Jack is 3 times as old as Lacy. 9 years ago the sum of their ages was 22 . How old are they now?

Answer:

adjacent

Step-by-step explanation:

share the same side

Answer:

adjacent

Step-by-step explanation:

[tex]======================================[/tex]

In order to solve this equation, we should first subtract 3 from both sides:

[tex]\pmb{2x=12-3}[/tex]

Which equals

[tex]\pmb{2x=9}[/tex]

Divide both sides by 2

[tex]\pmb{x=\displaystyle\frac{9}{2} }[/tex]

[tex]======================================[/tex]

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

If you are trying to find slope this is how you solve it.

Step-by-step explanation:

2x+3=12

-2x       -2x

3=-2x+12

÷3  ÷3   ÷3

y=-2/3x+4

So if you are trying to find the slope it is -2/3x and the y intercept is 4.

[tex]x^2+2x-3=0\\\\\implies x^2 +3x -x -3 =0\\\\\implies x(x+3) -(x+3)=0\\\\\implies (x-1)(x+3)=0\\\\\implies x =1 ~ \text{or}~ x = -3[/tex]

Answer:

6 x 8 = 48

Step-by-step explanation:

Answer:

two

Step-by-step explanation:

the two "words" Bob can make using the three letters t, o, and a are;

oat and tao

hope this helps

Answer:

82 ft²

Step-by-step explanation:

Area of the patio:

5 x 9 =45

Area of the walkway:

2 x 8 =16

Area of the garden:

3 x 7 =21

Total:

45+16+21 = 82

Answer:

2 and 6

Step-by-step explanation:

Answer:

Explanation:

⇒ m∠2 = 130°

Then,

⇒ m∠4 = 130° ( vertically opposite angles )

m∠1  + m∠2  + m∠3  + m∠4 = 360°

2(m∠1) = 360° - 130° * 2

⇒ m∠1 = 50°

⇒ m∠3 = 50°

Answer:

m∠1 = 50°

m∠3 = 50°

m∠4 = 130°

Step-by-step explanation:

Vertical Angle Theorem:  When two straight lines intersect, the opposite vertical angles formed are always equal (congruent) to each other.

⇒ m∠1 = m∠3   and   m∠2 = m∠4 = 130°

Linear pair:  Two adjacent angles which sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ m∠3 + m∠4 = 180°

⇒ m∠1 + m∠130° = 180°

⇒ m∠1 = 50°

As m∠1 = m∠3 then m∠3 = 50° also

Answer:

MQ = 16.4

By the Parallelogram Diagonals Theorem , MP = PQ

So MQ = 2 · MP

Step-by-step explanation:

Parallelogram Diagonals Theorem

The diagonals of a parallelogram bisect each other, i.e. they divide each other into two equal parts.

P is the point of intersection of the diagonals.

Therefore, MP = PQ and LP = PN

If MP = 8.2, then PQ = 8.2

⇒ MQ = 8.2 + 8.2 = 16.4

Answer:

246 sqft

Step-by-step explanation:

To find the area of the outer rectangle, add 2(3) to 15 and 20. 15 turns into 21 and 20 turns to 26. Next, do 21 x 26 to find the whole area (which is 546). The area of the inner rectangle is 20 x 15 (which is 300). Finally, do 546 - 300 which is 246.

Answer:

I think it maybe 134.2

because when u like try to to multiply and sy

Check the picture below.

[tex]\textit{Sum and Difference Identities} \\\\ sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(255^o)\implies sin(135^o+120^o) \\\\\\ sin(135^o)cos(120^o)~~ + ~~cos(135^o)sin(120^o) \\\\\\ \left( \cfrac{\sqrt{2}}{2} \right)\left( -\cfrac{1}{2} \right)~~ + ~~\left( -\cfrac{\sqrt{2}}{2} \right)\left( \cfrac{\sqrt{3}}{2} \right)\implies -\cfrac{\sqrt{2}}{4}~~ - ~~\cfrac{\sqrt{6}}{4}\implies \cfrac{-2-\sqrt{6}}{4}[/tex]

Answer:

x = 9 and y = 15

Step-by-step explanation:

this is the answer because each side is equivalent to the parallel line so y would be whatever is across from it

Answer:

y=15

x=9

Step-by-step explanation:

they are parallel and equal to the opposite sides

Answer:

The answer to this equation is 2

Step-by-step explanation:

x-2 = 3(2-x) \4

x-2= 6 -3x/4

cross multiply

4(x-2)= 6-3x

4x-8 = 6-3

collect like terms

4x+3x = 6+8

7x = 14

divide both sides by 7

7x/7= 14/7

x = 2

Answer:

The total number of voters = 10725

Step-by-step explanation:

The total number of votes cast was 5 + 8

The no votes ratio is 8/ 13

This question is a a proportion question.

A proportion question is 2 ratios equal to other. Three of the parts of the ratios are known and you are asked to find the fourth. In this question the no votes are known to be 8 and the total is 13.

The total no votes = 6600. So the three parts are known are

8/13 = 6600/x               Cross multiply

8x = 13*6600                Combine the right.

8x = 85800                   Divide by 8

8x/8 = 85800/8            

x = 10725

The total number of voters = 10725

Hey there!

Answer: 25%

[tex] \rightarrow \: (\sf{ \frac{250}{1000} ) \times 100}[/tex]

[tex] \rightarrow \: ( \sf{0.25) \times 100}[/tex]

[tex] \rightarrow \: \sf{ = 25\%}[/tex]

Answer:

25%

Step-by-step explanation:

the quantities must have the same units

1 Kg = 1000 grams

express the quantities as a fraction and multiply by 100%

[tex]\frac{250}{1000}[/tex] × 100% = 0.25 × 100% = 25%

The equation represents the value of the collection after 2 years is V = 140(1 + 0.15)^2.

When the value of an asset appreciates,it means that the price of the item increases with the passage of time.

The formula for calculating future value with appreciation is:

FV = P (1 + r)^n

V = 140(1 + 0.15)^2.

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

Step-by-step explanation:

V=140(1+0.15)

2

Answer:

18x

Step-by-step explanation:

j=18

k=x

18xor18

I do not understand this question

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]

Let's solve for x ~

[tex]\qquad \sf  \dashrightarrow \:5 \sin(x) = 3 \sin(x) + \sqrt{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:5 \sin(x) - 3 \sin(x) = \sqrt{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) = \sqrt{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sin(x) = \sqrt{2} \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: \sin(x) = \frac{1}{ \sqrt{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 45 \degree \: \: or \: \: \frac{\pi}{4} \: rad[/tex]

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\dfrac{\sin x + \cos x}{\cos^2 x - \sin^2 x}\\ \\\\=\dfrac{\sin x + \cos x}{(\cos x + \sin x )\\\\(\cos x - \sin x)}\\\\\\=\dfrac{1}{\cos x - \sin x}[/tex]

Answer:

13-10=3 hence, the Q of ans is 3

Answer:

calculator

Step-by-step explanation:

Answer:

The answer is D :)

Step-by-step explanation:

I think this because when you multiply the unit value of PR, 4, by 3 it equals 12, which is TVs, value. If you do the same to QP's unit value, 3, by 3 again, you will get UT's unit value, 9.

Have an amazing day!!

Please rate an dmark brainliest!!

Answer:

D) 2

Step-by-step explanation:

it think it's D because the size of the triangle was doubled

2 was matched to 4 and

1 was matched to 2

Answer:

The evening walk is shorter.

Step-by-step explanation:

There are two ways you could solve this:

Fractions:

2/3 = 4/6    4/6>3/6

Converting into Decimals:

2/3=0.67

3/6=0.5

2/3>3/6

I hope this helps.

Hope this helps. Good luck

Answers:

jamal has 30 stickers in total.

chris has 7 stamps in each group.

Step-by-step explanation:

1. use multiplication, 6*5=30

2. use division, 56/8=7

hope this helped! ♡

Answer:

jamal has 30 stickers in total.

chris has 7 stamps in each group.

Step-by-step explanation:

Just have a good day

The dimension of the unknown variable x of the deck is equal to 14 feet in length.

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).The opposite sides of a rectangle are equal and parallel.

Given in the question is a diagram showing a plan for deck. From the data given, we can write -

Area of Deck = 511 ft.

The value of x can be found out by subtracting the area of the deck from the  area of rectangle having dimensions of length 29 ft and width (16 + 4) = 20 ft. The remaining area will be equated to the sum of the area of rectangle at top right corner having dimensions of length 9 ft and width 4 ft and the area of triangle at lower right corner.

Firstly, we will find the dimensions of the triangle at the lower right. The height of the triangle will be = (20 - 9) ft = 11 ft. The base of the triangle will be = 29 - ( x + 9) ft = (20 - x) ft. Now -

[Area of Rectangle (29 x 20)] - [Area of Deck] = [Area of Rectangle (9 x 4) + Area of triangle (lower right)].

Mathematically -

580 - 511 = 9 x 4 + 1/2 × (20 - x) × 11 = 69

36 + 5.5(20 - x) = 69

36 + 110 - 5.5x = 69

146 - 69 = 5.5x

5.5x = 77

x = 14 ft

Therefore, the dimension of the unknown variable x of the deck is equal to 14 feet.

To solve more questions on Area of Shapes, visit the link below-

https://brainly.com/question/28437831

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