Hello!
We are told that n and m are parallel.
The angle that measures 105 degrees is supplementary with the alternate interior angle of the angle which measures (3x - 18) degrees. Supplementary angles add to equal 180 degrees, so we can make an equation by first finding the measure of the alternate interior angle.
180 - 105 = 75
The alternate interior angle measures 75 degrees, so we can set that equal to 3x - 18 to solve for x since alternate interior angles are congruent.
75 = 3x - 18
93 = 3x
31 = x
Answer:
x = 31
Front yard
65+65+45+45=220
Back yard
45+45+35+35=160
220+160=380
380 feet
1. 27 - 3 (because 3 are left over) = 24. Then, 24 ÷ 6 = 4 children.
2. If Mina has £7.20, that means she has 720 pence. If half is given to her brother, then she has £3.60 left. (720 ÷ 2 = 360 pence, which is £3.60)
3. 17 × 10 = 170
2 × 20 = 40
170 + 40 = 210, which is £2.10
Answer:
Second triangle pair
Step-by-step explanation:
In a reflection, the shape is flipped. In the first pair, the corresponding sides as shown by the lines, and the corresponding angle are already in the same position. In the second pair, Δ MLN can be reflected so that line LN match with EG and line LM matches with line EF. ∠L and ∠E will also be mapped to each other when one triangle is reflected.
8n - 7
because from 8n, 7 is subtracted