14. a. Find the product: (5

What are the variables if PT= 2x, TR= y+4, QT= x+2, TS=y

Brilliant_brown [7]

The missing aspect of this question is shown in the attached image, which is that the letters correspond to vertices of a parallelogram.

A key feature of the parallelogram is that the diagonals bisect each other, therefore:

PT = TR
QT = TS

With this information we can now plug in the equations and solve for the variables x and y.

PT = TR
2x = y+4
y = 2x - 4

QT = TS
x + 2 = y

We now have two equations for the variable y. With this we can solve for x.

2x - 4 = x + 2
x = 6

y = x + 2
y = 6 + 2
y = 8

Once we solved for the variable x, we simply placed that value back into one of the previous equations and solved for y. The results are x = 6, y = 8.

5 0

3 years ago

10. What is the area of a triangle with base 4cm and

sergiy2304 [10]

Step-by-step explanation:

Area of triangle = 0.5(4)(8) = 16cm² (D).

4 0

3 years ago

la un joc pe calculator, trei copii au castigat inpreuna 780 de puncte. Al doilea copil a castigat de 3 ori mai multe puncte dec

ratelena [41]

Answer:

The number of points won by the first child was 37 points

The number of points won by the second child was 119 points

The number of points won by the third child was 624 points

Step-by-step explanation:

The question in English is

In a computer game, three children won together 780 points. The second child gained 3 times more points than the first and 8 more points, the third child gained four times more points than the first two in one place. How many points did each child earn

Let

x ----> number of points won by the first child

y ----> number of points won by the second child

z ----> number of points won by the third child

we know that

three children won together 780 points

so

$x+y+z=780$ ----> equation A

The second child gained 3 times more points than the first and 8 more points

$y=3x+8$ ----> equation B

the third child gained four times more points than the first two in one place

$z=4(x+y)$ ----> equation C

Solve the system by substitution

step 1

substitute equation B in equation C

$z=4(x+3x+8)$

$z=16x+32$ ----> equation D

step 2

substitute equation D and equation B in equation A

$x+(3x+8)+(16x+32)=780$

step 3

solve for x

$20x+40=780\\20x=740\\x=37$

step 4

Find the value of y

$y=3(37)+8=119$

step 5

Find the value of z

$z=16(37)+32=624$

therefore

The number of points won by the first child was 37 points

The number of points won by the second child was 119 points

The number of points won by the third child was 624 points

4 0

4 years ago

What is the probability of rolling double six

coldgirl [10]

1/36
a 6 on a die is only on one face, so that would be 1/6 of the whole die
to roll a double would mean take 1/6 x 1/6

4 0

3 years ago

Read 2 more answers

Which feature distinguishes mathematics from the other science ? Justify your answer.

andreyandreev [35.5K]

The main difference between mathematics and other sciences is that mathematics deals with rational models, in which they apply logical implications in axioms they assume. On the other hand, science uses these axioms and models to describe a certain natural phenomenon.

4 0

4 years ago

14.a. Find the product: (5 - 2X3+ x)​

14.a. Find the product: (5 - 2X3+ x)