Hello,
let's assume j the john's age, m the mary's age.
<span>"John is twice as old as mary"==>j=2*m
</span>
<span>"the sum of their ages is 21" ==>j+m=21
==>2*m+m=21
==>3m=21
==>m=7
and j=21-7=14
</span>
It is 18because you have to count the blocks
sorry if my handwriting is bad:
Answer:
x = 110
Step-by-step explanation:
measure of abd is 35, meaning adb is also 35.
so dab + abd + adb is 180
=> x + 35 + 35 = 180
=> x + 70 = 180
=> x = 180-70
=> x = 110
110 degrees is the value of x.
Answer:
Step-by-step explanation:
1) ΔCPD & ΔEPF
∠CPD = ∠EPF { Vertically opposite angles}
∠CDP = ∠PFE {CD║EF, FD is transversal, Alternate interior angles are equal}
ΔCPD ≈ΔEPF {AA criteria for similarity }

Cross multiply
EF * 15 = 27 * 7.5

EF = 27 * 0.5
EF = 13.5 cm
ii) EF // AB, so Triangles ACB & ECF are similar triangles


AC = 37.5 cm