Find the measure of the given angle.

Answer and Step-by-step explanation:

The length of the rectangle is 3 + w (w represents the width).

The polynomial representing the area of the rectangle:

a (area) = w(3 + w) = w^2 + 3w

A)

a = 1

b = 2

c = 3

d = 1

B)

w = 4

(4)^2 + 3(4) = 8 + 12 = 20

e = 20

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I hope this helps!

Answer:

I can't understand what you wrote but I think it's 594

Step-by-step explanation:

You divide 12 by 2, it is igual to 6.

6 x 33 = 189

189 x 3 = 594

I try to help if it not work :(

Answer:

1,2,5,10,20 and 80

Step-by-step explanation:

Step-by-step explanation:

x + 10 / 12 = 8/3

x = 8/3 - 10/12

x = 22/12

Answer:

x = 10

y = 6

Step-by-step explanation:

We can use the vertical angle theorem to solve for most of this problem. We know that 1/3 will have the same measure and so will 4/2. We can create an equation to solve for 1 and 3.

10x = 100

x = 10

We aren't given angle 4 so we are going to have to solve that ourselves. We can create an equation knowing that 4 and 3 will create a supplementary angle.

100 + z = 180

z = 80

Now, that we have angle 4, we know that angle 2 will have the same measure because they are vertical angles. Now to find the value of y, we can take the angle measure and solve for it.

10y + 20 = 80

10y = 60

y = 6

Best of Luck!

Answer:

A. Divide both sides of the equation by 3, and then subtract 6 from both sides of the equation. The solution is x = 1.

Step-by-step explanation:

3(x + 6) = 21

Divide both sides by 3

(x + 6) = 7

Subtract 6 from each side

x = 7-6

x=1

Answer:

x=1

Step-by-step explanation:

multiply 3 with (x+6) resulting into 3x+18=21

cross-multiply and divide through by 3.

There u go

Answer:

17$

Step-by-step explanation:

(3 * 2)+ (2 * 4) + (1*3) = 17$

Answer:

98

Step-by-step explanation:

show work

Answer:

SAS

Step-by-step explanation:

line AB = line CD    S = SIDE

AB = CD because the shape is a parallelogram and opposite sides of a parallelogram are equal.

Hence, proved AB = CD

Answer:

Step-by-step explanation:

In ΔADC & ΔABC,

Statement              Reason

AD = BC                 Given

∠DAC ≅ ∠ACB       {AB // BC , AC is transversal, ⇒ alternate interior                                     angles are equal}

AC = CA                   Reflexive property

ΔADC ≅ ΔABC         SAS congruent

AB = CD                 CPCT -> Corresponding Part of Congruent Triangles

[tex]\\ \rm\Rrightarrow 26+6b\geqslant 2(3b+4)[/tex]

[tex]\\ \rm\Rrightarrow 26+6b\geqslant 6b+8[/tex]

[tex]\\ \rm\Rrightarrow 6b-6b\geqslant 8-26[/tex]

[tex]\\ \rm\Rrightarrow 0\geqslant -14[/tex]

Hence

It has no solutions

Answer:

A. All Real Numbers

Step-by-step explanation:

26 + 6b ≥ 2(3b + 4)

~Simplify

26 + 6b ≥ 6b + 8

~Subtract 26 to both sides

6b ≥ 6b - 18

~Subtract 6b to both sides

0 ≥ -18

Best of Luck!

Answer:

x = y+9/4

Step-by-step explanation:

if you were trying to rearrange to make x the subject. Take minus 9 to another side which will be plus 9, then divide y+9 by 4

Answer:

the lateral area of cone is L=A﹣πr2

the surface area of cone is

[tex]a = \pi \: r \sqrt{h^{2} + r {}^{2} }[/tex]

Answer:

The GCF is going to be 7

Step-by-step explanation:

This Is how I find the GCF of 2 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 21, 3 × 7 = 21

The prime factorization of 28, 2 × 2 × 7 = 28

The one and THE only common factor is 7, which is going to be the GCF

Answer:

5x+9 =  109

3x+11 =71

Step-by-step explanation:

A linear pair adds to 180

5x+9  + 3x+11 =180

Combine like terms

8x + 20 =180

Subtract 20 from each side

8x +20-20 = 180-20

8x = 160

Divide each side by 8

8x/8 = 160/8

x=20

5x+9 = 5*20+9 = 100+9 = 109

3x+11 = 3*20+11 = 60+11=71

[tex] : \implies \frak{ - 1 \frac{3}{5} - ( - 2 \frac{5}{8})} \\ :\implies \frak{ - \frac{8}{5} - ( - \frac{21}{8})} \\ \\ : \implies \frak{ - \frac{8}{5} + \frac{21}{8} } \\ \\ : \implies \frak{ \frac{ - 64 + 105}{40} } \\ \\ \star \qquad \boxed{\frak{ \green{\frac{41}{40}}}}[/tex]

Answer:

4.5

Step-by-step explanation:

find the difference,square them,add and find the square root

-1-1=-2

4-(-1)=4

2^2+4^2=4+16

=20

square root of 20=4.5(2dp)

Step-by-step explanation:

15/4÷3/4

15/4×4/3 (2 reciprocal of 3 upon 4)

5/1

or 4 1/1 Answer

4,4 will be cancelled 15 will be cancelled by 3

Answer:

B

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Bh ( B is the area of the triangular base and h the height )

B = [tex]\frac{1}{2}[/tex] bh

Here b = 8 and h = 6 ( perpendicular legs )

B = [tex]\frac{1}{2}[/tex] × 8 × 6 = 4 × 6 = 24 ft² , then

V = 24 × 3 = 72 ft³ → B

2

5+(-2)=5-2=3. 3 is 2 units away from 5.

3<5 so the answer here is negative!

Answer:

-2

Step-by-step explanation:

So Maria's team skipped 8 turns, losing 8 points, putting them at -8 points. But, Maria's team also guessed correctly 6 times, putting them at -8 + 6 points.

So now we can subtract 8 from 6, or you could subtract 6 from 8(If you do the latter, make sure the answer is negative.):

-8 + 6 = -2

or

6 - 8 = -2

or

8 - 6 = 2 Then make it negative: -2

Answer:

Any fraction

Step-by-step explanation:

Example:

(2/3)² = 4/9

2/3 > 4/9

Answer:

Any Fraction

Step-by-step explanation:

Example:

(1/3)² = 1/9

1/3 > 1/9

Answer:

Five billion, two hundred forty-eight million, six hundred sixty-three thousand, seven hundred eleven.