From your conclusions in part E, how many triangles can be constructed based on the given conditions?
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What are the given conditions?
Related Questions
I need help for 2,3, and 4
Answers
Answer:
2.x = -1 , y = 4
3.
x = 7, y = -1
4.
x = 1, y = 2
Step-by-step explanation:
2. 6x + 2y = 2, -3x - 4y = -13
3. 4x + 8y = 20, -4x + 2y = -30
4. y = -3x + 5, 5x - 4y = -3
2.We have to determine the solutions of this system of equations, basically look for x and y. First, let's solve through elimination.
6x + 2y = 2
-3x - 4y = -13
Multiply the second equation by 2 :
6x + 2y = 2
-6x - 8y = -26
Add the equations and solve for y :
-6y = -24
Divide both sides by -6 :
y = 4
Now that we have found y, we can substitute 4 in y of the first equation :
6x + 2(4) = 2
6x + 8 = 2
Subtract 8 from both sides :
6x = -6
Divide both sides by 6 :
x = -1
3.
4x + 8y = 20
-4x + 2y = -30
We are asked to solve in elimination style, do as followed :
4x + 8y = 20
-4x + 2y = -30
Add and solve for y :
10y = -10
Divide 10 from both sides to get y alone :
y = -1
Now that we know y, we can substitute it into the first equation :
4x + 8(-1) = 20
4x - 8 = 20
Add 8 to both sides :
4x = 28
Divide 4 from both sides :
x = 7
4.
y = -3x + 5
5x - 4y = -3
We are asked to solve with substitution :
Since the first equation has y alone, we can replace it with y in the second equation :
5x - 4(-3x + 5) = -3
Distribute :
5x + 12x - 20 = -3
Combine like terms :
17x - 20 = -3
Add 20 to both sides :
17x = 17
Divide 17 from both sides :
x = 1
Now that we know y, we can substitute x in the first equation with 1 :
y = -3(1) + 5
y = -3 + 5
y = 2
Please help!! The picture but low has the question and the answers.
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Answer:
i think its c but it could be a too
We predicted it was going to rain 2 inches, but it actually rained 10 inches. What is our percent error?
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Answer:
You were off by 80%
Step-by-step explanation:
Two rovers are exploring a planet. The system of equations below shows each rovers elevation y at time x.
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If you divide the second equation by 3 it equals the first equation, so they’re the same
9.16 rounded to the nearest hundredth
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Answer:
9.20
Step-by-step explanation:
9.12 because 6 rounded to nearest hundredth is 10 and that is a whole number. You also already know that 16 is a higher number than ten so it would be rounded to 20 or in this case 2. Hope this helps :)
Pleasee answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
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Answer:
6,5
mmkm
k
m...mm
m.m
m
m
m
m
m
m
Can someone check all my answers? thanks
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Answer:
By the looks of it you got them all, correct!
Your handwriting is quite nice by the way!
Step-by-step explanation:
Have a good day!
Answer:
i don't know the answer but can you help me with a question
Simplify the expressions by distributing the negatives and combining like terms. Did I do it right ✅??
Answers
Answer:
Correct
Step-by-step explanation:
You did it right
A metalworker has a metal alloy that is 25% copper and another alloy that is 70% copper. How many kilograms of each alloy should the metalworker combine to create 100 kg of a 61% copper alloy?
Answers
Answer:
The metal worker should use 10 kgs of 25% copper alloy and 40kgs of 70% copper alloy to make it
Step-by-step explanation:
Answer:
The metalworker should use 10 kgs of 25% copper and 40 kgs of 70% alloy to make it.
if a scale drawing is 0.75 inches and the original drawing is 1.25 inches what is the scale factor
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Answer:
The scale factor is = 0.75 ÷ 1.25 =
[tex] \frac{3}{5} = 0.6.[/tex] i.e. 3:5//
Please answer for Brainliest.
Answers
1.Which expression calculates the speed in meters per second of an object that travels a distance of 40 m every 10 s?
10 ÷ 40
40 + 10
40 ÷ 10
40⋅10
2.How long would it take to travel 425 m at the rate of 50 m/s ?
8.5 s
375 s
475 s
21,250 s
3.A boat travels for 4 hours at a constant speed of 35.25 km/h.
How far does the boat travel?
105 km
120 km
141 km
352 km
4.Anton's family drove 216 mi to the lake averaging 48 mi/h . On the return trip home they averaged 54 mi/h .
What was the total time that Anton's family spent driving to and from the lake?
8.0 h
8.5 h
9.0 h
9.5 h
5.A train traveled 210 mi in 3.5 h to its first stop. It then continued on traveling another 130 mi in 2.5 h.
What was the average speed of the train for the entire journey?
Round to the nearest tenth, if necessary.
52.0 mi/h
56.0 mi/h
56.7 mi/h
60.0 mi/h
Answers
Answer:
Step-by-step explanation:
The key for this assignment is look at the units and values given. What is the desired units/value? You could also use d = r*t assuming a constant rate.
1.) If you look at the units for distance and time, and you know you want m/s for speed, then you can see division would be solution.
d = rt
40 = r(10)
r = 40/10
2.) d = rt
425 = (50)t
t = 8.5s
3.) d = rt
d = (35.25)(4)
d = 141km
4.) Add the distances together by using the equation twice for the way there and back.
216 = (48)t
t = 4.5
216 = (54)t
t = 4
4.5 + 4 = 8.5 hours
5.) Do the same thing from problem number four
210 = r(3.5)
r = 60m/h
130 = r(2.5)
r = 52mi/h
Average means the sum of the values divided by 2
0.5(60+52) = 56mi/h
Please Help- Worth 15 Points (NO SCAM ANSWERS)
JOBS Mr. Kimball sells computer software. He earns a base salary of $41,250 and 8% commission on his sales. Write an equation to represent Mr. Kimball’s total pay p after selling d dollars of software.
Answers
Answer:
Its actually only 8 points but its ok.
Hope this helps!
Step-by-step explanation:
P=0.08d+41,250
Tell me if I got it wrong plz!!
The sum of 4 consecutive integers
is 354
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Consecutive integers are numbers in a row on a number line (ie. 4,5,6 or 457,458,459 or 12341, 12342, 12343). They can also be negative as long as the problem doesn't specify if it's positive.
x= first integer
x+1= second integer
x+2= third integer
x+3= fourth integer
Add the four integers equal to 354.
x + (x+1) + (x+2) + (x+3)= 354
combine like terms
4x + 6= 354
subtract 6 from both sides
4x= 348
divide both sides by 4
x= 87 first integer
THREE REMAINING INTEGERS
x+1= 87 + 1= 88 second integer
x+2= 87 + 2= 89 third integer
x+3= 87 + 3= 90 fourth integer
ANSWER: The four consecutive integers are 87, 88, 89 and 90.
Hope this helps! :)
Please mark me as brainliest.
Answer:
Step-by-step explanation:
6(1-5m) =
3(4+3r) =
3(6r+8)
4(811+ 1+2) =
-(-2-n) 7) =
-6(7k+11) =
-3(71+1) =
-6(1 +116) =
-10(a - 5) =
-3(1 + 2v) =
-4(3.r+2)=
(3 - 76).-2 =
-2018.x+20) =
(7 + 190). -15 =
(x + 1). 14=
Answers
Answer:
6(1-5m) = 6 − 30 m
3(4+3r) = 12 + 9 r
3(6r+8) = 18 r + 24
4(811+ 1+2) = 3256
-(-2-n) 7) = 14 + 7 n
-6(7k+11) = − 42 k − 66
-3(71+1) = − 216
-6(1 +116) = − 702
-10(a - 5) = − 10 a + 50
-3(1 + 2v) = − 3 − 6 v
-4(3r+2) = − 12 r − 8
(3 - 76)-2 = − 75
(-2018x+20) = − 2018 x + 20
(7 + 190)-15 = 182
(x + 1)14 = 14 x + 14
PLEASE HELP! i’m having a hard time understand this.
Answers
Answer:
Here' a quick summary of the answers:
Question a: center = (3, 2), scale = 9 / 20
Question b: center = (8, -1), scale = 3
Question c: center = (6, 4), scale = 3 / 2
Question d: center = (5, 3), scale = 2
Step-by-step explanation:
By "find the center of dilation", they're asking you to name the x/y point at which the image is scaled from.
The scale factor is the amount that the points are being scaled by to reach the "prime" of them (noted by the apostrophe). e.g., A would be the original point, and A' would be the transformed one.
To answer these, we'll need to pay careful attention to the coordinates in the graph. To get the scale, you can simply look at the equivalent side on both triangles, and compare the lengths.
In question A for example, we can see the line AC is 10 units wide, and the equivalent line A'C' is 4.5 units wide. This tells us that the triangle was scaled down by a factor of 4.5/10, or 9/20, or 45%
Finding out the center of dilation can be slightly more complicated. Note that there may be an easier way to do this that I am personally unaware of, but one way to do it would be to take the original and transformed versions of two points, e.g. A and A', and B and B', and use those points to define lines. We can then find where those lines intersect, and that tells us where the point of origin is.
Question A:
For example, in question A, the points A and A' are at (7, 4) and (5, 3) respectively. Remember that the slope of a line is equal to rise over run. In other words
s = (Ay - A'y) / (Ax - A'x)
s = (4 - 3) / (7 - 5)
s = 1/2, or 0.5
Now we can take that slope, and either of the the two points we used, and apply it to a point to define a line, using the formula Δy = sΔx
y - Ay = s(x - Ax)
y - 4 = 0.5(x - 7)
y = 0.5x - 3.5 + 4
y = 0.5x + 0.5
That gives us the line along which point A was translated when the triangle was scaled. Now let's find the same for point B:
s = (By - B'y) / (Bx - B'x)
s = (1 - 0) / (4 - 5)
s = 1 / -1
s = -1
And apply that slope to build our line:
y - By = s(x - Bx)
y - 0 = -1(x - 5)
y = -x + 5
Now that we have two lines created, we can simply equate them, solving for x, which tells us the x location of the center of dilation.
Given:
y = -x + 5
and
y = 0.5x + 0.5
we can say:
-x + 5 = 0.5x + 0.5
-2x + 10 = x + 1
-3x = -9
x = 3
So the center of dilation has an x coordinate of 3. To find it's y coordinate, we merely need to plug that into one of the line equations we already worked out:
y = -x + 5
y = -3 + 5
y = 2
So for question A the center of dilation is at (3, 2)
Question B:
This one is actually much easier, as we don't need to work out line equations to find the point of origin. The thing to notice here is that A and A' have the same x coordinate, forming a vertical line. Also B and B' have the same y coordinate, forming a horizontal line. All we need then is to know where those lines intersect. We can get that by taking the x coordinate of A and the y coordinate of B.
A lies at (8, 0), and B lies at (5, -1), so the center of dilation is (8, -1)
Using the same logic as above to find the scale, we get a scale of 3. This is easiest by comparing |CA| with |C'A'|, the left sides of the triangles. As you can see, that side is scaled up by a factor of 3.
Question C:
This one is far easier, as it is very obvious from the image that point A, at (6, 4) is the point of dilation. Using the same technique as above we can see that the scale is 3/2, or 1.5
Question D:
Again much easier, as we can see that the point of origin is on the halfway point of the side CA, (5, 3). Using the same method as above, we can see that the scale is 2.
Given right triangle ABC with altitude BD is drawn to hypotenuse AC. If AB=5 and AD=1, what is the length of AC ? (Note: the figure is not drawn to scale.)
Answers
Answer:
x = 24.99 or 25
Step-by-step explanation:
Using sin to figure out the angle of ABD, we can figure out the angle of CBD by subtracting it from 90°.
sin y = (1/5)
y = 11.54°
90 - 11.54 = 78.46°
Now using Pythagorean Theorem (a²+b²=c²) we can solve for line BD.
1² + b² = 5²
1 + b² = 25
b² = 24
b = √24
Now we can use tan to figure out the length of segment DC.
tan(78.46) = z/√24
z = 23.99
We can now combine the known length of segment AD and the length of DC to get x.
1 + 23.99 = 24.99 or about 25.
9) 8.081 +
+ 0.6 = 10.201
10)
- 3.328 = 0.96
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The polynomial 2x³ + qx² + rx + 2 has a
factor (x - 1) and leaves a remainder of
12 when divided by (x - 2). Find the
constants q and r and hence the other
factors of the polynomial.
Answers
Answer:
q = 1 , r = -5
other factors of polynomial:
(2x - 1) & (x + 2)
Step-by-step explanation:
In the first part, substitute x = 1 make it equal to 0.
Substitute x = 2 and make it equal to 12.
Rearrange both, until you have two linear equations.
Solve the set of simultaneous equation to find q and r .
Second part place the value of q and r to have the full polynomial.
Carry out long division, dividing the polynomial by the factor that's stated in the question (x - 1) and you will have a quadratic equation.
Factorise the quadratic equation to have the two other factors of the polynomial.
Hope this helps:))
y= 2? + 16x + 64
1. Identify a, b, and c
b=
C=
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ask a tutor for help with that my dude I don't know sorry
(4 x 1) + (0 x 1/10) + (7 x 1/100) + (6 x 1/1000)
Answers
Answer:
1019/250 x
Step-by-step explanation:
4x1+
0x1
10
+
7x1
100
+
6x1
1000
Question 9: emathintruction can you guys help me?
Answers
Answer:
Step-by-step explanation: answer 3
what's the area to this problem?
Answers
.........
i dont know explain your?
The sale price of a swing set is $90. What was the original price? (2 points)
SALE
75% OFF!
HELPPP!
Answers
Answer:
157.05
Step-by-step explanation:
help me pls!!!! :c rip
Answers
Answer:
p^⁴/5
Step-by-step explanation:
Step-by-step explanation:
p^4/5. I just know the answer
pls help me its due now
Answers
Answer:
answer : 90
Step-by-step explanation:
Answer:
90 m
Step-by-step explanation:
30% of 300 m =
= 30% * 300 m
= 0.3 * 300 m
= 90 m
Which statements are true? Check all that apply. Negative 2.5 = negative 2 and one-half –1.5 > –0.5 –0.5 < 0 –2.5 < –2 1 and one-half greater-than 1.5
Answers
Answer:
a) Negative 2.5 = negative 2 and one-half
Step-by-step explanation:
Which statements are true? Check all that apply.
Comparing the given options
a) Negative 2.5 = negative 2 and one- half
This is correct
b) –1.5 > –0.5
This is wrong
-0.5> -1.5
c) –0.5 < 0 –2.5 < –2
-0.5 < -2.5
This is wrong.
d) 1 and one-half greater-than 1.5
This is wrong
Therefore, only option a is Correct
Answer: The answer is A C D
Step-by-step explanation: I took the quiz
Have a great day and a goo spring break!!!!!
You earn $5 for every driveway you shovel in a snowstorm. How many driveways do you need to shovel to earn $65?
Answers
Answer:
13
Step-by-step explanation:
65 divided by 5
5. After t seconds, a ball tossed in the air from the ground level reaches a height
of h feet given by the function h(t) = 144t – 16t^2. PART A: What is the height of
the ball after 3 seconds? PART B: After how many seconds will the ball hit the
ground before rebound? -
Answers
Answer:
a = 288 feet, b = 9 seconds
Step-by-step explanation:
t = 3, solve for h(t)
h(3) = 144(3)-16(3)^2
=432-144
=288
H(t) = 0, solve for t
0=144(t)-16(t)^2
t = 0, t =9
Three angles are complementary. One angle is double the smallest angle. The largest angle is
triple the smallest angle. Find the measures of
the three angles.
Answers
Answer:
Step-by-step explanation:
A+B+C = 90°
A ≤ B ≤ C
C = 3A
B = 2A
A+B+C = A + 2A + 3A = 6A = 90°
A = 15°
B = 2A = 30°
C = 3A = 45°