Answer:
k = 45
The angles are 45 , 45, 90
Step-by-step explanation:
The sum of the angles of a triangle are 180
45+ k+2k = 180
Combine like terms
45+3k = 180
Subtract 45 from each side
45+3k-45 = 180-45
3k = 135
Divide by 3
3k/3 = 135/3
k =45
The angles are 45, k,2k
The angles are 45 , 45, 90
For Q1, we can start out by turning it into a plain fraction. 16*2=32, and 32+1=33, so 16+1/2=33/2. Similarly, for 2 3/4, 2*4=8 and 8+3=11, so 2 3/4=11/4 as the size of each piece of wood. To divide them, we have the numbers 33/2 and 11/4. We first find the reciprocal of the size of a piece (switch the numerator and denominator) and then multiply the 2 fractions - 33/2*4/11=132/22=6 pieces. Using that, I challenge you to do Q2 on your own!
The opposite angle to 127 would have the same angle.
So,
127+29= 156
Subtract that from 180, (since all angles add up to 180)
180-156= 24
x= 24
I hope this helps!
~cupcake
Answer:
AB = 8
AD = 10
<A = 118
<D = 62
Step-by-step explanation:
1. AB
Because opposite sides in a parallelogram are equal, DC = AB = 8.
2. AD
Because opposite sides in a parallelogram are equal, BC = AD = 10.
3. <A
Adjacent angles are supplementary in a parallelogram, so A = 180 - 62 = 118
4. <D
Opposite angles are equal in a parallelogram, so B = D = 62