1. Check the drawing of the rhombus ABCD in the picture attached.
2. m(CDA)=60°, and AC and BD be the diagonals and let their intersection point be O.
3. The diagonals:
i) bisect the angles so m(ODC)=60°/2=30°
ii) are perpendicular to each other, so m(DOC)=90°
4. In a right triangle, the length of the side opposite to the 30° angle is half of the hypothenuse, so OC=3 in.
5. By the pythagorean theorem,

6. The 4 triangles formed by the diagonal are congruent, so the area of the rhombus ABCD = 4 Area (triangle DOC)=4*

=

(

)
267 supervisors will have 2670 employees.
Step-by-step explanation:
Let x be the number of employees.
Given,
3 supervisors = 30 employees
1 supervisor = 
1 supervisor = 10 employees
As one supervisor has 10 employees, 267 supervisors will have;
x = 267*10
x= 2670 employees
267 supervisors will have 2670 employees.
Keywords: Multiplication.
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Answer:
y = 3x + 7
Step-by-step explanation:
The are 4 different possibilities to draw a ten, namely a ten of the four different suits. The probability of the event is the ratio of the 4 possibilities and the total number of possible choices, whcih is 52:
P(E) = 4/52 = 1/13 or about 7.7%