THE MEASURE OF TWO ADJACENT ANGLES OF THE PARALLELOGRAM ARE IN THE RATIO OF 3:2. FIND THE MEASURE OF EACH OF THE ANGLES OF THE PARALLELOGRAM

Answer:

y=3/2x-7

Step-by-step explanation:

the equation of the line for slope-intercept form is y=mx+b, where  m is the slope and b is the y intercept.

we are given two points: (4,-1) and (8,5)

the equation for slope is (y2-y1)/(x2-x1)

label the points:

x1=4

y1=-1

x2=8

y2=5

now substitute into the equation:

m=(5--1)/(8-4)

m=6/4

m=3/2

the slope of the line is 3/2

here is our equation so far:

y=3/2x+b

we need to find b

since the equation will pass through the points, we can substitute either one into the equation to find b

let's use (4,-1) as an example

substitute into the equation

-1=3/2(4)+b

-1=6+b

-7=b

the y intercept is -7

so the equation is y=3/2x-7

hope this helps!

Answer:

The error is;

B. Kimberly did not find the inverse sine of the value she calculated

Step-by-step explanation:

The given parameters of the triangle ΔLMN are;

[tex]\overline {LN}[/tex] = 16

[tex]\overline {NM}[/tex] = 10

∠L = 33°

By sine rule, we have;

[tex]\dfrac{sin \ M}{16} = \dfrac{sin \ L}{10} = \dfrac{sin \ N}{\overline {LM}}[/tex]

Given that ∠L = 33°, we have;

[tex]\dfrac{sin \ M}{16} = \dfrac{sin \ 33^{\circ}}{10}[/tex]

Therefore, we have;

[tex]sin \ M = 16 \times \dfrac{sin \ 33^{\circ}}{10} \approx 0.8714[/tex]

sin M ≈ 0.8714

[tex]\therefore m \angle M = sin^{-1} \, (sin \ M)\approx sin^{-1} (0.8714) \approx 60.62^{\circ}[/tex]

Therefore, m∠M ≈ 60.62°

m∠M ≠ sin M ≈ 0.8714

Therefore;

Kimberly did not find the inverse sine (sin⁻¹) of the value she calculated

Answer:

(2,-4)

Step-by-step explanation:

you see (-4,0), then you do the opposite of what it says like it says right 1 unit. then you g left 1 unit. then it says left 3 units. so you go right 3, which results you starting at (2.-4)

Answer:

6

Step-by-step explanation:

Using the similarity theorem f the triangle

(4+6)/x+9 = 4/x

10/x+9 = 4/x

Cross multiply

10x =4(x+9)

10x = 4x+36

10x-4x = 36

6x = 36

x = 6

Hence the value of x is 6

Answer:

$2.22

Step-by-step explanation:

Answer:

-7b

Step-by-step explanation:

Ok soo you have add the terms.

1b+(-8b)=-7b

Have a good!!

Answer:

-9b

Step-by-step explanation:

i'm assuming this is just combining like terms so if you ignore the (b) you will have

6-5+(-8)

-1+(-8)

-9

then you put back the variable and you get -9b

Answer:

20

Step-by-step explanation:

Answer: 502.655

Step-by-step explanation:

just search cylinder calculator

Answer:

Bob is at the top, so he starts at step 9.

Sue is at the bottom, so she is at the step 0 (this is the floor, before stepping on step 1)

Sue climbs from one step on one step.

Then she if she climbs n times, she will be at the step number:

S(n) = 0 + 1*n

And Bob goes down by 2 steps each time, then after he goes down n times, his position will be:

B(n) = 9 - 2*n

We want to see when they meet, then we need to solve:

S(n) = B(n)

1*n = 9 - 2*n

1*n + 2*n = 9

3*n = 9

n = 9/3 = 3

n = 3.

This means that they meet a the step:

S(3) = 3*1 = 3

B(3) = 9 - 2*3 = 9 - 6 = 3

They meet at the third steep.

Answer:

B 1 1/2 pts

4 fluid ounces = 0.25 pints

24 fluid ounces = 6 pt

Answer:45

Step-by-step explanation:

Answer:

This is so easy it's basically 6x9 which isssss, 54 lol,

Step-by-step explanation:

Answer:

8 more attackers than defenders

Step-by-step explanation:

36÷18=2

2x11=22

2x7=14

Answer:

8

Step-by-step explanation:

sum the parts of the ratio, 11 + 7 = 18 parts

Divide the number of players by 18 to find the value of one part of the ratio

36 ÷ 18 = 2 players ← value of 1 part of the ratio, then

11 parts = 11 × 2 = 22 ← number of attackers

7 parts = 7 × 2 = 14 ← number of defenders

22 - 14 = 8

There are 8 more attackers than defenders

Answer:

Step-by-step explanation:

Supplementary angles add up to 180°.

“θ is 148° more than its supplement”

Supplement of θ = 180°-θ

θ = (180°-θ) + 148°

2θ = 328°

θ = 164°

Supplement of θ = 180°-164° = 16°

Answer:

a) $525 CAD

b) $168.30 per day

c)  $38.05

Step-by-step explanation:

a)   1 USD =  500  

    1.05CAD      x

cross-multiply:  x = $525 CAD

b) 504.90 / 3 = 168.30 per day

c)   1 USD =   x  

    1.05CAD   39.95

cross-multiply: 1.05x = 39.95

x = 39.95 / 1.05

x = $38.05 USD

Answer:

20

Step-by-step explanation:

45% of x=9

x=9/0.45 = 20

Answer:

y=-2x-8

Step-by-step explanation:

-2-4/-3-(-6)=-6/3=-2

y-4=-2(x-(-6))

y-4=-2(x+6)

y-4=-2x-12

y=-2x-12=4

y=-2x-8

Answer:

5x-3xy+2?

srry if its wrong

Answer:

5x- 3xy +2

Step-by-step explanation:

Follow the rule of PEMDAS to simplify expressions.

Answer:

Area = 156.25 pi square centimetres

Step-by-step explanation:

circumference = 》

[tex]2 \: \pi\:r[/tex]

so,

=》

[tex]2 \: \pi \: r = 25\pi[/tex]

=》

[tex]r = 25 \div 2[/tex]

=》

[tex]r = 12.5[/tex]

now, the area = 》

[tex]\pi \: r \: {}^{2} [/tex]

=》

[tex]\ pi \times 12.5 \times 12.5[/tex]

=》

Answer:

8 meters per minute

Step-by-step explanation:

120/50=8

Hope this helps! :)

Answer:

8 meters/second

Step-by-step explanation:

Divide the distance(120 meters) by the time(15 minutes) to find the answer. the formula for any speed problem is d/t.

Hope this helps!

Answer:

6.25inch=15.625cm

Step-by-step explanation:

1inch=2.5cm

6.25*2.5=15.625cm

Answer: it’s 400

Step-by-step explanation:

Answer:

use the matway well help you get the answers

Answer:

4

Step-by-step explanation:

It is. I just know it lol

Answer:

Figure 3

Step-by-step explanation:

Answer:

To get the circumference, multiply the diameter by pi.  You have the diameter in meters, and you were given an approximate value of pi.  Multiply these 2 numbers, and get the circumference in meters.

Step-by-step explanation:

Answer:

144π or about 452.39

Step-by-step explanation:

Diameter = 24 meters

Radius = diameter/2 = 12 meters

Area of a circle = π*radius*radius = π*radius^2

Area = π*12^2 = 144π = 452.39

When interset compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

If the interest compounded continuously:

P = $12000, r = 4.5% = 0.045%

[tex]\rm A(t) =12000(e)^{0.045t}[/tex]

When t = 10 years, plug this value in the above expression and calculating, we get;

A(10) = $18819.75

When interest compounded daily:

[tex]\rm A(t) = 12000(1+\dfrac{0.045}{365})^{365t}[/tex]

Plug t = 10 years:

We get;

A(10) = $18819.22

Similarly,

If interest is compounded monthly:

n = 12 and t =10, we get:

A(10) = $18803.91

Thus, when interset compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.

Learn more about the compound interest here:

brainly.com/question/26457073

#SPJ1

Answer:

B (1/6)

Step-by-step explanation:

The cards she draws doesn't affect what number the dice lands on.  1 every 6 times on average the dice lands on 6 so there is a 1/6 probability represented by B.

Answer:

B red shirt, skining pant, boots

[tex]8x + 1 > - 31 \\ 8x > - 1 - 31 \\ 8x > - 32 \\ x > \frac{ - 32}{8} \\ x > - 4[/tex]