The graph of a system of equations is
shown below.

a. (2,0) and (0,3)
b. (-40,-50)
c. the system has no solution
d. the system has infinitely many solutions

9514 1404 393

Answer:

  a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)

  b) no; different angles

Step-by-step explanation:

a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.

The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.

Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.

The scale factor relating the second triangle to the first is ...

  NC/RL = 45/30 = 3/2

__

b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.

Given:

The vertices of a triangle are A(-1,-1), B(-1,-5), C(0.5,-5).

The figure is translated 2 units left.

To find:

The vertices and the diagram of the triangle after the given translation.

Solution:

if a figure is translated 2 units left, then

[tex](x,y)\to (x-2,y)[/tex]

Using the above rule, we get

[tex]A(-1,-1)\to A'(-1-2,-1)[/tex]

[tex]A(-1,-1)\to A'(-3,-1)[/tex]

Similarly,

[tex]B(-1,-5)\to B'(-1-2,-5)[/tex]

[tex]B(-1,-5)\to B'(-3,-5)[/tex]

And,

[tex]C(0.5, -5)\to C'(0.5-2,-5)[/tex]

[tex]C(0.5, -5)\to C'(-1.5,-5)[/tex]

So, the vertices of the triangle after the translation are A'(-3,-1), B'(-3,-5), C'(-1.5,-5).

Therefore, the correct option is B.

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]\sqrt{9}[/tex] = 3

3[tex]\pi[/tex] = 9.42477

-2.4 = -2.4

-5 = -5

20% = 0.20

Answer:

A) $50

Step-by-step explanation:

Answer:

+$50

Step-by-step explanation:

Day #0 = $30

Day #10 = $80

80 - 30 = 50

:P

Answer:

m∠R = 123°

m∠S = 91°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc

m of arc QRS = 2 m∠P = 2(57) = 114

Now m of arc SPQ = 360 - 114 = 246

So, m∠R = 1/2(246) = 123

m of arc RSP = 2 m∠Q = 2(89) = 178

m of arc PQR = 360 - 178 = 182

m∠S = 1/2(182) = 91

Answer:

the answer is no. D

Step-by-step explanation:

Answer:

Oh, yes it is D

Answer:

8

Step-by-step explanation:

it is

Answer:

8

Step-by-step explanation:

1/4 of 32

1/4 = 25%

25% of 32

32 × 25 ÷ 100

= 8

or

32 ÷ 4 =8

Answer:

its b

Step-by-step explanation:

have a great day <3

The growth rate of your credit card balance is approximately 0.0142.

Therefore, the correct option is B.

Given that you got a credit card, you purchased a stereo system for $200. your credit limit is $1000.

The monthly interest rate is 1.42%.

We need to determine the growth rate of your credit card balance,

To calculate the growth rate of your credit card balance, we need to consider the monthly interest rate and the initial purchase amount.

The monthly interest rate is 1.42%, which can be expressed as a decimal by dividing it by 100: 0.0142.

The initial purchase amount is $200.

Assuming no payments are made and no additional purchases are made, the credit card balance will increase each month due to the accrued interest.

To calculate the growth rate, we can divide the accrued interest by the initial purchase amount.

Accrued interest = Monthly interest rate x Initial purchase amount

= 0.0142 x $200

= $2.84

Growth rate = Accrued interest / Initial purchase amount

= $2.84 / $200

≈ 0.0142

Therefore, the growth rate of your credit card balance is approximately 0.0142, which corresponds to option B.

Learn more about Credit cards click;

https://brainly.com/question/30940802

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Answer:

all I know is the answer for 5 so it is 2.0

Step-by-step explanation:

Answer:

4. 79.17%

5. 2.5

Step-by-step explanation:

4.  Q3 - Q1 = 4.75 - 0 = 4.75

      [tex]\frac{4.75}{6} *100[/tex] = 79.17

5.  Q3 - Q1 = 4.75 - 2.25 = 2.5

Answer:

i guess you multiply 3and 30good lu8ck

Step-by-step explanation:

Answer:

3x+30=90 complementary

3x=90-30

x=60/3=20

x=20° is your answer

Answer:

the center of this circle is (8, -4) and the radius is 2√3.

Step-by-step explanation:

Compare this equation

(x - 8) + (y + 4) = 12      Don't forget to type in the " ^ " symbol to indicate exponentiation.

(x - 8)^2 + (y + 4)^2 = 12

to the standard equation of a circle with center at (h, k) and radius r:

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

In this way we learn that h = 8, k = -4 and r^2 = 12 (or r = 2√3).

Then the center of this circle is (8, -4) and the radius is 2√3.

[tex]area = b \times h \\ = 11 \times 4 \\ = 44[/tex]

Answer:

Need to add picture

Step-by-step explanation:

Answer:

x^3 + 1 +  (−7) /  x+3

Step-by-step explanation:

Answer:

12057.6

Step-by-step explanation:

V = πr²h

3.14 x 16² x 15

Answer:

x = -2

Step-by-step explanation:

y = -4

2x -3y = 8

Substitute the first equation into the second equation

2x - 3(-4) = 8

2x +12 = 8

Subtract 12 from each side

2x+12-12 = 8-12

2x = -4

Divide by 2

2x/2 = -4/2

x = -2

Answer:

Well you just have to follow the formula to find the distance between 2 linear plots.

d= √(x2−x1)^2+(y2−y1)^2

Step-by-step explanation:

If you follow it the answer would be

D=50

Answer:i don’t know yet give me a sec

Step-by-step explanation:

Answer:

12.56 cubic feet (ft^3)

Step-by-step explanation:

Area of the circular face of the cylinder = (pi)r^2, or (3.14)(2)^2.

This ends up being equal to 12.56. Multiply this by the height of the cylinder, 1, and you get 12.56, your final answer.

I would appreciate Brainliest, but no worries.

Answer:

138.86

Step-by-step explanation:

Multiply the radius by 2 to get the diameter.

Multiply the result by π, or 3.14 for an estimation.

That's it; you found the circumference of the circle.

Answer:

The hikers are 5 miles apart.

Step-by-step explanation:

East + West = 3 miles apart (x-axis)

North + South = 4 miles apart (y-axis)

Then use the pythagorean theorem to find the distance between them.

sqrt(distance) = sqrt(3^2+4^2)

distance = sqrt(25)

distance = 5 miles

Answer:

2.4

Step-by-step explanation:

3 / 28 = 0.12

(we do this to see how many miles he ran in a minute)

0.12 x 20 = 2.4

(then we multiply how many miles he can run in 20 minutes)

Answer:

Solution in photo

Answer:

2/3

Step-by-step explanation:

Answer:

Slope = -6

Step-by-step explanation:

Answer:

dunno.

Step-by-step explanation:

duno

Answer:

(A) 22

(B) 12

Step-by-step explanation:

Jada makes sparkling juice by mixing 3 cups of sparkling water and 5 cups of Apple juice

(A) Jada uses 30 cups of Apple juice,the amount of sparkling water needed is

3+5

= 8

30-8

= 22

(B) 9+3

= 12

Answer: 1/2(16p+8)(p+2)

Explanation: There is a lot to do, but basically you must simplify the equation and then multiply by 4 on both sides

Answer:

Brand A

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius and h the height )

Brand A

V = [tex]\frac{1}{3}[/tex]π × 6² × 15 = [tex]\frac{1}{3}[/tex]π × 36 × 15 = π × 12 × 15 = 180π in³

Brand B

V = [tex]\frac{1}{3}[/tex]π × 5² × 18 = π × 25 × 6 = 150π in³

Brand A have the largest volume