PLS HELP I WILL GIVE BRAINLY THINGY

Given:

In trapezoid [tex]ABCD, AD\parallel BC, MN[/tex] is the mid-segment of [tex]ABCD, AD=30x-10,MN=31x+1,BC=30x+28[/tex].

To find:

The length of [tex]AD[/tex].

Solution:

We know that the length of the mid-segment of a trapezoids is half of the sum of lengths of two parallel sides of the trapezoid.

In trapezoid [tex]ABCD[/tex],

[tex]MN=\dfrac{AD+BC}{2}[/tex]

[tex]31x+1=\dfrac{30x-10+30x+28}{2}[/tex]

[tex]31x+1=\dfrac{60x+18}{2}[/tex]

[tex]31x+1=30x+9[/tex]

Isolate variable terms.

[tex]31x-30x=9-1[/tex]

[tex]x=8[/tex]

Now,

[tex]AD=30x-10[/tex]

[tex]AD=30(8)-10[/tex]

[tex]AD=240-10[/tex]

[tex]AD=230[/tex]

Therefore, the length of [tex]AD[/tex] is 230.

Answer:

7) ∠EBD = 60°

87) ∠DBC = 72°

9) ∠EBC = 156°

10) ∠EBC = 138°

Step-by-step explanation:

Answer:

62 .5 minutes or 1 hr, 2 min, and 24 sec.

Step-by-step explanation:

Answer:

300 mins or 5 hours

Step-by-step explanation:

ok so 25 divided by 2.5 equals 10

10 times 30 equals 300min

300 divided by 60 because thats one hour s which equals 5 hours

Answer:

A, C, and B. In that order

Answer:

1/3x

Step-by-step explanation:

for 4xy/12x^2y we need to simply one of the x's and the y's and divide both parts by 4

so we get:

1/3x

Answer:

adjacent

Step-by-step explanation:

each angle shares a common ray

Step-by-step explanation:

x + y = 985

2.95x + 9.95y = 7343.75

-2.95x - 2.95y = -2905.75

7y = 4438

y= 634 steak sandwiches

x + 634 = 985

x = 351 hot dogs

Answer:

634 steak sandwiches

Step-by-step explanation:

h = hot dogs

s = steak sandwiches

First, lets make 2 equations.

2.95h + 9.95s = 7343.75

h + s = 985

We can make the second equation h = 985 - s

Now substitute h into the first equation.

2.95(985 - s) + 9.95s = 7343.75

Distribute the 2.95

2905.75 - 2.95s + 9.95s = 7343.75

Simplify s

2905.75 + 7s = 7343.75

Subtract 2905.75 from both sides

7s = 4438

s = 634

If h = 985 - s and s = 634 we can find h by subtracting 634 from 985

985 - 634 = 351

Now to check:

351 times 2.95 = 1035.45

634 times 9.95 = 6308.3

6308.3 + 1035.45 = 7343.75 so that means our answer is correct.

Hope this helps!!

Answer:

10.6 units

Step-by-step explanation:

distance formula

= √((x2-x1)²+(y2-y1)²)

= √((5+3)²+(-6-1)²

= √(8²+(-7)²)

= √ (64+49)

= √113

= 10.6

Answer:

Jon's hiding spot is closer to the starting point.

Step-by-step explanation:

Jon's final position forms a triangle with sides 100 ft and 120 ft respectively with an angle of 180 - 45 = 135 between them. Since the angle between the 100 ft direct east and 120 ft direction is 45, since Jon turns 45 after moving for 100 ft and then moves another 120 ft to his final destination.

Also, Lisa's final position forms a triangle with sides 120 ft and 100 ft respectively with an angle of 180 - 32 = 148 between them. Since the angle between the 120 ft direction west and 100 ft direction south of west is 45, since Lisa turns 32 after moving for 120 ft and then moves another 100 ft to her final destination.

Using the cosine rule,

a² = b² + c² - 2abcosФ,  we find the length of the third side of each triangle which is their distance from the starting point.

So, for Jon

a² = b² + c² - 2abcosФ where b = 100 ft, c = 120 ft and Ф = 135°

Thus,

a² = (100 ft)² + (120 ft)² - 2(100 ft)(120 ft)cos135°

a² = 10000 ft² + 14400 ft² - 24000 ft²cos135°

a² = 10000 ft² + 14400 ft² - 24000 ft²(-0.7071)

a² = 24400 ft² + 16970.56 ft²

a² = 41370.56 ft²

a = √(41370.56 ft²)

a = 203.4 ft

for Lisa

a'² = b'² + c'² - 2a'b'cosФ' where b = 120 ft, c = 100 ft and Ф = 148°

Thus,

a'² = (120 ft)² + (100 ft)² - 2(120 ft)(100 ft)cos148°

a'² = 14400 ft² + 10000 ft² - 24000 ft²cos148°

a'² = 14400 ft² + 10000 ft² - 24000 ft²(-0.8481)

a'² = 24400 ft² + 20353.15 ft²

a'² = 44753.15 ft²

a' = √(44753.15 ft²)

a' = 211.56 ft

a' ≅ 211.6 ft

Since a = 203.4 ft < a' = 211.6 ft,

Jon's hiding spot is closer to the starting point.

Step-by-step explanation:

[tex] ( - 4) + ( - 8) - ( - 3) + ( + 6) - ( + 10) \\ = ( - 4) - 8 + 3 + 6 - 10 \\ = - 12 + 3 + 6 - 10 \\ = - 9 + 6 - 10 \\ = - 3 - 10 \\ = - 13[/tex]

Answer:

1/2

Step-by-step explanation:

You should inverse the slope and multiply by -1

Answer:

9 of 32 invitations were mailed

fraction = 9/32

Decimal = this can be derived by dividing 9 by 32 = 0.28

Percentage = this can be derived by multiplying the decimal by 100 = 28%

Step-by-step explanation:

Number of invitations mailed = 1/3 x (total invitation - invitation mom delivered)

1/3 x (32 - 5)

1/3 x (27)

= 9

This figure can be expressed as a fraction

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator.

The numerator is the number above. While the denominator is the number below

an example of a fraction =  [tex]\frac{1}{2}[/tex]

1 is the numerator while 2 is the denominator

fraction = 9/32

Decimal = this can be derived by dividing 9 by 32 = 0.28

Percentage = this can be derived by multiplying the decimal by 100 = 28%

Answer:

x = 27°, ∠JLK = 55°

Step-by-step explanation:

From the diagram in the question above,

The exterior angle of a triangle is equal to the sum of the two opposite side

3x+13 = 39+(2x+1)

3x+13 = 40+2x

collect like terms and solve for x

3x-2x = 40-13

x = 27°.

∠JKL = 2x+1

Substitute the value of x

∠JKL = 2(27)+1

∠JKL = 54+1

∠JKL = 55°

You like to watch movies at the local theater. You have two payment options. Your first option is to buy a discount card which will cost you $160, and then $20 for m movies, 20m + 160. Your second option will cost you $100, and then pay $40 for m movies, 40m + 100. After how many movies will the total costs of the two options be the same?

the answers is 3

Answer:

X=6

B=126

Step-by-step explanation:

8x+78°=2x+114°

8x-2x=114-78

6x=36

x=6

B=2(6)+114

B=12+114

B=126°

Note angle A and B are alternate angles and thus are equal

Answer:

since X=6 ,

2×6+114= 126 .

Answer:

s(r(2)) = 6

Step-by-step explanation:

You would first solve for r(2). You then input r(2) which equals -2 into s(r(2)).

r(x)= -2x + 2

r(2)= -2(2) + 2

r(2)= -4 +2

r(2)= -2

s(x)=x² + 2

s(r(2)) = (-2)² +2

s(r(2)) = 6

Answer:

Its c

Step-by-step explanation:

Step-by-step explanation:

Area of Rectangle Prism = Area of base x height

= Length x Width x Height

[tex] = 1 \times \frac{1}{4} \times \frac{1}{2} \\ = 0.125 {in}^{3} [/tex]

One Apple Pie =

[tex]0.125 {in}^{3} [/tex]

Volume of 528 Apple Pies = Volume of 1 apple pie x 528

=

[tex]0.125 \times 528 \\ = 66 {in}^{3} [/tex]

Answer:

yes I can help you. the answer to the problem is 4/35.

Step-by-step explanation:

1. convert any mixed number into fractions.

your equation becomes 4/7÷5/1. this equals 4×1 over 7×5. multiply normally and your result is 4/35

Answer:

1,365

Step-by-step explanation:

Answer:

There can be 1365 different ways of choosing 11 players from a squad of 15. This means there can be 1365 eleven-member teams formed with 15 players.

Answer:

1

Step-by-step explanation:

Line is passing through the points (2, 2) & (6, 6)

Slope of line = (6 - 2)/(6 - 2) = 4/4 = 1

Answer:

I'm not sure but I think it is b

Answer:

(x+244)/y=3/2

x/y=3/5

y=5x/3

(x+244)/(x5/3)=3/2

x+244=3/2 . 5x/3

x+244=15x/6

6(x+244)=15x

6x+1464=15x

1464=15x-6x

1464=9x

x=1464/9

x≈ 162

mm=162*5/3=270

162:270 = 3:5

pm before = 270*3/2=405

405:270 = 3:2

Answer:

0

Step-by-step explanation:

Answer:

hiro and brenda

Step-by-step explanation:

Answer: what is selected right now is correct.

Step-by-step explanation:

Answer:

The blue shaded section of the circle represents one sixth of the circle's area.