Answer:
Step-by-step explanation:
By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property
(6x)° + 90° + (x+6)° = 180°
To solve for x, first combine the terms to get (7x + 96) = 180°
Using the Subtraction property of equality,
7x = 84.
Then using the division property of equality x = 12.
To find the measure of angle A,
Use the subtraction property to get m∠A = 6(12)°.
Finally simplifying the expression gets m∠A = 72°.
Start by distributing the exponent to each of the terms in 
. This will become 
, and 
. Now, the expression is:
.
We can now simplify the bottom to read: 
because when multiplying variables raised to an exponent, we add the exponents. The expression now looks like:
The 2/8 simplifies to 1/4:
Now, we have two u terms on the top and bottom. When dividing variables raised to an exponent, we subtract the exponents. However, since 3-5=-2, the term will be on the bottom to avoid the negative exponent. The final answer is:
Hope this makes sense!!
They are all larger than 90 degrees, and in a triangle they would all be obtuse angles.
Answer:
Step-by-step explanation:
(x - 3)/2= 1
x - 3 = 2
x = 5
(y - 8)/2 = -2
y - 8 = -4
y = 4
(5, 4) coordinates for B
-8+3+-8--3
minusing a negativ means adding a positive
adding a negaative means minusing a positive
-8+3-8+3
-5-8+3
-13+3
-10
