Move negative 4 to the right till you get to positive 3. Then Move negative 3 to the left 4 times
" the quotient " means divide
(x/3) - 4 <== ur expression
Answer:
x= - 50/9
Step-by-step explanation:
multipy both equations by 12
9x+60=10
then move the constant to the right hand side and change it's sign
9x= 10 - 60
calculate difference
9x = -50
divide both sides by 9
x= - 50/9
Answer:
2) Vertical translation of 10 units
Step-by-step explanation:
Given
H and H'
Required
Which maps H to H'
First, we pick the coordinate of any point on H
First, we pick a corresponding coordinate on H'
The above coordinates show that H and H' are not a reflection of one another because neither of the x or y coordinates negate one another.
By looking at the coordinates of H and H, we have:
H: 
and H': --- The same x coordinates
H: 
and H': 
--- Different y coordinates
The difference between the y coordinates is:
Hence,
<em>2) Vertical translation of 10 units
</em> is correct.
Answer:
Part 1) Option D. must be an acute angle
Part 2) m∠A=70°
Step-by-step explanation:
Part 1) In triangle ABC, if an exterior angle drawn at vertex C measures 45, then angle B...
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles
so
The measure of an exterior angle at C is equal to the sum of the interior angles at A and B
we have that
45°=m∠A+m∠B
therefore
m∠B < 90°
Angle B must be an acute angle
Part 2)
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles
so
The measure of an exterior angle at B is equal to the sum of the interior angles at A and C
m∠A+m∠C=2m∠C+5
m∠C=m∠A-5 ----> equation A
m∠C=65° ----> equation B
substitute equation B in equation A
65°=m∠A-5
m∠A=(65+5)°=70°
