Find the value of x. The diagram is not to scale. Explain your reasoning.

x = 24

Step-by-step explanation:

Since SR = ST then Δ RST is isosceles, thus the base angles are congruent.

∠ SRT = ∠ STR = 4x - 60

∠ STR and ∠ STU are adjacent and supplementary, thus

∠ STR + ∠ STU = 180, substitute values

4x - 60 + 6x = 180, that is

10x - 60 = 180 ( add 60 to both sides )

10x = 240 ( divide both sides by 10 )

x = 24

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.