Answer:
y = 120
x = 10.6
Step-by-step explanation:
Given polygons are parallelograms.
In parallelograms, consecutive angles are supplementary which means their sum is equal to 180.
Since two parallelograms are similar:
60 + y = 180 subtract 60 from both sides
y = 120
To find the value of x:
side lengths are proportional because these are similar polygons
cross multiply fractions
18x + 72 = 264 subtract 72 from both sides
18x = 192 divide both sides by 18
x = 10.6 approximately
9514 1404 393
Answer:
8x +36 = 15
Step-by-step explanation:
The fractions can be made to disappear by multiplying the equation by their least common denominator. That number is 18.
18(4/9x +2) = 18(5/6)
8x +36 = 15
__
The solution is x = -21/8.
Answer:
10. X=3
11. FG=15
12. QS=34
Hope this helps
Step-by-step explanation:
10. 8x+11=12x-1
8x-12x=-1-11
-4x=-12
x=3
11. 11x-7=3x+9
11x-7=-9+7
8x=16
x=2
Substitute the (x)
11(2)-7 =15
12. 5x-3=21-x
5x+x=21+3
6x=24
x=4
Substitute the (x)a
5(4)-3=17
21-(4)=17
17+17=34
1. X+18
2. Y-5
3. x+7=y
4. Y-10
5. 7-x
16. r-s
17. R+25
18. z-12
19. m+9
20. Y-11
Answer:
FD = 25.94
Step-by-step explanation:
13x - 16 = 4x + 11 (Tangents drawn from an external point are equal)
13x - 4x = 11 + 16
9x = 27
x = 3
substituting x in 4x + 11,
4(3) + 11
12 + 11
23
ΔFED is a right triangle,
FD² = FE² + DE²
FD² = 12² + 23²
FD² = 144 + 529
FD² = 673
FD = 25.94
