Answer:
17 miles
Step-by-step explanation:
4+5+5+3=17
Answer:
-128x + 48 = -15
Step-by-step explanation:
I don't any choices to pick from but using the distributive property you will multiply the -4 by everything in the parenthesis.
-4(32x - 12) = -15
=-128x + 48 = -15.
Answer:
The solution is (2, -2)
Step-by-step explanation:
In order to solve this, multiply the second equation by -5 and then add through.
5x - 4y = 18
-5x - 15y = 20
------------------
-19y = 38
y = -2
Now that we have the value of y, we can solve for x.
x + 3y = -4
x + 3(-2) = -4
x - 6 = -4
x = 2
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°.
Answer:
The coordinates of point C are (8,8.5)
Step-by-step explanation:
The picture of the question in the attached figure
Let
----> coordinates of point C
we have that
The horizontal distance AB is equal to
The vertical distance AB is equal to
Find the horizontal coordinate of point C
we know that
so
----> equation A
----> equation B
substitute equation A in equation B
so
The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C
Find the vertical coordinate of point C
we know that
so
----> equation A
----> equation B
substitute equation A in equation B
so
The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C
therefore
The coordinates of point C are (8,8.5)
