Mathematics: Triangles S T U and W V X are congruent. Angles W and W are congruent, T and V are congruent, and U and X are congruent. Which of the following statements are correct based on the diagram? Select all that apply. Segment U T is congruent to segment X V Angle S is congruent to angle V Segment S T is congruent to segment W V Angle V is congruent to angle T Segment U S is congruent to segment X V

Triangles S T U and W V X are congruent. Angles W

therealdest

09.11.2020

Number of small boxes shipped = 10

Number of large boxes shipped = 12

Step-by-step explanation:

Let x be the number of small boxes

and

y be the number of large boxes

According to the first statement, a total of 22 boxes were shipped

Equation 1 will be:

x+y=22

And

According to 2nd statement, Total weight was 1350 and we know the weight of one small box is 45 and large box is 75

So equation 2 will be:

45x+75y=1350

We will use the substitution method for solving the equation

So from equation 1

$x+y=22\\x=22-y$

Putting the value of x in eqn 2

$45x+75y=1350\\45(22-y)+75y=1350\\990-45y+75y=1350\\-45y+75y=1350-990\\30y=360\\\frac{30y}{30}=\frac{360}{30}\\y=12$

Putting the value of y in eqn 1

$x+y=22\\x+12=22\\x=22-12\\x=10$

So,

Number of small boxes shipped = 10

Number of large boxes shipped = 12 ..

0,0(0 оценок)