Answer:
SAS Postulate
Step-by-step explanation:
You can use the SAS (side, angle, side) postulate that says "if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent"
Side AB is proportionate to DE and
Side AC is proportionate to DF.
Angle A and Angle D are the same; and is between the two sides
I hope this helps.
Answer: you spent 250 hours during your cleanup.
you spent 150 hours painting
Step-by-step explanation:
Let x represent the number of hours that you spent during your cleanup.
Let y represent the number of hours that you spent painting.
you earn $8 an hour cleaning up and $12 an hour painting last summer and you earned $3800 . it means that
8x + 12y = 3800- - - - - - - - - -- 1
You worked a total of 400 hours. This means that
x + y = 400
Substituting x = 400 - y into equation 1, it becomes
8(400 - y) + 12y = 3800
3200 - 8y + 12y = 3800
- 8y + 12y = 3800 - 3200
4y = 600
y = 600/4 = 150 hours
Substituting y = 150 into x = 400 - y, it becomes
x = 400 - 150
x = 250 hours
Hundredths is the greater value when comparing hundredths and thousandths.
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Answer:
We have sufficient evidence to conclude at α = .05 that the husband’s perception would be higher than the wife’s.
Step-by-step explanation:
The hypotheses testing procedure in the given scenario is
H0: Husband’s perception would be similar to the wife’s i.e. μh=μw
Ha: Husband’s perception would be higher than the wife’s i.e. μh>μw
Level of significance: α=0.05
Test statistic: t=2.776
Critical region: t>t(0.05,9)=1.833
Conclusion: As the calculated value of t lies in critical region, so we reject our null hypothesis at 0.05 level of significance. Thus, we have sufficient evidence to conclude at α = .05 that the husband’s perception would be higher than the wife’s.
