<u>Answer:</u>
<em>x </em>= 13°
<u>Step-by-step explanation:</u>
angle p + 98° = 180° [angles on a straight line add up to 180°]
p = 180° - 98°
p = 82°
angle q = 85° [alternate angles with the 85° angle]
Inside the yellow triangle:
p + q + x = 180° [angles inside a triangle add up to 180°]
82° + 85° + x = 180°
x = 180° - 82° - 85°
∴ x = 13°
Answer:
x = 3
y = 2
Step-by-step explanation:
<u>GIVEN :-</u>
- PQ = 2y + 3
- QR = 4y + 1
- RS = y + 5
- PS = 4x - 3
<u>TO FIND :-</u>
- The values of x & y for which PQRS will be a parallelogram
<u>FACTS TO KNOW BEFORE SOLVING :-</u>
In a parallelogram , pair of opposite sides are always equal in length.
<u>SOLUTION :-</u>
PQRS will be a parallelogram only when :-
1) Assume that PQ = RS.
∴ For y = 2 , PQ = RS.
2) Now, assume that PS = QR.
(Put y = 2 in the equation)
∴ For x = 3 , PS = QR.
<u>CONCLUSION :-</u>
For x = 3 & y = 2 , PQRS is a parallelogram.
Answer:
x = 10
y = 42
Step-by-step explanation:
The sum of a number and two times a smaller number is 62
2x+y=62
so y=62−2x
Three times the bigger number exceeds the smaller number by 116
x+116=3y
substitute for y:
x+116=3(62−2x)
x+6x=186−116
7x=70
x=10
3y=10+116=126
#y = 126/3 = 42
B)Huh estuve she she eub navegue.
-2 < 4x - 10 < 6
+10. +10. +10
8 < 4x < 16
÷4. ÷4. ÷4
2 < x < 4