Answer:
9. 40°
10. 50°
11. 270°
12. 310°
Step-by-step explanation:
m∠BPC = 40° because it is complementary to ∠APB, which is 50°.
Arc AB is 50° because it will be equal to the central angle, which is 50°.
Arc ADC is 270° because it will be equal to the central angle, which is 270°.
Arc ADB is 310° because it will be equal to the central angle, also 310°.
Triangle Inequality Theorem is used to find the inequality for a triangle when it only gives you two sides
<em><u>Solution:</u></em>
We can find the inequality for a triangle when it only gives you two sides by Triangle Inequality Theorem
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
This rule must be satisfied for all 3 conditions of the sides.
Consider a triangle ABC,
Let, AB, BC, AC be the length of sides of triangle, then we can say,
Acoording to Triangle Inequality Theorem,
sum of any 2 sides > third side
BC + AB > AC
AC + BC > AB
AB + AC > BC
For example,
When two sides, AB = 7 cm and BC = 6 cm is given
we have to find the third side AC = ?
Then by theorem,
Let AC be the third side
AB + BC > AC
7 + 6 > AC
Thus the inequality is found when only two sides are given
Answers are B, C, and D
If Q = 33, then the two slopes are both 33. As long as the y intercepts are different, then the two lines will be parallel leading to no intersections. No intersections means no solutions.
Note: Choice A leads to infinitely many solutions as we'll have identical copies of the same expression on each side (33x+25 = 33x+25). This is why we can rule choice A out.
He’s 41 now
just add 5 to his age
Answer:
a = 3, b = 1, c = - 3
Step-by-step explanation:
Substitute n = 1, 2, 3 into the n th term
a + b + c = 1 → (1)
4a + 2b + c = 11 → (2)
9a + 3b + c = 27 → (3)
Subtract (1) from (2) term by term to eliminate c
Subtract (2) from (3) term by term to eliminate c
3a + b = 10 → (4)
5a + b = 16 → (5)
Subtract (4) from (5) term by term to eliminate b
2a = 6 ( divide both sides by 2 )
a = 3
Substitute a = 3 into (4) and evaluate for b
3(3) + b = 10
9 + b = 10 ( subtract 9 from both sides )
b = 1
Substitute a = 3, b = 1 into (1) and evaluate for c
3 + 1 + c = 1
4 + c = 1 ( subtract 4 from both sides )
c = - 3
Then a = 3, b = 1 and c = - 3