Find the value of x for which p is parallel to q, if m∠1 = (4x) and m∠3 = 100. The diagram is not to scale.
a. 96
b. 25
c. 104
d. 100
Answers
4x = 100
x = 100 / 4
x = 25
answer
b. 25
Related Questions
Evaluate 3|-3|. -6 6 9 -9
Answers
answer is
9
Marty is helping make floral centerpieces for the sports banquet. The guidelines tell him how many of each flower to use in one centerpiece. If he follows the guidelines, which statement is true?
-2 lilies
-1 rose
-3 carnations
-2 daffodils
-1 iris
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A sprinkler rotates through an angle of 115° spraying water outward for a distance of 12 ft. find the exact area watered, then round the result to the nearest tenth of a square foot.
Answers
Therefore the radius of the circular section is 12 ft as shown in the diagram below.
The total circle occupies 360°. Therefore the area watered is
A = (115/360)*π*(12 ft)²
= 144.513 ft²
Answer: 144.5 ft (nearest tenth)
I need an answer ASAP!
An experiment is broken up into two parts. In the first part of the experiment a penny is tossed in the air. If the coin lands on heads, then the coin is flipped a second time. If the coin lands on tails, then a six-sided die is rolled. What is the probability of getting exactly one head?
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Find two consecutive even integers such that five times the smaller integer is ten more than three times the larger integer.
Answers
5n = 3n + 16
12n = 16
n = 8
8 is smaller integer and 10 is the larger.
The problem can be solved by setting up and solving an algebraic equation based on the given conditions. With 'x' representing the smaller integer, and 'x + 2' for the next consecutive even integer, 'x' can be found to identify these integers.
Explanation:To find the two consecutive even integers specified in the question, we should first assign variables to these numbers. Let's say the smaller even integer is 'x', then the next consecutive even integer will be 'x+2' (because even numbers increment by 2).
According to the problem, five times the smaller integer equals ten more than three times the larger integer. We can translate this into a mathematical equation: 5*x = 3*(x+2) + 10.
By simplifying this equation through multiplication and subtraction, we can make 'x' the subject to find the value of the smaller even integer. The larger integer is then x + 2. Using these formulas, we can identify the two consecutive integers that meet the criteria specified in the problem.
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Helppppppppppppp!!!!!
Answers
Factor the expression. k2 + kf – 2f2
Answers
Factor
(K+2f)(k-f)
Answer: (k+2f)(k-f)
Check your work:
K+2f k-f
K^2+2kf-kf-2f^2
K^2+kf-2f^2
The answer is correct
Answer:
Factorized form of the given expression is (k + 2f)(k - f).
Step-by-step explanation:
The given expression is k² + kf - 2f² and we have to factorize the given expression.
k² + kf - 2f² = k² + 2kf - kf - 2f²
= k(k + 2f) - f(k + 2f)
= (k + 2f)(k - f)
So the factorized form of the expression is (k + 2f)(k - f).
Find the zeros with multiplicity for the function p(x) = (x^3 – 8)(x^5 – 4x^3)
Please show steps
Answers
x^5 - 4x^3 = 0 gives another zero of x = 0
x^3(x^2 - 4) = 0 gives 2 more zeros (x^2 = 4 so x = 2, -2)
So the answer is -2, 0 and 2 multiplicity 2
A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing the dependence of the variable s on t, where s is the distance between the bicyclist and the station in km, t - the duration (time) of his travel in hours. Using the formula, find:
Answers
[tex]s=60-12t [/tex]
Now you can answer questions such as "how far was the bicyclist from the station after 3 hours?" Substitute 3 for t. s = 60 - 12(3) = 60 - 36 = 24 km.
Answer:
s=18
Step-by-step explanation:
First of all, the formula is s=60-12t. thanks to the person who answered this question first (teehee)
S=distance and t=duration.
We also know that the distance is 60 km, the bicyclists's speed is 12 km/h, and the duration for this example is 3.5 hours.
So, using the formula, we substitute all the variables and s=18.
Thanks!
Also, for how the formula is what it is, look at the previous answer cuz yea.
Maybe this helped?
hehe- EG
Nine less than the product of ten and a number d is equal to eleven.
Answers
first product means multiply and it says it is with 10 and x and then you subtract 9 from it and it all equals 11
If you want to solve for x then the answer for x is:
x = 2
Amy is eight years older than twice her cousin Alicia’s age. The sum of their ages is less than 32. Let x represent Alicia's age. Which inequality represents Alicia’s possible age?
Answers
if amy=y and alica=x
y=8+2x
and sum is less than 32
y+x<32
we can subsitute 8+2x for y in other equation
8+2x+x<32
8+3x<32
minus 8 both sides
3x<24
divide both sides by 3
x<8
the inequality is x<8
To find Alicia's possible age, we can write an inequality based on the given information, solve it, and express Alicia's age in terms of a variable.
Explanation:To find the inequality that represents Alicia's possible age, we can start by representing Amy's age in terms of Alicia's age. Let x represent Alicia's age. Amy is eight years older than twice Alicia's age, so Amy's age is 2x + 8. The sum of their ages is less than 32, so we can write the inequality x + (2x + 8) < 32 to represent their ages. Simplifying the inequality gives us 3x + 8 < 32. We can now solve for x by subtracting 8 from both sides of the inequality: 3x < 24. Divide both sides of the inequality by 3 to isolate x: x < 8. Therefore, Alicia's possible age is less than 8, and the inequality that represents her age is x < 8.
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Which ordered pair is a solution to the system of inequalities?
A. (0,4)
B. (-2, -3)
C. (1, 4)
D. (-3, 5)
Answers
The half-life of a substance is how long it takes for half of the substance to decay or become harmless (for certain radioactive materials). The half-life of a substance is 8.6 days and there is an amount equal to 15 grams now. What is the expression for the amount A(t) that remains after t days, and what is the amount of the substance remaining (rounded to the nearest tenth) after 37 days? Hint: The exponential equation for half-life is A(t) = A0(0.5)t/H, where A(t) is the final amount remaining, A0 is the initial amount, t is time, and H is the half-life.
Answers
A(t) = 15(0.5)37/8.6
Hope this helps!
Final answer:
The amount of a substance remaining after a period of time can be calculated using the half-life formula A(t) = [tex]\frac{A0(0.5)t}{H}[/tex]. After 37 days, with a half-life of 8.6 days starting with 15 grams, approximately 2.2 grams will remain.
Explanation:
The half-life of a substance is the amount of time it takes for half of the substance to decay. For a substance with a given initial amount, the expression for the amount A(t) that remains after t days is A(t) = [tex]\frac{A0(0.5)t}{H}[/tex], where A0 is the initial amount, t is the time in days, and H is the half-life.
Given that the half-life H is 8.6 days and the introductory sum A0 is 15 grams, able to utilize this condition to discover the remaining sum after a certain number of days. To decide the sum of the substance remaining after 37 days, we substitute these values into the equation: A(37) = [tex]\frac{15(0.5)37}{8.6}[/tex]
Calculating this expression, we get that approximately 2.2 grams remain after 37 days, rounded to the nearest tenth.
For a sample with m = 20 and s = 4, a score of x = 17 would be considered an extremely low score.
a. True
b. False
Answers
I'm going a serva between cats and dog... Do you like cats more then dogs or dogs more then cats?
Answers
Answer:I like cats better.
Step-by-step ex
A student writes the difference between 15 and the product of 5 and y to describe the expression 5y - 15. Explain the error
Answers
Mr. Plum's math class of 25 students had an average of 85 on a test. Miss Scarlett's class of 22 students had an average of 87 on the same test. What is the average of the two classes combined?
Answers
A mean is an arithmetic average of a set of observations. The average of the two classes combined is 85.936.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
Mr. Plum's math class of 25 students had an average of 85 on a test.
Average = Total marks /Total number of students
Total marks of Mr. Plum's class = Total number of students × Average
Total marks of Mr. Plum's class = 25 × 85
Total marks of Mr. Plum's class = 2,125
Miss Scarlett's class of 22 students had an average of 87 on a test.
Average = Total marks /Total number of students
Total marks of Miss Scarlett's class = Total number of students × Average
Total marks of Miss Scarlett's class = 22 × 87
Total marks of Miss Scarlett's class = 1,914
Further, the average of the two classes combined is,
Average = Total marks / Total students
= (2,125 + 1914)/(25+22)
= 4039/47
= 85.936
Hence, the average of the two classes combined is 85.936.
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What else would need to be congruent to show that triangle ABC is congruent to triangle DEF by ASA?
Answers
answer
D. m<B = m<E
Answer:
Option D. ∠B ≅ ∠E
Step-by-step explanation:
In ΔABC and ΔDEF,
Measure of side AB = Measure of side DE = 10 units
∠A ≅ ∠ D ≅ 45°
Now we have to prove ΔABC ≅ ΔDEF by the property of congruence ASA.
Since one angle and one side are equal.
So other angle based on sides AB and DE will be the adjacent angles ∠B and ∠E
Therefore, Option D. ∠B ≅ ∠E will be the answer.
What type of math is adding subtracting of positive and negative numbers
Answers
It is Arithmetic.
Hope This Helps You!
Good Luck :)
Final answer:
Adding and subtracting positive and negative numbers falls under the subject of arithmetic in mathematics. The rules for addition and subtraction of integers depend on the signs of the numbers being operated on.
Explanation:
In mathematics, adding and subtracting positive and negative numbers falls under the subject of arithmetic. This concept is also known as integer addition and subtraction.
When you add two positive numbers, the answer is positive. When you add two negative numbers, the answer is negative. When you add numbers with different signs, you subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value.
Similarly, when you subtract a positive number from another positive number, or a negative number from another negative number, you follow the same rules. However, when you subtract a negative number from a positive number, you can think of it as adding a positive number, resulting in a larger positive number.
d•r=r•d what’s the property
Answers
hope this helps
Which term describes the set of all possible outcomes for a probability event?
Answers
Point E is drawn on the graph so that the line EF is parallel to line CD
Answers
Answer:
-8
Step-by-step explanation:
edg 2020
Livia’s bill for lunch came to $8 before tax and tip. The restaurant included a 7 percent sales tax, and she left a 15 percent tip, which she calculated on the bill before the sales tax was added. What was the total cost of Livia’s lunch?
$8.56
$8.68
$9.20
$9.76
HELPPPPPP PLZZZ
Answers
Answer:
Total cost $9.76 of Livia's lunch.
Step-by-step explanation:
Livia's bill for lunch came = $8.00
The restaurant included a 7% sales tax = 7% of $8.00
= 0.07 × 8 = 0.56
She left a tip of 15% = 15% of $8 =
= 0.15 × 8 = $1.20
Now add tip and tax to the lunch bill
Bill (Pre tax) = $8.00
Tax 7% = $0.56
Tip 15% = $1.20
= 8.00 + 0.56 + 1.20 = $9.76
Total cost of Livia's lunch was $9.76
Salma drove 605 miles in 11 hours at the same rate how long would it take her to drive 385
Answers
Time = 11 hours
Velocity = distance/time
Velocity = 605miles/11 hours
Velocity = 55mph
385miles/55miles/hour= 7hours.
Or
605 = 11
385 = x
Solving for x =(385/605)*11
X= 7 hours
divide 605 by 11 to find her speed
605/11 = 55 ( she drove 55 miles per hour )
now divide 385 by 55 to find time
385/55 = 7 hours
Find the area of the triangle
Answers
7*4.6/2=16.1
Final answer: 16.1 mi^2
area of triangle =1/2 * b *h
b=7
h=4.6
area = 1/2 *7*4.6 = 16.1 square mi
An artist is creating a sculpture using bendable metal rods of equal length. One rod is formed into the shape of a square and another rod into the shape of an equilateral triangle. If each side of the triangle is 2 inches longer than each side of the square, how long, in inches, is each rod?
Answers
so notice, their perimeter is the same, because the perimeter is just one rod anyway, and all rods are the same length, thus
[tex]\bf P_s=P_t\implies 4s=3(s+2)\implies 4s=3s+6\implies s=6[/tex]
Answer:
24 inches
Step-by-step explanation:
We are given that an artist creating a sculpture using bendable metal rods of equal length.
One rod is in square shape and second rod is in equilateral triangle shape.
We have to find the length of each rod
Let side of square= x inches
Length of each side of equilateral triangle =x+2 inches
We know that perimeter of square=[tex]4\times side[/tex]
Perimeter of equilateral triangle=[tex]3\times side[/tex]
Using the above formula
Then , Length of square shaped rod=perimeter of square =[tex]4x[/tex]
Perimeter of equilateral triangle =Length of equilateral shaped rod=[tex]3(x+2)[/tex]
Length of square shaped rod=Length of equilateral triangle shaped rod
[tex]4x=3(x+2)[/tex]
[tex]4x=3x+6[/tex]
[tex]4x-3x=6[/tex]
[tex]x=6[/tex]
Length of each side of square =6 inches
Length of square shaped rod=[tex]4\times 6=24 inches[/tex]
Length of each side of equilateral side=6+2=8 inches
Length of equilateral shaped rod=[tex]8\times 3=24 inches[/tex]
One Endpoint is 9,18 and the midpoint is 14,16 what the other end point
Answers
[tex]\bf \left( \cfrac{x+9}{2}~,~\cfrac{y+18}{2} \right)=\stackrel{\textit{midpoint}}{(14,16)}\implies \begin{cases} \cfrac{x+9}{2}=14\\\\ x+9=28\\ \boxed{x=19}\\ -------\\ \cfrac{y+18}{2}=16\\\\ y+18=32\\ \boxed{y=14} \end{cases}[/tex]
thalia is packing a moving box she has a square frame poster with an area of 9 square feet the cube shaped box has a volume of 30 cubic feet will the poster lie flat in the box
Answers
Choose what the expressions below best represent within the context of the word problem. The tens digit of a number is twice the ones digit. The sum of the digits in the number is 12. What is the number? x represents digit 2x represents digit
Answers
=> x =12/3 =4
so, original number is 84.
Answer:
I see people ask this everywhere, THEY ARE NOT ASKING YOU TO SOLVE IT. It's just a matter of whether what digit does x represent and what digit does 2x represent.
Step-by-step explanation:
The answer to your question is;
x represents the ones digit; and;
2x represents the tens digit.
what are the roots to this quadratic equation?
Answers
x^2=9/18
x=sqrt(9/16)
x=3/4,-3/4
so the root of the quadratic equation are 3/4 and -3/4
Answer:
[tex]\frac34[/tex] and [tex]-\frac34[/tex]
Step-by-step explanation:
Hello!
We have to solve for x to find the roots of the quadratic.
Solve for x[tex]16x^2 = 9[/tex][tex]x^2 = \frac{9}{16}[/tex][tex]\sqrt{x^2} = \sqrt{\frac{9}{16}}[/tex][tex]x = \pm\frac{\sqrt9}{\sqrt{16}}[/tex][tex]x = \pm\frac34[/tex]The roots of the quadratic are [tex]\frac34[/tex] and [tex]-\frac34[/tex].
The roots of the quadratic is when the value of y is 0, or when the graph intersects the x-axis.