find the unknown angle in tye guven figure with reason​

Answer:

no they are not equalent to each other

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

The functions representing the width (We(x)) and length (Lg(x)) of the bell pepper patch are:

We(x) = (1/2) * x

Lg(x) = x + 2

Let's break down the information given to write the functions for the width and length of the bell pepper patch.

We know that:

1. The width of the bell pepper patch should be half the width of the tomato patch.

2. The length of the bell pepper patch should exceed the length of the tomato patch by 2 feet.

Based on this information, we can write the functions as follows:

1. Width of the bell pepper patch (We):

Since the width of the bell pepper patch should be half the width of the tomato patch, we can define the width function as:

We(x) = (1/2) * x

Here, 'x' represents the width of the tomato patch, and (1/2) * x represents half of that width, which is the width of the bell pepper patch.

2. Length of the bell pepper patch (Lg):

Since the length of the bell pepper patch should exceed the length of the tomato patch by 2 feet, we can define the length function as:

Lg(x) = x + 2

Here, 'x' represents the length of the tomato patch, and x + 2 represents the length of the bell pepper patch, which exceeds the length of the tomato patch by 2 feet.

So, the functions representing the width (We(x)) and length (Lg(x)) of the bell pepper patch are:

We(x) = (1/2) * x

Lg(x) = x + 2

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The speed of the aeroplane per hour during the journey is (d) 1550 km/hr.

The time the aeroplane would take to reach its destination if it starts on schedule is T.The distance from the starting point to its destination is D.The speed of the plane from the starting point to its destination is S.When the plane starts 1.5 hours late, it takes T + 1.5 hours to reach its destination at the scheduled time.The distance traveled by the plane under this circumstance is still D.

When the pilot increases the speed of the plane by 800 km/h, the time it takes to travel from the starting point to the destination is reduced by 1.5 hours. So, the time taken to travel the distance D is (T - 1.5) hours.The formula to find speed is distance divided by time.Using these values we can find the speed of the aeroplane.

Solving the equation,D/S = T... equation [1]D/S+800 = T - 1.5... equation [2]Substitute the value of T from equation [1] in equation [2], we get:D/S + 800 = D/(S + 800) - 1.5Solving the equation, we get:S2 - 400S - 3,20,000 = 0S = 1550 km/hr

Therefore, the speed of the aeroplane per hour during the journey is (d) 1550 km/hr.

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Answer:

b

Step-by-step explanation:

if the number of turtles is 2 then you add 4 birds so that is 6 then you times ti by 2 to get the number of cats

2:tutles

4:birds

12:cats

2+12+4=18

The total number of Gary's pets will be 18. Option B is correct.

Arithmetic is an area of mathematics involving the study of numbers and the different operations that can be performed on them. Addition, subtraction, multiplication, and division are the four basic math operations.

The number of birds he has is 4 more than the number of turtles,

y=x+4

c=2×b

if the number of turtles is 2 then you add 4 birds so that is 6 then you time by 2 to get the number of cats.

The  total number of Gary's pets is found as;

T=2+12+4

T=18

The total number of Gary's pets will be 18.

Hence, option B is correct.

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Answer:

61 miles in one hour

Step-by-step explanation:

366/6=

6*6=36

366/6=06

6*1=6

366/6=061 miles per hour

Answer: 61 mph

Step-by-step explanation: 366miles/ 6 total hours= 61 miles driven each hour.

here this probally will help

Answer:

5, 3

Step-by-step explanation:

We have found that f(1) = 1 when f(0) = 0, f(1) = -2 when f(3) = 6, and f(1) = 3 when f(-2) = 6. This can be answered by the concept of slope.

The problem asks us to find the value of f(1) given some information about the derivative of the function f(x). We are given that f'(x) = 2x for all x, and we need to use this information to find specific values of f(1) given different conditions on f(x).

To solve this problem, we need to use the fact that the derivative of a function gives us information about the rate of change of the function at any given point. Specifically, the derivative tells us the slope of the tangent line to the function at that point.

a) We are given that f'(x) = 2x for all x, and we know that f(0) = 0. This tells us that the function f(x) must be of the form f(x) = x² + C, where C is a constant that we can find by using the initial condition f(0) = 0. Plugging in x = 0, we get f(0) = 0² + C = 0, which implies that C = 0. Therefore, f(x) = x², and f(1) = 1² = 1.

b) We are given that f'(x) = 2x for all x, and we know that f(3) = 6. Using the same reasoning as before, we can write f(x) = x² + C, where C is a constant that we can find using the initial condition f(3) = 6.

Plugging in x = 3, we get f(3) = 3² + C = 9 + C = 6, which implies that C = -3.

Therefore, f(x) = x² - 3, and f(1) = 1² - 3 = -2.

c) We are given that f'(x) = 2x for all x, and we know that f(-2) = 6. Using the same reasoning as before, we can write f(x) = x² + C, where C is a constant that we can find using the initial condition f(-2) = 6.

Plugging in x = -2, we get f(-2) = (-2)² + C = 4 + C = 6, which implies that C = 2.

Therefore, f(x) = x² + 2, and f(1) = 1² + 2 = 3.

Therefore, we have found that f(1) = 1 when f(0) = 0, f(1) = -2 when f(3) = 6, and f(1) = 3 when f(-2) = 6.

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Answer:

68 pounds.

Step-by-step explanation:

Find the total weight when there are 10 boys and when there are 9 boys then calculate the difference.

I'll let x = total weight.

\(\frac{x}{10}=77\\(10)\frac{x}{10}=77(10)\\x=770\\\\ \frac{x}{9}=78\\(9)\frac{x}{9}=78(9)\\x=702\\\\ 770-702=68\)

Therefore, the youngest boy weighs 68 pounds.

The value of the indicated operation -11 + -19 is -30

The expression is given as:

-11 + -19

Evaluate the product of + and -.

So, we have:

-11 + -19 =  -11 -19

Evaluate the difference

-11 + -19 =  -30

Hence, the value of the indicated operation -11 + -19 is -30

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If the rank of matrix A is equal to the number of columns of A, and the rank of matrix A is equal to the rank of the augmented matrix [A|b], then the system Ax = b will have a unique solution for all choices of b. Otherwise, the system Ax = b will not have a unique solution for all choices of b.

To determine if the system ax = b has a solution for all choices of b, we need to look at the rank of the matrix A and the rank of the matrix formed by appending the vector b to the matrix A.

The rank of a matrix is the number of linearly independent rows or columns in the matrix. If the rank of matrix A is equal to the number of columns in A, then matrix A is full rank and the system Ax = b will have a unique solution for all choices of b. If the rank of matrix A is less than the number of columns in A, then matrix A is not full rank, and the system Ax = b will not have a unique solution for all choices of b.

If the rank of matrix A is equal to the rank of the matrix formed by appending the vector b to matrix A, the system Ax = b will have a unique solution for all choices of b. If the rank of matrix A is less than the rank of the matrix formed by appending the vector b to matrix A, the system Ax = b will not have a unique solution for all choices of b.

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In geometry, a transversal is a line that intersects two or more other lines. When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles .

It is given that <1 = <2

Then m<3 = m<4, since

Therefore, m<3 = m<4.

Answer:

I THINK ITS MC

Step-by-step explanation:

Both the white longhair female cat (w/w; l/l) and the black shorthair male cat (w/w; l/l) are homozygous for the white coat color (w/w) and the longhair trait (l/l).

When these cats mate, all the kittens will inherit one allele for each trait from each parent. Since both parents are homozygous for the white coat color (w/w), all kittens will also inherit the white coat color gene from both parents, resulting in white kittens (w/w). Similarly, both parents are homozygous for the longhair trait (l/l), so all kittens will inherit the longhair allele from both parents, making them longhair kittens (l/l).

In conclusion, all 12 kittens will have a white coat color and long hair, just like their parents. They will look like white longhair kittens, with the genotype (w/w; l/l) for both traits. It is important to remember that being a responsible pet owner includes spaying or neutering your pets to prevent unwanted litters, and finding loving homes for any kittens or puppies that may be born.

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To find the expected value of A, denoted E[A], we need to compute the sum of the products of the number of surviving cells and their respective probabilities.

Let's break down the problem and establish the necessary variables:

n: Total number of cells in the body

k: Number of target cells

w_i: Weight associated with cell i, for i = 1,...,n

A: Total number of cells alive when all cells 1,2,...,k have been killed

To compute E[A], we can consider the cells being destroyed one at a time in a random order. Let's denote the event that cell i is killed as K_i, and the event that cell i is still alive after all cells 1,2,...,k have been killed as A_i.

For any particular cell i, the probability of cell i being killed next is given by:

P(K_i) = w_i / (sum of weights of all surviving cells)

The probability of cell i being alive after all cells 1,2,...,k have been killed is:

P(A_i) = 1 - P(K_i)

Now, we can express the total number of cells alive A as:

A = A_1 + A_2 + ... + A_n

To find E[A], we need to compute the expected value of A:

E[A] = E[A_1 + A_2 + ... + A_n]

= E[A_1] + E[A_2] + ... + E[A_n]

Since A_i follows a Bernoulli distribution with probability P(A_i), the expected value of A_i is simply P(A_i):

E[A_i] = P(A_i) = 1 - P(K_i)

Therefore, the expected value of A can be expressed as:

E[A] = 1 - P(K_1) + 1 - P(K_2) + ... + 1 - P(K_n)

= n - (P(K_1) + P(K_2) + ... + P(K_n))

To compute E[A], we need to calculate the probabilities P(K_i) for each cell i, and then sum them up. The specific values of w_i and the sum of weights of all surviving cells will determine the probabilities.

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The length of the radius AB is 6 units.

The angle ∠BAC is 90 degrees. The length of arc BC is 3π. The length of  

radius AB can be found as follows:

Hence,

length of arc = ∅ / 360 × 2πr

where

Therefore,

length of arc = 90 / 360 × 2πr

3π = 1 / 4 × 2πr

cross multiply

12π = 2πr

divide both sides by 2π

r = 6 units

Therefore,

radius AB = 6 units

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Answer:

If its going 50 mph then its going 50 mph right??

Step-by-step explanation:

sorry im dum tehe :'D

Answer:

Step-by-step explanation:

poop

Answer:

B. -9

Step-by-step explanation:

X² + 14x +45=0

(x+9)(x+5)=0

x = -9 or x = -5

x = -9 is the answer

Answer:

B. -9

Step-by-step explanation:

X^2 + 14x +45=0

Factor

What two numbers multiply to 45 and add to 14

5*9 = 45

5+9 = 14

(x+5)(x+9) = 0

Using the zero product property

x+5 =0  x+9=0

x+5-5 =0-5    x+9-9 = 0-9

x = -5            x=-9

The domain of the function f(x)  =  |x|² is the set of all real numbers (-∞ < x < ∞)

The range of the function f(x)  =  |x|² is the set of all real numbers greater than or equal to zero ( f(x) ≥ 0)

The given function is:

f(x)  =  |x|²

This can also be expressed as:

f(x) = x²

This is because the square operator cancels the effect of the absolute value

The function f(x) = x² is valid for all real values of x. Therefore, the domain of the function f(x) is -∞ < x < ∞

The range of the function f(x) is all positive real numbers. This is because the square of all numbers gives a positive number.

Range = f(x) ≥ 0

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Answer:

1. all the real numbers

2. all numbers less than or equal to 2.

Step-by-step explanation:

Answer:

The length of all sides of place mat is 48 inches.

Step-by-step explanation:

Given that:

Area of place mat = 135 square inches

Width of place mat = 9 inches

Length of place mat = x

Area = Length * Width

135 = 9x

\(\frac{9x}{9}=\frac{135}{9}\\x = 15\)

For length of all sides, we will find the perimeter.

Perimeter = 2(Length + Width)

Perimeter = 2(15+9)

Perimeter = 2(24) = 48 inches

Hence,

The length of all sides of place mat is 48 inches.

Answer:

45

tbh i don't really know. I've seen people say that it's 45, others have said 48. I don't see how either of them make sense. Maybe i'm doing the math wrong I don't know. I think it's 45

Problem:

34,600

The number between 1 and 10: __

The power of 10: __

The number in scientific notation: __

Solution:

The number between 1 and 10 is 3

The power of 10 is 4

The number in scientific notation is

3.46 × 10^4

The mass of the original sample of phosphorus-32 was approximately 717.7 grams.

To solve this problem, we can use the radioactive decay formula:

A = Ao * 2^(-t/h)

Where:

A = resulting amount after time t

Ao = initial amount (at t=0)

t = time

h = half-life of the substance

In this case, we are given that the half-life of phosphorus-32 is 14.28 days. We want to find the initial mass, represented by Ao.

After approximately 57 days, 55 g of phosphorus-32 remain unchanged. Let's plug these values into the equation:

55 = Ao * 2^(-57/14.28)

To solve for Ao, we can isolate it by dividing both sides of the equation by 2^(-57/14.28):

55 / 2^(-57/14.28) = Ao

Using a calculator to evaluate 2^(-57/14.28), we find that it is approximately 0.07666.

Therefore, the initial mass, Ao, is:

Ao = 55 / 0.07666 ≈ 717.7 g

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Answer:

275.06

Step-by-step explanation:

Checks would take away money from the bank account.

312.18 - 37.12

Subtract the check from the bank account

275.06

Hope this helps :)

Answer:

4

Step-by-step explanation:

4 is wrong

8/6 is not same as 6/4

It would take 5040 cubic inches of water to completely fill the aquarium.

We know that the formula for the volume of cuboid :

V = length × width × height

Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.

Here, l = 20 inches

w = 14 inches

and h = 18 inches

Using the formula for the volume of cuboid, the volume of aquarium would be,

V = l × w × h

V = 20 × 14 × 18

V = 5040 cu.in.

Therefore, it would take 5040 cu.in. of water.

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345.989554676 to 1 decimal place is 346.0

Decimals numbers are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point.

Example of decimal numbers are as follows;

12.4, 18. 9455, 56.7999, 6.7789, 9.067 etc.

When you round to the one decimal place, or to the nearest tenth, the number in the hundredth point place will determine whether you round up or down.

If the hundredths digit or second decimal number is a number between 5 and 9, round up to the nearest whole number. If it's a number between 0 and 4, you would "round down" by keeping the tenths place the same.

Therefore,

345.989554676 to 1 decimal place is 346.0

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Horizontal translation: 2 units right.

Vertical translation: 5 units up

Stretch/compression: stretched by a factor of 3.

Reflection: not reflected.

Main AnswerIn the study by Hoynes (2012), the population that is of interest to the researchers are families who receive Supplemental Nutrition Assistance Program (SNAP) or more commonly known as food stamps. The study examines the impact of the policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood.

The sample that the study examines are 60,782 families over the time period of 1968 to 2009, which is subsequent to the introduction of the Food Stamp Program in 1961. The data links family background in early childhood to adult health and economic outcomes.The characteristics of the population that are of interest to the researchers are the impact of a positive and policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood. Specifically, the researchers looked at the long-term effect of access to food stamps in childhood on the incidence of metabolic syndrome (obesity, high blood pressure, and diabetes) and an increase in economic self-sufficiency for women.

Based on the study, the researchers concluded that access to food stamps in childhood leads to a significant reduction in the incidence of metabolic syndrome and, for women, an increase in economic self-sufficiency. Hence, the results suggest substantial internal and external benefits of SNAP.

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