HELP ME PLEASE!! TOPIC: GEOMETRY
if QE = 2m + 3 and EI = m + 10 then find m and QI
if TU = 34 and EU = 4 n + 1 , then find N. click the picture:>
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HELP ME PLEASE!! TOPIC: GEOMETRY
if QE = 2m + 3 and EI = m + 10 then find m and QI
if TU = 34 and EU = 4 n + 1 , then find N. click the picture:>
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Answer:
To solve for m and QI in the given problem, we can use the fact that QI = QE + EI. Substituting the given expressions for QE and EI, we get:
QI = (2m + 3) + (m + 10)
= 3m + 13
We can also use the fact that QI = EI - EQ, where EQ is equal to TU. Substituting the given expressions for EI and TU, we get:
QI = (m + 10) - 34
= m - 24
Since both expressions for QI are equal, we can set them equal to each other and solve for m:
3m + 13 = m - 24
2m = -37
m = -18.5
Now that we have found m, we can substitute it back into either expression for QI to find its value:
QI = 3m + 13
= 3(-18.5) + 13
= -49.5
Therefore, m = -18.5 and QI = -49.5.
To solve for N in the second problem, we can use the fact that TE = TU + UE, where TE is equal to 4n + 1. Substituting the given expressions for TU and UE, we get:
TE = 34 + (4n + 1)
= 4n + 35
Now we can set TE equal to 4n + 1 and solve for N:
4n + 35 = 4n + 1
34 = 0
This is a contradiction, so there is no value of N that satisfies the equation. There might be a mistake in the problem statement, or we might be missing some information.
Step-by-step explanation:
sana mala tulong!
It is not stated whether this is an rhombus or a parallelogram, but luckily, the problem is only involving diagonals, which bisect each other in both type of quadrilateral.
Bisect means dividing a figure into two equal parts. For the first problem, since QE and EI are bisected by TU, then QE = EI. Now, to find first the value of m, we will substitute the value of this segments:
QE = EI
2m + 3 = m + 10
2m - m = - 3 + 10
m = 7
To find QI, we will add the measurements of the segments by substituting the value of m. So:
QI = QE + EI
QI = (2m + 3) + (m + 10)
QI = [2(7) + 3] + (7 + 10)
QI = 14 + 3 + 17
QI = 34
In the second problem, the measurement of segment TU is given as 34, while segment EU is given as 4n + 1. To find n, since QI bisects TU, it means that TE also has the measurement of (4n + 1). So,
TU = TE + EU
Through substitution of known values, we have:
34 = (4n + 1) + (4n + 1)
34 = 8n + 2
34 - 2 = 8n
32 = 8n
32 / 8 = 8n / 8
4 = n
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