CPCTC is the missing reason in step six.
CPCTC states that corresponding part of the congruent triangles are congruent.
Here, Given: ABCD is a quadrilateral,
In which AD ≅ BC and AD║BC
Prove : ABCD is a parallelogram.
Statement Reason
1. AD ≅ BC; AD║BC 1. Given
2.∠CAD and ∠ACD are alternative angles 2. Definition of alternative angles
3. ∠CAD ≅∠ACB 3. alternative angles are congruent
4. AC ≅ AC 4. Reflexive property
5.△CAB ≅ △ACB 5. SAS congruence postulate
6. .AB ≅ CD 6. CPCTC
7. ABCD is a parallelogram 7. Parallelogram side theorem
Therefore, CPCTC is six step.
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Need help on this please
Answer:
157.08m²
Step-by-step explanation:
Since the area of a circle is A=πr²
The radius is 10, so
A=π10²
A=314.16 (rounded to nearest hundredth)
Half of that is 157.08.
It was recently estimated that homes without children outnumber homes with children by about 8 to 7. If there are 3870 homes in a county, how many of them are homes without children?
Answer: x = 2,340 homes without children
There are 2,340 homes without children.
Step-by-step explanation:
'x' represent the number of homes without children
'y' represent the number of homes with children
x : y = 9 : 7
Since the total number of homes is 4160 means x + y = 4160.
From x + y = 4160 follows y = 4160 - x.
Plug y = 4160 - x into x : y = 9 : 7
x : (4160 - x) = 9 : 7
Which function is increasing and has a vertical asymptote at x = 5?
A. f(x) = -In x + 5
B. f(x)= - In (x – 5)
C. f(x) = ln(x – 5)
D. f(x) = ln x + 5
I need help ASAP with both
Answer:
No for the first one, yes for the second.
Step-by-step explanation:
Plug in the given numbers and see if it works.
15(1) + 3(4) = 10
15 + 12 = 10.
27 ≠ 10
Since 27 does not equal 10, we can already see that solution (1,4) will not work for these equations.
Now for the second problem, do the same thing.
10 = 1 + 9.
This is true, but remember to check the second equation just to be sure.
10 = 4(1) + 6
10 = 4 + 6
This is also true, so it (1,10) is a solution for the second system of equations.
f(x) = -4x2 + 5x
Find f (6)
Right Triangle ABC has its right angle at C, BC = 4, and AC= 8.
What is the value of the trigonometric ratio?
cos B
csc B
tan A
Drag a value to each box to match the trigonometric ratio?
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Answer:
cos B = (√5)/5
csc B = (√5)/2
tan A = 1/2
Step-by-step explanation:
The length of hypotenuse AB is given by the Pythagorean theorem:
AB² = AC² +BC²
AB² = 8² +4² = 64 +16 = 80
AB = √80 = 4√5
The mnemonic SOH CAH TOA can help you remember the needed ratios.
Cos = Adjacent/Hypotenuse
cos B = BC/AB = 4/(4√5)
cos B = (√5)/5
__
Sin = Opposite/Hypotenuse
csc = 1/sin = Hypotenuse/Opposite
csc B = AB/AC = (4√5)/8
csc B = (√5)/2
__
Tan = Opposite/Adjacent
tan A = BC/AC = 4/8
tan A = 1/2
Answer:
tan A = 1/2
cos B = √5/5
csc B = √5/2
Step-by-step explanation: I took the test
WHOEVER HELPS AND GETA IT RIGHT I WILL GOVE BRAINLY!!!!!
Answer:
B. {x| -3 < x ≤ 2}
Step-by-step explanation:
The unshaded "O" on "-3" implies that -3 is not included. Which means -3 < x or x > -3.
The shaded "O" on "2" implies that 2 is included, therefore, x is either equal to 2 or less than 2 (x ≤ 2) since the line is towards our left side. This, we would have:
{x| -3 < x ≤ 2}
Draw a model to show 3/4 of 16
If you can’t draw a model to show
You can explain it
Answer:
Answer Below
Step-by-step explanation:
3/4 of 16
Depends of what you want.
You can make a pie chart. So you have 4 sections and then you shade 3. Then you have the word 4 in each sector.
Answer:
Draw a box and split it into four pieces. Write 4 in each of those pieces. Put a "{" or "}" around 3 of them. Next to it write. 4 x 3 OR 4 + 4 + 4 = 12
Hope that helps!
Step-by-step explanation:
The graph show how the amount of fuel in the gas tank changes over time. Choose the graph that correctly combines the graphs of Car A and Car B to show when Car B has more fuel in its tank than Car A.
Answer:
its b
Step-by-step explanation:
b(x)=[x+4], what is b(-10)?
Step-by-step explanation:
b(x) = x + 4
b( -10) = - 10 + 4
= - 6
Hope it will help :)❤
Answer:
-6
Step-by-step explanation:
b(-10) = -10 +4
= -6
What is the solution to the system of linear equations graphed below?
Answer:
Step-by-step explanation:
The solution is the point where the lines intersect! (3.5,-4)
The ratio of a model car's dimensions to the actual car's dimensions is 1/52. The model has a length of 3 in.
What is the length of the actual car? Enter your answer in feet.
The actual car is ___feet long.
Answer:
13 feet
Step-by-step explanation:
3 inches times 52 equals 156.
156 divided by 12 equals 13.
The length of the actual car if The ratio of the model car's dimensions to the actual car's dimensions is 1/52, The model has a length of 3 inches, is 13 feet.
What is the scale factor?To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilized. It is employed to change the size of an object.
The ratio of one object's scale to that of a new object, which has its representation but is larger, is known as a scale factor (bigger or smaller).
Given:
The ratio of a model car's dimensions to the actual car's dimensions is 1/52, The model has a length of 3 inches,
Calculate the actual length of the car as shown below,
Models car length / The actual length of the car = 1 / 52
3 / The actual length of the car = 1 / 52
The actual length of the car = 3 × 52
The actual length of the car = 156 inches
The actual length of the car = 156 × 0.0833 feet (1 inch = 0.0833)
The actual length of the car = 13 feet
Thus, the actual car is 13 feet long.
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factor the expression-15x +39
Answer:
3(5−13)
Step-by-step explanation:
..............
Answer:
-3(5x-13)
Step-by-step explanation:
The greatest common factor is 3 and you want the # with the variable to be positive, usually, so just factor -3 out and that's what you get.
PLEASE HELP ON #3 ASAP!
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Answer:
1a: x+3 = 5
1c: 6 = 2z
2b: x = 2
2d: 3 = z
3: the solutions make the hangars balance
Step-by-step explanation:
1. We can write the equations by listing the contents of the hangar and using an equal sign to show the balance between left side and right side. It can work well to put left side contents of the hangar on the left side of the equal sign.
A: x + 3 = 5
C: 1 + 1 + 1 + 1 + 1 + 1 = z + z simplifies to 6 = 2z
__
2. B: We can subtract 3 from both sides of the hangar (and equation) to find the value of x.
(x +3) -3 = 5 -3
x = 2 . . . . . hangar balances with 2 on the right
D: We can divide both sides of the hangar by 2, splitting the content into two equal parts. Then one of those parts can be removed from each side.
2(3) = 2(z)
3 = z . . . . . . hangar balances with 3 on the left
__
3. The found values will keep the hangar in balance when they are substituted for the corresponding variables.
A: 2 + 3 = 5
C: 1 + 1 + 1 + 1 + 1 + 1 = 3 + 3
An opera theater has a sale: "Buy two tickets and get the third
ticket 60% off!" Peter uses the sale and spends $180 for three
tickets. What is the price of a ticket when there is no sale?
Answer:
$75
Step-by-step explanation:
let 'x' = full price ticket
x + x + 0.4x = 180
2.4x = 180
x = 75
Which inequality represents the sentence below?
Two more than a number is less than 14.
0 2+ns 14
O 2+n< 14
O 2+ n2 14
O >
2+n> 14
Answer:
it is b
Step-by-step explanation:
What is the distance between (4, 3) and (9, 15) on the coordinate plane? Select two that apply.
V169 units
V144 units
5 units
13 units
12 units
Answer:
169 units
13 units
The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.
What is the distance between two points?Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
The coordinate of the points is given below.
(4, 3) and (9, 15)
Then the distance between the two points (4, 3) and (9, 15) will be given as,
D² = (9 - 4)² + (15 - 3)²
D² = 5² + 12²
D² = 25 + 144
D² = 169
D = 13 units
The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.
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The price of an Item has been reduced by 70%. The original price was $90. What is the price of the item now?
Answer:
The price of the item is $27.
Step-by-step explanation:
$90 is reduced by 70% means: $90 - 0.70*$90 = (1 - 0.70)*$90 = 0.30*$90 = $27. The price of the item is $27 now.
Answer: 63
Reason: My brain
How many solutions does the system of equations have?
Answer:
The system has just one solution, it is (1,4).
Step-by-step explanation:
When we have a system of linear equations, the solution is given by the intersection point of the two lines.
So if we see the graph, the intersect point is at (1,4). Therefore, the system has a unique solution.
I hope it helps you!
the sales tax rate in new york city is 8.9%. Find the tax charged on a purchase of $208, and the total cost
Answer:
$18.51 tax
$226.51 total cost
Step-by-step explanation:
208 x 0.089 = 18.51 tax
what is 213,548 to the nearest hundreds
Answer:
Step-by-step explanation:
5 is in the hundreds place.
The answer should be 213500
Answer:
Step-by-step explanation:
"to the nearest hundreds" requires rounding off the hundreds place. We get 213,500 because the 48 is less than 50, indicating rounding down.
Find the third term of a proportional if the first, second and fourth terms are 24, 36, 126
Answer:
The third term of a proportional is: 84
Step-by-step explanation:
We know that if a, b, c and d are in proportion, then:
a × d = b × c
In our case, we are given the first, second, and fourth terms are 24, 36, 126.
a = 24
b = 36
d = 126
and we have to determine the third term 'c'.
as we know that if a, b, c, and d are in proportion, then:
a × d = b × c
Thus,
substituting a = 24, b = 36, d = 126 to determine
24 × 126 = 36 × c
c = (24 × 126)/36
c = 3024/36
c = 84
Thus, the third term of a proportional is: 84
anyone know what company has a greater rate per window and explain please.
Answer:
Company B
Step-by-step explanation:
Company A charges 25 per window, company b charges 40 per window, and company c charges 35 per window so company b has the highest rate
Answer:
company a the rate per window is $75
Step-by-step explanation:
the graph shows company a charges $75 for 1 window
company b (by the chart) charges $55
company c (using the equation) charges $60
35(1)+25=$60 (1 in the equation is the number of windows)
How do I do 2 and 3
Answer:
y=52
x=46
questions 3
x=84
y=84
Step-by-step explanation:
Answer:
#2: x = 64 y = 32[tex]\sqrt{3}[/tex]
#3: x = 6[tex]\sqrt{2}[/tex] y = 6[tex]\sqrt{2}[/tex]
Or, if you are supposed to write your answers in decimal form instead:
#2: x = 64 y = 55.43
#3: x = 8.49 y = 8.49
Step-by-step explanation:
Special right triangles have specific angle measurements that tell you the lengths of each side. I attached an image that explains the rules of different special right triangles in case you need it :)
#2 is a 30-60-90 triangle. This means that x (the side opposite the 90° angle) is two times the length of the shortest side (32×2), and y is equal to 32[tex]\sqrt{3}[/tex].
#3 is a 45-45-90 triangle. This means that x (the side opposite the 45° angle) is equal to y (the side opposite the other 45° angle). The hypotenuse, 12, is x[tex]\sqrt{2}[/tex] (or y[tex]\sqrt{2}[/tex], since x = y). This means 12 = x[tex]\sqrt{2}[/tex]
321. The lanes on the circular outdoor track are one meter wide. By running in the lane next to the innermost lane, Corey ran extra distance in an eight-lap race. How much
The value of y varies directly with x and y= 7.2 when x= 1.6, find y when x=2.4
Answer:
When x = 2.4, we have y = 10.8
Step-by-step explanation:
A direct variation of two variables, x, and y, can be written as:
y = k*x
Where k is a constant, called the constant of variation.
We know that y = 7.2, when x = 1.6
Then we can replace these two in the above equation to get:
7.2 = k*1.6
Now we can solve this for k:
7.2/1.6 = k = 4.5
Then our relation is:
y = 4.5*x
Now we want to find the value of y, when x = 2.4
Then we just need to replace x by 2.4 in the above equation:
y = 4.5*(2.4) = 10.8
y = 10.8
Can somebody help will give brainliest thank you
Step-by-step explanation:
1. the equation of a line is y = mx + c
m is the gradient and you can work this out by the change in y ÷ by the change in x
c is the y-intercept, which is where the line intercepts the y line.
2i.
(4 - 1) ÷ (2 - 1) = 3
The function f(x) =5x coverts x nickels to pennies. Find a function that converts X Pennys to Nichols then convert 50 pennies to Nichols. 
Answer:
[tex]f'(x) = \frac{1}{5}x[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5x[/tex] --- Nickel to Penny
Required
Determine the function that converts penny to nickel
This question implies that we determine the inverse of the function.
We have:
[tex]f(x) = 5x[/tex]
Represent f(x) with y
[tex]y = 5x[/tex]
Swap the positions of x and y
[tex]x = 5y[/tex]
Make y the subject by dividing both sides by 5
[tex]\frac{1}{5}x = \frac{5y}{5}[/tex]
[tex]\frac{1}{5}x = y[/tex]
[tex]y =\frac{1}{5}x[/tex]
Replace y with f'(x)
[tex]f'(x) = \frac{1}{5}x[/tex]
Hence, the function that converts x pennies to nickels is [tex]f'(x) = \frac{1}{5}x[/tex]
11.
(a) a radius 10.00
(bla diameter 17.5cm
2. Find the area in hectares of a rectangular piece of land
1.25km by 0.75km.
Answer:
Step-by-step explanation:
1.25 km × 0.75 km = 0.9375 km²
1 km = 100 hectares
0.9375 km² = 93.75 hectares²
Complete each equation so that it is true for no values of x.
x - 2 = -(__- x)
nswer:
(x +5)^2 = -2
Step-by-step explanation: w t f
We can subtract the constant to get ...
x^2 +10x = -27
Then add the square of half the x-coefficient:
x^2 +10x +5^2 = -27 +5^2
(x +5)^2 = -2 . . . . . . write as a square