Answer: If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
Step-by-step explanation:
If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
A contrapositive statement is when you take the original statement, "flip" it around, and write the opposite of the original statement. Here's an example:
Original statement: The grass is wet because it was raining.
Contrapositive statement: It was not raining, so the grass is not wet.
Notice how we "flipped" the original sentence around, as wrote it's "opposite".
Write the general polynomial p(x) if its only zeros are 1 4 and -3 with multiplicites 3 2 and 1 respectively what is the degree
Answer:
The 6th degree polynomial is [tex]p(x) = (x-1)^3(x-4)^2(x+3)[/tex]
Step-by-step explanation:
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Zero 1 with multiplicity 3.
So
[tex]p(x) = (x-1)^3[/tex]
Zero 4 with multiplicity 2.
Considering also the zero 1 with multiplicity 3.
[tex]p(x) = (x-1)^3(x-4)^2[/tex]
Zero -3 with multiplicity 1:
Considering the previous zeros:
[tex]p(x) = (x-1)^3(x-4)^2(x-(-3)) = (x-1)^3(x-4)^2(x+3)[/tex]
Degree is the multiplication of the multiplicities of the zeros. So
3*2*1 = 6
The 6th degree polynomial is [tex]p(x) = (x-1)^3(x-4)^2(x+3)[/tex]
Which graph does not represent a function?
On a coordinate plane, a curved crosses the y-axis 1 time and the x-axis 2 times.
On a coordinate plane, a straight line with a negative slope crosses the y-axis 1 time and the x-axis 1 time.
On a coordinate plane, an oval line crosses the y-axis 2 times and the x-axis two times.
On a coordinate plane, a line with an s curve crosses the y-axis 1 time and the x-axis 1 time.
Answer:
On a coordinate plane, an oval line crosses the y-axis 2 times and the x-axis two times.
Step-by-step explanation:
Vertical line test.
If you draw a vertical line, parallel to the y-axis and it crosses a line or shape twice, it is not a function.
On a coordinate plane, an oval line crosses the y-axis 2 times and the x-axis two times. The correct option is C.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
On taking the vertical line test it is observed that If you draw a vertical line, parallel to the y-axis and it crosses a line or shapes twice, it is not a function.
Therefore, on a coordinate plane, an oval line crosses the y-axis 2 times and the x-axis two times. The correct option is C.
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Which of the following is a factor of x3 + 2x2 - 25x – 50?
Answer:
(x - 5)(x + 2)(x + 5)
Step-by-step explanation:
x³ + 2x² - 25x - 50
x³ + 7x² - 5x² - 35x + 10x - 50
x(x² + 7x + 10) - 5(x² + 7x + 10)
(x - 5)(x² + 7x + 10)
(x - 5)(x² + 2x + 5x + 10)
(x - 5)(x(x + 2) + 5(x + 2))
(x - 5)(x + 2)(x + 5)
Help please! I'll mark brainliest!
Find the common difference of the arithmetic sequence
Answer:
The common difference is 1/5.
Step-by-step explanation:
Each new term is equal to the previous term, plus the common difference 1/5.
-2 + 1/5 = -10/5 + 1/5 = -9/5 = -1 4/5, and so on.
Answer:
Step-by-step explanation:
[tex]c.d.=-1\frac{4}{5} -(-2)\\=-\frac{9}{5} +2\\=\frac{-9+10}{5} \\=\frac{1}{5}[/tex]
Please help I need good grade #45
Answer:
Its A
Step-by-step explanation:
Problem 8: What is the experimental Probability of spinning a green or
blue *
Color
Number of
Spins
Green
6
Blue
9
Yellow
14
Orange
11
Does anyone know the answer?
Answer:
if u put a penny in a microwave it change color u should try
I need help!!!
Which point is a solution to the system of inequalities?
Answer:
Step-by-step explanation:
(-3,-2)
The bakery owner will use both machines to glaze a total of 375 dozen
doughnuts. She plans to start both machines at the same time.
Based on the rates fromwhat is the total number of hours it
will take both machines working together to glaze 375 dozen doughnuts?
Answer:
2250 i think
Step-by-step explanation:
Satish bought a bicycle wheel for $23.97. How much change should he receive if he gave the cashier two $20 bills?
Answer:
$16.03
Step-by-step explanation:
Two twenty dollars bills is forty dollars, so to find his change, subtract $23.97 from $40. This gives you $16.03.
The change should he receive if he gave the cashier two $20 bills is $16.03.
We have given that,
Satish bought a bicycle wheel for $23.97.
We have to determine the value of How much change should he receive if he gave the cashier two $20 bills.
What is the change of money?Change is the money returned after paying for something with more money than it costs
Two twenty dollars bills is forty dollars, so to find his change, subtract $23.97 from $40.
This gives you $16.03.
Two twenty dollars bills is forty dollars,
so to find his change, subtract $23.97 from $40. This gives you $16.03.
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Which of the following is a rational number but not an integer?
188, 13 2/5, -4, or -51
Answer:
Option C
Step-by-step explanation:
Rational numbers are numbers of the form p/q, where p and q are integers and q not equal to zero.
Integers are number of the form p/q , where q = 1
Option A : 188 => integer and rational
Option B: 13 => integer and rational
Option C :2/5 => rational but not integer ( because q = 5 and not 1 )
Option D : - 51 => integer and rational
Answer:
13 2/5Step-by-step explanation:
As,
Integers includes whole numbers, and negative of the whole numbers.
And Rationals includes every fraction, Integers and negative fraction.
So,
188, -4, and 51 are both Integers and Rationals.
But,
Only 13 2/5 is a mixed fraction included only in rationals and not in Integers
3. Sam has a total of 22 quarters and nickels. The coins total value is $2.90. How many quarters and nickels does he have?
Answer:
22?
Step-by-step explanation:
What is the constant of proportionality of the fowllowing equation y=4x
Answer:
4 is the constant in this case.
A bacteria population is going exponentially with a growth factor of 1/6 each hour. By what growth factor does the population change each half an hour select all that apply?
Answer:
The bacteria population will change with a growth factor of 1/12 for every half an hour or 1/12 per 30 minutes. (I don't know what the options are, but anything related to the answer I gave should be right.)
Step-by-step explanation:
Simple mathematics should get you the right answer. Here we are dealing with a fraction in a fraction. The first scenario should look like this: 1/6 / 1. Basically, that looks like one-sixth over one. Obviously, if we divide 1/6 by 1, we would get 1/6 itself again and we want to know what growth factor the population changes by for every half an hour. There are 30 minutes in half an hour and 60 minutes in one hour. Let's use the simplified terms to our advantage. Now, our first scenario should look like this: 1/6 / 60. Looks better now doesn't it? (Check the linked image to see the full scenario and how I did it in this next part.) For me, I divided 60 by 30 to get the scale factor, which is 2, then I divide 2 by 1/6 to get 1/12. Finally, we have 1/12 per half an hour! If I am wrong, please let me know and I hope this helps! :D
The length of a rectangle 4 yd is longer than its width. If the perimeter of the rectangle is 68 yd, find its length and width.
w + 4
------------------------
l l
l l w
l l
------------------------
Perimeter would be the sum of all the sides so: (w+4) + w + (w+4) + w
Perimeter is 60 yards according to your problem so: (w+4) + w + (w+4) + w = 60 yds
1.Simplify/combine like terms:
w + 4 + w + w + 4 + w =
4w + 8 =
Now it's a 2-step algebra equation
4w + 8 = 60
2.Subtract 8 on both sides
4w = 56
3.Divide both sides by 4
w = 14
Which arc is congruent to Arc E H? Arc G H Arc F H Arc G E Arc F G
Answer: GE
Step-by-step explanation:
uh i just know it’s the answer
Answer:
C. G E
Step-by-step explanation:
Pls Need help. Given rectangle WXYZ, find m<WXZ=
Answer:
40°
Step-by-step explanation:
90°-50°=40°
Pre-calc, Review the table of values for function k(x). (image attached)
Answer:
D) 44
Step-by-step explanation:
The limit of the function k(x) as x approaches -15 from the right side is 44. Therefore, option D is correct.
A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 16 it from the side of the house. Find the
length of the ladder Round your answer to the nearest tenth.
Answer:
The length of the ladder = 6.5077 ft
Step-by-step explanation:
Given A ladder leans against the side of a house
Given the angle of elevation of the ladder is 68° when the bottom of the ladder is 16 ft from the side of the house
Let 'C' be the point of observation.
Given CA= 16 ft
From right angle triangle
x = 16 × cos 68°
x = 16 × 0.4067
x = 6.5077
x = 6.5 ft
The length of the ladder = 6.5 ft
21 = 3 + 4n + 5n
please help
Answer: n = 2
Step-by-step explanation:
Answer:
n=2
Step-by-step explanation:
21 = 3 + 4n + 5n
21 = 3 + 9n
9n = 18
n = 2
;)
SHOW ALL WORK PLZ
1. 37cm= ___ mm 2. 20m=___cm 3. 34in=___mm 4. 20m=___km 5. 29km=___m
Answer:
3702000863.60.0229000Step-by-step explanation:
1 cm = 10 mm1 m = 100 cm1 in = 25.4 mm1 m = 0.001 km1 km = 1000 m1. Use proportions and cross-multiply:
[tex]\frac{X mm }{37cm} =\frac{10 mm}{1cm} \\x = 37 * 10 = 370[/tex]
2. Use proportions and cross-multiply:
[tex]\frac{20 m}{X cm} =\frac{1 m}{100cm} \\x=20*100=2000[/tex]
3. Use proportions and cross-multiply:
[tex]\frac{34in}{Xmm} =\frac{1in}{25.4mm} \\x=34*25.4=863.6[/tex]
4. Use proportions and cross-multiply:
[tex]\frac{20m}{Xkm} =\frac{1m}{0.001km} \\x=20*0.001=0.02[/tex]
5. Use proportions and cross-multiply:
[tex]\frac{29 km}{Xm}=\frac{1 km}{1000m} \\x=29*1000=29000[/tex]
please help marking like brainlist
Answer:
c
Step-by-step explanation:
The price of an item has been reduced by 20%. The original price was $35. What is the price of the item now?
Answer: The price of the item is now $28
Step-by-step explanation:
20% of 35 is 7 and 7-35=28
Answer:
$28
Step-by-step explanation:
35 - 20% = 28
Quadrilateral ABCD is a parallelogram. If adjacent angles are congruent, which statement must be true?
Answer:
Step-by-step explanation:
A parallelogram is a shape that has two sets of parallel. There are a number of examples of parallelogram including but not limited to, square, rectangle, rhombus etc
From the question, the answer is, the shape is a rectangle. This is because the question says that the shape has its adjacent angles congruent, this means that they are supplementary(i.e they add up to 180). A rectangle is the one who fits the perfect description
find the value of the trig function indicated
Answer:
[tex]\cos(\theta)=\frac{4}{5}[/tex]
Step-by-step explanation:
Step 1:
Let us find the missing side. We know this is a right triangle, so we can use the pythagorean thereom to find the last side. Let us set 12 as variable a, 20 as variable c, and the unknown side as variable b.
[tex]a^2+b^2=c^2\\12^2_b^2=20^2\\b^2=400-144\\b^2=256\\b=\pm16[/tex]
We do know that a length can never be negative, so the side b would be 16.
Step 2:
According to SOHCAHTOA, cosine is utilizes the adjacent and hypotenuse of the given angle theta. Let us write the equation:
[tex]\cos(\theta)=\frac{adjacent}{hypotenuse} \\\\\cos(\theta)=\frac{16}{20} \\\\\cos(\theta)=\frac{4}{5}[/tex]
I hope this helps! Let me know if you have any questions :)
When a 6 foot tall fence pole cast a 10 foot shadow, a pine tree cast a 65 foot shadow. How tall in the tree?
Answer:
39 feet.
Step-by-step explanation:
If a 6 foot pole cast 10 feet continue to mutiply 6 until you get to 60 and once you get to 60 half the 6 into 3 adding 3 feet.
Multiply: (2x+5)(3−4x)
Which answer matches this description? 15 minus the quotient of 50 and 10 15 = (50 - 10) (50 - 15) + 10 (50 - 10) - 15 15 - (50 = 10)
Answer:
The bottom left one
15 - (50 / 10)
Step-by-step explanation:
15 minus the quotient of 50 and 10
Keywords:
Minus: subtraction meaning we would use (-)
Quotient: Quotient is the outcome of division (/)
15 minus the quotient of 50 and 10
Replace minus with (-)
15 - the quotient of 50 and 10
Get rid of quotient and add a division sign between 50 and 10
15 - 50 / 10
Add parenthesis
15 - (50 / 10 )
Some one say that if you multiply or divide each side of an inequality by a negative number, the inequality sign changes directions. He give an example: -2x < 6, then x > -3. Is the statement true or false?
Answer:
True
Step-by-step explanation:
Answer:
Step-by-step explanation:
It is true!
Let's say we subtract 6 from both sides
-2x -6< 0 Now Let's add 2x to both sides
-2x + 2x - 6 < 0 + 2x
- 6 < 2x We did so we would be dividing by a number greater than 0. Divide by + 2
-6/2 < 2x / 2
-3 < x Notice you still get the open end of the inequality sign closest to the x without changing the direction of the inequality.
Find the product 6 • (–9).
please i need this rn its urgent
Answer:
[tex] - 54[/tex]
Step-by-step explanation:
it is too easy use your calculator!(-_-メ)
Answer:
-54
Step-by-step explanation: