Answer:
x = 20
Step-by-step explanation:
angle m<3 + angle m<5 = 180° because these angles are supplementary
5x + 10 + 3x + 10 = 180° add like terms
8x + 20 = 180
8x = 160 divide both sides by 8
x = 20
Answer:
Step-by-step explanation:
It is given that the quadrilateral ABCD has AB ≅ CD and BC ≅ DA is a parallelogram, then in order to prove opposite angles of the parallelogram are equal, we take ΔABC and ΔADC,
AC=AC(Common)
AB=CD(given)
BC=AD(given)
Thus, by SSS rule, ΔABC ≅ ΔADC
By CPCT, ∠B=∠C
Also, from ΔABD and ΔBCD, we have
AB=CD(given)
BC=AD(given)
BD=BD(common)
Thus, by SSS rule, ΔABD ≅ ΔBCD
By CPCT, ∠A=∠C
Since, opposite angles are equal,therefore ABCD is a parallelogram.
Draw in diagonals AC and BD. The given information and the shared side AC along with the Reflexive Property can be used to prove ΔABC ≅ ΔADC by the SSS Congruence Postulate. Using CPCTC, ∠B=∠C.The same can be done for ΔABD ≅ ΔBCD using the given information and the shared side BD. This will lead to ∠A=∠C. Therefore, ABCD is a parallelogram because opposite angles are congruent.
Answer:
Step-by-step explanation:
For this question they are asking you to find y when x is {2, 4, and 6}
That means you need to plug 2,4, and 6 into the equation and solve.
For example:
f(x) = 5x - 4
f(2) = 5(2) - 4
f(2) = 10 - 4
f(2) = 6
f(x) = 5x - 4
f(4) = 5(4) -4
f(4) = 20 - 4
f(4) = 16
f(x) = 5x - 4
f(6) = 5(6) - 4
f(6) = 30 - 4
f(6) = 26
Step-by-step explanation:
Let the present age of father = x years
and the present age of son = y years
according to the first condition
x + y =44 ........(i)
according to the second condition
x+8 = 2(y+8)
or x+ 8 = 2y + 16
or x- 2y = 8 ............(ii)
solve the equation (i) & (ii) we get
x + y =44
x- 2y = 8
••••••••••••••••••••••••
3y = 36
or y = 12
put the value of y in equation (i), we get
x + 12 =44
or x = 32
so the present age of father = x =32 years
and the present age of son = y = 12 years.
