Applying the Pythagorean Theorem and the definition of Perpendicular Bisector, the missing measures are:
<h3>What is a Perpendicular Bisector of a Segment?</h3>
- A perpendicular bisector is a segment is a segment that divides a segment into two equal halves.
- Perpendicular bisector forms right angles at the point of intersection of the segment it bisects.
Thus:
VT = RV = 8
VT = 8
Applying Pythagorean Theorem:
VS = √(ST² - VT²)
Substitute
VS = √(17² - 8²)
VS = 15
Find RS using the Pythagorean Theorem:
RS = √(VS² + VR²)
Substitute
RS = √(15² + 8²)
RS = 17
Therefore, applying the Pythagorean Theorem and the definition of Perpendicular Bisector, the missing measures are:
VT = 8
RS = 17
Learn more about perpendicular bisector here:
brainly.com/question/11006922
angles across each other at a junction, namely vertical angles, are equal.
so the angles right in the middle, where both triangles intersect, are both equal, that means the triangles have that angle in common as well as the angle x°, meaning both triangles are similar by AA.
if both triangles are similar, that means all their interior angles are the same, meaning y = 75°.
now, let's notice something, those tickmarks, meaning each triangle is an isosceles triangle, which have a vertex angle and twin angles.
since all interior angles in a triangle add up to 180°, so 180 - 75 = 105°, subtracting "y" from the 180°, that leaves 105°, to be split evenly between the twin angles of "x" and the one at the junction.
105/2 = 52.5° = x.
Answer:
5/3
Step-by-step explanation:
We need to rewrite the equation in slope intercept form
y =mx +b where m is the slope
-3x-5y = 7
Add 3x to each side
-5y = 3x+7
Divide by -5
y = -3/5 x -7/5
The slope of this line is -3/5
Perpendicular lines have slopes that are negative reciprocals
-1 / (-3/5)
5/3
The slope of the perpendicular line is 5/3
2/1 THATS 2 (caps my bad) and 20/10 that’s also 2 the proportion is y=2x
Answer:
Each scholar have to sell 4 boxes in order to raise enough money to cover the team's travel expenses
Step-by-step explanation:
Let x denotes number of boxes to be sold by each scholar to raise enough money to cover the team's travel expenses.
Number of scholars = 7
Total number of boxes 
Total number of chocolate bars 
Price of 1 chocolate bar = $2
Price of 
chocolate bars 
Also,
Total amount to be raised for travel expenses = $1680
So,
Therefore,
each scholar have to sell 4 boxes in order to raise enough money to cover the team's travel expenses
