Answer:
x=5.2
Step-by-step explanation:
8x−14=7.7x+3x
Step 1: Simplify both sides of the equation.
8x−14=7.7x+3x
8x+−14=7.7x+3x
8x−14=(7.7x+3x)(Combine Like Terms)
8x−14=10.7x
8x−14=10.7x
Step 2: Subtract 10.7x from both sides.
8x−14−10.7x=10.7x−10.7x
−2.7x−14=0
Step 3: Add 14 to both sides.
−2.7x−14+14=0+14
−2.7x=14
Step 4: Divide both sides by -2.7.
−2.7x
/−2.7 =
14
/−2.7
x=−5.185185 or 5.2
Answer:
90% confidence interval: (70.41,86.89)
Step-by-step explanation:
We are given the following in the question:
Point estimate = 78.65
Margin of error, E = 8.24
Confidence level = 90%
Significance level = 10%
Formula:
Putting the values, we get,
(70.41,86.89) is the required 90% confidence interval.
Answer:
So angle 3 is congruent to angle 4 because they are both complimentary to 1 and 2.
By SAS, triangle SNM is congruent to triangle SNF.
By CPCTC, angle QMN is congruent to angle RFN.
By AAS, triangle QMN is congruent to RNF.
So by CPCTC, QM=RP