Two parallel lines are cut by a transversal as shown below. Suppose <4 = 143 degrees. Find <5 and m <7.
Answers
Can you provide a picture?
Related Questions
The area of a triangle is 72cm squared. if its base is 16cm, find his height.
Answers
Answer:
The height is 9 cm
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
72 = 1/2 ( 16) h
72 = 8h
Divide each side by 8
72/8 = 8h/8
9 = h
The height is 9 cm
Answer:
8 because it is a half base x height
Step-by-step explanation:
a half x 16= 8
A zookeeper has a map of his grounds. He is trying to get to the
Slow Sloth Shelter. He knows he needs to walk three rows forward
and five rows to the left. If his map were a grid, the Slow Sloth
Shelter would be located at (5,-3). If he can walk at a rate of 3.1
miles per hour, which of the following equations would represent
this situation?
A. y-3 = 3.1(x+5)
B. y-5= 3.1(x+3)
C. y+3 = 3.1(x-5)
D. y+5= 3.1(x-3)
Answers
Answer:
a
Step-by-step explanation:
What is the perimeter of the quadrilateral ABCD?
11 B
A
8
C С
D
24
38
33
35
Answers
Answer:
triangle abd is isosceles triangle and triangle dbc is equilateral triangle.
opposite sides of equal angles are same. so, ad= bd
and bd is the side of equilateral triangle. so, bd=bc=dc
perimeter of quadrilateral = sum of all sides.
perimeter=11+8+8+8
perimeter =35
The perimeter of the given quadrilateral is 35 units.
What is a quadrilateral?A polygon with four sides, four angles, and four vertices is called a quadrilateral. The Latin words Quadri, which means four, and latus, which means side, were combined to create the English word quadrilateral.
We know the perimeter of any planer figure is the sum of the lengths of all the sides.
We have ΔABD with side lengths 8 units and 11 units with two similar angles.
∴ The length opposite to the missing side will also be 8 units and hence
ΔBCD will also the side lengths of 8 units as it is an equilateral triangle.
∴ The perimeter of the quadrilateral is (11 + 8 + 8 + 8) units.
= 24 + 11 units.
= 35 units.
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Which of these expressions is equal to 4 ÷ 6?
Answers
Answer:
4 ÷ 6 = 2/3
Step-by-step explanation:
a(a^2 - x) = b(b^2 -x)
Answers
Step-by-step explanation:
a(a²-x)=b(b²-x)
=a³-ax=b³-bx
\({ \purple{ \sf{a( {a}^{2} - x) = b( {b}^{2} - x)}}}\)
Multiply a with the terms in bracket and b with the terms in the bracket you will get
\({ \red{ \boxed{ \bold{ {a}^{3} - ax = {b}^{3} - bx}}}}\)
Scaled scores on the WISC-V have a mean of ____ and a standard deviation of _____.
a. 10/3
b. 10/5
c. 3/1
d. 100/15
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the correct answer is option a: 10/3, which represents the mean and standard deviation of the scaled scores on the WISC-V.
Scaled scores are used to compare an individual's performance on the WISC-V to the performance of other individuals in the same age group. The scaled scores are derived from raw scores and are standardized to have a mean and standard deviation that are predetermined.The mean of scaled scores on the WISC-V is set to 10. This means that an average performance is represented by a scaled score of 10.
The standard deviation of scaled scores on the WISC-V is set to 3. The standard deviation measures the spread or variability of scores around the mean. A standard deviation of 3 indicates that most scores fall within 3 points above or below the mean of 10.
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Which of the equations is graphed below?
(A) y = -2x + 1/2
(B) y = -2x - 1
(C) y = -2x - 1/2
(D) y = -2x + 1
Answers
Determine the minimum number of colors needed to color the graph given below. The complete solution must include: (i) A coloring with the appropriate number of colors, and (ii) a proof that it is not possible to use fewer colors. graph G b (b) Let H be a graph whose vertex degrees are 7, 7, 6, 6, 5, 4, 4, 4, 4, 3. Prove that H can be colored with 5 colors. (Note that there may be many graphs H with this degree sequence. Your proof must be valid for any such graph.)
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In summary, for the given graph G, the minimum number of colors needed to color it is 4. A coloring with 4 colors can be achieved, and it will be shown that using fewer colors is not possible. For the graph H with vertex degrees 7, 7, 6, 6, 5, 4, 4, 4, 4, 3, it can be proven that it can be colored with 5 colors. This proof will be valid for any graph with the same degree sequence.
a. To determine the minimum number of colors needed to color graph G, we can use a technique called the Four Color Theorem. This theorem states that any planar graph can be colored using at most four colors. By examining the given graph G and applying the Four Color Theorem, we can color it using 4 colors in such a way that no adjacent vertices have the same color. This coloring provides the appropriate number of colors, and using fewer colors is not possible because it violates the theorem.
b. For the graph H with vertex degrees 7, 7, 6, 6, 5, 4, 4, 4, 4, 3, we can prove that it can be colored with 5 colors. One approach to prove this is by using the concept of the Greedy Coloring Algorithm. This algorithm assigns colors to vertices in a sequential manner, making sure that each vertex is given the smallest possible color that is not used by its adjacent vertices.
Since the maximum degree in H is 7, we start by assigning a color to the vertex with degree 7. We can continue assigning colors to the remaining vertices, ensuring that no adjacent vertices have the same color. Since the maximum degree is 7, at most 7 different colors will be used. Therefore, it is possible to color graph H with 5 colors, as the degree sequence allows for such a coloring. This proof holds true for any graph with the given degree sequence.
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2x = 6
2
3
4
7
Thanks for the help!
Answers
Answer:
x=3!
Step-by-step explanation:
To do this, you would have to divide by 2 on both sides.
2x/2=x
6/2=3
x=3
Explanation:
6/2=3
36p^3+60p^2-81p-135=0
Btw the ^ is for an exponent
Answers
Answer:
Exact form : p = - 5/3 , - 3/2 , 3/2
Decimal form : p = -1.666666666, -1.5 , 1.5
Mixed Number form : p = -1 2/3 , -1 1/2 , 1 1/2
Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
I hope this helps you out.
BRAINLIEST goes to the right answer.
For the function in the graph, find the values of f(-2), f(2), and f(4).
A. 2;2;1
B. -2; -2; -1
C.-2;2;1
D. -2;2;-1
Answers
PLEASE HELP I ASKED THIS QUESTION YESTERDAY AND NOBODY ANSWERED.
Ahmed fills an empty container with water at a constant rate . he turns off the water when the container Springs a leak, and the water level decreases until he can seal the hole. After he fixes the leak, the water level stays constant .
which graph could represent this scenario?
Answers
A small p-value provides what kind of evidence against the null?
Answers
A small p-value provides strong evidence against the null hypothesis. The null hypothesis is the hypothesis that there is no significant difference or relationship between two variables.
The p-value is the probability of obtaining a result as extreme or more extreme than the observed result, assuming the null hypothesis is true.
If the p-value is small, typically less than 0.05, it means that the observed result is unlikely to have occurred by chance alone if the null hypothesis is true. This suggests that there is strong evidence against the null hypothesis and that we should reject it in favor of the alternative hypothesis. .
For example, if we conduct a hypothesis test to determine whether a new drug is more effective than a placebo, a small p-value would indicate that the drug is indeed more effective. This is because the observed results are highly unlikely to occur if the drug is not effective.
In summary, a small p-value provides strong evidence against the null hypothesis and supports the alternative hypothesis. It suggests that the observed results are not due to chance and that there is a significant difference or relationship between the variables being studied.
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the retirement plan for a company allows employees to invest in 10 different mutual funds. if sam selected 4 of these funds at random and 6 of the 10 grew by at least 10% over the last year, what is the probability that 3 of sam's 4 funds grew by at least 10% last year? (enter your probability as a fraction.)
Answers
0.23809 is the probability that 3 of sam's .
What is probability in math?
The area of mathematics known as probability explores potential outcomes of events, along with the likelihoods and distributions of those occurrences.
Total fund = 10
no of funds grow by atleast 10% = 5
do not grow by atleast by 10% = 10 - 50 = 5
no of funds selected by sum at random = 4
No of ways of selecting 4 from 10 funds = ¹°C₄
= 10!/( 10 - 4 )!4! = 210
No of ways of selecting 3 grow atleast 10% from 5 which frow at least 10% funds = ⁵C₃
= 5!/3!( 5 - 3 )! = 10
No of ways of selecting 1 which do not grow at last 10% out of 5 funds which do not grow at least 10% funds = ⁵C₁ = 5!/( 5 - 1)! 1! = 5
Probability ( that 3 of sam's funds grew by atleast 10%
= 10 * 5/210 = 5/2! ≈ 0.23809
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what would be the sum and carry for this function on a truth table
Q = (X*2) + (Y/2) + Z
Answers
To find the sum and carry for this function on a truth table, we must first complete the truth table by computing the function's values for all possible inputs.
The given function is\(Q = (X*2) + (Y/2) + Z\)
Here's the truth table:X Y Z Q0 0 0 00 0 1 10 1 0 20 1 1 31 0 0.5 1.51 0 1 21 1 0.5 3.5 1 1 3
From the truth table above, we can see that the sum of Q for all eight input combinations is 12.
To find the carry, we will need to determine the maximum output value for the given function.
We can observe that the highest output value is 3.5.
Therefore, there is no carry for this function since the highest output value is less than four.
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Complete the two-column proof. Drag the missing statements into the correct order.
Given: ∠1≅∠2 ; JK║AB
Prove: ∆CDL is an isosceles triangle.
Answers
By using the property of isosceles triangle, it can be proved that-
∆CDL is an isosceles triangle
What is isosceles triangle?
At first, it is important to know about triangle.
A triangle is a two dimensional three sided figure. A triangle has three sides and three interior angles.
A triangle whose any two sides are equal are called isosceles triangle.
JK || AB [Given]
\(\angle 1 \cong \angle 3\) and \(\angle 2 \cong \angle 4\) [Corrosponding angle]
\(\angle 1 \cong \angle 2\) [Given]
\(\angle 3 \cong \angle 4\) [Transitive property of congruence]
CL \(\cong\) DL [Converse of isosceles triangle theorem]
∆CDL is an isosceles triangle [Def. of isosceles triangle]
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What is the domain of the function below?
A.
B.
C.
D.
Answers
Answer:
A
Step-by-step explanation:
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A sequence has a common ratio of 3/2 and f(5) = 81. Which explicit formula represents the sequence?
A) f(x) = 24(3/2)^×-1
B) f(x) = 16(3/2)^x-1
C) f(x) = 24(3/2)^x
D) f(x) = 16(3/2)^x
Answers
Answer:
F (x) = 16 (3/2) x-1
Step-by-step explanation:
The answer is B
Expand and simplify
2(2a - b) + 5(3a - 2b) pls quick
Answers
Answer:
19a - 12b
Step-by-step explanation:
2(2a - b) + 5(3a - 2b)
4a - 2b + 15a - 10b
19a - 2b - 10b
19a - 12b
Mrs. Nigrini picks up some grapefruits that each weigh 1/2 pound. When she checks out she finds her bag of grapefruit weighs exactly 6.5 pounds. Each grapefruit costs $1.29. How much did she spend on grapefruit?
Answers
Answer:
$16.77
Step-by-step explanation:
1. Grapefruit cost 1/2 pound = 0.5 pound
2. Since the bag weighs 6.5 pounds, you can do 6.5/0.5 to find the number of grapefruits
3. 6.5/0.5 = 13
4. The total cost of the grapefruits would be $1.29 * 13 = $16.77
Evaluate please I need helppppp
Answers
Answer:
-5 sorry if it's wrong. I tried.
Answer:
-5
Step-by-step explanation:
Combine like terms. −5y^3+3y^3+5x^3−3y^3+x^3−2y^2+3y^2
Answers
(-5y³ + 3y³ - 3y³) + (5x³ + x³) + ( -2y² + 3y²) is the combined terms of the given expression.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given terms are
⇒ -5y³ + 3y³ + 5x³ - 3y³ + x³ -2y² + 3y²
Combine all y³ terms
-(5y³ + 3y³ - 3y³)
Combine all x³ terms
(5x³ + x³)
Combine all y² terms
( -2y² + 3y²)
Add all together (-5y³ + 3y³ - 3y³) + (5x³ + x³) + ( -2y² + 3y²) is the combined likely terms.
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Plsss help want is the second answer
Answers
Answer:
5 1/2 is your second answer :)
Answer:
\(A)5\frac{1}{2}\)
Step-by-step explanation:
To multiply a number and a mixed number, first convert the improper fraction to a mixed number. This can be done by multiplying the "number" part of the mixed number by the denominator (number underneath the fraction bar) and then adding the result to the numerator. After doing so, one can either multiply the improper fraction by the number, and then simplify the result, or one can cross simplify the number and the denominator, then multiply by the numerator.
\(4 * 1\frac{3}{8}\\\\4 * \frac{11}{8}\\\\=\frac{44}{8}\\\\= \frac{11}{2}\)
Now one must convert this improper fraction to a mixed number. One can do this by diving the numerator by the denominator, writing the result as the "number" part of the mixed number, and then writing the remainder as the numerator of the fraction.
\(5\frac{1}{2}\)
The two-way table shows the number of students in a school who have cats and/or dogs as pets. Have Cats Do Not Have Cats Total Have Dogs 18 22 40 Do Not Have Dogs 25 35 60 Total 43 57 100 How many more students have cats than dogs? 25 22 7 3.
Answers
Answer:
The answer to this question is D. 3
Answer:
The last one is right 3
Step-by-step explanation:
Took the test got it right.
When an object is removed from a furnace and placed in an environment with a constant temperature of 70°F, its core temperature is 1500°F. One hour after it is removed, the core temperature is 1170°F. (a) Write an equation for the core temperature y of the object t hours after it is removed from the furnace. (Round your coefficients to four decimal places.)
Answers
Answer:45 I think
Step-by-step explanation:
plese huryyyyyyyyyyyy!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
See below ↓↓
Step-by-step explanation:
Formulas to keep in mind
Volume (cone) = 1/3πr²hVolume (sphere) = 4/3πr³Solving
It's given in the question that the volumes are equal and height of the cone is 96 unitsEquate the volumes and substitute the value of h⇒ 1/3πr₁²h = 4/3πr₂³
⇒ r₁² x 96 = 4 x r₂³
⇒ r₂³ / r₁² = 24
⇒ r₂ (Radius of sphere) = 2.88 units
⇒ r₁ (Radius of cone) = 1 unit
what is the answer to
f(x)=-3x^2-20
Answers
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
What is the answer to \(\sf \: f ( x ) = - 3 x ^ { 2 } - 20\)\( \huge \boxed{\mathfrak{Answer} \downarrow}\)
\( \large \boxed{ \bf \: - 6x}\)
\( \huge \boxed{\mathfrak{Explanation} \downarrow}\)
\( \large \sf \: f ( x ) = - 3 x ^ { 2 } - 20\)
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of \(\sf \: ax^{n}\) is \(\sf \: nax^{n-1}\).\( \large \sf \: 2\times ( -3x)^{2-1} \)
Multiply 2 times - 3.\( \large \sf \: - 6x^{2-1} \)
Subtract 1 from 2.\( \large \sf \: - 6x^{1} \)
For any term t, t¹ = t.\(\large \boxed{ \bf \: - 6x}\)
plz helppppppppppppppppppppppppppppp!!!!
Answers
Answer: Exact Form: is
\( \frac{399}{40} \)
Decimal form: 9.975 Mixed number form:
\(9 \frac{39}{40} \)
A dilation with a scale factor of 2 is applied to the three line segments shown. The resulting images are P′Q′¯¯¯¯¯¯¯, A′B′¯¯¯¯¯¯¯, and M′N′¯¯¯¯¯¯¯¯¯.
What are the lengths of the images?
Drag the answer into the box to match each segment.
Answers
Answer:
Step-by-step explanation:
Formula to determine the scale factor,
Scale factor = \(\frac{\text{Dimension of the image}}{\text{Dimension of the original}}\)
2 = \(\frac{P'Q'}{PQ}\)
2 = \(\frac{P'Q'}{2}\)
P'Q' = 4 cm
Similarly, for the length of A'B',
2 = \(\frac{A'B'}{AB}\)
2 = \(\frac{A'B'}{1.5}\)
A'B' = 3 cm
For the length of M'N',
2 = \(\frac{M'N'}{MN}\)
2 = \(\frac{M'N'}{3}\)
M'N' = 6 cm
Answer:
P'Q' = 4 cm A'B' = 3 cm M'N' = 6 cm
Step-by-step explanation:
a cook uses 1 3/4 teaspoons if salt to make 3 1/2 pounds of pasta. what is the unit rate in teaspoons per pound , at which the cook uses salt to make pasta?
Answers
The unit rate in teaspoons per pound would be 1/2 teaspoons per pound.
What is the unit rate?
A unit rate means a rate for one or something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
The number of teaspoons:
\(=1\frac{3}{4}\\\\=\frac{4+3}{4}\\\\=\frac{7}{4}\)
Amount of pasta:
\(=3\frac{1}{2}\\\\=\frac{6+1}{2}\\\\=\frac{7}{2}\)
Now the unit rate = number of teaspoons/ amount of pasta
\(=\frac{7/4}{7/2}\\\\=\frac{1}{2}\\\)
Hence, the unit rate in teaspoons per pound would be 1/2 teaspoons per pound.
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Answer:
Step-by-step explanation:
1/2