The y-value for the E coordinate after the translation of the points will be 9.
The process of changing the location of the image on the coordinate system will be known as the translation.
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that triangle, EFG with the coordinates E (-3,5), F(-3, 1), (1, 1) is translated as 2 units left and 4 units up.
E(-3,5) translated 2 units left would be (-5,5), then translated 4 units up would be (-5,9).
Therefore, the y-value for the E coordinate after the translation of the points will be 9.
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Answer:
the y value would be 9
full translation(-5,9)
Step-by-step explanation:
E(-3,5) translated 2 units left would be (-5,5), then translated 4 units up would be (-5,9)
Prove: m∠BAC=m∠BCA
Statement
Reason
1. Let ΔABC be an isosceles triangle with
AB = BC.
given
2. Create point D on side AC¯¯¯¯¯ so BD¯¯¯¯¯ bisects
∠ABC.
constructing an angle bisector
3. m∠ABD=m∠CBD
definition of angle bisector
4. BD = BD
Reflexive Property of Equality
5. ΔABD≅ΔCBD
6. m∠BAC=m∠BCA
Corresponding angles of congruent triangles have equal measures.
A. ASA
B. SSS
C. AAS
D. SAS
You are comparing side AB, angle ABD, and side BD in one triangle to side CB, angle CBD, and side BD in the other triangle. That is, you are comparing a Side, Angle, and Side in each triangle. The SAS postulate is the reason the triangles are congruent.
Answer:
The correct option is D) SAS
Step-by-step explanation:
Consider the provided statement.
SAS Similarity Theorem: If two sides of a triangle are proportional to the two sides of another triangle and the included angle in both are congruent, then the two triangles are similar.
Statement 1: Let ΔABC be an isosceles triangle where AB = BC.
Reason 1: Given
Statement 2: Create point D on so that bisects ∠ABC as shown.
Reason 2: Constructing an angle bisector.
Statement 3: m∠ABD = m∠DBC
Reason 3: Definition of angle bisector
Statement 4: BD = BD
Reason 4: Reflexive Property of Equality
Statement 5: ΔABD ≅ ΔCBD
Reason 5: SAS
Statement 6: m∠BAC = m∠BCA
Reason 6: Corresponding angles of congruent triangles are equal.
From Reflexive Property of Equality we know BD=BD, m∠ABD = m∠DBC definition of angle bisector and AB = BC, which follows the Side angle side (SAS) similarity.
If the survey resulted in the data above, the distribution of fish lengths would be best described as...
A.
symmetrical with multiple modes.
B.
symmetrical with one mode.
C.
skewed to the right.
D.
skewed to the left.
Answer:
I’m thinking skewed to the right
Answer:
I think it is D but not totally sure.
And i am sorry you had to ask so many times, i hope D was the correct answer.
Also this talks about skewed images:
The heart rate of the person after 6 minutes of exercise, assuming it increases by 12 beats per minute during this period, would be 137 beats per minute.
The question asks for the heart rate of a person after 6 minutes of exercise, given that it increases by 12 beats per minute during the first 10 minutes. To solve this, we start with the person's resting heart rate, which is 65 beats per minute. For each minute of exercise, we add 12 beats to the resting rate. So for 6 minute workout, the increase would be 6 times 12, which equals 72. Adding this to the resting heart rate, 65 + 72, the heart rate after 6 minutes of exercise would be 137 beats per minute.
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Answer:
The 90% for the average weights of men is between 137.24 lb and 185.76 lb.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 14 - 1 = 14
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of . So we have T = 1.7709
The margin of error is:
M = T*s = 1.7709*13.7 = 24.26
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 161.5 - 24.26 = 137.24 lb
The upper end of the interval is the sample mean added to M. So it is 161.5 + 24.26 = 185.76 lb
The 90% for the average weights of men is between 137.24 lb and 185.76 lb.
Answer:
491400
Step-by-step explanation:
Given : A club has 28 members.
To Find : . How many ways are there to choose four members of the club to serve on an executive committee?
Solution:
We are supposed to choose four members of the club out of 28.
So, we will use combination
Formula :
n = 28
r = 4
Substitute the values :
Hence there are 491400 ways o choose four members of the club to serve on an executive committee
Answer:
88
Step-by-step explanation:
72 + 95 + 100 + 85 + 88=440
440/5=88