Find the probability that a student earns a grade D or F

Answer:

x = 138°

Step-by-step explanation:

Since the sum of all angles in a triangle is 180°, we find ∠BAC:

m∠BAC = 180 - (68 + 70) = 42°

Since ∠x and ∠BAC are Supplementary Angles, they add up to 180°:

180 - 42 = x

x = 138°

Answer:

138

Step-by-step explanation:

1. 68 + 70 = 138

2. 180 - 38 = 42

3. 180 - 42 = 138

4. X = 138

Answer:

Yes.

Step-by-step explanation:

The angles of the triangles add up to be 180. 180 - 114 - 31 = 35. 180-114-35 = 31. Since the angles of the triangles correspond and are congruent, the triangles are similar, with PQR corresponding to TUS.

Hope this helps !

Answer:

(4, - 5 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (y, - x ) , thus

(5, 4 ) → (4, - 5 )

Answer:

(4,-5)

Step-by-step explanation:

Definition : Rotate around  the origin 270 degrees. ' Since the rule for a 270 degrees rotation is (x, y) --------> (y, -x)

P(5,4) the mage is x=4, y=-5

Answer:

Point Form:

( − 46 /3 , − 44 /3 )

Equation Form:

x = − 46 /3 ,  y = − 44 /3

Step-by-step explanation:

Combine  1 /2 and  x .

y = x /2 − 7

2 x − y = − 16

Replace all occurrences of  y  in  2 x − y = − 16  with  x /2 − 7 .

y = x /2 − 7

2 x − ( x /2 − 7 ) = − 16

 Simplify  

2 x − ( x /2 − 7 ) .

y = x /2 − 7

3 x /2 + 7 = − 16

Solve for  

x

in the second equation.

y = x /2 - 7

x = − 46 /3

Replace all occurrences of  x  in  y = x /2 − 7 with  − 46 /3 .

y = − 46 /3 /2 − 7

x = − 46 /3

Simplify  − 46 /3 /2 − 7 .

y = − 44 /3

x = − 46 /3

The solution to the system of equations can be represented as a point.

( − 46 /3 , − 44 /3 )

The result can be shown in multiple forms.

Point Form:

( − 46 /3 , − 44 /3 )

Equation Form:

x = − 46 /3 ,  y = − 44 /3

Answer:

             [tex]\bold{m=\dfrac15}[/tex]

Step-by-step explanation:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-2,\,2)\ \implies\ x_1=-2\,,\ y_1=2\\(3,\,3)\ \implies\ x_2=3\,,\ y_2=3\\\\m=\dfrac{3-2}{3-(-2)}=\dfrac{1}{3+2}=\dfrac15[/tex]

Answer:

f

Step-by-step explanation:

f

Answer:

[tex]\boxed{AB = 9}[/tex]

Step-by-step explanation:

AB = 2(AC) {Because a line segment drawn from a center of a circle bisect the chord opposite to it}

So,

AB = 2(4.5)

AB = 9

Answer:

Step-by-step explanation:

For this problem, we have to use Heron's Formula.

S= (a + b + c)

     over 2

And then  √S( S-a) (S-b) (S-c)

That's the formula, now to plug in the numbers.

S= 12+12+21.2

      over 2

that equals 45.2/ 2= 22.6'

Now we found s, so we can plug in the second step of the formula...

√22.6 ( 22.6 - 12 ) ( 22.6 - 12 ) ( 22.6 - 21.2 )

This equals √ 22.6 (10.6) (10.6) (1.4)

and that equals...

59.624411 = or rounded it up to 60.

Answer:

Hey there!

To solve this problem, we want to find the LCM (least common multiple) of the two numbers.

The numbers are 25 and 30.

25=5x5

30=2x3x5

LCM is 5x5x2x3, or 150.

Thus, in 150 minutes is when the next bus will leave.

150 mins is equal to 2 hours and 30 mins, or 2.5 hours.

8 AM + 2.5 hrs = 10:30 AM.

Thus, the next time the busses leave together would be at 10:30 AM.

Let me know if this helps :)

Answer:

97

Step-by-step explanation:

the shape leans a little so it's more than 90

Answer:

No less than 42 lessons

Step-by-step explanation:

To find the total numbers of hours needed to teach, divide the total amount of money needed by the amount of money made an hour.

$894.60/$21.30 = 42

Answer:

8

Step-by-step explanation:

We will the pythagorian theorem :

Answer:

b=8

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle:

a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse

a=6 and b = 10

6^2 + b ^2 = 10^2

36+ b^2 = 100

b^2 = 100-36

b^2 = 64

Taking the square root of each side

sqrt(b^2) = sqrt(64)

b = 8

Answer:

Please find attached the required circle

It is observed that the angle subtended by the arc CB which are m∠CAB and m∠CDB is such that the angle arc CB subtends at the center,  m∠CAB is two times the angle that the arc CB subtends at the circumference

The measured angle subtended by the arc CB at the center m∠CAB = 64° and the measured angle subtended by the arc CB at the circumference m∠CDB = 32°

Step-by-step explanation:

T

Answer:

from edmentum

Step-by-step explanation:

Answer:

             [tex]\bold{y+5=\frac57(x-8)}[/tex]

Step-by-step explanation:

[tex]y-y_1=m(x-x_1)[/tex]      - point-slope form of Equation of the Line

[tex](8,-5)\ \ \implies x_1=8\,,\ y_1=-5\\\\m=\frac57\\\\equation:\\{}\qquad\qquad y-(-5)=\frac57(x-8)\\\\{}\qquad\qquad y+5=\frac57(x-8)[/tex]

Answer:

The correct option is

x = 10

Step-by-step explanation:

in a circle Given that chord  [tex]\overline {OP}[/tex] is congruent to  [tex]\overline {QR}[/tex], we have;

Measured angle m∠RZQ is congruent to measured angle m∠PZO

Congruent chords are subtended by congruent angles at the center of the circle

Therefore we have;

4·x - 11 is equal to 2·x + 9

4·x - 2·x = 9 + 11

2·x = 20

x = 10

The value of the measured angles are;

4·x - 11 = 4×10 - 11 = 40 - 11 = 29°

The value of x is 10°.

Answer:

x=10

Step-by-step explanation:

4·x - 11 is equal to 2·x + 9

4·x - 2·x = 9 + 11

2·x = 20

x = 10

The value of the measured angles are;

4·x - 11 = 4×10 - 11 = 40 - 11 = 29°

The value of x is 10°

Answer:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

Step-by-step explanation:

Let the rate (speed) of the plane in still air = u km/h

Let the rate (speed) of the wind = v km/h

Formula for speed is:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Given that against the wind, airplane travels 7520 km in 8 hours.

The speed against the wind will be slower so,

Against the wind, speed = (u -v ) km/h

Using above formula:

[tex](u-v) = \dfrac{7520}{8} km/h\\(u-v) = 940 km/h ..... (1)[/tex]

Given that with the wind, airplane travels 6500 km in 5 hours.

The speed with the wind will be faster so,

With the wind, speed = (u +v ) km/h

Using above formula:

[tex](u+v) = \dfrac{6520}{5} km/h\\(u+v) = 1300 km/h ..... (2)[/tex]

Adding (1) and (2) to solve for u and v:

[tex]2u = 2240\\\Rightarrow u = 1120\ km/h[/tex]

Putting u in (1):

[tex]1120-u=940\\\Rightarrow u = 180\ km/h[/tex]

So, the answers are:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

Answer:

  = -2x/ ( x^2+5) ^2

Step-by-step explanation:

y = 1/ ( x^2 +5)

y = ( x^2+5) ^ -1

dy/dx = -1 * (x^2 + 5) ^-2  * d/dx  (x^2 + 5)

          -1 * (x^2 + 5) ^-2  * 2x

           = -2x/ ( x^2+5) ^2

Answer:

A. 120 degrees.

Step-by-step explanation:

The two angles are alternate angles, which means they are congruent. So, x is also 120 degrees.

Hope this helps!

Answer:

Step-by-step explanation:

[tex]30g ----> 2.5g -fat\\566g ----> xg -fat\\30x = 1415\\\frac{30x}{30} =\frac{1415}{30} \\\\x = 47.1666\\\\x = 47.2g of Fat[/tex]

Answer:

[tex]\boxed{1 \: \: \mathrm{solution}}[/tex]

Step-by-step explanation:

The point where two lines intersect is the solution to the system of equations.

The two lines intersect at (-1, 2).

x = -1

y = 2

y = 2x + 4

y = -x + 1

Plug y as -x+1 in the first equation.

-x + 1 = 2x + 4

-x - 2x = 4 - 1

-3x = 3

x = -1

Plug x as -1 in the second equation.

y = -(-1) + 1

y = 1 + 1

y = 2

Answer:

Hey there!

Only one solution, because they intersect at only one point.

Hope this helps :)

Answer:

x = 4

Step-by-step explanation:

If two secants are drawn to a circle from one exterior point, then the product of the exterior segment and whole segment is same. i.e 6×(6+x) = 5×(5+x+3)

=> 6x+36 = 5x + 15 +25

=> x = 40-36

=> x = 4

I hope it's the right answer.

Answer:

x = 4

Step-by-step explanation:

Given 2 secants drawn to a circle from an external point, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

6(6 + x) = 5(5 + x + 3), that is

36 + 6x = 5(8 + x) = 40 + 5x ( subtract 5x from both sides )

36 + x = 40 ( subtract 36 from both sides )

x = 4

Answer:

y=-5x^2+4x+2

Step-by-step explanation:

Answer:

-5x² + 4x + 2

Step-by-step explanation:

Standard Form: ax² + bx + c

All you need to do is rearrange to have the highest degree first.

Answer:

a.) (0,4) b.) (-4,0)

Step-by-step explanation:

a.) Let x=0 and solve for y: y=0+4=4. Since we let x=0 the first number will be 0 and we found y to be 4, so our coordinates are (0,4)

b.) Let y=0 and solve for x: 0=x+4, x=-4. Since x=-4 our first number is -4, since y is 0 our second number is 0, so our coordinates are (-4,0)

Hope this helps!

Answer:

Initial number of trees (t)=204

Step-by-step explanation:

t = initial number of trees

Subtract 5 trees from the initial number of trees

we have,

t-5

each remaining tree made 210 oranges for a total of 41,790 oranges

We have,

(t-5) * 210=41790

Solve the equation

(t-5) * 210=41790

Open the bracket

210t-1050=41790

210t=41790+1050

210t=42840

Divide both sides by 210

210t/210=42840/210

t=204

The initial number of trees on MacDonald farm orange trees (t)=204

If 5 is removed from the initial trees

t-5=204-5

=199 trees

199 trees produce 210 oranges

We have,

199*210=41790 oranges

Answer:

Equation: 210t - 1050 = 41790

204 orange trees

Step-by-step explanation:

answer is from khan academy

pls brainliest :|

Answer:

y=4x

Step-by-step explanation:

this is because all other systems are defined and can be solved simultaneously...

pls lime and follow me ...i follow back...thanks

Answer:

C. 55

Step-by-step explanation:

Since all angles in a triangle add up to 180°, we have:

40 + y + y + 30 = 180

2y + 70 = 180

2y = 110

y = 55

Answer:

C. 55º

Step-by-step explanation:

A triangle is 180º.

So, 40+y+30+y = 180º         Form an equation to solve it. Then combine like terms

70+2y = 180º                       Subtract 70 on both sides.

2y = 110º                              Divide 2 on both sides

y = 55º                                The answer is 55º

Answer:

9

Step-by-step explanation:

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 9x+5

The slope is 9

Parallel lines have the same slope so a line parallel would have a slope of 9

Answer:

i think the slope is 9.

because y= 9x+5 is in the form of slope intercept form.

as y=mx + c (where m is the slope of the equation.)

therefore, the slope (m )= 9....ans

hope it helps....

Answer:

I think the answers are 1 to 1 ,9 to 8 , 10 to7

Answer: 18.96 km/h

Step-by-step explanation:

Gwen:

65 miles = 104.6 km

104.6 km / 2.5 h  =   41.84 km/h

Bryn:

15 min = 0.25 h

76 km / 1.25 h  =  60.8 km/h

Difference:

60.8 - 41.84 = 18.96 km/h

Hope this helps!