Answer:
Slope is 1/2
Step-by-step explanation:
Answer:
AB = 105
Step-by-step explanation:
Since ∠ A and ∠ B are equal then Δ ABC is isosceles with 2 congruent legs.
AC = BC , substitute values
6x - 7 = 5x + 7 ( subtract 5x from both sides )
x - 7 = 7 ( add 7 to both sides )
x = 14
Then
AB = 7x + 7 = 7(14) + 7 = 98 + 7 = 105
Solution in attachment :
_________________________
1. since the equations equal each other
2x+19=x+7
-x -x
x+19=7
-19 -19
x= -12
sub into y= x+7
y= -12+7
y= -5
2. x+2y=-7
<span>x+y+23=0
i don't know what the second equation is equal to, i'll assume 0
2y=x-7
y=1/2x-7/2
sub this into x+y+23=0
x+1/2x-7/2+23=0
3/2x+39/2=0
-39/2 -39/2
3/2x= -39/2
x=-39/2 / 3/2
x= -13
sub into y=1/2x-7/2
y=1/2(-13)-7/2
y= -10
3. </span>x+5y=2
<span>x=-4y+5
</span>sub x=-4y+5 into x+5y=2
-4y+5+5y=2
y+5=2
-5 -5
y= -3
sub y =-3 into x =-4y+5
x=-4(-3)+5
x= 17
4. 3x+y=9
<span>y=-5x+9
</span>sub -5x+9 into 3x+y=9
3x+(-5x+9)=9
3x-5x+9=9
-2x+9=9
-9 -9
-2x=0
x=0
sub into y=-5x+9
y=-5(0)+9
y=9
Answer:
Arc length MK = 15.45 units (nearest hundredth)
Arc measure = 58.24°
Step-by-step explanation:
Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)
ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:
where:
is the angle- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
- = ∠KLM
- A = LN = 8
- H = KL = 15.2
Therefore, the measure of arc MK = 58.24° (nearest hundredth)
Given:
- r = 15.2
- ∠KLM = 58.24313614°
