Answer:
12825$
Step-by-step explanation:
1 yard = 3 ft
we can convert each of the lengths from ft to yards
240 ft = 80 yards
285 ft = 95 yards
450 ft = 150 yards
150+150+95+80 = 475 yards
1 yard of fencing costs 27$ so we are going to multiply that by the total yards
475*27=12825$
Given:
m∠B = 44°
Let's find the following measures:
m∠A, m∠BCD, m∠CDE
We have:
• m∠A:
Angle A and Angle B are interior angles on same side of a transversal.
The interior angles are supplementary.
Supplementary angles sum up to 180 degrees
Therefore, we have:
m∠A + m∠B = 180
m∠A + 44 = 180
Subtract 44 from both sides:
m∠A + 44 - 44 = 180 - 44
m∠A = 136°
• m,∠,BCD:
m∠BCD = m∠A
Thus, we have:
m∠BCD = 136°
• m∠CDE:
Angle C and angle CDE form a linear pair.
Linear pair of angles are supplementary and supplementary angle sum up to 180 degrees.
Thus, we have:
m∠D = m∠B
m∠D = 44°
m∠CDE + m∠D = 180
m∠CDE + 44 = 180
Subract 44 from both sides:
m∠CDE + 44 - 44 = 180 - 44
m∠CDE = 136°
ANSWER:
• m∠A = 136°
,
•
,
• m∠BCD = 136°
,
•
,
• m∠CDE = 136°
Answer:
7
Step-by-step explanation:
1. Lets Combine Like Terms. The only combineable terms are 8 and 8. So if we combine them they will equal 16. And we will have (2n+2)=16
2. Let's isolate the variable. We can do this by subtracting 2 from both sides. This will come out to 2n+14.
3. Let's further isolate the variable. We can do this by dividing both sides by two, which will finally come out to n=7
Answer:
y²/324 -x²/36 = 1
Step-by-step explanation:
Where (0, ±b) are the ends of the transverse axis and y = ±(b/a)x describes the asymptotes, the equation of the hyperbola can be written as ...
y²/b² -x²/a² = 1
<h3>Application</h3>
Here, we have transverse axis endpoints of (0, ±18) and asymptotes of y = ±3x, so we can conclude ...
b = 18
b/a = 3 ⇒ a = 18/3 = 6
The equation of the hyperbola in standard form is ...
y²/324 -x²/36 = 1
5+x=-9
Use the subtractive property of equality to isolate x.
5+x=-9
-5 -5
x=-14
The value that satisfies x is -14. You can check your work by substituting x as -14 and checking if the equation is satisfied.
5+x=-9
x=-14
5+(-14)=-9
5-14=-9
-9=-9
the answer is correct. Succinctly, x=-14.
