Answer:
the answer is 10,000
Step-by-step explanation:
i don't know
I think you do this
how many numbers times itself to the length of the code.
Nothing else is given, so for the two triangles to be congruent, the only possible proof is the ASA theorem.
first pairs of angles: 2x+7=x+21 => x=14
second pairs of angles: 8y-4=4y+28 =>y=8
The two triangles share the same side PR
Based on the Angle-Side-Angle Triangle Congruence theorem, these two triangles are congruent with x=14, y=8
(2x+7) +(8y-4) +Q=180 =>85
Answer:
Test statistic = 1.3471
P-value = 0.1993
Accept the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 4
Sample mean,
= 4.8
Sample size, n = 15
Alpha, α = 0.05
Sample standard deviation, s = 2.3
First, we design the null and the alternate hypothesis
We use two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have

Now, we calculate the p-value.
P-value = 0.1993
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.
Answer: y = 6 mi. .
______________________________________________
Explanation:
______________________________________________
Area of a triangle = (½) * (base) * (height) ;
or, A = (½) * b * h ; or, A = b*h / 2 ;
_____________________________________
Given: A = 24.3 mi ² ;
b = 8.1 mi
___________________
Find the height, "h" ; (in units of "miles", or , "mi" ).
__________________________
Plug in the known values into the formula:
24.3 mi ² = (½) * (8.1 mi) *(h) ;
_____________________________
Solve for "h" (height) ;
_____________________________
(½) * (8.1 mi) = 4.05 mi ;
______________________________
Rewrite:
____________________________
24.3 mi² = (4.05 mi) *(h) ; Solve for "h" ;
_________________________________________
Divide each side of the equation by "(4.05 mi)" ; to isolate "h" on one side of the equation ; and to solve for "h" ;
__________________________________________
24.3 mi² / 4.05 mi = (4.05 mi) *(h) / 4.05 mi ;
→ 6 mi = h ; ↔ h = 6 mi.
→ h = y = 6 mi.
____________________________________________