Here we have one large triangle with two smaller triangles drawn inside. The two smaller triangles are similar.
Thus, a/12 = 12/16, or a/12 = 3/4, or 4a=36, or a = 9.
Find b in the same way: b/20 = 9/12 (and so on).
7 x 4 = 28; 28 divided by 2 = 14cm squared
Answer:
m∠DAB = 101°
x = 7
y = 12
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides of a parallelogram are equal and parallel.
2). Opposite interior angles are equal in measure.
3). Consecutive interior angles are supplementary.
By the first property,
BC ≅ AD
2x + 4 = 3x - 3
3x - 2x = 4 + 3
x = 7
AB ≅ CD
2y + 10 = 3y - 2
3y - 2y = 10 + 2
y = 12
By second property,
m∠ABC = m∠ADC
2z + 15 = 3z - 17
3z - 2z = 15 + 17
z = 32
Therefore, m∠ADC = (3z - 17)°
= 3(32) - 17
= 96 - 17
= 79°
By third property,
m∠ADC + m∠DAB = 180°
79° + m∠DAB = 180°
m∠DAB = 180° - 79°
m∠DAB = 101°
Answer: 2:7 times
Step-by-step explanation: hope it helps u
So you divide $27.09 by 7 to get red grapes price which is $3.87. Dividing $14.96 by 4, you get $3.74. So red grapes are most expensive.
