Alex's weight is 2 pounds less than twice his son's weight. Alex weighs 174 pounds. How much does his son weigh?

133 ≤ x ≤ 148

We first take Corey's weight off of the total:

405-127 = 278

The other two boys together weigh 278.

We know that Alex weighs no more than 145 and no less than 130. Taking these two numbers off of the 278 will give us the constraints for Carl's weight:

278-145 = 133

278-130 = 148

This means that 133 ≤ x ≤ 148

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.