Answer:
sum of interior angle of a triangle is 180 degree
so,
3x +7 + 2x+7 +3x+6 = 180
8x + 20 = 180
8x = 180 - 20
8x = 160
x = 160/ 8
x = 20
May it will help you
We know the CE = 10x + 18 and DE = 7x - 1 and D is the midpoint of CE
⇒ CE = 2 * DE
⇒ 10x + 18 = 2 * (7x - 1)
⇒ 10x + 18 = 14x - 2
⇒ -4x = -20
⇒ x = 5
Now we also know that BC = 9x - 3 and AC = CE = 10x + 18
⇒ AB = AC - BC
⇒ AB = 10x + 18 - (9x - 3)
⇒ AB = x + 21
Substituting the value of x,
⇒ AB = 5 + 21
⇒ AB = 26
Hence, the value of AB is 26 units.
Answer:
CI = (98.11 , 98.49)
The value of 98.6°F suggests that this is significantly higher
Step-by-step explanation:
Data provided in the question:
sample size, n = 103
Mean temperature, μ = 98.3
°
Standard deviation, σ = 0.73
Degrees of freedom, df = n - 1 = 102
Now,
For Confidence level of 99%, and df = 102, the t-value = 2.62 [from the standard t table]
Therefore,
CI = 
Thus,
Lower limit of CI = 
or
Lower limit of CI = 
or
Lower limit of CI = 98.11
and,
Upper limit of CI = 
or
Upper limit of CI = 
or
Upper limit of CI = 98.49
Hence,
CI = (98.11 , 98.49)
The value of 98.6°F suggests that this is significantly higher and the mean temperature could very possibly be 98.6°F
Answer:
Option B. house B; monthly payment of $1,550.89 is the correct answer.
Step-by-step explanation:
In order to calculate the highest payment Pete can afford we have to subtract his expenses from his housing budget.
Given
Total housing budget = $2250
Monthly costs = $215.75
Utilities = $143.50
Taxes = $273
First all expenses can be added together to subtract from the housing budget.
So

Now the total monthly cost will be subtracted from housing budget.

Hence, he saves $1617.75 for monthly payment.
Looking at the options, C and D will be ruled out as both the quantities are greater than 1617.75
Option A and B both are smaller than 1617.75 but as $1,550.89>$1,327.18, Option B is the highest monthly payment Pete can afford.
Hence,
Option B. house B; monthly payment of $1,550.89 is the correct answer.