Answer:
30.6 cm²
Step-by-step explanation:
The area of the parallelogram is simply the sum of the areas of the component three shapes - the square and the two triangles.
Area of square = 4.5 cm × 4.5 cm = 20.25 cm²
Area of two triangles = 2 ×(1/2) × 2.3 cm × 4.5 cm = 10.35 cm²
Area of parallelogram = 20.25 cm² + 10.35 cm² = 30.6 cm²
Answer:
2
Step-by-step explanation:
-13 x 2 = -26
-4 x 2 = -8
14 x 2 = 28
-26 + -8 + 28 +-9 = -15
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Given:
Angle A is 4 degrees greater than the measure of Angle B. Both angles are complementary
Complementary angles have a sum of 90°
Angle A = x + 4° ; Angle B = x
x + 4° + x = 90°
2x = 90° - 4°
2x = 86°
x = 86° ÷ 2
x = 43° ANGLE B.
Angle A = x + 4° ⇒ 43° + 4 = 47°
Given:
Angle D is 5 times the measure of Angle E. These angles are supplementary. This means that their sum is 180°
Angle D = 5x ; Angle E = x
5x + x = 180°
6x = 180°
x = 180° ÷ 6
x = 30° Angle E.
Angle D = 5x = 5(30) = 150°
Answer: A B
Group A 0.25 0.75
Group B 0.45 0.55
Step-by-step explanation:
Since we have given that
Number of people of A in Group A = 15
Number of people of B in Group A = 45
Number of people of A in Group B = 20
Number of people of B in Group B = 25
Total number of people in Group A = 15+45 = 60
Total number of people in Group B = 20+25 = 45
So, Relative frequencies will be given below:
Relative frequency of A in Group A is given by

Relative frequency of B in Group A is given by

Relative frequency of A in Group B is given by

Relative frequency of B in Group B is given by

Hence, A B
Group A 0.25 0.75
Group B 0.45 0.55