Find the measure of the interior angle of the polygon
48°
132
132

Answer:

Governor of State B: $120,340; Governor of State A: $169,320

Step-by-step explanation:

For the sake of this problem, let's set the salary of State B's governor as x. That would make the salary of State A's governor equal to x+48980. The following lists out how to solve this problem.

Governor B salary + Governor A salary = $48980

x+x+48980=289660

2x+48980=289660

2x=240680

x=120340

120340+48980=169320

Answer:

To prove that ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent.

From the diagram, it is shown that CA is congruent to RM.

From the first option, given that m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = m∠M = 64°).

This shows that the first option is correct.

From the second option, given that CB = MQ = 29 cm, then we have CA = RM, CB = MQ, but ACB is not congruent to RMQ.

Thus the second option in not correct.

From the third option, m∠Q = 56° and CB ≅ RQ, then we have CA = RM, CB = RQ, ACB = 60°, but we do not know the value of MRQ.

Thus the third option is not correct.

From the fourth option, m∠R = 60° and AB ≅ MQ, then we have CA = RM, AB = MQ, RMQ = 64°, but we do not know the value of CAB.

Thus the fourth option is not correct.

From the fifth option, AB = QR = 31 cm, then we have CA = RM, AB = QR, but we do not know the value of CAB or MRQ.

Thus, the fifth option is not correct.

Therefore, the additional information that could be used to prove ΔABC ≅ ΔMQR using SAS is m∠A = 64° and AB = MQ = 31 cm

The additional information could be used to prove ABC≅MQR using SAS will be m∠R = 60° and AB≅MQ. Option D is correct.

Triangles that are equivalent in terms of size and form are known as congruent triangles.

The conditions for ABC≅MQR are;

m∠R = 60°

AB≅MQ

Using the new data, it is possible to demonstrate that m∠R = 60° and AB is equal to the MQ will result in ABC≅MQR using SAS.

Hence option D is correct.

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Answer:

Reverse the x and y:

x = 3y + 4.  

Now subtract 4 from both sides:

x - 4 = 3y

Divide both sides by 3:

1/3 x - 4/3 = y

Answer:

$116

Step-by-step explanation:

the total discount is 20-15 = 5%

the dicount = (5*120)/100 = $4

So she bought it with price = 120 - 4 = $116

Answer: 8%

Step-by-step explanation:

1. Apply the discount to the original price

20% of 120 (0.2*120) is 24, thus Genna saves 24 dollars

120-24 = 96 (the new price of the shoes, with the coupon applied)

2. Apply the service fee to the discounted price

15% of 96 (0.15*96) = 14.4

This number is the amount of money being added to the discounted price, as it is an additional fee

96 + 14.4 = 110.4

3. Find the percent discount Genna's shoes are using the new price.

1 - (New price/Old price) = Percent discount

110.4/120 = 0.92

1 - 0.92 = 0.08

The shoes are 92% of the original price. Thus, the shoes are 8% less than the original price.

All transformations that map the pattern onto itself are; a horizontal translation and a reflection across a vertical line.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x).

All these translations have predetermined rules that we apply to the figures.

The congruence of a triangle can be obtain through Rotation; Translation; or Reflection.

For this particular strip pattern onto itself, can be obtained by a horizontal translation and a reflection across a vertical line

All transformations that map the pattern onto itself are; a horizontal translation and a reflection across a vertical line.

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Answer:

umm you need help with what

Step-by-step explanation:

there is no question

Answer: slope = 3/4

y intercept = 2

equation : y= 3/4x+2

Step-by-step explanation:

Answer:

It is true

Step-by-step explanation:

Convert to slope-intercept form:

2x-y=6

-y=6-2x

y=-6+2x

y=2x-6

Since y=mx+b is the form we want, then b=-6, making the statement true.

Answer:

true

Step-by-step explanation:

you switch the 2x to the other side to get -y = 2x + 6

then you multiply everything by -1 to get y = -2x-6

-6 is the y int

Answer:

60/2.5 = 24 cm

Step-by-step explanation:

if you are satisfied with the results then plz make me genius

Answer:

The answer is 24 inches.

Step-by-step explanation:

Given:

1 inch = 2.5 cm

or, 1 cm = 1/2.5 inch............... eqn (i)

Now,

Wideness of envelope = 60 cm

= 60 (1/2.5) inches [From eqn (i)]

= 60/2.5 inches

= 24 inches Ans

Answer:

0.02

Step-by-step explanation:

Answer:

500$+500$=1000$

Step-by-step explanation:

for songs=50×10=500$

for movie=5×100=500$

total=500$+500$=1000$

50x+100y

hope it helps:)

Answer:

5x-4x+1=2

5x-4x=2-1

x=1ans

Answer:

D. 1

Step-by-step explanation:

Answer:

multiplication

Step-by-step explanation:

5x8=40

Answer:

If you mean which equation with variables can be used it is s/5 = 8

Step-by-step explanation:

Answer:I think it’s option 2, light blue

Step-by-step explanation:

Answer:

(a) less than 1 year =0.751488

(b) more than 2 years but less than 4 years = 0.2458

(c) at least 5 years= 0.760331

Step-by-step explanation:

f(t) = 1 λ e−t/λ, [0, [infinity])

First we calculate the probability for an exponential random variable X with parameter λ

P (X= t) = ∫ 1 λ e−t/λ, dt

P (x=t) =  e−t/λ,

λ = 3.5

Now P (X< 1 ) = ∫ 1 λ e−t/λ, dt        [the limits are (-∞ to 1)]

                         = e−1/3.5= 0.751488

P ( 2<X< 4 ) =  ∫ 1 λ e−t/λ, dt         [ the limits are (2 to 4)]

                     =e−2/3.5- e−4/3.5

                  = e-0.57142-e-1.142857  

                  = 0.5647-0.31890

                  = 0.2458

P (at least 5)  = 1- P (x=5)

                   = 1-∫ 1 λ e−t/λ, dt           [ the limits are (∞ to 5)]

                     = 1- e−5/3.5

                     = 1 - e-1.4285

                     = 1-0.239

                        = 0.760331

Answer:

4 and 5 unsolved

Step-by-step explanation:

Answer:17/20

Step-by-step explanation: multiply the denominators by each other and then multiply the numerators by the opposite denominators and then add them both together- 4 x 5=20 1 x 5=5 3 x 4=12

5+12=17

17/20

simplest form

Answer:

There is no other way you can expand the brackets

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

coefficient is the number next to the variable.

Answer:

1.) 7 ft = 84 in   2.) 100 yd= 300 ft  3.) 96 oz= 6 lbs  4.) 32 fl oz= 4 c  5.) 48 oz            6.) 80,000 lbs

Step-by-step explanation:

You have to use conversation rates.

1. 84

2. 300

3. 6

4. 4

5. 48

6. 80,000

Step-by-step explanation: I hope this made your day ツ

Answer: 1, 8, 64, 512

Step-by-step explanation:

1^3 = 1 * 1 * 1 = 1

2^3 = 2 * 2 * 2 = 8

4^3 = 4 * 4 * 4 = 64

8^3 = 8 * 8 * 8 = 512

P .= 2L + 2W at W= 10, P= 44

44 = 2L + 2 (10)

44 = 2L + 20

44-20 = 2L

24 = 2L

L= 24/2

L= 12cm

Answer:

$700

Step-by-step explanation:

Given that,

The sales tax in the town where Amanda lives is 5%.

Amanda paid $35  in sales tax on a new stereo.

We need to find the price of the stereo. Let it is x. Using the formula for percentage as follows :

[tex]\%=\dfrac{\text{sales tax}}{\text{total}}\times 100\\\\5\%=\dfrac{35}{x}\times 100\%\\\\x=\dfrac{35\times 100\%}{5\%}\\\\=\$700[/tex]

So, the price of the stereo is $700. Hence, the correct option is(c).

Answer: 600 m

Step-by-step explanation:

Imagine we have measured a distance as 1.5 cm on this map, and we want to find out how far this is in real life.

To work out the distance in real life, we need to multiply this length by 40,000.

This gives 1.5 cm × 40,000 = 60,000 cm which is 600 m or 0.6 km.

Sol b : Alternatively, we could have just remembered that each 1 cm on the map is 0.4 km in real life.

Hence, 1.5 cm on the map must be 1.5 × 0.4 km = 0.6 km in real life.

the answer is effect

Answer:

this a effect you can change the change the water