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!
The sample is all voters in the district that think he’s doing a good job
Are those supposed to be exponents? When multiplying exponents you add them together
b^3 * b^1 * b^4 * b^2
3 + 1 + 4 + 2 = 10
Answer: b^10
Answer:
7
Step-by-step explanation:
-4 = 3x + 6y
6y = -3x - 4
y = -1/2x - 2/3.....slope here is -1/2. A parallel line will have the same slope
ax - 8y = 12
-8y = -ax + 12
y = (-a/-8)x + 12......so a would have to be -4 because -(-4) / -8 = -4/8 = -1/2
ur answer is : a = -4