Answers
In ΔABC, the line DAE is drawn such that DAE║BC. m∠ABC = m∠CAE because they are alternate interior angles.
What are alternate interior angles?Alternate interior angles are pairs of angles that are formed when a straight line (or transversal) intersects two parallel lines. They are located on opposite sides of the transversal and are inside (or between) the parallel lines.
Alternate interior angles are congruent, which means that they have the same measure or size. This property is a consequence of the fact that the alternate interior angles are formed by a pair of parallel lines and a transversal, which creates a pattern of corresponding angles that are congruent.
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Related Questions
HELPPP! PLZ! ILL GIVE 25 point! julio believes the quotient of 6 divided by 12 =3. explain julio's error and tell how to find the correct answer? hurry!.
Answers
Answer:
Julio is wrong because it should be 2 julio made a simple mistake
Step-by-step explanation:
Julio can make his answer correct by 12 divided by 6 gives us three.
12 accidents on a road. Three were serious.
In May there wer
a
What fraction of the accidents in May were serious?
Write the fraction in its simplest form.
In June there were 15 accidents. Five were serious.
b What proportion of the accidents in June were serious?
c Which month had the higher proportion of serious accidents?
Answers
a. 1/4 of the accidents in May were serious.
b. 1/3 of the accidents in June were serious.
c. June had a higher proportion of serious accidents than May.
What is the fraction?A fraction is represented as a numerical indication of a part of a whole that represents a rational numeral.
a. To find the fraction of accidents in May that were serious, we divide the number of serious accidents by the total number of accidents:
Fraction of serious accidents in May = 3/12
Simplifying the fraction in the simplest form as:
3/12 = (3 ÷ 3) / (12 ÷ 3) = 1/4
Therefore, 1/4 of the accidents in May were serious.
b. To find the proportion of accidents in June that were serious, we divide the number of serious accidents by the total number of accidents:
The proportion of serious accidents in June = 5/15
Simplifying the fraction in the simplest form as:
5/15 = (5 ÷ 5) / (15 ÷ 5) = 1/3
Therefore, 1/3 of the accidents in June were serious.
c. The proportion of serious accidents in May and June, we can compare the fractions we obtained in parts (a) and (b).
1/4 is less than 1/3, which means that June had a higher proportion of serious accidents than May.
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Which number is divisible by six and nine?
24 35 168 288 992
Answers
Answer:
288 !
Step-by-step explanation:
The shape is composed of three squares and two semicircles. Select all the expressions that correctly calculate the perimeter of the shape.
Answers
The expression that correctly calculates the perimeter of the shape is given as follows:
P = 2(6s + πr).
In which:
s is the side length of the square.r is the radius of the semicircle.How to obtain the perimeter of the square?The perimeter of a square of side length s is given as follows:
P = 4s.
Hence, for three squares, the perimeter is given as follows:
P = 3 x 4s
P = 12s.
How to obtain the perimeter of a semi-circle?The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:
C = πr.
Hence the perimeter of two semicircles is given as follows:
C = 2πr.
How to obtain the perimeter of the shape?The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:
P = 12s + 2πr.
P = 2(6s + πr).
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Please solve this and show the steps on how you got your answer
Answers
well, let's take a look at the tickmarks on the triangle, the tickmarks mean that AC = CB, both AC and CB stemming out of vertex C, and both twin sides will make twin angles at the "base" or namely ∡A = ∡B, that means that 34 = x - 5, let's also recall that the sum of all interior angles in a triangle is 180°, so
\(34=x-5\implies \boxed{39=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle A}{34}~~ + ~~\stackrel{\measuredangle B}{34}~~ + ~~\stackrel{\measuredangle C}{4y}~~ = ~~180\implies 68+4y=180 \\\\\\ 4y=112\implies y=\cfrac{112}{4}\implies \boxed{y=28}\)
Answer:
y = 28
Step-by-step explanation:
The dashes on line segments AC and BC indicate that the line segments are equal in length.
Therefore, as the triangle has two sides of equal length, it is an isosceles triangle.
The base angles of an isosceles triangle are equal, therefore ∠A = ∠B.
Interior angles of a triangle sum to 180°.
Therefore:
⇒ ∠A + ∠B + ∠C = 180°
⇒ 34° + 34° + 4y° = 180°
⇒ 68° + 4y° = 180°
⇒ 4y° = 112°
⇒ y = 112° ÷ 4°
⇒ y = 28
Verify the property a x (b+c) =(a x b)+(a x c) by taking: a = -7, b = (2/5), c = (-3/7)
Answers
= -14/5 + 3
=1/5
Which value is a solution of the equation 8y=56?
Answers
Answer:
7
Step-by-step explanation:
If you divide 8y / 8 then you have to do the same thing to 56. When you do, y = 7
Answer:
7Step-by-step explanation:
I got it right on I-ready.
Hope this helps!
From: Aug1e
What do u times or multiply the 8 by?
Answers
Answer: 9
6/8 = 9/12
if a lawyer charges $120 an hour (or any fraction of an hour), how much is a bill for 3 hours and 20 minutes? what is the equation for this problem?
Answers
Answer: If a lawyer charges $120 an hour (or any fraction of an hour), how much is a bill for 3 hours and 20 minutes? What is the equation for this problem? answer choices l (x) = 120x l (x) = 120 [x-1] l (x) = 120 [x] l (x) = 120 [x+1]
Thank me later.
Critical Thinking Explain how the formulas for the perimeter and area of a square may be derived from the corresponding formulas for a rectangle.
Answers
How to find the domain for problem 42?
Answers
Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
You can use a algebra calculater called Tiger Algebra can plz help me with my question
PLEASE HELP ME, IM BEGGING, IM ACTUALLY GOING TO CRY IF I GET THIS WRONG. A family camping in a national forest builds a temporary shelter with a tarp and a 4-foot pole. The bottom of the pole is even with the ground, and one corner is staked 5 feet from the bottom of the pole. What is the slope of the tarp from that corner to the top of the pole?
Answers
What is the surface area
Answers
Answer:
144 is the surface area
Step-by-step explanation:
Multiply 5 x 8 for the 3 rectangles. You will get an answer of 40. 40 x 3 is 120. For the 2 triangles you multiply 6 x 4 divided by 2 times 2 which is 24 lol. 120 + 24 = 144.
Can someone help me??!!!
Please
Answers
For given function f(x) the y in the graph are f(2) = 4,f(0) = 3 ,f(-6) = -6 and f(4) = 5
What is function?A function is described as a relationship between a set of inputs, each of which has a single output. The simplest definition of a function is an association between inputs where each input is connected to a single, unique output. There is a codomain or range for each function. A function is frequently referred to as f(x), where x is the input.
Here,
In the given graph
when x = 2
y = 4
and x = 0
y = 3
Put it in slope formula
=> m =y2 - y1 / x2 -x1
=> m =1/2
m = 1/2
Now we can just put them into slope formula
y - y₁ = m(x - x₁)
y - 4 = 1/2(x - 2)
y = 1/2(x) -1 + 4
y = 1/2(x) + 3
Now we can just put them into slope formula
y - y₁ = m(x - x₁)
y - 3 = 1/2(x - 0)
y = 1/2(x) + 3
Thus, the function for given f(x) is solved
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(1/3) to the power of 2×(−10÷14) ASAP PLS
Answers
Answer:
The expression (1/3) to the power of 2x(−10÷14) is equal to (1/3)^(-5/7).
Step-by-step explanation:
Calculating this expression in general will give you a decimal value as an outcome, However, since i do not have the ability to perform calculations, i can give you this hint. It will be a small number close to zero but not zero.
It's important to note that the order of operations (PEMDAS) should be followed when evaluating this expression: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Evaluate: 2(5-1)+4 (7-5)
Answers
Subtract: 5-1= 4, 7-5=2
Multiply: 2x4= 8, 4x2=8
Add: 8+8
Answer: 16
Round 7.4304909778 to the nearest millionth.
Answers
Answer:
7.430491
Step-by-step explanation:
Round the number based on the sixth digit. That is the millionth.
it cost $3.45 to buy 3/4 lb of chopped walnuts. how much would it cost to purchase 7.5 lb of walnuts
Answers
Answer:
$34.5
Step-by-step explanation:
4/3x3.45=4.6
7.5x4.6=34.5
which is farther in order 2.5 miles,3.2 kilometers, 2300 meter, 3000 yards
Answers
Answer:
2300 meters, 3000 yards, 3.2 kilometers, 2.5 miles is smallest distance to longest distance. so the furthest, to the closest would be:
2.5 miles, 3.2 kilometers, 3,000 yards, 2,300 yards
Step-by-step explanation:
I hope this helps :)
Josie is planning for her graduation party and uses the function J(p) = 200 + 25p, where J(p) represents the total cost of the party and p is the number of people attending. To help budget for her graduation party, she wants to be able to determine the total cost for varying amounts of people who could attend. Which of the following graphs could Josie use to help her budget?
Answers
option C, which shows a line graph, is the appropriate graph that Josie can use to help her budget.
What is the linear function?
A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.
Josie can use a line graph to help her budget since the given function is a linear function.
The graph of a linear function is a straight line, and a line graph is a graph that represents data with points connected by straight lines.
Therefore, option C, which shows a line graph, is the appropriate graph that Josie can use to help her budget.
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Complete question:
The graphs are in the attached image.
Implement the compensators shown in a. and b. below. Choose a passive realization if possible. (s+0.1)(s+5) a. Ge(s) = S b. Ge(s) = (s +0.1) (s+2) (s+0.01) (s+20) Answer a. Ge(s) is a PID controller and thus requires active realization. C₁ = 10 μF, C₂ = 100 μF, R₁ = 20 kn, R₂ = 100 kn b. G(s) is a lag-lead compensator that can be implemented with a passive network C₁ = 100 μF, C₂ = 900 μF, R₁ = 100 kn, R₂ = 560 For practice, refer to Q31 & Q32 page 521 in Control Systems Engineering, by Norman S. Nise, 6th Edition
Answers
a. Ge(s) = (s + 0.1)(s + 5)
This transfer function represents a PID (Proportional-Integral-Derivative) controller. PID controllers require active realization as they involve operational amplifiers to perform the necessary mathematical operations. Therefore, a passive realization is not possible for this compensator.
The parameters C₁, C₂, R₁, and R₂ mentioned in the answer are component values for an active realization of the PID controller using operational amplifiers. These values would determine the specific characteristics and performance of the controller.
b. Ge(s) = (s + 0.1)(s + 2)(s + 0.01)(s + 20)
This transfer function represents a lag-lead compensator. Lag-lead compensators can be realized using passive networks (resistors, capacitors, and inductors) without requiring operational amplifiers.
The parameters C₁, C₂, R₁, and R₂ mentioned in the answer are component values for the passive network implementation of the lag-lead compensator. These values would determine the specific frequency response and characteristics of the compensator.
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8. Solve the compound inequality.8x2-64 and 10x <60-8 < x <6-8 < x <6-82x≤6-8 < x≤6
Answers
Answer:
\(-8\text{\operatorname{\leq}}\text{x}\lt\text{6}\)Explanation:
Here, we want to solve the given inequality
We proceed as follows:
\(\begin{gathered} 8x\text{ }\ge\text{ -64 and 10x }<\text{ 60} \\ x\text{ }\ge\text{ -}\frac{64}{8}\text{ and x}<\text{ }\frac{60}{10} \\ \\ x\ge\text{ -8 and x}<\text{ 6} \\ -8\text{ }\leq\text{ x}<\text{ 6} \end{gathered}\)
I need this practice problem explained I will provide a picture with the answer options
Answers
Given the following System of Equations:
\(\begin{cases}x+2y=8 \\ -3x-2y=12\end{cases}\)You can solve it with Cramer's Rule. The steps are shown below:
1. By definition, you know that for "x"
\(x=\frac{D}{D_x}=\frac{\begin{bmatrix}{c_1} & {b_1} & {} \\ {c_2_{}_{}_{}} & {b_2} & {} \\ {} & {} & \end{bmatrix}}{\begin{bmatrix}{a1_{}} & {b_1} & {} \\ {a_2_{}} & {b_2} & {} \\ {} & {} & \end{bmatrix}}\)In this case:
\(\begin{gathered} c_1=8 \\ c_2=12_{} \\ b_1=2 \\ b_2=-2_{} \\ a_1=1 \\ a_2=-3 \end{gathered}\)Then, you can substitute values and evaluating, you get that the value of "x" is:
\(x=\frac{\begin{bmatrix}{8_{}} & {2_{}} & {} \\ {12_{}} & {-2_{}} & {} \\ {} & {} & \end{bmatrix}}{\begin{bmatrix}{1_{}} & {2_{}} & {} \\ {-3_{}} & {-2_{}} & {} \\ {} & {} & \end{bmatrix}}=\frac{(-2)(8)-(2)(12)}{(-2)(1)-(2)(-3)}=\frac{-16-24}{-2+6}=-10\)2. By definition, for "y":
\(y=\frac{D_y}{D}=\frac{\begin{bmatrix}{a_1} & {c_1} & {} \\ {a_2} & {c_2} & {} \\ {} & {} & {}\end{bmatrix}}{\begin{bmatrix}{a_1} & {b_1} & {} \\ {a_2} & {b_2} & {} \\ {} & {} & {}\end{bmatrix}}\)Knowing the values, substitute and evaluate:
\(y=\frac{\begin{bmatrix}{1_{}} & {8_{}} & {} \\ {-3_{}} & {12_{}} & {} \\ {} & {} & {}\end{bmatrix}}{\begin{bmatrix}{1_{}} & {2_{}} & {} \\ {-3_{}} & {-2_{}} & {} \\ {} & {} & {}\end{bmatrix}}=\frac{(12)(1)-(-3)(8)}{(-2)(1)-(-3)(2)}=\frac{12+24}{-2+6}=9\)Therefore, the answer is:
\(\begin{gathered} x=\frac{\begin{bmatrix}{8_{}} & {2_{}} & {} \\ {12_{}} & {-2_{}} & {} \\ {} & {} & \end{bmatrix}}{\begin{bmatrix}{1_{}} & {2_{}} & {} \\ {-3_{}} & {-2_{}} & {} \\ {} & {} & \end{bmatrix}}=\frac{-16-24}{-2+6}=-10 \\ \\ \\ y=\frac{\begin{bmatrix}{1_{}} & {8_{}} & {} \\ {-3_{}} & {12_{}} & {} \\ {} & {} & {}\end{bmatrix}}{\begin{bmatrix}{1_{}} & {2_{}} & {} \\ {-3_{}} & {-2_{}} & {} \\ {} & {} & {}\end{bmatrix}}=\frac{12+24}{-2+6}=9 \end{gathered}\)The number of milligrams D (ht) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is given by the following function.
D(h) = 25e -0. 4
When the number of milligrams reaches 6, the drug is to be injected again. How much time is needed between injections?
Round your answer to the nearest tenth, and do not round any intermediate computations.
Answers
The time is needed between injections is 3.6 hours, i.e., the drug is to be injected again when the number of milligrams reaches 6 mg.
We have the exponential function of number of milligrams D (ht) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is
\(D(h)=25 {e}^{ - 0.4 h}\)
We have to solve for h (the numbers of hours) that would have passed when the D(h) (the amount of medication in the patient's bloodstream) equals 6 mg in order to know when the patient needs to be injected again.
\(6 = 25 {e}^{ - 0.4h} \)
\( \frac{6}{25} = \frac{25}{25} {e}^{ - 0.4h} \)
\(0.24= {e}^{ - 0.4h} \)
Taking logarithm both sides of above equation , we get,
\( \ln(0.24) = \ln( {e}^{ - 0.4h)} \)
Using the properties of natural logarithm,
\( \ln(0.24) = - 0.4h\)
\( - 1.427116356 = - 0.4h\)
\(h = \frac{1.42711635}{0.4} = 3.56779089\)
=> h = 3. 6
So, after 3.6 hours, the patient needs to be injected again.
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What is the value of this expression when x = 8 and y = 2?
9+y^2⋅x−y^3
Enter your answer in the box.
Answers
Answer:
The answer will
be 0
Step-by-step explanation:
=9+4×8-8
=13×0
=0
Vertex: (-1,4) Point: (1,8)
Answers
Answer:
See below
Step-by-step explanation:
I assume you want the quadratic that has these values
Vertex form of this parabola
y = a(x- - 1)^2 + 4 insert the given point to calculate 'a'
8 = a (1 + 1)^2 + 4 shows a = 1
y = (x+1)^2 + 4 expand this vertex form to get the quadratic form
y = x^2 + 2x + 5
Given the discrete uniform population: 1 fix} = E El. elseweltere .x=2.4ifi. Find the probability that a random sample of size 511, selected with replacement, will yield a sample mean greater than 4.1 but less than 4.11. Assume the means are measured to the any level of accuracy. {3 Points}.
Answers
The probability of obtaining a sample mean between 4.1 and 4.11 in a random sample of size 511 is 0.
To calculate the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in a discrete uniform population with x = 2.4, we can use the properties of the sample mean and the given population.
In a discrete uniform population, all values are equally likely. Since the mean of the population is x = 2.4, it implies that each value in the population is 2.4.
The sample mean is calculated by summing all selected values and dividing by the sample size. In this case, the sample size is 511.
To find the probability, we need to calculate the cumulative distribution function (CDF) for the sample mean falling between 4.1 and 4.11.
Let's denote X as the value of each individual in the population. Since X is uniformly distributed, P(X = 2.4) = 1.
The sample mean, denoted as M, is given by M = (X1 + X2 + ... + X511) / 511.
To find the probability P(4.1 < M < 4.11), we need to calculate P(M < 4.11) - P(M < 4.1).
P(M < 4.11) = P((X1 + X2 + ... + X511) / 511 < 4.11)
= P(X1 + X2 + ... + X511 < 4.11 * 511)
Similarly,
P(M < 4.1) = P(X1 + X2 + ... + X511 < 4.1 * 511)
Since each value of X is 2.4, we can rewrite the probabilities as:
P(M < 4.11) = P((2.4 + 2.4 + ... + 2.4) < 4.11 * 511)
= P(2.4 * 511 < 4.11 * 511)
Similarly,
P(M < 4.1) = P(2.4 * 511 < 4.1 * 511)
Now, we can calculate the probabilities:
P(M < 4.11) = P(1224.4 < 2099.71) = 1 (since 1224.4 < 2099.71)
P(M < 4.1) = P(1224.4 < 2104.1) = 1 (since 1224.4 < 2104.1)
Finally, we can calculate the probability of the sample mean falling between 4.1 and 4.11:
P(4.1 < M < 4.11) = P(M < 4.11) - P(M < 4.1)
= 1 - 1
= 0
Therefore, the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in the given discrete uniform population is 0.
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2. Explain how to find the surface area of any prism.
Answers
write the function below in slope and show ALL the steps to getting the answers
Answers
we have the equation
\(x-\frac{1}{3}y=4\)the equation in slope-intercept form is
y=mx+b
so
Isolate the variable y in the given equation
step 1
subtract x both sides
\(\begin{gathered} x-\frac{1}{3}y-x=4-x \\ \\ -\frac{1}{3}y=4-x \end{gathered}\)step 2
Multiply by -3 both sides
\(\begin{gathered} (-3)\cdot(-\frac{1}{3}y)=-3(4-x) \\ y=-12+3x \\ y=3x-12 \end{gathered}\)A company manufactures a special type of sensor, and packs them in boxes of 4 for shipment. Then a new design increases the weight of each sensor by 9 grams. The new package of 4 sensors weighs 76 grams. How much did each sensor weigh originally?
Answers
As the firm develops a specific sort of sensor and ships them in boxes of four, each sensor weighed 10 grams at first.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10.
Here,
Let's call the original weight of each sensor "w". The total weight of 4 sensors would be 4w.
With the new design, each sensor weighs 9 grams more, so each sensor weighs w + 9 grams. The total weight of 4 sensors is 76 grams, so we can write an equation:
4(w + 9) = 76
Expanding the left-hand side and solving for w, we have:
4w + 36 = 76
4w = 40
w = 10
So each sensor originally weighed 10 grams as company manufactures a special type of sensor, and packs them in boxes of 4 for shipment.
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