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2 years ago

If Ray QS bisects angle PQR , m of angle PQS=7x-6 and m of angle SQR =4x+15,find m of angle PQT

1 answer:

8 0

"Bisect" is a mathematical term which means to divide into two equal parts. We can bisect angles, lines, and more. The line that divides is called the "bisector".
sample problem:

 If Ray QS bisects angle PQR , m of angle PQS=7x-6 and m of angle SQR =4x+15,find m of angle PQT.

Since it is mentioned that ray QS bisects the angle PQR, it is understood that the m of angle of PQT is 4x+15. It is because as metioned earlier, to bisect angles or lines, it means dividing into 2 equal parts, thus, bisect equal measurements of angles.

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Please help me with those question please help with out number 1

alina1380 [7]

Answer:

1) For each value of x, a value of y is increased by 5.

x = 0, y = 5

x = 1, y = 10

x = 2, y = 15

x = 3, y = 20

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2) For each two values of x, a value of y is increased by 10.

x = 0, y = -2

x = 2, y = 8

x = 4, y = 18

x = 6, y = 28

-------------------------------------------------------------------------------------------

x = 0, y = 1

x = 1, y = $\frac{7}{5}$

x = 5, y = 3

x = 10, y = 5

-------------------------------------------------------------------------------------------------

x = 0, y = 2

x = 1, y = 17

x = 2, y = 32

x = 5, y = 77

Step-by-step explanation:

This is as easy as replacing x for the actual value show on the table.

$y=5x+5$

When x = 0, y = ?

$y=5(0)+5\\y=0+5\\y=5$

When x = 1, y = ?

$y=5(1)+5\\y=5+5\\y=10$

When x = 2, y = ?

$y=5(2)+5\\y=10+5\\y=15$

When x = 3, y = ?

$y=5(3)+5\\y=15+5\\y=20$

-------------------------------------------------------------------------------------------------------

$y=5x-2$

When x = 0, y = ?

$y=5(0)-2\\y=0-2\\y=-2$

When x = 2, y = ?

$y=5(2)-2\\y=10-2\\y=8$

When x = 4, y = ?

$y=5(4)-2\\y=20-2\\y=18$

When x = 6, y = ?

$y=5(6)-2\\y=30-2\\y=28$

----------------------------------------------------------------------------------------------------

$y=\frac{2}{5}x +1$

When x = 0, y = ?

$y=\frac{2}{5}(0) +1$

$y=0 +1\\y=1$

When x = 1, y = ?

$y=\frac{2}{5}(1) +1\\y=\frac{2}{5} +1$

$y=\frac{2}{5}+1(\frac{5}{5})\\ y=\frac{2}{5}+\frac{5}{5} \\y=\frac{7}{5}$

When x = 5, y = ?

$y=\frac{2}{5}(5) +1\\y=2+1\\y=3$

When x = 10, y = ?

$y=\frac{2}{5}(10) +1\\y=2(2) +1\\y=4+1\\y=5$

-------------------------------------------------------------------------------------------------

$y=15x+2$

When x = 0, y = ?

$y=15(0)+2\\y=0+2\\y=2$

When x = 1, y = ?

$y=15(1)+2\\y=15+2\\y=17$

When x = 2, y = ?

$y=15(2)+2\\y=30+2\\y=32$

When x = 5, y = ?

$y=15(5)+2\\y=75+2\\y=77$

4 0

2 years ago

Read 2 more answers

What is the equation of the circle with center (2, –5) that passes through the point (–2, 10)?

Travka [436]

The standard equation of a circle is

(x-h)^2 + (y-k)^2 = r^2

where the center is at point (h,k)

From the statement of the problem, it is already established that h = 2 and k = -5. What we have to determine is the value of r. This could be calculated by calculating the distance between the center and point (-2,10). The formula would be

r = square root [(x1-x2)^2 + (y1-y2)^2)]
r = square root [(2--2)^2 + (-5-10)^2)]
r = square root (241)
r^2 = 241

Thus, the equation of the circle is

$(x-2)^{2} + (y+5)^{2} =241$

4 0

2 years ago

Joe can clear a lot in 2.5 hours. His partner can do the same job in 7.5 hours. How long will it take them working together?

irina [24]

Answer:

The time required by both persons to complete the work T = 1.458 hours

Step-by-step explanation:

Given data

Time required by Joe to clear a lot $T_1$ = 2.5 hours

Time required by his partner to clear a lot $T_2$ = 2.5 hours

Time required by both persons to complete the work by working together

$T = \frac{T_1 T_2}{T_1 + T_2}$

$T = \frac{(2.5)(3.5)}{2.5 + 3.5}$

T = 1.458 hours

Therefore the time required by both persons to complete the work T = 1.458 hours

7 0

3 years ago

Whats the solution to the system of inequalities? -3x-y+z=6 -3x-y+3z=0 -3z=3

Naya [18.7K]

Answer:

This system of equations has no solution. It is inconsistent.

Step-by-step explanation:

The last equation tells you z = -1.

Substituting this value for z in the other two equations allows them to be written as ...

-3x -y = 7

-3x -y = 3

There are no values of x and y that can make both these equations true.

3 0

2 years ago

BASEBALL In the 2001 season, the Chicago Cubs won 88 out of 162 games. What percent of games did the Cubs win? Round to the near

jeyben [28]

Answer:

54%

Step-by-step explanation:

We have to divide 88/162.

We get 54.3% so 54%

8 0

2 years ago