The answer would be 42
42*3 = 126
126+5 = 131
3(n)+5=131
3(n)+5 -5= 131-5
3(n)=126
3(n)/3= 126/3
n= 42
Answer:
A, C, D
Step-by-step explanation:
Consider triangles NKL and NML. These triangles are right triangles, because
In these right triangles:
- - reflexive property;
- - given
Thus, triangles NKL and NML by HA postulate. Congruent triangles have congruent corresponding parts, so
Since
then
Option B is false, because KN=52 units.
Option E is false, because LN is congruent KN, not LM
Check the picture below. Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm². Also, recall, the base is a square, thus, length = width = x.
so.. that'd be the V(x) for such box, now, where is the maximum point at?
now, let's check if it's a maximum point at 10, by doing a first-derivative test on it. Check the second picture below.
so, the volume will then be at
Answer:
The answer to your question is c = 20
Step-by-step explanation:
Data
a = 15
j = 24
k = 32
c = ?
Process
Use proportions to solve this problem. Compare the small triangle and the large triangle.
1.- Proportion of the small triangle
c/15
2.- Proportion of the large triangle
k/j
3.- Equal but terms and solve for c
c/15 = k/j
-Substitution
c / 15 = 32/24
c = 32(15)/24
-Result
c = 20
Answer:
x = $0.50
y= $0.75
Step-by-step explanation:
1. Multiply the equations to have the same coefficients
5(6x + 6y = 7.5) → 30x + 30y = 37.5
3(10x + 5y = 8.75) → 30x + 15y = 26.25
2. Subtract the equations
30x + 30y = 37.5
<u>- 30x + 15y = 26.25</u>
15y = 11.25
3. Solve for y by dividing both sides by 15
y = 0.75
4. Plug in 0.75 for y into one of the equations
6x + 6(0.75) = 7.5
5. Simplify
6x + 4.5 = 7.5
6. Solve for x
6x = 3
x = 0.5