Answer:
(A.) A triangle will be formed with vertices X, Y, and Z with side lengths XY = 18 mm, YZ = 20 mm, and XZ = 39 mm. This is because the sum of the lengths of any two sides of a triangle must be greater than the length of the third side according to the triangle inequality theorem. In this case, XY + YZ = 18 mm + 20 mm = 38 mm, which is greater than XZ = 39 mm, satisfying the triangle inequality theorem.
(B.) A triangle will be formed with vertices X, Y, and Z with side lengths XY = 17 mm, YZ = 20 mm, and XZ = 36 mm. This is because XY + YZ = 17 mm + 20 mm = 37 mm, which is greater than XZ = 36 mm, satisfying the triangle inequality theorem.
(C.) A triangle will not be formed with vertices X, Y, and Z with side lengths XY = 16 mm, YZ = 20 mm, and XZ = 37 mm. This is because XY + YZ = 16 mm + 20 mm = 36 mm, which is not greater than XZ = 37 mm, violating the triangle inequality theorem.
(D.) A triangle will be formed with vertices X, Y, and Z with side lengths XY = 17 mm, YZ = 19 mm, and XZ = 37 mm. This is because XY + YZ = 17 mm + 19 mm = 36 mm, which is greater than XZ = 37 mm, satisfying the triangle inequality theorem.
Step-by-step explanation:
please help......................
Answer: 6.6 in^2
Step-by-step explanation:
2.2 x 3 = 6.6
show set of data that is a function using at keast 5 domain values and 5 range values it can be shown in a format of your choice SHOW ALL YOUR WORK USING Y=M+B
Sure! Here's an example set of data that is a function:
| x | y |
|---|---|
| 1 | 3 |
| 2 | 5 |
| 3 | 7 |
| 4 | 9 |
| 5 | 11 |
To show that this is a function, we need to check that for every value of x, there is only one corresponding value of y. We can see from the table that this is true - for example, when x=2, y=5 and there are no other values of x that give y=5.
To represent this function in the form y=m*x+b, we need to find the values of m and b. We can use the slope-intercept form of a line to do this, which is:
y = m*x + b
where m is the slope of the line and b is the y-intercept (the value of y when x=0).
To find the slope, we can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are any two points on the line. Let's use the points (1, 3) and (2, 5):
m = (5 - 3) / (2 - 1) = 2
So the slope of the line is 2.
To find the y-intercept, we can use any point on the line and solve for b. Let's use the point (1, 3):
y = m*x + b
3 = 2*1 + b
b = 1
So the y-intercept is 1.
Now we can write the equation of the line in slope-intercept form:
y = 2*x + 1
To check that this equation matches the values in the table, we can substitute each value of x into the equation and see if we get the corresponding value of y:
When x=1: y = 2*1 + 1 = 3
When x=2: y = 2*2 + 1 = 5
When x=3: y = 2*3 + 1 = 7
When x=4: y = 2*4 + 1 = 9
When x=5: y = 2*5 + 1 = 11
These values match the values in the table, so we have shown that the set of data is a function and we have written its equation in the form y=m*x+b.
chatgpt
Sure, here is a set of data that is a function using at least 5 domain values and 5 range values:
```
Domain | Range
------- | --------
-2 | -4
-1 | -3
0 | -2
1 | -1
2 | 0
```
This data can be shown in a table, a graph, or a set of ordered pairs. In this case, we will show it as a table:
```
| Domain | Range |
|---|---|
| -2 | -4 |
| -1 | -3 |
| 0 | -2 |
| 1 | -1 |
| 2 | 0 |
```
We can use the equation y = m + b to find the slope (m) and y-intercept (b) of this function. The slope is calculated by finding the change in y (the range) divided by the change in x (the domain). In this case, the change in y is -4 - (-3) = -1, and the change in x is -2 - 0 = -2. Therefore, the slope is -1/-2 = 1/2. The y-intercept is calculated by finding the value of y when x is 0. In this case, the value of y is -2. Therefore, the y-intercept is -2.
The equation of this function is y = (1/2)x - 2. This function can be graphed by plotting the points in the table and connecting them with a line. The graph of this function is a straight line.
Which statement accurately describes Benedict of Nursia?
A. He founded the Holy Roman Empire and was crowned its first emperor by the pope.
B. He founded an abbey at Monte Cassino and is known as the "father of monasticism."
C. He led the First Crusade to reclaim the Holy Land for Christianity.
D. He designed and built the first Gothic cathedral, Notre Dame, in Paris.
Answer:
You put it in the wrong subject, but C is the right answer!
Step-by-step explanation:
If you have any questions please ask me! :)
Jim bought 5 packs of red bouncy balls, 2 packs of yellow bouncy balls, and 7 packs of green bouncy balls. There were 7 bouncy balls in each package. How many bouncy balls did Jim buy in all?
Answer:
108 bouncy balls
Step-by-step explanation:
2*7=14
5*7=35
7*7=49
14+35+49+108
j + 17/4 = 7
HELP QUICK
Answer:
J = 11/4
Step-by-step explanation:
J + 17/4 = 7
7 as a fraction
7 x 4 = 28
28/4
J + 17/4 = 28/4
J + (17/4 - 17/4) = (28/4 - 17/4)
J = 11/4
Answer:
j = 11/4
Step-by-step explanation:
For quick answer just in your head multiply 4 by 7, which is 28. Then subtract 17 since that’s the given, which you will get 11. So j = 11/4. Hope this somewhat makes sense.
To solve for the value of j, we need to isolate j on one side of the equation.
First, we can simplify the left side of the equation by multiplying both sides by 4 to get rid of the fraction:
j + 17/4 = 74(j + 17/4) = 4(7)
4j + 17 = 28
Next, we can isolate j by subtracting 17 from both sides:
4j + 17 - 17 = 28 - 174
j = 11Finally, we can solve for j by dividing both sides by 4:
j = 11/4
Therefore, the value of j that satisfies the equation is j = 11/4.
we can check whether j = 11/4 is the correct solution by substituting it into the original equation and seeing if it is true.
j + 17/4 = 7
When we substitute j = 11/4, we get:
(11/4) + 17/4 = 7
Simplifying the left side of the equation, we get:
28/4 = 7
Both sides of the equation simplify to 7, which means that the solution j = 11/4 is correct.
To further verify, we can also add 11/4 and 17/4 to get:
11/4 + 17/4 = 28/4 = 7
Since we obtained the same value for both sides of the equation, we can conclude that the solution j = 11/4 is correct.
Caitlin is making oatmeal cookies
She wants to make 1 1/2 batches
Each batch of cookies requires 2 1/2 cups of oatmeal
She has 3 1/4 cups of oatmeal
How many more cups of oatmeal does Caitlin need?
Answer: She needs 1/2 a cup of oatmeal
Step-by-step explanation:
step 1. turn the 2 1/2 into a decimal to get 2.5
step 2. divide the decimal in half to get 1.25
step 3. add 2.5 + 1.25 = 3.75
step 4. take that answer and subtract it by how much oatmeal you have (3.25) to get 0.5 this means that you need half a cup of oatmeal to make 1 1/2 batches of oatmeal cookies
Answer:
1/2 cups
hope you like it : )
Please help me fast!!
Answer:
In the given equations, "m" represents the slope of the line and "b" represents the y-intercept.
Part A includes four different equations, and they all have different values for "m" and "b". However, since there is no information about any changes in the equations or the values of "m" and "b", it is not clear which equation is being referred to in Part B.
Therefore, without additional context, it is impossible to determine whether "m" or "b" will change in the equation.
Arun is making a bubble wand out of wire. The circular part of the wand has the radius shown. 28mm. The diameter of his friend's similar wand is 4.5 millimeters shorter than the diameter of Arun's wand. How much wire did his friend need to make the circular part of his wand? Use 3.14 for π. Round to the nearest hundredth.
Answer:
here is ur answer <3:)
Step-by-step explanation:
I know the answer is 24 but I need the work
Answer:
24+36=60. 60/10=6. 6x4=24.
PLEASE HELP ILL MARK U AS BRAINLIEST!!
Answer:
Triangle JKL has greater area. The area of triangle JKL is 32 in^2 and area of triangle XYZ is 24 in^2.
Step-by-step explanation:
Area of triangle = 1/2*base*height
For triangle JKL,
Area = 1/2 * 8 * 8 = 32 in^2
For triangle XYZ,
Area = 1/2* 4 * 12 = 24 in^2
Thus, Area of XYZ < Area of JKL
I need help please I will put in an image. and I only have 18 points sorry
Answer:
what
Step-by-step explanation:
Which expression is equivalent to 1/4 (14x - 10) -3 (2 1/2x - 1 1/2) ?
A. 4x - 7
B. 4x + 2
C. -4x - 7
D. -4x + 2
Answer:
the expression 1/4 (14x - 10) -3 (2 1/2x - 1 1/2) is equivalent to -8x + 2, which is option D.
i hate geometry....so very much
Answer: 128 cm
Step-by-step explanation: 96+24+8=128cm
Which of the following is the solution set of x < 5?
A) x = {5, 4, 3, 2, 1, ... }
B) x = {5, 6, 7, 8, 9, ... }
C) x = {4, 3, 2, 1, ... }
D) x = {3, 4, 5, 6, 7, ... }
with solution pls, show the solution how did you get the answer
The best answer from the options provided is C, because "x<5" means all the numbers less than 5 and answer C only has integers that are less than 5.
Now C isn't a perfect answer, because C leaves out all the other fractions and decimals like 4.3 and 3/4 that are also less than 5, but aren't in answer C.
But given your choices, A, B, and D are not the answer, since they all have a number included that's greater than OR equal to 5.
The length of a rectangle is 2 cm more than 5 times the width. If the perimeter of the rectangle is 28 cm, what are the dimensions?
Answer:
A
Step-by-step explanation:
The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
28 = 2(5x+2) + 2x
28 = 10x + 4 + 2x
28 = 12x + 4
24 = 12x
x = 2
Therefore, the width of the rectangle is 2 cm, and the length is 5(2) + 2 = 12 cm. The correct answer is A. Width = 4 cm and Length = 10 cm.
Given that 1+5b+9c=1 , 4a+2b+3c=2, 7a+8b+6c=9
what is 741a + 825b + 639c?
Answer:
741a + 825b + 639c = 1375/9.
Step-by-step explanation:
To solve this problem, we need to first find the values of a, b, and c that satisfy the given system of equations. We can use any method of solving systems of linear equations, such as substitution or elimination. Here, we will use the elimination method:
Multiplying the first equation by -4 and adding it to the second equation, we get:
-20b - 36c = -2
Multiplying the first equation by -7 and adding it to the third equation, we get:
29b + 45c = 8
Multiplying the second equation by -29/20 and adding it to the third equation, we get:
-21b - 39c = 67/10
Now we have three equations in two variables. We can solve for b and c using any method, such as elimination or substitution. Here, we will use substitution:
From the second equation, we can solve for a in terms of b and c:
a = (2 - 2b - 3c)/4
Substituting this expression for a into the third equation, we get:
741/4 - 825/2 b + 639/6 c = 9
Simplifying and solving for b, we get:
b = (3/5) - (3/5) c
If this helps, please mark my answer as brainliest
Substituting this expression for b into the second equation, we get:
(27/5) c = (2/5)
Solving for c, we get:
c = -(2/27)
Substituting this value of c into the expression for b, we get:
b = (3/5) - (3/5) (-2/27) = (11/27)
Substituting the values of a, b, and c into the expression 741a + 825b + 639c, we get:
741a + 825b + 639c = 741[(2 - 2b - 3c)/4] + 825b + 639c
= 741[(2 - 2(11/27) - 3(-2/27))/4] + 825(11/27) + 639(-2/27)
= 741(5/27) + 275/3 - 426/9
= 1375/9
Therefore, 741a + 825b + 639c = 1375/9.
What is the value of the expression shown?
|7|
A) –7
B) 7
C) – 1/7
D) 1/7
Can you please help with this? Thanks!
A
∠A and
∠
B
∠B are supplementary angles. If
m
∠
A
=
(
x
+
4
)
∘
m∠A=(x+4)
∘
and
m
∠
B
=
(
2
x
−
7
)
∘
m∠B=(2x−7)
∘
, then find the measure of
∠
A
∠A.
Answer:
Step-by-step explanation:
so its 23 cause .
The container that holds the water for the football team is 1/2 full. After pouring out 2 gallons of water, it is 1/3 full. How many gallons can the container hold?
What is area of the composite shape? ___ sq. cm.
Answer:
216 cm^2
Step-by-step explanation:
14 x 12 = 168
(12 x 8)/2 = 48
168+48= 216
Answer:
216 cm^2
Step-by-step explanation:
Which of the following combinations of side lengths will form a triangle with vertices X, Y, and Z? (will give brainliest)
(A.) XY = 18 mm , YZ = 20 mm , XZ = 39 mm
(B. ) XY = 17 mm , YZ = 20 mm , XZ = 36 mm
(C.) XY = 16 mm , YZ = 20 mm , XZ = 37 mm
(D.) XY = 17 mm , YZ = 19 mm , XZ = 37 mm
Answer:
The answer is B and D
Step-by-step explanation:
Why did you post the same question twice?
If you have any questions ask me please! :)
Answer:
B
Step-by-step explanation:
hope this helps
Let a+1 = b+2 = c+3 = d+4 = a+b+c+d+5. What is a+b+c+d?
It comes out that, b = a-1 , c= a-2 & d= a-3. On substituting the above and converting the everything into “a” it comes out that a = 2/3 And a+b+c+d = 4a - 6
The answer is -10/3.
Which equation is true when n = 4?
Answer:
The answer is D
Step-by-step explanation:
2(n+6)=20
2 times n equals 2n
2 times 6 equals 12
so, 12 plus 2n equals 20
make 2n the subject of formula so, 2n= 20-12 (the sign will change when coming past the (=) sign
2n= 8
n=2/8
n=4
Darla’s dinner at a restaurant cost $23.18 before tip. She wants to leave a 20% tip. What is the total cost of the dinner after Darla adds the tip?
Answer:
$27.816
Step-by-step explanation:
First we have to find out what 20% of 23.18 is. Let x represent the amount of the tip.
(cross multiply)
20 = x
100 23.18
20 x 23.18 = 463.6
463.6 ÷ 100 = 4.636
x = $4.636
Now we add the amount of the tip to the original price of the dinner.
23.18 + 4.636 = 27.816
Therefore the total cost of the dinner including the tip is $27.816
Mm what about this one? Help please ♡☆ ty ty!♡
Answer:
54
Step-by-step explanation:
[tex] < 2 = 180 - 109 \\ = 71 \\ < 1 = 180 - 71 - 55 \\ = 54[/tex]
The measure of ∠1 is 54 degrees by angle sum property
We have to find measure of angle 2 before finding angle 1 ∠1
∠2 + 109 = 180
Subtract 109 from both sides
∠2 = 180-109
∠2 =71 degrees
From angle sum property theorem we know that in any triangle the sum of angles is 180 degrees
∠1 + 71 +55 = 180
∠1 + 126 =180
Subtract 126 from both sides
∠1 = 180-126
One hundred eighty minus one hundred twenty six is equal to fifty four degrees
∠1 = 54 degrees
Hence, the measure of ∠1 is 54 degrees by angle sum property
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ1
can someone help me plot these??
(+30 points)
Answer:
Heres the answer to your question. Hope this helps!
Please! I have class again tomorrow and homework is due! Urgent!
please help me with this
Answer:
Step-by-step explanation:
The angles GCJ and ACB are congruent.
So GCJ=ACB=63°.
And in Triangle ABC the sum of all angles is 180°.
Such an angle of BAC is calculated by:
The sum of all angles = ABC + BCA + CAB
180 = 90 + 63 + CAB
CAB = 27°
Then again angle KAI and CAB are congruent then
KAI = 27°
Read more about congruent angles:
brainly.in/question/224583081
?? (,,•﹏•,,) please help <(_ _)>
Tysmm!♡☆
Answer:
The solution is ([4], [19]).
Step-by-step explanation:
To solve the system of equations using the substitution method, we can follow these steps:Step 1: Start with the given equations:
y = 4x + 3 (Equation 1)
y = 7 + 3x (Equation 2)Step 2: Choose one of the equations and solve for one of the variables in terms of the other variable. Let's choose Equation 1 and solve for y in terms of x:
y = 4x + 3Step 3: Substitute the expression for y from Equation 1 into Equation 2 and solve for x:
4x + 3 = 7 + 3x (Substituting y = 4x + 3 from Equation 1)
4x - 3x = 7 - 3
x = 4Step 4: Substitute the value of x found in Step 3 back into either Equation 1 or Equation 2 to solve for y. Let's use Equation 1:
y = 4(4) + 3 (Substituting x = 4)
y = 19So the solution to the system of equations is x = 4 and y = 19. Therefore, the solution is ([4], [19]).
Luke walked 6 blocks from his house to the bus stop. He rode the bus 24 blocks to the post office. Later, he came home the same way. How many blocks did Luke travel in all?
Answer:
60
Step-by-step explanation:
First you have to get how long it took to get there, you can do that by adding 6 and 24 (walking distance and bus ride distance) That will get you 30 now we need to times that by 2 to get how long it took to get there and to get back. That will make the answer 60!
If you have any questions please ask me! :)
