Informally, the domain is the set of all possible elements in a set for which there is one and only one output. In interval notation, the domain is (-4, ∞). I am assuming it continues on infinitely to the right because of the arrow. The range is [1, <span>∞). Here, you choose the lowest value on the graph, up to the highest one.</span>
Answer:
The remaining interior angles of this triangle are 140º and 10º
Step-by-step explanation:
The sum of the interior angles of a triangle is always 180º.
A triangle has 3 angles. In this problem, we have one of them, that i am going to call A1 = 30º.
The sum of a interior angle with it's respective exterior angle is also always 180º.
We have that one of the exterior angles is equal to 40°. So it's respective interior angle is
40º + A2 = 180º
A2 = 180º - 40º
A2 = 140º
Now we have two interior angles, and we know that the sum of the 3 interior angles is 180º. So:
A1 + A2 + A3 = 180º
A3 = 180º - A1 - A2
A3 = 180º - 30º - 140º
A3 = 180º - 170º
A3 = 10º
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
Given
Isosceles Triangle Theorem
Angle Addition
Given
Definition of Bisector
Substitution
Angle Addition
Given
Definition of Bisector
Substitution
Substitution
Division Property of Equality
Reflexive Property
Angle-Side-Angle Congruence*
CPCTC
*For clarification:
∠Y = ∠Z
YZ = YZ (or ZY)
∠PZY = ∠QYZ
So, Angle-Side-Angle Congruence:
ΔYZP is congruent to ΔZYQ
Answer:
See below.
Step-by-step explanation:
15.) -3.25
16.) -4.5
17.) 1.25
18.) -5.75
19.) 0.5
20.) -2.5