6a3-5b2+2c2-3a2bc if a=5 b=2c=-1
You can find the perimeter by just counting the distance of every line segment all around the shape since they have vertical and horizontal slopes.
Answer:
In order to read the degrees of an angle with a protractor, you must first determine if the angle is acute or obtuse. If it is acute, you use the measurement of the smaller number on the protractor. If it is obtuse, you use the larger measurement on the protractor.
For example, the measurement of the angle in question 1 seems to be about 74 degrees.
Answer:
See below
Step-by-step explanation:
1. 12
2. 15 [3*12-21 = 15]
3. 24 [3*15-21 = 24]
4. 51 [3*24 - 21 = 51]
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!