Answer:
Step-by-step explanation:
Take the coordinates of two points you want to find the distance between. Call one point Point 1 (x1,y1) and make the other Point 2 (x2,y2). ...
Know the distance formula. ...
Find the horizontal and vertical distance between the points. ...
Square both values. ...
Add the squared values together. ...
Take the square root of the equation.
Answer:
14, 22
Step-by-step explanation:
x+y = 36
2×x - y = 6
=> x = 36 - y
=> 2×(36 - y) - y = 6
72 - 2y - y = 6
-3y = -66
3y = 66
y = 22
=> x = 36 - 22 = 14
Answer:
58.33%
Step-by-step explanation:
is %
-------- = ---------
of 100
Just plug in the numbers based on what it tells you.
What % = goes in the % spot
of 60 = goes in the of spot
is 35 = goes in the is spot
35 x
--------- = ---------
60 100
Cross multiply:
60 * x = 60x 35 * 100 = 3500
60x = 3500
Divide by 60 to get x by itself.
3500 / 60 = 58.33
Put the percent sign after it:
58.33%
I hope this helps.
The measure of ∠BAF is 54°.
Solution:
DF and CE are intersecting lines.
m∠EAF = 72° and AB bisects ∠CAF.
∠EAF and ∠DAC are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>
∠DAC ≅ ∠EAF
m∠DAC = 72°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠DAE + m∠EAF = 180°
m∠DAE + 72° = 180°
Subtract 72° from both sides.
m∠DAE = 108°
∠CAF and ∠DAE are vertically opposite angles.
⇒ m∠CAF = m∠DAE
⇒ m∠CAF = 108°
AB bisects ∠CAF means ∠CAB = ∠BAF
m∠CAB + m∠BAF = 108°
m∠BAF + m∠BAF = 108°
2 m∠BAF = 108°
Divide by 2 on both sides, we get
m∠BAF = 54°
Hence the measure of ∠BAF is 54°.
