Answer: x = -7
Concept:
From the given graph, we can see that it is an isosceles triangle since the two base angles are congruent.
In geometry, an isosceles triangle is a triangle that has two sides of equal length.
If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.
Solve:
<u>Given information</u>
First Side = 7
Second Side = x + 14
<u>Given expression deducted from the definition of an isosceles triangle</u>
Second Side = First Side
<u>Substitute values into the expression</u>
x + 14 = 7
<u>Subtract 14 on both sides</u>
x + 14 - 14 = 7 - 14
Hope this helps!! :)
Please let me know if you have any questions
Answer:
The answer to your question is 13.2 ft
Step-by-step explanation:
Data
length of the ladder = hypotenuse = 16 ft
adjacent side = 9 ft
opposite side = ?
Process
1.- To solve this problem use the Pythagorean theorem
c² = a² + b²
Solve for b²
b² = c² - a²
2.- Substitution
b² = 16² - 9²
3.- Simplification
b² = 256 - 81
b² = 175
b = 13.2 ft
4.- Conclusion
The ladder is 13.2 ft resting against the building.
Answer:
equation: y = -4x + 7
slope: -4
y-intercept: 7
Step-by-step explanation:
in order to make this equation into slope-intercept form, you have to isolate the y
to do that, you can subtract the 4x on both sides, which will leave y by itself
4x + y = 7
-4x -4x
y = -4x + 7
the slope is -4
and the y-intercept is 7
Answer:
The mean is 80 and the standard deviation is 20. Therefore we have
65 is 0.75 standard deviation below the mean.
Step-by-step explanation:
z = 
Since 85 is 0.25 standard deviations above the mean we have
or 0.25·σ = 85 - μ......1
1.5 = 
or 1.5·σ = μ - 50..............2
From 1 we have σ = 340 - 4·μ substituting into 2 gives
1.5·(340 - 4·μ) = μ - 50 ⇒ 510 - 6·μ = μ - 50
7·μ = 560 or μ = 80
Therefore σ = 340 - 4·μ = 340 - 4·80 = 20
A value, x, 0.75 standard deviation below the mean is given by
0.75 = 
which gives 15 = 80 - x or
x = 65.
Answer:
ok so we have want to find the price at 80%
100-20=80
so
37.50*0.80=30
30 dollars
Hope This Helps!!!
