TRUE or FALSE.
Based only on the information given in the diagram, it is guaranteed that ΔABC ≈ ΔXYZ.
Answers
It is a true statement that it is guaranteed that ΔABC ≈ ΔXYZ in the diagram given.
Why will ΔABC equals ΔXYZ?In this context, all triangles have 180 degrees altogether in as much they have a standard size of the shape.
The triangles have the sames standard size although the letters of the angles are different.
Therefore, the statement is a true statement.
Read more about triangles angle
brainly.com/question/25215131
#SPJ5
Related Questions
What is the best approximation of the sine of 50°?
A. 0.2624
B. 0.6428
C. 0.7660
D. 1.1918
Answers
As I calculated it, sine 50 is equivalent to 0.2623748537.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Complete y^2+15y+56=(y+7)(y+?) ...?
Answers
y² + 15y + 56 = (y + 7)(y + a)
y² + 15y + 56 = y² + (7 + a)y + 7a
We can now compare the coefficient of the like terms, either the one with y or the one without y, and find the value of a.
15 = 7 + a; a = 8
OR
56 = 7a; a = 8
Second factor is (y + 8)
y² + 15y + 56 = (y + 7)(y + a)
y² + 15y + 56 = y² + (7 + a)y + 7a
We can now compare the coefficient of the like terms, either the one with y or the one without y, and find the value of a.
15 = 7 + a; a = 8
OR
56 = 7a; a = 8
Second factor is (y + 8)
A car Purchased for $18,500. After each year, the resale value decreases by 30%. What will the resale value be after 4 years
Answers
A = amount of money
P = Principle amount
r = annual rate of interest
t = number of years
I really need help and no one will help..!
solve each system by substitution. explain step by step
r + s = -12
4r - 6s = 12
Answers
2r-3s=6
mltiply first equation by -2 and add to first
-2r-2s=24
2r-3s=6 +
0r-5s=30
-5s=30
divide by -5
s=-6
sub back
r+s=-12
r-6=-12
add 6
r=-6
r=-6
s=-6
A furniture company misprinted a sales ad for a living room set but honors the advertised price. For each customer who purchases the living room set, the company suffers a loss of $125. Write a function to represent the company's total loss. What is the value of the function for an input of 50, and what does it represent? ...?
Answers
So,
f (x) = 125x
To get how much money the company loses, we can make x equal to 50.
f (50) = 125(50) = 6250
The company loses $6,250 when 50 customers purchase the furniture.
What is a soliloquy? ...?
Answers
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
A brownie recipe requires one and one third cups of sugar to one cup of chocolate chips. If four and two thirds cups of sugar is used, what quantity of chocolate chips will be needed, according to the recipe?
...?
Answers
Final answer:
To find the number of chocolate chips needed for four and two-thirds cups of sugar, we use the given ratio of 4/3 cups of sugar to 1 cup of chocolate chips and set up a proportion. Solving it gives us 3.5 cups of chocolate chips.
Explanation:
To determine the number of chocolate chips needed when using four and two-thirds cups of sugar according to the brownie recipe, we must first understand the ratio given in the recipe, which is one and one-third cups of sugar to one cup of chocolate chips. This ratio can be simplified to a fraction for easier calculation: 4/3 cups of sugar : 1 cup of chocolate chips.
With this ratio, we can set up a proportion to find the amount of chocolate chips needed for four and two-thirds cups of sugar:
(4/3 cups of sugar) / (1 cup of chocolate chips) = (14/3 cups of sugar) / (x cups of chocolate chips)To solve for x, we cross-multiply and solve the resulting equation:
(4/3) * x = (14/3) * 1x = (14/3) * (3/4)x = 14/4x = 3.5The quantity of chocolate chips needed is 3.5 cups when using four and two-thirds cups of sugar.
Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths.
Base 1 1/2 feet, altitude 6 inches.
Area = sq. ft. ...?
Answers
The area (A) of the parallelogram with altitude a and base b is:
A = a * b
We have:
A = ?
a = 6 in
Since 1 inch is 0.083 feett, then 6 inches is
a = 6 * 0.083 ft = 0.498 ft ≈ 0.5 ft = 1/2 ft
b = 1 1/2 ft = 1 + 1/2 ft = 2/2 + 1/2 ft = 3/2 ft
_______
A = a * b
a = 1/2 ft
b = 3/2 ft
A = 1/2 * 3/2 = 3/4 ft² = 0.75 ft²
Answer:
3/4 sq. ft.
Step-by-step explanation:
Hope it helps.
During World War I, the Germans had a gun
called Big Bertha that was used to shell Paris.
The shell had an initial speed of 2.41 km/s at
an initial inclination of 61.5 to the horizontal.
The acceleration of gravity is 9.8 m/s2 .
How far away did the shell hit?
Answer in units of km
How long was it in the air?
Answer in units of s
Answers
2.41 km/s = 2410m/s\
To solve the second part
First we have to find Vy Vy = 2410 m/s * sin 61.5 = 2410 m/s * 0.8788 =2117.908 m/s.
When the shell reaches it's maximum height the vertical velocity component will be zero
based on that theorem let's apply linear motion equation
V = u + at
0 = 2117.908 m/s - 9.8 m/S^2 * (t)
t = 216.1130 s
As the shell has to go upward and comes back to earth the shell will require a same amount of time in order to reach earth again so the total time that shell will spend on the air will be
2*t = 432.226 s
I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
To find the distance the shell hit and the time it was in the air, we need to determine the total time it takes for the shell to hit the ground. The horizontal component of the shell's initial velocity remains constant, while the vertical component is affected by gravity. By solving for the time using the vertical component, we can then multiply it by the horizontal component to find the distance and convert it to kilometers.
Explanation:To find the distance that the shell hit, we need to determine the time it was in the air. We can do this by finding the total time it takes for the shell to hit the ground. The shell's initial velocity is given as 2.41 km/s at an angle of 61.5 degrees. We can break down the initial velocity into its horizontal and vertical components. The horizontal component remains constant, while the vertical component is affected by gravity. Using the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time, we can solve for the time it takes for the shell to reach the ground.
Find the horizontal component of the initial velocity using the equation horz_vel = init_vel * cos(angle).Find the vertical component of the initial velocity using the equation vert_vel = init_vel * sin(angle).Using the vertical component, solve for the time it takes for the shell to reach the ground using the equation -vert_vel = 0 + 0 * t - 0.5 * acceleration * t^2.The time calculated in step 3 will give us the total time the shell was in the air.Multiply the total time by the horizontal component of the initial velocity to get the distance that the shell hit.Convert the distance from meters to kilometers by dividing by 1000.So, the shell hit a distance of [distance] km away and was in the air for [time] s.
Learn more about Calculating the distance and time a shell travels in the air here:https://brainly.com/question/24196077
#SPJ3
Solve for x. Enter your answer in interval notation using grouping symbols.
x^2+4x<45 ...?
Answers
-9,5
4sin(x)−4=0
solve for x
Answers
4sin(x) - 4 = 0
4sin(x) = 4
sin(x) = 1
Now use the unit circle and you'll see that the only solution in the interval [0,2pi) is x = pi/2
If you want to ignore the restriction and consider all solutions, then x = (pi/2) + 2pi*n where n is any integer
The mean number of hours that Raphael worked over the past four weeks is 37.75. If he works 40 hours this week, what will the mean number of hours be that he will have worked over the five-week period?
What is the five-week mean?
Answers
37.75 x 4 = 151
Then, add 40 to that total to get the new total.
151 + 40 = 191
Now, divide that number by 5 (as in 5 weeks, the new number of parts).
191/5 = 38.2 hours
Total hours in 4 weeks / 4 = average of four weeks.
Total hours in 4 weeks = 37.75 x 4
= 151
Total hours in 5 weeks = 151 + 40
= 191
5-week mean = 191 / 5
= 38.2
Miss fernandez built two rectangular gardens the length of garden a is 2 feet longer than twice its width the list of garden b is 1 foot less than the width of garden a the length of garden b is 2.5 times its width the two gardens have the same perimeter what are the dimensions of the gardens
Answers
For garden B, let width = x, length = y
So we are given the following:
L = 2+2w
x = w - 1
y = 2.5x
2w+2L = 2x+2y ------> w+L = x+y
Ok lets do some substituting into the perimeter equation
[tex]w + (2+2w) = (w-1) + 2.5(w-1)[/tex]
adding like terms...
0.5w = 5.5
w = 11
This means that:
L = 2+2(11) = 24
x = 11-1 = 10
y = 2.5x = 2.5(10) = 25
Final solution:
Garden A is 11 by 24
Garden B is 10 by 25
Wally bakes muffins. in each batch of 12 muffins, he bakes 8 bluberry muffins write in simplest form the fraction of muffins that are not blue berry
Answers
Answer:
probably 4/12 = 1/3 muffins are not blueberry
Step-by-step explanation:
A truck carried 3 1/3 ton of sand, but lost 1/4 ton of sand along the way. how many tons of sand were survived
Answers
3 1/3=3.3+1/3=10/3
10/3-1/4
10.4/3.4-3.1/4.3
40/12-3/12
37/12
3 1/12
A degree is larger than 30 arc minutes. ...?
true or false
Answers
Answer:
True
Step-by-step explanation:
Given : Statement - 'A degree is larger than 30 arc minutes'.
To find : True or False ?
Solution :
We know that,
1 degree is [tex]1^\circ=\frac{1}{360}[/tex] of a circle
1 arc minute is [tex]1^'=(\frac{1}{60})^\circ[/tex] of degree.
So, 30 arc minutes is [tex]30^'=(\frac{30}{60})^\circ[/tex] of degree.
30 arc minutes is [tex]30^'=(\frac{1}{2})^\circ[/tex] of degree.
Which clearly means,
[tex]1^\circ>(\frac{1}{2})^\circ[/tex]
[tex]1^\circ>30^'[/tex]
Therefore, The given statement is true.
'A degree is larger than 30 arc minutes'.
A candy manufacturer makes two types of special candy, say A and B. Candy A consists of equal parts of dark chocolate and caramel and Candy B consists of two parts of dark chocolate and one part of walnut. The company has in stock 430 kilograms of caramel, 360 kilograms of dark chocolate, and 210 kilograms of walnuts. The company sells Candy A for P285 and Candy B for P260 per kilograms. How much of each candy should the manufacturer produce to maximize profit?
Answers
To maximize profit, the candy manufacturer should use mathematical linear programming. The decision variables are the amounts of Candy A (x) and Candy B (y). The profit function P = 285x + 260y is to be maximized subject to constraints arising from available stock of dark chocolate, caramel, and walnuts, leading to a typical linear programming problem.
Explanation:To solve this problem, we need to use Linear Programming, a mathematical model that helps in making optimal decisions. The candies are what we call decision variables. Our decision variables here are Candy A and Candy B.
Candy A: x kilograms (dark chocolate and caramel in equal parts).
Candy B: y kilograms (two parts of dark chocolate and one part of walnut).
We want to maximize the profit function P = 285x + 260y subject to constraints arising from the available stock of dark chocolate (DC), caramel (C), and walnuts (W).
DC constraint: A uses DC in equal parts, and B uses two parts DC. Therefore, x + 2y ≤ 360.C constraint: A uses equal parts C, x ≤ 430 (as B doesn't use C).W constraint: B uses one part W, y ≤ 210 (as A doesn't use W).
The next step is to solve these inequalities graphically or using mathematical methods to get values of x and y that maximize P while respecting constraints. This case, where we want to optimize a certain function with respect to constraints, is a typical linear programming problem in mathematics.
Learn more about Linear Programming here:https://brainly.com/question/34674455
#SPJ12
half a pepperoni pizza plus three fourths a ham-and-pineapple pizza contains 765 calories. One fourth of a pepperoni pizza plus a whole ham-and-pineapple pizza contains 745 calories. How many calories are in each kind of pizza?
Answers
1. D (4,5)
2. C
3. D
4. A
5. C
6. D
7. B
8. C
9. A
10. B
OR
1. B (2,6)
2. A
3. A
4. C
5. D
6. A
7. A
8. B
9. C
10. A
Don't deny it, you came here for the answers ;)
Final answer:
A half pepperoni pizza contains 660 calories and a ham-and-pineapple pizza contains 580 calories.
Explanation:
Let's represent the number of calories in half a pepperoni pizza as x, and the number of calories in a ham-and-pineapple pizza as y. We can set up a system of equations to represent the given information:
0.5x + 0.75y = 765 -- Equation (1)
0.25x + y = 745 -- Equation (2)
We can solve this system of equations using the method of substitution:
From Equation (2), y = 745 - 0.25x
Substitute this value of y into Equation (1):
0.5x + 0.75(745 - 0.25x) = 765
Simplify and solve for x:
0.5x + 558.75 - 0.1875x = 765
0.3125x = 206.25
x = 660
Now substitute the value of x back into Equation (2) to find y:
0.25(660) + y = 745
Simplify and solve for y:
165 + y = 745
y = 580
Therefore, there are 660 calories in a half pepperoni pizza, and 580 calories in a ham-and-pineapple pizza.
What is d if p equals 15 in d=-3p^2+168p-315
Answers
so your equation will look like d=3(15)^2+168(15)-315
then you will simplify
to get d= 2025+2520-315
simplify again
to get d=4230
-3(15^2)+168(15)-315=
-3(225)+2520-315=
-675+2205=
1530
d=1530 when p=15
what is the area of a right triangle with side lengths 6, 8, and 10? a. 48 b. 40 c. 30 d. 24
Answers
The legs are 6 and 8, and the hypotenuse is 10 (the longest side).
Since 6 and 8 are the legs (i.e. the base and height),
area = 1/2 • base • height
= 1/2 • 6 • 8 = 24
Which of the following is not a way to prove a quadrilateral is a parallelogram?
Answers
The way to not prove a quadrilateral is a parallelogram is; Show one set of opposite sides of the quadrilateral is congruent.
Parallelogram and CongruenceA parallelogram is a quadrilateral which has opposite sides to be congruent and parallel as the name implies and hence, opposite angles of the parallelogram are congruent.
However, showing one set of opposite sides of the quadrilateral is congruent is not a confirmatory test for a parallelogram, as it evades the parallel law of opposite sides of the Parallelogram.
Read more on parallelogram;
https://brainly.com/question/17167464
21/80 in a simplified fraction
Answers
Which of the following is a result of shifting a circle with equation (x + 3)² + (y - 2)² = 36 left 3 units?
Answers
(x + 6)^2 + (y - 2)^2 = 36
Answer:
The answer is [The x-coordinate of the center of the circle decreases by 3.]
Step-by-step explanation:
Which statement best explains whether y = 3x + 5 is a linear function or a nonlinear function?
1. It is a linear function because its graph contains the points (0, 0), (1, 0), (2, 8), which are on a straight line.
2. It is a linear function because its graph contains the points (0, 0), (1, 0), (2, 4), which are not on a straight line.
3. It is a nonlinear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line.
4. It is a linear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line.
Answers
on a number line: What does a closed circle mean and what does an open circle mean?
Answers
An open circle is greater than or less than.
On a number line, closed circle on a point indicates that point is also included and the open circle indicates that point is not included.
What is a Number Line?Number lines are represented as straight lines drawn horizontally on which integers are written in equal intervals.
This line is extended to infinity on both sides.
Number line includes positive numbers, zero and negative numbers.
Closed circles and open circles are used in number line to represent linear inequalities in one variable.
Let 'n' be any number on the number line.
We use open circles on 'n' to denote inequalities like x < n and x > n.
We use closed circles on 'n' to denote inequalities like x ≤ n and x ≥ n.
Hence, open circles are used to numbers which are greater than or less than ( > or < ) and closed circles are used to numbers which are greater than or equal to and less than or equal to ( ≥ or ≤ ).
To learn more about number line, click:
https://brainly.com/question/13425491
#SPJ2
a recipe calls for 2 1/2 cups of flour toake 2 dozen coockies.how many cups of flour would be required to bake 15 dozen cookies?
Answers
Please help! Numbers 16 & 17.. It will be much appreciated! :D
Answers
17. If the lion can run 15 miles in one hour, then in .25 hours or 1/4 of an hour the loin could be said to run 15/4 miles, or 3.75 miles.
is 87 a prime or composite
Answers
Answer:
Prime
Step-by-step explanation:
77 is composite
It has other factors besides 1 and itself
68 -composite
52-composite (it is even)
31 -prime
59-prime
The graph of y = x2 is shown below.
If graphed on the same grid, which of the following could be the graph of y = 0.4x2?
Answers
The answer is third graph (middle one)
Answer:
The answer is in the attachment.
Step-by-step explanation:
Coefficient in front of x^2 is 0.4. What that means is that for same increase of x now we will have less increse of y. If you picture that we can also say that graph would be wider. The graph will stay on positive side of y axis because x^2 is always positive and 0.4 times that is again always positive.
The answer is third graph (middle one)
Wendy wants $15,000 saved in 6 years to make a down payment on a house. How much money should she invest now at 4.65% compounded annually in order to meet her goal?
Answers
A=$15000, n=6 years, R=4.65
Therefore,
15000=P(1+4.65/100)^6
15000=P(1.3135)
P=15000/1.3135
=$11420 (to the nearest dollars)