suppose line AT bisects ∠CAR. if ∠CAT = 5x and ∠CAR = 9x +7, what is ∠TAR

Answer: a.) the altitude from N to line LM 6 units

Step-by-step explanation: Looking at the graph, you can count the units from the point N to the line, or you can find the difference between 4 and -2:  4- (-2) = 6

The altitude from N to LM is 6 units. Therefore, option A is the correct answer.

From the graph, triangle LMN is given.

The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex.

From the given graph we can see, the altitude from N to LM is 6 units.

Therefore, option A is the correct answer.

To learn more about the altitude of a triangle visit:

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Answer:

KJ = 40

Step-by-step explanation:

Usinh the similarity factor, LJ is similar with PR and QR is similar to KJ

and the similarity ratio is 56/42 = 4/3

which means KJ/30 = 4/3 cross multiply expressions

KJ = 40

Answer and Step-by-step explanation:

1. 3(5x - 4) = 8x + 2

15x - 12 = 8x + 2

15x - 8x = 2 + 12

7x = 14

x = 2

2. 9(n + 3) = 7n - 3

9n + 27 = 7n - 3

9n – 7n = -3 – 27

2n = – 30

n = –15

3. 2(10 - 6x) = x - 8x

20 - 12x = -7x

20 = -7x + 12x

20 = 5x

x = 4

4. 5a + 4(3a - 8) = 4 + 13a

5a + 12a - 32 = 4 + 13a

17a - 32 = 4 + 13a

17a - 13a = 4 + 32

4a = 36

a = 9

5. 2y + 18 = 12 - 6(y + 7)

2y + 18 = 12 - 6y - 42

2y + 6y = 12 - 42 - 18

8y = -48

y = -6

6. x - (5 - 3x) = 7x + 4

x - 5 + 3x = 7x + 4

4x - 7x= 4 + 5

-3x = 9

x = -3

7. 8(m - 5) = 2(3m - 8)

8m - 40 = 6m - 16

8m - 6m = -16 + 40

2m = 24

m = 12

8. -4(3 - 6d) = 9(2d - 2)

-12 + 24d = 18d - 18

24d - 18d = -18 + 12

6d = -6

d = -1

9. 7(10 - 3w) = 5(15 - 4w)

70 - 21w = 75 - 20w

-21w + 20w = 75 - 70

-w = 5

w = -5

10. 6t + 3(5t - 4) = 12(2t - 5)

6t + 15t - 12 = 24t - 60

21t - 24t = -60 + 12

- 3t = -48

t = 16

11. 2(9x - 1) = 99 - 7(3 - 4x)

18x - 2 = 99 - 21 + 28x

18x - 28x = 99 - 21+2

-10x = 80

x = -8

12. 6(5k - 8) - 20 = 11(2k - 3) + 3k

30k - 48 - 20 = 22k - 33 + 3k

30k - 68 = 25k - 33

30 - 25k = -33 + 68

5k = 35

k = 7

13. - x - (13 + 4x) = -3(5 - 9x) + 2

-x -13 - 4x = -15 + 27x + 2

-5x - 13 = -13 + 27x

-13 + 13 = 27x + 5x

0 = 32x

x = 0

Answer:

mid point of AB (0.5 , 0)

Step-by-step explanation:

2x + 5y = 1      2x = 1 - 5y

y = 2xy+ 5 = (1 - 5y)*y + 5 = y - 5y² + 5

y-y = y - 5y² + 5 - y = - 5y² + 5

0 = - 5y² + 5

5y² = 5

y² = 1

y = 1 or y = -1

if y = 1       x = 1/2 (1 - 5) = -2   .... point A (-2 , 1)

if y = -1      x = 1/2 (1 + 5) = 3   ..... point B (3 , -1)

mid point of AB (x' , y') :  x' = 1/2 (x₁ + x₂) = 1/2 (-2 + 3) = 1/2

                                        y' =  1/2 (y₁ + y₂) = 1/2 (-1 + 1) = 0    

Answer:

98.1

Step-by-step explanation:

Given:

Equation of line is [tex]y=\dfrac{1}{4}x-7[/tex].

The perpendicular line passes through (-2,-6).

To find:

The point slope form of perpendicular line.

Solution:

We have,

[tex]y=\dfrac{1}{4}x-7[/tex]

On comparing this equation with [tex]y=mx+b[/tex], we get

[tex]m=\dfrac{1}{4}[/tex]

Slope of given line is [tex]\dfrac{1}{4}[/tex].

Product of slopes of two perpendicular of the lines is -1.

So, [tex]Slope\times \dfrac{1}{4}=-1[/tex]

[tex]Slope=-4[/tex]

Slope of required line is -4 and it passes through (-2,-6). So, the point slope form is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

[tex]y-(-6)=-4(x-(-2))[/tex]

[tex]y+6=-4(x+2)[/tex]

Therefore, the correct option is A.

9514 1404 393

Answer:

  x = -2 or 3

Step-by-step explanation:

Let z = 2^x. Then the equation becomes ...

  [tex]2^{2x+2}+8=33(2^x)\\\\(2^2)(2^x)^2+8=33(2^x)\\\\4z^2+8=33z \qquad\text{substitute $z$ for $2^x$}\\\\4z^2-33z+8=0 \qquad\text{put the quadratic in standard form}\\\\(4z-1)(z-8)=0 \qquad\text{factor}\\\\z=\dfrac{1}{4}\text{ or }z=8\qquad\text{values of z that make the factors 0}\\\\x=\log_2{z}=\{-2,\ 3\}[/tex]

The values of x that satisfy the equation are -2 and 3.

_____

For the graph, we rewrite the equation to the form ...

  f(x) = 0

where

  f(x) = 2^(2x+2) +8 -33(2^x)

Then the x-intercepts of the function are the solution values for x.

Answer:

9 a) degree is 4 and variable is 0 and co efficient is z

b) degree is 5 and the constant term is 7

Answer:

x=26°

Step-by-step explanation:

3x-14+x+90=180

4x-14=90

4x=104

x=104/4

x=26°

Answer:

SSS

BC = CB (COMMON)

AB = DC (DATA)

AE+EC = DE + EB

Answer:

0/-25

Step-by-step explanation:

You use the slope formula the first x value you divided by the second x value and then put that at the numerator which equals 0 and the repeat with the y values and put the difference at the denominator and that equals -25

Answer:

Step-by-step explanation:

J is correct.. that function can never be less than 2

Answer:

I tried but soory I can't understand

Answer:

D-60°

Step-by-step explanation:

K,L,M is collinear and JM=JL

M can only be extend to the left of K, otherwise it will overlap with L

JM = JL     ΔJML is isosceles triangle    ∠JML ≅ ∠JLM

∠JLM = 90 - ∠KJL = 90 - 30 = 60

∠JML = 60°

Answer: the triangles are congruent because

Step-by-step explanation: if you put them over lapping and switch the triangles then it would be the same. but you cant use this in your B answer.

Answer:

7/ 15

Step-by-step explanation:

2/ 5 × 7/ 6

reduce the numbers

1/ 5 × 7/ 3

multiply

= 7/ 15

hope it helps!

Answer:

|x+5|=-16/-4

|x+5|=4

x=4-5

x=-1

Answer:

Step-by-step explanation:

-4(x + 5)=-16

-4 x x - 4 x 5=-16

-4x - 20=-16

-4x - 20 + 20=-16+20

-4x=4

-4x/-4=4/-4

x=-1

Answer:

∠ 2 = 75°

Step-by-step explanation:

∠ 6 and ∠ 2 are corresponding angles and are congruent, thus

∠ 2 = ∠ 6 = 75°

Answer:

9 mg

Step-by-step explanation:

We are told in the question above that:

One serving of Raisin Bran cereal contains 50 percent of the 18 mg Daily Value for iron.

Hence, the amount of iron in 1 serving of Raisin Bran cereal =

50% × 18mg

50/100 × 18 mg

= 9 mg

Answer:

You can turn the leftovers into a decimal. the answer you would get would be 1.2.

Step-by-step explanation:

Hope this helps and have a nice day!

Answer:

Calculate out how many times the denominator goes into the numerator. To do that, divide 18 by 15 and keep only what is to the left of the decimal point:

18 / 15 = 1.2000 = 1

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

18 - (15 x 1) = 3

Keep the original denominator and use the answers from Step 1 and Step 2 to get this:

1 3/15

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 18/15 as a Mixed Number is:

1 1/5

Which would also equal to 1.2000.

Hope this kinda helped and made some sense.

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Step-by-step explanation:

Answer:

Step-by-step explanation:

First plot the two points on the graph (0, 0) and (1/3, 7/3)

Then connect those points by a line and extend the line

See attached

Slope is:

Answer:

A)The function is negative when x is less than 0

Step-by-step explanation:

Answer:

p = 1 ; q = 10,000

Step-by-step explanation:

Number of distinct colored balls = 10

Number of balls picked with replacement = 4

Probability = (number of required outcome / number of total possible outcomes)

Distinct picks :

P(1st) = 1 /10

P(2nd) = 1/10

P(3rd) = 1/10

P(4th) = 1/10

Expected Numbe of distinct color:

P(1st) * P(2nd) * P(3rd) * P(4th)

1/10 * 1/10 * 1/10 * 1/10

= 1/10000

p/q = 1/ 10000

p = 1 ; q = 10,000

Answer:

0.0048cm/s

Step-by-step explanation:

Volume of the spherical balloon is expressed as;

[tex]V = 4/3 \pi r^3\\[/tex]

dV/dt = dV/dr * dr/dt

Given

dV/dt = 5cm³/s

dV/dr = 4πr²

Since V = 972picm³

972π = 4/3πr³

972 = 4/3r³

4r³ = 972 * 3

r³ = (972 *3)/4

r³ = 729

r = ∛729

r = 9cm

dV/dr = 4π(9)²

dV/dr = 324π

dV/dt = dV/dr * dr/dt

5 = 324πdr/dt

dr/dt = 5/324π

dr/dt = 5/324(3.14)

dr/dt = 5/1017.36

dr/dt = 0.0048cm/s

Answer:

It actually (70, 195)

Step-by-step explanation:

The point that represents the location of the beetle 5 seconds after starting are;  (70, 195).

The pair of parametric equations to model the path of the beetle is;

x(t)= 14t and y(t)= 37t + 10

An animation shows a beetle crawling in a straight line from the point (0, 10) to the point (28, 84) in 2 seconds.

Proving the answer;

At t(0,10), x = 0 and y = 10

Thus;

For X-coordinate;

x(0) = 14(0)

x(0) = 0

Similarly;

For y-coordinate;

y(0) = 37(0) + 10

y(0) = 10

That corresponds with the coordinate t(0, 10).

At t = 2 seconds, we have;

For x-coordinate;

x(2) = 14(2)

x(2) = 28

Similalry, for the y-coordinate;

y(2) = 37(2) + 10

y(2) = 160

Now, At t = 2 seconds, we have;

For x-coordinate;

x(5) = 14(5)

x(5) = 70

Similalry, for the y-coordinate;

y(5) = 37(5) + 10

y(5) = 195

The point that represents the location of the beetle 5 seconds after starting are;  (70, 195).

Read more about Parametric Equations at;

brainly.com/question/10165611

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Answer:

The change is a decrease of $2700.

Step-by-step explanation:

Given

Total Number of people = 27

Amount each person withdrew = $100

The total withdrawn amount by 27 people = 100 × 27

                                                                       = $2700

Let M be the amount of money in the ATM at the beginning.

As $2700 was drawn from the ATM, therefore, the change the amount of money in the machine will be:

It means the change is a decrease of $2700.

Answer:

C = 21.98 in

Step-by-step explanation:

C = πd,

where C is the circumference, π equals 3.14, and d is the diameter.

C = πd

C = (3.14)(7)

C = 21.98 in

Hope this helps!

Answer:

Wow, you're dense. It's 1/2, or 0.5

Step-by-step explanation:

hope i helped, but seriously.

Answer:

15/30=0.5

Step-by-step explanation:

15/30 =0.5