Keep in mind that the positive directions of the two axis are: upwards for the y axis and rightwards for the x axis.
So, translating a point 6 units up means to go 6 units along the positive direction on the y axis. For this reason, the new y coordinate will be 6 units more than the old one.
Similarly, going 3 units left means to decrease by 3 the x coordinate, because we're following the negative direction.
So, to recap, this transformation maps 
This means that the two points become
The measure of ∠PQR will be 123° .
Interior Angles of an Angle:
An interior of an angle is a line that separates an angle into two angles. If BD is the interior of an angle ABC then the measure of the angle ABC is the sum of both the angles.
∠ABC = ∠ABD +∠DBC
We can divide an angle into many interior parts or angles.
If we have an angle and there are many interiors that divides the angle into many parts than the sum of all the interior angles is equal to the measure of the original angle.
If we have D and E are the two interiors of ∠ABC then ,
∠ABC =∠ABD + ∠DBE + ∠EBC
Given that point T is in the interior of ∠PQR and ∠PQR =10x-7
∠RQT = 5x°
∠PQT=(4x+6) .
Since T is the interior of ∠PQR ,
∠PQR = ∠PQT + ∠RQT
10x-7 = 4x + 6 + 5x
10x-7 = 9x + 6
x = 13°
So from the equation(1)-
∠PQR = 10(13) - 7
∠PQR = 123°
So ∠PQR = 123° .
To learn more on interior angles go here :
brainly.com/question/24966296
#SPJ9
Answer:
I’m sorry i’m just trying to get more answers:( i hope u find yours though! xoxo
Step-by-step explanation:
Answer:
120 ft
Step-by-step explanation:
A slope of 12/100 means for every 12 units of distance you move horizontally you descend by 100 of the same units vertically. Assuming now that the slope does not change, i.e it remains constant throughout your trip; descending by 1000 ft should mean you have moved horizontally by 120 ft so that the slope is maintained.
x/1000 = 12/100
x = 120 ft
