2.05 MC) Triangles ABC and DEF. Coordinates for A are 0, 2, for B 2, 4, and for C 1, negative 2. Given: ΔABC ≅ ΔEFD What is the length of Segment line FE rounded to the nearest tenth? (4 points) 2.8 3.4 4.1 6.1
Answer:
2.8
Step-by-step explanation:
From the congruence statement, we see that AB corresponds with EF; this means they will be congruent.
To find the measure of FE, we will find the distance between points A and B using the distance formula:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Using our coordinates for A and B, we have
[tex]A(0,2)\text{and }B(2, 4)\\\\d=\sqrt{(4-2)^2+(2-0)^2}=\sqrt{2^2+2^2}\\\\=\sqrt{4+4}=\sqrt{8}=2.828427\approx 2.8[/tex]
A farmer owns a total of 8 acres of land. The land is separated into 313 equally sized sections. How many acres are in each section?
Figure ABCD is a square. Prove BD ≅ AC. Statements Reasons 1. ABCD is a square 1. given 2. ∠DAB, ∠ABC, ∠BCD, and ∠CDA are right angles 2. definition of a square 3. ∠DAB ≅ ∠ABC ≅ ∠BCD ≅ ∠CDA 3. right angles are congruent 4. AB ≅ BC ≅ CD ≅ DA 4. ? 5. △BAD ≅ △ABC 5. SAS 6. BD ≅ AC 6. CPCTC What is the missing reason in the proof?
The missing reason for statement 4 in the given proof is: all sides are congruent.
What are Congruent Sides?Congruent sides are corresponding sides of corresponding figures that are congruent to each other. This means, they have the same measure of length.
In the proof given, statement 4 states that: AB ≅ BC ≅ CD ≅ DA. This implies equal lengths of sides AB, BC, CD, and DA.
Therefore, the missing reason in the proof is: all sides are congruent.
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which equation could used to solve : 3 less than 5 time a number is 22?
please help me with this math question i'm not good at math and i don't understand this well
9/2x+4 = 6/x+4
9x+36 = 12x+24
3x=12
x = 4
4+4 = 8
ED = 8
What algebraic expression models the word phrase three fewer than the sum of c and d?
Andy used 1/6 of a can of paint to cover 1/2 of a wall. How much of the can of paint did Andy use to paint the whole wall? Express your answer in simplest form. help ill mark brainliest
There are students in three rows taking a test. there are 22 students in the first row, 19 students in the second row, and a certain number of students in the third row. if there are a total of 62 students, how many students are in the third row?
To determine how many students are in the third row, subtract the sum of the students in the first two rows (22 + 19 = 41) from the total number of students (62). The result is that there are 21 students in the third row.
The student is asking a question related to basic arithmetic, specifically subtraction and problem-solving skills. To find out how many students are in the third row, we subtract the number of students in the first two rows from the total number of students. There are 22 students in the first row and 19 in the second row. The total number of students is 62.
So, we calculate the number in the third row as follows:
Calculate the combined number of students in the first two rows: 22 (first row) + 19 (second row) = 41 students.Subtract the number of students in the first two rows from the total number of students: 62 (total) - 41 (combined first and second rows) = 21 students.Therefore, there are 21 students in the third row.
molly has 1 3/8 cups of strawberries she needs 3/8 cups of strawberries to make one batch of muffins how many batches did molly make?
A psychology class consists of 14 males and 36 females. if the professor selects names from the class list using random sampling, what is the probability that the first student selected will be a female? if a random sample of n = 3 students is selected and the first two are both females, what is the probability that the third student selected will be a male?
Final answer:
The probability of selecting a female first from a class with 14 males and 36 females is 0.72. If the first two students selected are females, the probability that the third student will be a male is approximately 0.292.
Explanation:
The subject of this question is Mathematics, specifically dealing with the concept of probability in a high school level. We are to determine two probabilities: the chance of selecting a female student first from a class, and the likelihood of selecting a male student third given that the first two selected were females.
To find the probability of selecting a female first, we need to consider the total number of students and the number of females. The class has 14 males and 36 females, so the total number of students is-
14 + 36 = 50
The probability of selecting a female first is therefore the number of females divided by the total number of students, which is-
36/50 or 0.72
For the second probability, since the first two students selected are females, we now have a reduced pool of 34 females and 14 males, with a new total of 48. The probability of the third student being a male is then 14/48, which simplifies to 0.292 approximately.
How many pounds are 40kg
Which of the following is a true statement a.5/6>10/12
B.6/9=1./3
C.13/15>4/5
D.1/4>1/3
The true statements among the given statement by converting them as like fractions is equal to option c. 13/15 > 4/5.
To compare fractions, it's helpful to have them with the same denominator.
Let's convert each fraction to a common denominator, and then we can compare them:
a. 5/6 > 10/12
Common denominator for 6 and 12 is 12:
5/6 = 10/12
So, a is not true.
b. 6/9 = 1/3
Both fractions are simplified and convert to have same denominator (9),
6/9 and 3/9
6/9 > 3/9
so b is not true.
c. 13/15 > 4/5
Both fractions are simplified and convert to have the same denominator (15),
4/5 = 12/15
13/15 > 12/15
and we can see that 13/15 is greater than 4/5, so c is true.
d. 1/4 > 1/3
To compare these fractions, we need a common denominator, which is 12:
1/4 = 3/12
1/3 = 4/12
Now we can see that 1/3 is greater than 1/4, so d is not true.
Therefore, the true statements is option c. 13/15 > 4/5.
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Marcel is designing a circular necklace that will consist of 4 sections, each with a different color of plastic. Determine how he needs to cut the plastic by finding the measures of the angles.
Answer:
measure of angle 1 is 83 and measure of angle 2 is 97
Step-by-step explanation:
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Marcel needs to cut the plastic to create four equal angles of 90 degrees each for his circular necklace since a circle has a total of 360 degrees.
Explanation:The student is being asked to calculate the measures of the angles in a circular necklace that is divided into four equal sections. Since a circle has 360 degrees, and the necklace is divided into four sections, each section must be an equal fraction of the total degrees in a circle. To find the measure of each angle, we divide the total degrees in a circle (360) by the number of sections (4).
Step-by-step calculation:
Identify the total degrees in a circle: 360 degrees. Divide this number by the number of sections: 360 ÷ 4. Calculate the result: each section has an angle of 90 degrees.
Therefore, Marcel needs to cut each angle at 90 degrees to create four sections of the circular necklace.
The temperature outside is dropping at 3°/h. Given that the temperature at noon was 0°, what would the temperature at 1 PM at 2 PM at 3 PM and 6 PM what was the temperature T hours afternoon
MATH PLEASE HELP!!! loolissy
given an exponential function for compounding interest, A(x)=P(1.02)^x, what is the rate of change?
Answer:Its 2% guys
Step-by-step explanation:
The rest of the numbers are cut offf
225
250
270
there are 8 sides so the angles are 360/8 = 45
the answer is 45 degrees
Perform the indicated operation. 13/16 – 3/8
7/16
5/8
1 3/16
13/16 - 3/8
convert 3/8 to 16ths
3/8 = 6/16
13/16 - 6/16 =
13/6 =7
7/16 is the answer
Answer:
The correct option is 1.
Step-by-step explanation:
The given expression is
[tex]\frac{13}{16}-\frac{3}{8}[/tex]
We need to perform the indicated operation.
Make denominator common.
[tex]\frac{13}{16}-\frac{3\times 2}{8\times 2}[/tex]
[tex]\frac{13}{16}-\frac{6}{16}[/tex]
It can be written as
[tex]\frac{13-6}{16}[/tex]
[tex]\frac{7}{16}[/tex]
The value of given expression is [tex]\frac{7}{16}[/tex].
Therefore the correct option is 1.
solve the equation x-4-3x=-2x-3-1
Answer:
the equation is true for any value of x
Step-by-step explanation:
The equation simplifies to ...
-2x -4 = -2x -4
This is true for any value of x. There are an infinite number of solutions.
How can you use a number line to add and subtract like fractions?
Given that the legs of a right triangle measure a and b and the hypotenuse of the triangle measures c, what does the Pythagorean Theorem state about the sides of this triangle? a2 + c2 = b2 a2 − b2 = c2 2a + 2b = 2c a2 + b2 = c2
The Pythagorean Theorem establishes the relationship between the sides of a right triangle, highlighting that the sum of the squares of the two shorter sides equals the square of the hypotenuse.
The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse). In mathematical terms, it is represented as a² + b² = c². This relationship applies to all right triangles and is fundamental in geometry.
Luis needs to run no less than 120 miles in order to go with the cross country team to a summer training camp. He has thirty days to pre-train for the camp. Which inequality can be used to find how many miles Luis must run each day to meet this goal?
30 days to run at least 120 miles
120/30 = 4
let x = number of days
he needs to run at least 4 miles per day
so x≥4 ( do any of your choices look like this?)
X and Y are two mutually exclusive events. P(X)= 0.55 and P(X or Y)=0.7. Work out P(not Y) (2 marks)
To find the probability of not Y occurring when events X and Y are mutually exclusive, we subtract P(X) from P(X or Y) to get P(Y) and then subtract P(Y) from 1 to get P(not Y), resulting in a probability of 0.85.
The question asks us to find the probability of not event Y occurring, given that X and Y are mutually exclusive events, and we're provided with P(X) and P(X or Y). Since X and Y are mutually exclusive, the sum rule of probability states that P(X or Y) = P(X) + P(Y). Using the given values, we can express P(Y) as P(X or Y) - P(X), which is 0.7 - 0.55 = 0.15. Since the probability of an event and its complement sum to 1, P(not Y) is 1 - P(Y), which gives us 1 - 0.15 = 0.85.
Therefore, the probability of not Y is 0.85.
What is n. S=180n-360
If p(x) = x2 – 1 and ,q(x)=5(x-1) which expression is equivalent to (p – q)(x)?
Answer:
C ) ( x² - 1 ) - 5 ( x - 1 )
Step-by-step explanation:
-4(5a - 6b + 10c - 3)
Under which condition does a country with a small GDP have a large per capita income?
Answer:
Small population
Step-by-step explanation:
GDP is defined as the Gross domestic product of a country. It is the amount of money made in the country at a specific period of time. It measures the economic state and progress of the country.
Per capital income is the average income citizens earn in a country.
However a country with a small GDP will have a large per capital income only if the population size of the country is small. This small population size will make it possible for less competition and more money going round for the citizens.
One survey estimates that, on average, the retail value of a mid-sized car decreases by 8% annually. If the retail value of a car is V dollars today, which expression represents the car’s value 1 year later?
A line blank has endpoints
Answer: A line never has endpoints .
Step-by-step explanation:
In geometry , a line is a straight one-dimensional undefined figure which extends infinitely in both directions.
Thus , a line contains no endpoints because it is extending infinitely in both the directions.
If a line has one end point then we call it a ray and if it has both endpoints then we call it line-segment.
Therefore , the complete sentence will be : A line never has endpoints
Which lines are parallel in the square pyramid?
Select each correct answer.
BC←→ and DE←→
CD←→ and BE←→
AD←→ and BC←→
AB←→ and AD←→
A square pyramid is a pyramid with a square base. In this problem, this base is formed by the points B, C, D and E as illustrated in the Figure above. So, the correct answers are:
First. (BC←→ and DE←→)
This is indicated in Figure 1. As you can see, the red lines are parallel, that is:
[tex]\overline{BC} \ is \ parallel \ to \ \overline{DE}[/tex]
Recall that two lines are parallel if they are always the same distant apart in which case they are equidistant, that is, they never meet.
Second. (CD←→ and BE←→)
This is indicated in Figure 2. As you can see, the green lines are parallel, that is:
[tex]\overline{CD} \ is \ parallel \ to \ \overline{BE}[/tex]
Answer: The correct options are
(A) BC←→ and DE←→
(B) CD←→ and BE←→
Step-by-step explanation: We are given to select each pair of sides that are parallel to each other in the square pyramid.
We know that
the base of a square pyramid is a square. And the opposite sides of a square are parallel to each other.
So, in the given square pyramid ABCDE, the base is a square BCDE.
Therefore, the pair of parallel sides are
BC and DE ; CD and BE.
This implies that option (A) and (B) are correct.
Thus, the correct options are (A) and (B).