Is AABC= ADEF? If so, name the postulate that applies.

The value of p and q in the right triangle are as follows:

p ≈ 30.6 units

q ≈ 14.9 units

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the side of a right triangle can be found using trigonometric ratios as follows:

Let's find p and q using the trigonometric ratios.

Hence,

sin 64 = opposite / hypotenuse

opposite side = p

hypotenuse = 34

Therefore,

sin 64 = p / 34

cross multiply

p = 34 sin 64

p = 30.5589975742

p ≈ 30.6 units

Hence,

cos 64 = adjacent  / hypotenuse

cos 64 = q / 34

cross multiply

q = 34 cos 64

q = 14.9046189908

q = 14.9 units

Therefore,

p ≈ 30.6 units

q ≈ 14.9 units

learn more on right triangles here: https://brainly.com/question/21633806

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Answer:

C) y = 2x + 3

Step-by-step explanation:

In slope intercept form(y = mx + b), b is the y intercept and m is the slope. The y intercept is y variable when the x variable is 0. In the chart, the y-intercept(b) is 3. Slope is identified by the different in y by the difference in x. In this chart the slope is 2. Now plug in the number into slope intercept form( y = 2x + 3).

Step-by-step explanation:

Parallel lines have the same slope.

[tex]x + 2y = 2 \\ 2y = x - 2 \\ y = 0.5x - 1[/tex]

[tex]y = mx + b \\ m \: is \: the \: slope \: so \: te \: slope \: is \: \frac{1}{2} [/tex]

Answer:

-60

Step-by-step explanation:

(plug in x= -1 and y= -3)

your equation will look like this-

5 ((-1)2-7+(-3))

solve using PEMDAS

Answer:

c = 69.1

Step-by-step explanation:

because if you already have 280 rooms and it will increase to 405 rooms essentially all you have to do is 280/405 and that gives you about 69.1%

Answer:

V2 has more room than the Aquarium.

Step-by-step explanation:

Answer:

I think it's maybe 11:55

Answer:

11:13

Step-by-step explanation:

Just simplify 55:65, by dividing by 5

Answer:

-8x - 6

Step-by-step explanation:

Combine like terms:  combining -12x + 4x results in -8x, and combining 6 and -12 results in -6.  Thus, we have

(-12x+6)+(4x-12) = -8x - 6

Answer: 4

Step-by-step explanation:

Answer:

y = -5

Step-by-step explanation:

-10(-1/2y + (-7/2)) + 7y = -25

Let's first of all expand the bracket to get;

5y + 35 + 7y = -25

12y + 35 = -25

12y = -25 - 35

12y = -60

y = -60/12

y = -5

Answer:

(the last one)

Step-by-step explanation:

Hi there!

This looks like a diagnostic. I had to take one last week and it was horrible!

Anyway, the numerator is the product of 5 and the sum of x and y, which can be written as 5(x+y)

The denominator is the product of negative 8 and x, which can be written as -8x.

I hope this helped!

Answer:

x=9

Step-by-step explanation:

AIA's are supplementary 15x+45=180

180-45=130

130/15 = 9

Answer:

everything but 1.091502…

Step-by-step explanation:

Brainliest please

Answer:

A,B,C,D,F

Step-by-step explanation:

Answer:

Step-by-step explanation:

(distance) d = (speed) s * t (time)

                    = 55km/h * 12.30m/s

                    = 11.275 km

                    = 11.275 * 1000

                    = 11275m

Answer:

c po ang sagot jan parehas tayo

Answer:

a) 4/15

b) 900 bolígrafos azules

750 bolígrafos negros

600 bolígrafos rojos

Step-by-step explanation:

Una fábrica de bolígrafos fabrica sus propios productos en tres colores diferentes. 2/5 de su fabricación son bolígrafos azules, 1/3 son bolígrafos negros y el resto son bolígrafos rojos.

a) ¿Qué fracción de bolígrafos son bolígrafos rojos?

Deje que el número total de bolígrafos se represente como 1

La fracción de bolígrafos rojos =

1 - (Fracción de bolígrafos azules + Fracción de bolígrafos negros)

= 1 - (2/5 + 1/3)

El mínimo común denominador es 15

= 1 - (6 + 5/15)

= 1 - 15/11

= 4/15

Por lo tanto, la fracción de bolígrafos rojos = 4/15

b) Si se han fabricado un total de 2250 bolígrafos en un día, ¿cuántos se han fabricado de cada color?

Para bolígrafos azules

2/5 de su fabricación son bolígrafos azules,

= 2/5 × 2250 bolígrafos

= 900 bolígrafos azules

Para bolígrafos negros

1/3 son bolígrafos negros

= 1/3 × 2250 bolígrafos

= 750 bolígrafos negros

Para bolígrafos rojos

4/15 son bolígrafos rojos

= 4/15 × 2250 bolígrafos

= 600 bolígrafos rojos

Answer:

               [tex]\bold{(\frac14m^2n)^3*(-32m^2n)=-\frac12m^8n^4}[/tex]

Step-by-step explanation:

                                [tex](\frac14m^2n)^3*(-32m^2n)=\\\\=(\frac14)^3*(m^2)^3*n^3*(-32)*m^2*n=\\\\= \frac1{64}*m^{2\cdot3}*n^3*(-32)*m^2*n=\\\\= \frac1{64}*(-32)*m^{6}*m^2*n^3*n=\\\\=-\frac{32}{64}*m^{6+2}*n^{3+1}=\\\\=-\frac12m^8n^4[/tex]

Answer: AI is 8, Rob is 18, and Bert is 36

Step-by-step explanation:

Ok, so the sum of their age is 62. Bert is x2 of Rob. Also someone is 10 years older than AI, lets assume Rob is the guy that is 10 years older. x+y+10+(z times 2)=62. So lets solve it. 62-10=52. 52=x+y+(z times 2). Now if you think about it x and y is the same, because the 10 is already minused. So it's now x*2+z*2=52, if you assume it now, z is x+10. So now it is 52=x*2+(x+10)x2. Now we break out the brackets so its x*2+x*2+20=52. Lets simplify it. x*4+20=52, lets swift the 20 the the other side. x*4=52-20, x*4=32. 32/4=8 so 8 is x. Now we know AI is 8, Rob is 18, and Bert is 36!

Answer:

5x + 14y

Explanation:

−4x+6y−(−9x−8y)

Distribute the Negative Sign:

= −4x+6y+−1(−9x−8y)

= −4x+6y+−1(−9x)+−1(−8y)

= −4x+6y+9x+8y

Combine Like Terms:

= −4x+6y+9x+8y

= (−4x+9x)+(6y+8y)

= 5x + 14y

Answer:

dfadfadsadas

Step-by-step explanation:

Answer:  The unit rate is $5 per  mug.

Step-by-step explanation:

To find the the unit rate, you will find the amount  one mug will cost.

If there are 9 mugs  then to get it to one, you will have to divide 9 by 9, and the same way you will have to divide 45 by 9.

45 / 9 = 5  

Answer: i believe Z=115 and Y=30

Step-by-step explanation: again im sorry if its wrong. but im pretty sure theyre not.

Answer:

28 bows

Step-by-step explanation:

Each bow is an equal piece.

1 bow = 2/5 yard

Total yard of ribbon = 11 1/5 yards

Hence:

2/5 yard = 1 bow

11 1/5 yards = x

2/5x = 11 1/5

x = 11 1/5 ÷ 2/5

x = 56/5 ÷ 2/5

x = 56/5 × 5/2

x = 28 bows

Therefore, Cathy can make 28 bows

Answer:

Step-by-step explanation:

the test lasted :

23 minutes+7=  30 min

12z;53 =7 min will be 1 pm