Answer:
x < 3
Step-by-step explanation:
−4x−8>−20
Add 8 to each side
−4x−8+8>−20+8
-4x> -12
Divide each side by -4, remembering to flip the inequality
-4x/-4 < -12/-4
x < 3
Answer:
Step-by-step explanation:
Since angle ABD is 133 degrees and the sum of the angles in a triangle is 180 degrees, it means that
m∠ DAB + 133 + 22 = 180
m∠ DAB = 180 - 155 = 25 degrees
Also, ∆ ADC is an isosceles triangle because two of its sides are equal. It also means that the base angles are equal. Thus,
m∠ A = m∠ B
Therefore,
m∠ A + m∠ B + angle D = 180
m∠ A + m∠ B = 180 - 22 × 2
m∠ A + m∠ B = 180 - 44 = 136
m∠ A = m∠ B = 136/2 = 68 degrees
m∠ CAB + m∠ DAB = m∠ A
Therefore,
m∠ CAB = 68 - 25 = 43 degrees
Since ∆ ABC is isosceles, then
m∠ CAB = m∠ ACB
m∠ ACB = 43 degrees
m∠ ABC = 180 - (43 × 2) = 180 - 86
m∠ ABC = 94 degrees
m∠ BCD = 68 - m∠ ACB
m∠ BCD = 68 - 43 = 25 degrees
Answer:
Step-by-step explanation:
The ratio of the employees using a laptop computer to those not using one was 1:3 in the year 2005. In 2006, the number of employees using a laptop as well as those not using it doubled. This means that both proportions would be doubled. Therefore, the ratio of the employees using a laptop to those not using one in 2006 would be
2:6
