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: 28
Step-by-step explanation: In this problem, we're given information about the parts of a segment and we're asked to find the value of x.
To find the value of x, we can use the <em>segment addition postulate</em>.
Looking at the diagram, it should make since that RS + ST = RT.
So 4x + 3x + 11 = 60 or 7x + 11 = 60.
Subtracting 11 from both sides and solving for x, we get x = 7.
Since RS is 4x, we can substitute a 7 in for x to get 4(7) or 28.
Answer:
here is the answer
Step-by-step explanation:
Answer:

Step-by-step explanation:
The difference of two cubes formula is given as:

Answer:
x=-5/2
Step-by-step explanation:
4 x^2 +20 x +25 = 0
x^2+5x=-25/4
(b/2)^2=(5/2)^2
x^2+5x+25/4=0
(x+5/2)^2=0
x=-5/2
(Hope this helps)