Answer:
n=12
Step-by-step explanation:
5/6n=10
*6 *6
5n=60
n=12
Answer:
Step-by-step explanation:
by theorem :
f continu in [1 , 2]
f(1)×f(2) < 0 because : f(1) = -1 and f(2) = 15
so the equation f(x)=0 has at least one real root between x=1 and x=2
so :
Answer:
m < A = 60º
m < B = 30º
Step-by-step explanation:
The given sides on this triangle are: 6,
, and 12
Any triangle with the angles of 30º - 60º - 90º always has side lengths in this proportion:
x,
, 2x
We can line this up with the given sides. If x is 6, then 2x would be 12.
x :
: 2x = 6 :
: 12
Angle B is across from 6, the shortest side. That also means that it corresponds to x, or the smallest angle in the proportion, 30º.
m < B = 30º
Solving for < A:
Method 1) Sum of Angles in a Triangle
Since we already know that one angle is right and therefore 90º and m < B is 30º, we can subtract these from the total sum of angle measures in a triangle to get the last angle, < A.
180º - 90º - 30º = 60º
m < A = 60º
Method 2) Using the second part of the proportion
Since m < A is across from the second largest side, we know that it is equal to
(
in this question) or 60º in the angle proportion.
This means that m < A = 60º
Let me know if you have any questions!
x + x + 1 + x + 2 = 5x - 29
Combine like terms.
3x + 3 = 5x - 29
Subtract 3x from both sides.
3 = 2x - 29
Add 29 to both sides.
32 = 2x
Divide both sides by 2.
16 = x
<h3>The first digit is 16.</h3><h3>The second digit is 17.</h3><h3>The third digit is 18.</h3>