Answer:
m∠A=90°, m∠B=60°, m∠C=30°
Step-by-step explanation:
step 1
Verify if the triangle ABC is a right triangle
Applying the Pythagoras theorem

----> is true
therefore
Is a right triangle
m∠A=90°
Find the measure of angle C
sin(C)=AB/BC
substitute
sin(C)=6/12=1/2
so
m∠C=30°
Find the measure of angle B
we know that
m∠C+m∠B=90°------> by complementary angles
so
m∠B=90°-30°=60°
Answer:
C. 3
a
^2
b^11 /2
Step-by-step explanation:
Answer:

Step-by-step explanation:
we are given
y varies directly as x
so, we can write equation as

where
k is constant of proportionality
We have
at x=-1 , y=6
so, we can use it to find k

so, we get

now, we can plug it back

now, we can plug x=5
and we get


3,6,12...
this is a geometric sequence with a common ratio of 2. That means u multiply each term by 2 to find the next term.
start with 3
3 * 2 = 6
6 * 2 = 12
12 * 2 = 24...this would be ur next term
so ur answer is : multiply by 2