Simplifying
b2 + 12b + 35 = 0
Reorder the terms:
35 + 12b + b2 = 0
Solving
35 + 12b + b2 = 0
Solving for variable 'b'.
Factor a trinomial.
(7 + b)(5 + b) = 0
Subproblem 1
Set the factor '(7 + b)' equal to zero and attempt to solve:
Simplifying
7 + b = 0
Solving
7 + b = 0
Move all terms containing b to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + b = 0 + -7
Combine like terms: 7 + -7 = 0
0 + b = 0 + -7
b = 0 + -7
Combine like terms: 0 + -7 = -7
b = -7
Setting up the proportion ,you get that x=92.
Answer:
They are SIMILAR triangles
Step-by-step explanation:
Given triangles MNL and FHG with two of their angles to be 51° and 36° respectively. Their third angle is expressed as:
180°-(51°+36°)
= 180°-87°
= 93°
Their third angle is 93°
Since both triangles have the same angles in them, both triangles are considered as similar triangle even though the value of their sides are different due to angle differences in both.
Note that individual triangles are scalene triangles since their angles are not the same but the both triangles are similar triangles based on their relationship.
Answer:
x ≈ 7.2
Step-by-step explanation:
Given a tangent- secant from an external point to the circle, then
the the square of the measure of the tangent is equal to the product of the external part of the secant and the entire secant, that is
x² = 4(4 + 9) = 4 × 13 = 52 ( take the square root of both sides )
x = 
≈ 7.2 ( to the nearest tenth )
1) you have to add all the rings together to find the denominator
6 + 11 + 15 + +3 = 35
2) the numerator is the amount of rings of the certain color you are trying to find the probability of
15
3) find the theoretical probability! 15/35
4) simplify
15/35 (divide both by 5) = 3/7
hope it helped :)
