There are 3 consecutive integers that add up to 9 which integers are they?
Answers
Answer:
The integers are 2,3,4
Step-by-step explanation:
Let one integer be =
Since, the integers are consecutive, so they will increase by one.
So, 2nd integer will be =
3rd integer will be =
It is given that the 3 integers add up to 9.
So, we have the sum equation as:
Solving for
Combining like terms.
Subtracting both sides by 3.
Dividing both sides by 3.
∴ 1st integer =
2nd integer =
3rd integer =
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A) similar; SAS similarity; ΔBAC
B) not similar
C) similar; SSS similarity; ΔABC
D) similar; SAS similarity; ΔABC
Answers
Answer: The correct option is
(C) similar; SSS similarity; ΔABC.
Step-by-step explanation: We are given to check whether the pair of triangles in the figure are similar to each other or not.
If so, we are to complete the similarity statement.
From the figure, we note that
the lengths of the sides of triangle STU are
ST = 72, TU = 80 and SU = 56.
And, the lengths of the sides of triangle ABC are
AB = 27, BC = 30 and AC = 21.
So, we get
That is,
Therefore, the corresponding sides of the two triangles are proportional.
Hence, triangle ABC and STU are similar by SSS similarity.
Option (C) is CORRECT.
Answer:
Option C) similar; SSS similarity; ΔABC
Step-by-step explanation:
we know that
The SSS similarity state : If the corresponding sides of two triangles are proportional, then the two triangles are similar
In this problem
80/30=56/21=72/27
2.67=2.67=2.67 -----> is true
therefore
The triangles STU and ABC are similar by SSS similarity
Answers
4y-8>10
Add 8
4y-8+8>10+8
4y>18
Now divide both sides by 4
4y/4 > 18/4
y>9/2
Now let's see if it will be true
Replace y by its value
4(9/2)-8>10
36/2 -8 > 10
18-8 > 10
10 > 10
That's false because 10 can not smaller than 10
so it should be = instead
Answer : False
I hope that's help:)
Answers
Answers
Answer:
The line equation in standard form is 2x – 3y = 19.
Explanation:
Given:
The point (8,-1) and (2,-5) in standard form
The point slope form is y + 1 = 2/3(x-8).
To find:
Equation of the line
Solution:
Now, we have line equation in point slope form, we have to convert it into standard form i.e. ax + by = c
Then, let us simplify the above equation.
3(y + 1) = 2(x – 8)
3y + 3 = 2x – 16
2x – 3y = 16 + 3
2x – 3y = 19
Hence, the line equation in standard form is 2x – 3y = 19.