Decide if the following statement is valid or
invalid.
If you live in Miami, then you live in Florida.
Jada lives in Florida, so she lives in Miami.
Valid
Invalid

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

because the lines go in the order of the side than the angle and than the other side- and the lines also determine if the two sides are equal- i dont know if that makes sense

Answer:

(a) PR = 55.2 cm

(b) RT = 19.7 cm

(c) <RPT = [tex]20.8^{o}[/tex]

Step-by-step explanation:

(a) to determine the value of PR, apply the Pythagoras theorem to PQR.

PQ = 45, and SP = QR = 32. So that;

[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]/PR/^{2}[/tex] = [tex]45^{2}[/tex] + [tex]32^{2}[/tex]

          = 2025 + 1024

          = 3049

PR = [tex]\sqrt{3049}[/tex]

     = 55.218

PR = 55.2 cm

(b) To determine RT, apply the appropriate trigonometric function to QRT.

Let RT be represented by x, so that;

Sin [tex]38^{o}[/tex] = [tex]\frac{x}{32}[/tex]

x = 32 * Sin [tex]38^{o}[/tex]

  = 32 * 0.6157

x = 19.7024

RT = 19.7 cm

(c) To determine <RPT, let the angle be represented by θ.

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

        = [tex]\frac{RT}{PR}[/tex]

Sin θ = [tex]\frac{19.7024}{55.218}[/tex]

         = 0.3568

θ = [tex]Sin^{-1}[/tex] 0.35568

  = [tex]20.84^{o}[/tex]

Thus, <RPT = [tex]20.8^{o}[/tex]

Answer:

(6, 3)

Step-by-step explanation:

Note that the opposite side of parallelogram are congruent, hence;

Jk = LM

2y + 3 = 5y - 6

2y - 5y  =-6 - 3

-3y = -9

y = 9/3

y = 3

Similarly;

KL = JM

8x – 10 = 3x+20

8x - 3x =  20 + 10

5x = 30

x = 30/5

x = 6

Hence (x,y) is (6, 3)

Answer:

B.

Step-by-step explanation:

Answer:

r = 2

Step-by-step explanation:

2(8r + 5) = 24 + 9r

16r + 10 = 24 + 9r

16r - 9r = 24 - 10

7r = 14

r = 2

Answer:

B

Step-by-step explanation:

Using the graph, we pick a convenient point: (20, 180)

This point means that for 20 hours of work, Vincent is paid 180 dollars. In fraction form, we can write 20hrs/180 dollars. If we simplify the fraction by dividing both the numerator and denominator by 20 we get 1/9 AKA 1hr/9 dollars. So in 1 hour, Vinnie is paid $9.00

Have a good rest of your day

Answer:

The answer would be C, or 3

Step-by-step explanation:

2x with a power of 2 to the power of 3 is 6x, with a power of five, plus y to the fower of 3.

Answer:

-42

Step-by-step explanation:

Which expression is equivalent to 14 x minus 21 over 7 ?

Mathematically this expression is written as:

= (14 × -21)÷ 7

= (14 × -21)/7

= - 294/7

= -42

Therefore, the equivalent of the above expression is calculated as -42

Answer:

B is correct

Step-by-step explanation:

Answer:

2 blue marbles;

4 yellow marbles;

5 green marbles;

11 marbles in total;

The chance of choosing a blue marble is 2 out of 11 or 2/11

It is unlikely that Sandra will choose a blue marble from the bag.

Answer:

2 1/3 hours or 2 hrs, 20 min

Step-by-step explanation:

1 5/6 + 1/2

make mixed number into improper fraction and change 1/2 to 3/6

11/6 + 3/6 = 25/6

14/6 equals 2 2/6 which simplifies to be 2 1/3 or 2 hrs, 20 min

Answer:

By using the pythagorean property such that GJ^2+HJ^2 = GH^2

GJ = √(GH^2-HJ^2)

GJ √(11881-8281)

GJ = √ 3600

GJ = 60.00 (ANS)

Hope it helps

Answer:

it's answer is 73°

Step-by-step explanation:

< DCB = 50°

< ACB = x

< CAB = 57°

< ABC = < DCB = 50° {Being alternate angles }

Now

x + 50° + 57° = 180° { being sum of angles of triangle }

x + 107° = 180°

x = 180° - 107°

Therefore x = 73°

Hope it will help :)❤

Answer:

38°

Step-by-step explanation:

The measure of angle NPM is 38°.

➠ ∠MPJ + ∠LPM = 180°

➠ ∠MPJ + 90° = 180°

➠ ∠MPJ = 180° – 90°

➠ ∠MPJ = 90°

∠NPM = ∠MPJ – ∠JPN

➠ ∠NPM = 90° – 52°

➠ ∠NPM = 38°

Answer:

(¡)...2 + 24

= 26

¡¡)..3+24

27

Answer:

13.0

Step-by-step explanation:

sin(65°) × 14.3 would give u 12.9 then u round it to the 13

Answer:

c

Step-by-step explanation:

Answer:

B. 6%

Step-by-step explanation:

Answer:

6%

Step-by-step explanation:

Her 24 monthly payments total 24 x $56 = $1344

That means that $1344 - $1200 = $144 is just interest.  What percent is this of her loan amount?  Divide to find out:

144 / 2400 = 0.06 = 6%

Answer:

(1.5,6)(15,33) slope=2

Step-by-step explanation:

Answer:

y-2x=3; A(1.5, 6) B(15,33) Slope = 2

Step-by-step explanation:

First thing, you add 2x on both sides and get y=2x+3. Since the equation y=mx+b states that m is the slope, the slope is 2.

2nd step is finding the missing coordinate for a. You plug in 6 as the y in the equation y=2x+3, and then get 2x+3=6. Now it is a simple algrebraic equation and you get x=3/2 or 1.5.

The final step is to solve for B. Using the equation y=2x+3, and substituting in x as 15, you get y=30+3 which equals 33.

I hope this gave you an in depth explanation on solving these problems!

Answer:

M > 3

Step-by-step explanation:

4M > 12

M > 3

Answer:

um... you can have M as 4. 4 x 4 =16

Answer:

62 ft is the answer

Step-by-step explanation:

I did the test

Answer: 2 : 50 pm

Step-by-step explanation:

If Jan took a break at 3:05 pm and she had been jumping rope for 15 minutes before that, to find the time she started jumping rope, subtract 15 from the current time:

= 3:05 - 15

= 2:50 pm

Jan started jumping rope at 2 : 50 pm

Answer:

f(x) = x

Step-by-step explanation:

example of points on line: (40,40), (45,45), (50,50)

x-values are the same as y-values which means the line is y=x

Answer:

Step-by-step explanation:

-12

Answer:

x = 8

Why?

Step-by-step explanation:

2(8) - 6 = 10

16 - 6 = 10

there you go :-)

HOPE IT HELPS

(FROM CROSS)

Answer:

The total area is 594cm.²

Step-by-step explanation:

The top and bottom each have a length of 36 cm.

Blue side:

36/3= 12cm. (36/3 for the length of one side of a blue square)

12*12= 144cm.² (area of one blue square)

144*3= 432cm.² (area of all the blue squares)

Orange side:

36/8= 4.5cm. (the length of one side of an orange square)

4.5*4.5= 20.25cm.² (the area of one orange square)

20.25*8= 162cm.² (the area of all the orange squares)

Total area:

432+162= 594 cm.²

I hope this makes more sense, have a great day :D

Answer:

[tex]V_d=976.9ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of cylinder h_1=114 feet

Diameter d=1

Length of triangular prism [tex]l_2=34ft[/tex]

Width of triangular prism  [tex]w_2=34ft[/tex]

Height of triangular prism [tex]h_2=1 ft[/tex]

Generally the equation for Volume of the cylinder is mathematically given by

 [tex]V_c=\pir^2h[/tex]

Where

 [tex]r=d/2\\r=0.5[/tex]

Therefore

 [tex]V_c-=\pi*0.5*114[/tex]

 [tex]V_c=57\pi[/tex]

 [tex]V_c=179.1ft[/tex]

Generally the equation for Volume of a Rectangular prism is mathematically given by

 [tex]V_r=whl[/tex]

 [tex]V_r=34*34*1[/tex]

 [tex]V_r=1156feet[/tex]

Generally the equation for Volume difference  is mathematically given by

 [tex]V_d=V_r-V_c[/tex]

 [tex]V_d=1156-179.1[/tex]

 [tex]V_d=976.9ft[/tex]

Answer :

Probability = 16/18

Reduce the fraction with 2

Probability = 8/9

Answer:

[tex]\implies\boxed{\red{\sf P( not \ having\ red\ hair)=\dfrac{ 8}{9}}}[/tex]

Step-by-step explanation:

Given :-

And we need to find the probability that a person picked at random from the room does not have red hair . So for that firstly let us find how many people do not have red hair.

According to Question :-

[tex]\implies n_{(red)}+ n_{(not\ red)}= 18 \\\\\implies 2 + n_{(not\ red)}= 18 \\\\\implies n_{(not\ red)}= 18 -2 =\boxed{\red{16}}[/tex]

Hence the probability is :-

[tex]\implies P( not \ having\ red\ hair)=\dfrac{ n_{(favourable\ outcomes)}}{n_{(possible\ outcomes)}} \\\\\implies P( not \ having\ red\ hair)=\dfrac{ 16}{18} \\\\\implies\boxed{P( not \ having\ red\ hair)=\dfrac{ 8}{9}}[/tex]

Hence the required probability is 8/9 .

Answer:

I am pretty sure it is (-2,8) and (2,-8)

Step-by-step explanation:

I think my answer is correct because it goes from Quadrant 1 into 4. Other answers are just I quadrant away.