Given Information:
Point 1 = (8, −3)
Point 2 = (4, −7)
Required Information:
Distance between points = d = ?
Answer:
Distance between points = d = √32 = 5.657
Step-by-step explanation:
We are given two points,
(x₁, y₁) = (8, −3)
(x₂, y₂) = (4, −7)
We are asked to find the distance between these two points.
The distance is given by

Substitute the given coordinates into above equation

Therefore, the distance between (8, −3) and (4, −7) is 5.657 units.
Smallest angle is
°
<u>Step-by-step explanation:</u>
Here we have , Quadrilateral WXYZ has interior angles that meet the following criteria:
Angles W and X are congruent.
According to question , angles are congruent i.e. Both angle measure same
⇒ 
Now ,
• The smallest angle's measure is 100° less than twice the measure of W.
According to above statement we have ,
Smallest angle = 
• The largest angle's measure is 10º more than twice the measure of X. ( correction , in question given as 2X )
According to above statement we have ,
Largest angle = 
Now , We know that sum of all 4 angles in 360 i.e.
⇒
{ X=W }
⇒ 
⇒ 
⇒ 
Smallest angle is :
Therefore , Smallest angle is
° .
Answer:
x = 5
Explanation:
Well, there's a theorem about these triangles that helps you solve questions similar to this one.
The theorem states that the sum of the two angles of a triangle is equal to the magnitude of the angle exterior to them.
That is, 33° + (10x+1)° = (17x-1)°
17x - 10x = 33 + 1 + 1
7x = 35 => x = 5
Hope it helps you, mate! :)
Answer: A 8040 is exactly divisible by 67 the quotient is 120
Answer:
126°
Step-by-step explanation:
The sum of angles in a triangle is 180°. Corresponding angles C and H of the similar triangles have the same measure, so you have ...
... ∠G + ∠H + ∠D = 180°
... ∠G + 31° +23° = 180° . . . . . . . subtract the numbers on the left to find ∠G
... 180° -54° = ∠G = 126°