Answer:
m∠S=30°
m∠T=60°
m∠P=90°
Step-by-step explanation:
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
so
In the triangle STP
m∠S+m∠T+m∠P=180° ----> equation A
m∠T=2(m∠S) ----> equation B
m∠P=3(m∠S) ----> equation C
Solve the system of equations by substitution
Substitute equation B and equation C in equation A
m∠S+2(m∠S)+3(m∠S)=180°
Solve for m∠S
6m∠S=180°
m∠S=30°
<em>Find m∠T</em>
m∠T=2(m∠S)
m∠T=2(30°)=60°
<em>Find m∠P</em>
m∠P=3(m∠S)
m∠P=3(30°)=90°
Answer:176
Step-by-step explanation:
Answer/respuesta:x=6
Step-by-step explanation paso-por-paso explication: Move the constant to the right-hand side and change its sign Subtract the numbers Divide both sides of the equation /Mover la constante al lado derecho y cambiar su signo Restar los números Dividir ambos lados de la ecuación por
Answer:
The coordinates of the Pizza Hut is (6,-11)
Step-by-step explanation:
Gym is equidistant and collinear from Target and Pizza Hut.
T (-17, 17) : ![(x_1,y_1)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29)
G (-5.5, 3) : (x,y)
P : ![(x_2,y_2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29)
Mid point formula ; (x,y) is on mid point on line formed by joining points
and ![(x_2,y_2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29)
m = 1, n = 1
![x=\frac{x_1+x_2}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D)
![-5.5=\frac{-17+x_2}{2}](https://tex.z-dn.net/?f=-5.5%3D%5Cfrac%7B-17%2Bx_2%7D%7B2%7D)
![-11=-17+x_2](https://tex.z-dn.net/?f=-11%3D-17%2Bx_2)
![x_2=17-11 = 6](https://tex.z-dn.net/?f=x_2%3D17-11%20%3D%206)
![y=\frac{y_1+y_2}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7By_1%2By_2%7D%7B2%7D)
![3=\frac{17+y_2}{2}](https://tex.z-dn.net/?f=3%3D%5Cfrac%7B17%2By_2%7D%7B2%7D)
![6=17+y_2](https://tex.z-dn.net/?f=6%3D17%2By_2)
![y_2=-17+6 = -11](https://tex.z-dn.net/?f=y_2%3D-17%2B6%20%3D%20-11)
The coordinates of the Pizza Hut is (6,-11)
Answer:
Step-by-step explanation:
The hundreds place