How many solutions does the equation 3x-2x+4=2+x+2 have?
2 answers:
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Answer:
The length of is;
D. 38 units
Step-by-step explanation:
The given parameters are;
The type of the given quadrilateral FGHI = Rectangle
The diagonals of the quadrilateral = and
The length of IE = 3·x + 4
The length of EG = 5·x - 6
We have from segment addition postulate, = IE + EG
The properties of a rectangle includes;
1) Each diagonal bisects the other diagonal into two
Therefore, bisects
, into two equal parts, from which we have;
IE = EG
= IE + EG
3·x + 4 = 5·x - 6
4 + 6 = 5·x - 3·x = 2·x
10 = 2·x
∴ x = 10/2 = 5
From which we have;
IE = 3·x + 4 = 3 × 5 + 4 = 19 units
EG = 5·x - 6 = 5 × 5 - 6 = 19 units
= IE + EG = 19 + 19 = 38 units
= 38 units
2) The lengths of the two diagonals are equal. Therefore, the length of segment is equal to the length of segment
Mathematically, we have;
=
= 38 units
∴ = 38 units.
5/6
Steps are on paper. If need more explanation, comment
Steps are on paper. If need more explanation, comment
Step-by-step explanation: To draw a line plot for the data shown here, first begin by drawing a line.
Next, notice that the smallest number in our data set is 10 so we begin our line plot at 10. Next, notice that the greatest number in our data set is 22 so we continue our line plot until 22.
Now we fill in the numbers in between.
So we have 10 which we already have, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, and 22.
Now, notice that there is one 10 in our data set so we put one x above 10. Next, notice that are no 11's, no 12's, and no 13's in our data set. So we put no x's above 11, no x's above 12, and no x's above 13. Next, notice that there is one 14 in our data set so we put one x above 14. Now, notice that there is one 15 and one 16 in our data set so we put one x above 15 and one above 16. Since there are no 17's or 18's in our data set, we put no x's above 17 and no x's above 18. Finally, notice that there is three 19's, no 20's, one 21, and one 22 in our data set so we put three x's above 19, and one x above 21 and 22. We put no x's above 20.
I have attached my line plot in the image provided.
