P - q = 8.....multiply by -1
2p - q = 19
----------------
-p + q = -8 (result of multiplying by -1)
2p - q = 19
---------------add
p = 11
now we sub 11 in for p in either of the original equations to find q
p - q = 8
11 - q = 8
11 - 8 = q
3 = q
so ur solution is (11,3)
Answer:
if s = -3, then <em>-3s + 2(-5s + 1) =</em><em> </em>43
Step-by-step explanation:
-3s + 2(-5s + 1)
(distribute the 2)
-3s + -10s + 2
(substitute (s) for -3)
-3(-3) + -10(-3) + 2
(multiply)
9 + 30 + 2
(add)
41
Answer:
s=91/8
Step-by-step explanation:
- 4(2s-1)=75+12
- 8s-4=87
- 8s=91
- s=91/8
9514 1404 393
Answer:
- ∠PTQ = 45°
- ∠QTR = 15°
- ∠PTS = 120°
Step-by-step explanation:
Parallelogram PTSR is divided into two equilateral triangles by diagonal RT. All of the acute angles in that quadrilateral are 60°, and the obtuse angles are 120° (2×60° and also the supplement of 60°).
Triangle PTQ is an isosceles right triangle, so its acute angles are 45°.
∠PTQ = 45°
∠QTR = ∠PTR -∠PTQ = 60° -45°
∠QTR = 15°
∠PTS = 120° . . . . . . obtuse angle in PTSR; sum of ∠PTR and ∠RTS
Answer:

Step-by-step explanation:
we know that
You can name a specific angle by using the vertex point, and a point on each of the angle's rays. The name of the angle is simply the three letters representing those points, with the vertex point listed in the middle
In this problem
The vertex point is S and the points on each of the angle's rays are C and T
so

therefore
