prove that the slope of the line is the same between any pair of points that lie on the line.
Blank 1
Squares, right triangles , or circle
Blank 2
never ,sometime, always
Answer: right triangles
always
Step-by-step explanation:
Answer:
right triangles
Always
Step-by-step explanation:
Slope is rise/run which is the same for all two points on the line. The right triangles are formed using two points on the line
Mr. Alvarez makes a walkway out of three summer slabs he uses 14 ft.³ of cement to make the walkway each square slab has a volume of 4 ft.³ how many cubic feet of cement is the middle slab
Answer:
6 ft³
Step-by-step explanation:
In this case, there are two square slabs and a rectangular cement slab in the middle. If each of the square slabs has a volume of 4 ft.³ and all three slabs have a total volume of 14 ft.³, then the middle slab has a volume of:
[tex]V = 14 - 4 -4\\V=6ft^3[/tex]
The middle slab has a volume of 6 ft³.
Answer:
6
Step-by-step explanation:
cuse i just got it right on iready
The rectangle below was enlarged using a scale factor.
A rectangle with width 1.6 centimeters is enlarged to a rectangle with length 25 centimeters and width 8 centimeters.
What is the area of the original rectangle?
8 cm²
20 cm²
25 cm²
40 cm
Answer:
A. 8 cm²
Step-by-step explanation:
You can find the length of the original rectangle with ratios:
1.6 : x
8 : 25
Using this, we get:
25/(8/1.6)=x
25/5=x
x=5
Then we multiply length by width.
5*1.6=8
The original rectangle had an area of 8 cm²
The area of the original rectangle is 40 cm².
Explanation:To find the area of the original rectangle, we need to know its original length. Since we are given the width and scale factor, we can calculate the original length. If the new width is 8 cm and the scale factor is 25/1.6, then the original length would be 1.6 × (25/1.6) = 25 cm. Therefore, the area of the original rectangle is length × width = 25 cm × 1.6 cm = 40 cm².
Learn more about Area of Rectanglehttps://brainly.com/question/2607596
#SPJ13
what is 9x10 and what is 3x10?
Answer:
90 and 30
Step-by-step explanation:
Answer:90 and 30
Step-by-step explanation:
9x10=90
3x10=30
Staceys family is moving from Seattle, Washington to Houston, Texas. The distance from Seattle to Houston is 2,430. They have decided to drive 220 miles before lunch and 185 miles after lunch during each day of travel. What is the number of days they will they need to travel from Seattle to Houston.
Answer:
6 days :D
Step-by-step explanation:
So first you need to find out how much they drive each day : 185+220=405
Then you divide 405 with 2430 to find out how many days they need to travel..which is 6.
Find equivalent expressions
Answer:
RELATED
How to Multiply Fractions With Common Denominators
Updated April 24, 2017
By Pharaba Witt
Algebra strikes fear in the hearts of many both grown and still in school. Finding equivalent expressions is not as complicated or as daunting as you might think. It comes down to taking the distributive property and working with it to find another way to say the same thing, mathematically.
Using Distributive Property
Start with an algebraic expression. Using the example 2x(3y + 2) will make it easier to walk through the process.
Distribute the multiple 2x throughout the rest of the equation. This means multiplying 2x by 3y and by 2. Multiply 2x and 3y and you get 6xy. Multiply 2x by 2 and you get 4x.
Complete the equation by putting it back together. This means taking the two new numbers and keeping the function in the middle the same: 6xy + 4x. This is your equivalent expression. You can write the two expressions to show equality: 2x(3y + 2) = 6xy + 4x.
Using Factoring
Identify the common factors in the parts of the equation. Breaking down the equation might be necessary to find an equivalent expression. If you were given the expression 6xy + 4x, you would need to work it the other direction by taking out the common numbers. In this case both numbers are divisible by 2.
Take out the first common number: 2(3xy + 2x). Now you see there is still another common factor, x.
Take out additional common factors: 2x(3y + 2). This gives you the equivalent expression. Again you end with 6xy + 4x = 2x(3y + 2).
Step-by-step explanation:
Micaiah places coins in the order of penny, nickel, dime, penny, nickel, dime, and so on, as shown, so that each row contains one more coin than the previous row. What is the total value in cents of all coins in the 12th row?
Answer: 64 total cents in the 12th row
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
There is 64 total cents in the 12th row. We can figure this out by adding a nickel, a dime, and a penny. So, this gives us 1 + 5 + 10, which equals 16. The 12th row consists of 4 sets of 3 consecutive coins, so we take 16 and multiply it by four. So the final answer is 64.
Follow the steps below to choose an equivalent expression for 15n – 20 using the distributive property. Use the work below to help you. 1. Find the GCF of the terms. The GCF of 15n and 20 is 5. 2. To factor out the GCF, divide each term in the expression by the GCF. 15n ÷ 5 = 3n and 20 ÷ 5 = 4 Which expression is equivalent to 15n – 20? 2(8n – 6) 6(2n – 9) 5(3n – 4) 5(4n – 3)
Answer:
c
Step-by-step explanation:
Answer:
c hope this helps!
How do i graph y=x+2, y=2,x=4
Answer:to graph y=2 go to the y axis and go to positive 2 and make a horizontal straight line. And to graph x=4 go to the x axis and go to positive 4 and make a vertical straight line.
and to graph y=x+2 make a dot on (0,2) and (-2,0) then make a line thru them using a ruler or straight object. (also i seriously recommend using desmos to graph online its super easy to use :) )
Answer:
Please just give me points
Step-by-step explanation:
I really need points so plss someone give some!
The diameter of a circle is 8 kilometers. What is the circle's circumference?Use 3.14 for
Circumference: pi x diameter
8 x 3.14 = 25.12
Therefore, the circumference of the circle is 25.12 kilometers.
The circumference of a circle with a diameter of 8 kilometers is 25.12 kilometers.
Explanation:The formula to calculate the circumference of a circle is C = πd, where d is the diameter. In this case, the diameter is given as 8 kilometers. So, we can substitute this value into the formula:
C = 3.14 x 8 = 25.12 kilometers
Therefore, the circumference of the circle is 25.12 kilometers.
Learn more about Circumference of a circle here:https://brainly.com/question/31844715
#SPJ3
The correlation coefficient that models the relationship between the amount of time Jason spends working out and the amount of weight he loses is −0.9547. What is the correct interpretation of this number?
Answer:
The correlation coefficient is close to -1. There is a strong negative correlation between the amount of time spent working out and the amount of weight lost.
Step-by-step explanation:
I did it on USATestprep. -0.9547 is close to -1. This indicates a strong negative correlation. When the workout time increases, Jason's weight decreases.
Final answer:
The correlation coefficient of -0.9547 indicates a strong and inverse relationship between the amount of time Jason spends working out and the amount of weight he loses.
Explanation:
The correlation coefficient that models the relationship between the amount of time Jason spends working out and the amount of weight he loses is -0.9547. This negative correlation coefficient indicates a strong and inverse relationship between the two variables. It means that as the amount of time Jason spends working out increases, the amount of weight he loses decreases.
The function f(x)is graphed above. Which of the graphs below represents the function g(x)=(x+1)^2
Answer:
The function g(x) = (x + 1)² is represented by the graph Y
Step-by-step explanation:
The question presents the graph of the function x² above
Therefore, for a function f(x) = x² at x = 0 y = 0
For function g(x) = (x + 1)² when x = 0 g(x) = 1 Satisfied by graph W and Y
Also we have g(x) = (x + 1)² = x² + 2·x + 1 or g(x) = f(x) + 2·x + 1
We find the minimum of the graph by differentiating and equating to zero as follows;
[tex]\frac{\mathrm{d} (x + 1)^{2}}{\mathrm{d} x} = 2x +2 = 0[/tex]
Therefor, the minimum is at x = -1 satisfied by only graph Y
Hence the graph that represents the function g(x) = (x + 1)² is the graph Y.
Consider the sphere
Identify the parts of a sphere,
a is the
b is the
c is the
d is the
Dons
Answer:
A is the great circle
B is the diameter
C is the radius
D is the center
Step-by-step explanation:
Answer:
look at explanation :)
Step-by-step explanation:
Identify the parts of a sphere.
a is the great circle
b is the diameter
c is the radius
d is the center
A system of equations consists of two lines. One line is represented by the equation y - 6 = 2x and the other line is represented by the equation y = 2(x+1) + 4. What can you determine about the solution(s) to this system?
a) One Solution (-2, 1)
b) No Solution
c) An Infinite Number of Solutions
d) One Solution (2,8)
Answer:
c) An Infinite Number of Solutions
Step-by-step explanation:
y - 6 = 2x
y = 2(x+1) + 4.
Solve the first equation for y
y = 2x+6
Set the two equations equal
2x+6 = 2(x+1) +4
Distribute
2x+6 = 2x+2+4
2x+6 = 2x+6
Subtract 2x from each side
6 = 6
This is always true so there are infinite solutions
AC =
Round your answer to the nearest hundredth.
65
Answer:2.96
Step-by-step explanation:
6 (2+g) =24 help me please
Answer:
g=2
Step-by-step explanation:
6(2+g)=24
Expanding the parentheses:
12+6g=24
Subtracting 12 from both sides:
6g=12
Dividing both sides by 6:
g=2
Hope this helps!
Answer:
g=2
Step-by-step explanation:
1. Distribute the left-hand side:
12+6g=24
2. Subtract 12 from both sides:
12-12+6g=24-12
= 6g=12
3. Divide both sides by 6:
g=2
A worker's wage (w) is directly proportional to the number of hours (h) worked. If $71.25 is earned for working 5 h, how much is earned for working 23 h?
Answer:
The amount earned is $327.75
Step-by-step explanation:
If the workwr working for 5h gets $71.25, then his working for 1 hour could be said to be x.
5h = $71.25
1h = x; cross multiplying would result in
x= [tex]\frac{($71.25*1)}{5h}[/tex]
x= $14.25 which is the pay for 1h
Therefore for 23 h the worker would earn
23* 14.25 = $327.75
A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake
they make. If a cake sells for $15, which equation could be used to determine the
minimum number of cakes, c,they must sell each day to earn a profit? *
A. 15c < 1,800 + 10c
B. 15c > 1,800 + 10c
C. 10c < 1,800 + 15c
D. 10c > 1,800 + 15c
Answer:
B. 15c > 1,800 + 10c
Step-by-step explanation:
Profit=Total revenue - total cost
Profit is achieved:
when total revenue is greater than total cost
TR>TC
Or
When total cost is less than total revenue
TC<TR
From the question
Total cost=1800+10c
Total revenue=15c
Profit=TR>TC or TC<TR
15c>1800+10c
Or
1800+10c<15c
Option B. 15c > 1,800 + 10c satisfies the condition that Profit=TR>TC
Answer:
B. 15c > 1,800 + 10c
Step-by-step explanation:
The local bakery has an operating cost of $1800 plus a cost of $ 10 per cake produced. The operating cost is the expenses required to run the business. This is the amount required to keep the bakery company in existence. To make a profit, the sales each day must surpass the operating cost.
Since they sell only cakes , the sales of cakes for that day should surpass the operating cost for that day in order for them to make gain
operating cost = 1800 + 10c
where
c = number of cakes sold each day
The price for each cake = $15 . The sales for each day will be 15 × c(the number of cake sold) which should be greater than the operating cost 1,800 + 10c for them to make profit.
15c > 1,800 + 10c
The proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485. What is the probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39
Answer:
B. 17%
Step-by-step explanation:
The probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 is given by the z-score and P ( 0.37 < x < 0.39 ) = 16.32 %
What is a z-score?The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.
The Z-score is calculated using the formula:
z = (x - μ)/σ
where z: standard score
x: observed value
μ: mean of the sample
σ: standard deviation of the sample
Given data ,
Let the probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 be P ( A )
Now , the mean of the sample μ = 0.38
The standard deviation σ = 0.0485
And , z₁ = 0.37 and z₂ = 0.39
So , P ( A ) = P ( 0.37 < x < 0.39 )
On simplifying , we get
z = (x - μ)/σ
z₁ = ( 0.37 - 0.38 ) / 0.0485
z₁ = -0.206
z₂ = ( 0.39 - 0.38 ) / 0.0485
z₂ = 0.206
So , P ( 0.37 < x < 0.39 ) = P ( -0.206 < z < 0.206 )
On further simplification of the z-score , we get
P ( 0.37 < x < 0.39 ) = 0.5816045 - 0.4183955
P ( 0.37 < x < 0.39 ) = 0.1632
Hence , the probability is 16.32 %
To learn more about z-score click :
https://brainly.com/question/25638875
#SPJ7
A paint can has a radius of 4 inches and a height of 15 inches. What is the volume of the paint can? Round to the nearest
tenth. Use 3.14 for
cubic inches
Answer:
Step-by-step explanation:
Shape of the can is cylinder
r = 4 in
h = 15 in
Volume =πr²h
= 3.14* 4 * 4 * 15
=753.6 cubic inches
there are 3 basketball leagues.Each league has 8 teams.each team has 13 players.how many players are in all 3 leagues?
a.200
b.312
c.450
d.150
Answer:
312
Step-by-step explanation:
its easy
i need help with this thank you in advance
Answer:
The answer is D.
Explanation:
(70)^ 1/2 = 8.366600265
√70 = 8.36600265
Francesca's window store made a mosaic for the community center. The mosaic had a 6 × 6 array of different color square tiles. If each tile is 2 1 4 ft long, what is the area of the whole mosaic?
The correct value of the length of a side = 2¼ ft
Answer:
area of the whole mosaic = 182.25 ft²
Step-by-step explanation:
We are told it has a 6 x 6 array of different colour square tiles.
Which means it has 6 x 6 = 36 square tiles.
Area of square = L²
Where L is length of side
Now, since length of one tile is 2¼ ft long.
Thus, area of one square tile = (2¼)²
= 81/16 ft²
Since there are 36 tiles,
Thus ;
Total area ; 81/16 x 36 = 182.25 ft²
Final answer:
The area of one tile in the mosaic is 5.0625 ft², and because there are 36 tiles in the mosaic, the total area is 182.25 ft². Mosaics are an ancient and durable art form requiring significant skill to create, especially when using small tesserae.
Explanation:
Francesca's window store created a mosaic for the community center that consisted of a 6 × 6 array of square tiles. To find the area of the whole mosaic, we need to calculate the area of one tile and then multiply it by the total number of tiles in the array.
Firstly, we have been given that each tile is 2 1/4 ft in length. Since the tiles are square, the area of one tile will be (2 1/4 ft) × (2 1/4 ft). In decimal form, 2 1/4 ft is equal to 2.25 ft. The area of one tile is therefore:
2.25 ft × 2.25 ft = 5.0625 ft²
Since there are 36 tiles (6 tiles in each direction), the total area of the mosaic will be:
5.0625 ft² × 36 = 182.25 ft²
Mosaics require considerable skill and time to create, especially when they employ tiny tesserae. As seen throughout history, mosaics have been used to decorate many surfaces, such as those in Francesca's example. The durability and artistic value of mosaics continue to make them a popular choice for artistic expression in structures like the community center.