In ΔSTU, \text{m}\angle S = (2x+10)^{\circ}m∠S=(2x+10) ∘ , \text{m}\angle T = (3x-9)^{\circ}m∠T=(3x−9) ∘ , and \text{m}\angle U = (6x-19)^{\circ}m∠U=(6x−19) ∘ . Find \text{m}\angle T. M∠T.

Step-by-step explanation:

Given: In ΔSTU, , ,

To find: .

We know that the sum of all the angles of a triangle is .

In ΔSTU,

Hence,

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls