Answer:
-4
Step-by-step explanation:
The slope is usually a function of the differences in y divided by the differences in x, and it can be described in the following equation,
(1)
We can select any of the two points to be our first point, let's say, J(1,-4) is point 1, so J (x1,y1). In other words,
and by the same way, for K(-2,8). Therefore,
. By substituting these values in equation 1, we can deduce the following
Answer:
Range=2
Step-by-step explanation:
Range=Highest number-Lowest number
=5-3=2
Hope it Help
Mark Me Brillainest
Answer:
x - 7
Step-by-step explanation:
7 - 1= 6
1 - 7= -6
-1 + 7= 6
7 + (-1) =6
Answer:
2*26=52
Step-by-step explanation: you can just use a calculator to find 2*26 and you will find that the answer to your question is 52.
(1) ∠ABC = 65°, ∠DBE = 65°, ∠CBE = 115°, ∠ABD = 115°
(2) ∠ABC = 62°, ∠DBE = 62°, ∠CBE = 118°, ∠ABD = 118°
Solution:
(1) In the given image ABC and DBE are vertical angles.
<u>Vertical angle theorem:</u>
If two angles are vertical then they are congruent.
⇒ ∠ABC = ∠DBE
⇒ 3x° + 38° = 5x° + 20°
Arrange like terms one side.
⇒ 38° – 20° = 5x° – 3x°
⇒ 18° = 2x°
⇒ x° = 9°
∠ABC = 3(9°) + 38° = 65°
∠DBE = 5(9°) + 20° = 65°
Adjacent angles in a straight line = 180°
⇒ ∠ABC + ∠CBE = 180°
⇒ 65° + ∠CBE = 180°
⇒ ∠CBE = 115°
∠ABD and ∠CBE are vertical angles.
∠ABD = 115°
(2) In the given image ABC and DBE are vertical angles.
⇒ ∠ABC = ∠DBE
⇒ 4x° + 2° = 5x° – 13°
Arrange like terms one side.
⇒ 13° + 2° = 5x° – 4x°
⇒ 15° = x°
∠ABC = (4(15°) + 2°) = 62°
∠DBE = 5(15°) – 13° = 62°
Adjacent angles in a straight line = 180°
⇒ ∠ABC + ∠CBE = 180°
⇒ 62° + ∠CBE = 180°
⇒ ∠CBE = 118°
∠ABD and ∠CBE are vertical angles.
∠ABD = 118°