Please solve for the variable and then find missing angle or side lengths

Answer:

684 mm squared

Step-by-step explanation:

Very simple. It's 18mm multiplied by 38 mm.

18 mm * 38 mm = 684 mm2

Answer:

The value of x is 3

The value of m is 5.25

The value of a is 1.75

Step-by-step explanation:

I attached the picture with labels to can solve

In the 2 Δs ADE and ACF

∵ DE // CF

∴ m∠ADE = m∠ACF ⇒ corresponding angles

∴ m∠AED = m∠AFC ⇒ corresponding angles

→ By using the AA postulate of similarity

∴ The two triangles are similar

∴ Their corresponding sides have the same ratio

∴ [tex]\frac{AD}{AC}[/tex] = [tex]\frac{EA}{FA}[/tex] = [tex]\frac{DE}{CF}[/tex]

∵ AD = AB + BC + CD

∵ AB = 3, BC = 6, CD = x

∴ AD = 3 + 6 + x

∴ AD = 9 + x

∵ AC = AB + BC = 3 + 6

∴ AC = 9

∵ AE = AG + GF + FE

∵ AG = 4, GF = 8, FE = 4

∴ AE = 4 + 8 + 4

∴ AE = 16

∵ FA = AG + GF = 4 + 8

∴ FA = 12

∵ DE = 7 and CF = m

→ Substitute them in the ratio above

∴ [tex]\frac{9+x}{9}[/tex] = [tex]\frac{16}{12}[/tex] = [tex]\frac{7}{m}[/tex]

→ By using cross multiplication with the first 2 fractions

∵ 12 × (9 + x) = 9 × 16

∴ 12(9) + 12(x) = 144

∴ 108 + 12x = 144

→ Subtract 108 from both sides

∴ 108 - 108 + 12x = 144 - 108

∴ 12x = 36

→ Divide both sides by 12 to find x

∴ x = 3

→ By using cross multiplication with the second 2 fractions

∵ 16 × m = 12 × 7

∴ 16m = 84

→ Divide both sides by 16

∴ m = 5.25

In the 2 Δs ABG and ACF

∵ BG // CF

∴ m∠ABG = m∠ACF ⇒ Corresponding angles

∴ m∠AGB = m∠AFC ⇒ corresponding angles

→ By using the AA postulate of similarity

∴ The two triangles are similar

∴ Their corresponding sides have the same ratio

∴ [tex]\frac{AB}{AC}[/tex] = [tex]\frac{GA}{FA}[/tex] = [tex]\frac{BG}{CF}[/tex]

∵ AB = 3 and AC = 9

∵ GA = 4 and FA = 12

∵ BG = a and CF = m = 5.25

→ Substitute them in the ratio above

∴ [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{12}[/tex] = [tex]\frac{a}{5.25}[/tex]

→ By using cross multiplication with the second 2 fractions

∵ 12 × a = 4 × 5.25

∴ 12a = 21

→ Divide both sides by 12 to find a

∴ a = 1.75

Answer:

3

Step-by-step explanation:

3 and 1/8 is rounded down to 3

Answer:

1 5/24

Step-by-step explanation:

5/6 + 3/8

LCM of 6&8=24

(5/6)*4 =20/24

(3/8)*3=9/24

20+9/24= 29/24

QRD(Quotuient,Reminder,Divisor)

= 1 5/24

B.

Answer:

The second option, 1 5/24

Step-by-step explanation:

First off, find da flipping LCD UnU

6: 6, 12, 18, 24, 30

8: 8, 16, 24, 32, 40

We find that it is 24 UwU

5 x 4 = 20

6 x 4 = 24

5/6 - > 20/24

3 x 3 = 9

8 x 3 = 24

3/8 - > 9/24

20/24 + 9/24 = 29/24

29 - 24 = 5

29 ÷ 29 = 1

1 5/24

Answer:

Step-by-step explanation:

4c + 18 = 74​         {subtract 18 from both sides}

4c = 56               {divide both sides by number by x (4)}

 c = 14

Answer:

x > 1

Step-by-step explanation:

15 - 1 = 14

The inequality is 15 - 1 < 14, but this is incorrect. 14 can not be less than 14. In order for the left side to be less than 14, the x value (currently representing 1) should be larger than what it currently is to make the statement true.

Therefore, x>1

Answer:

GH = 49

GJ = 35

HJ = 35

Step-by-step explanation:

:::::

Answer:

1. 0.33  2. 0.16  3. o.11

Step-by-step explanation:

Answer:

61.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

it should be  (x+3)2=5

xx2=2x+5=5

5-5=0

x=2

Answer:

(x+3)2=5

2(x+3)=5

2x+2x3=5

2x+6=5

(2x+6)+(-6)=5+(-6)

2x+6-6=5-6

2x=-1

2x/2=-1/2

x=-1/2

Answer:13x

Step-by-step explanation:I had that

Answer:

I have no clue what a graphical situation is but I do know the answer to x and how to plot it

first of all the answer to x is

x<-3 1/3

So first of all for the graph its a blank circle becuase its not a greater then or equal to sign.

Always iclude 0 in graphs

make a plot out of 1/3 benchmarks

1/2, 2/3, 1, 1 1/3, etc. (but its negative instead)

Now from the -3 1/3 point

make a black circle and make a line pointing to the left

there The graph

Answer:

2 hours

Step-by-step explanation:

$115 + $5 = 120

120 x 2 = 240

Answer:

25 hours

step-by-step explanation:

240-115=125/5=25 pog

Answer:

AAA Similarity

Step-by-step explanation:

Given:

Triangles ABC and DBE

Required

Which postulate shows ABC and DBE similarity

From the question, we understand that the following transformation were done on ABC

It should be noted that, when a triangle (e.g. triangle ABC) is rotated, the length of the sides and angle measurements remain unchanged.

However, when this triangle is dilated, the sides of the triangle change, but the angles remain unchanged.

Having said that,

When ABC is rotated and dilated to form DBE, we have:

[tex]\angle A = \angle D = a[/tex]

[tex]\angle B = \angle B = b[/tex]

[tex]\angle C = \angle E = c[/tex]

[See Attachment]

Hence, the postulate that answers this question is AAA (Angle-Angle-Angle).

Answer:

-0.25

Step-by-step explanation:

-8= 2/x

multiply both sides by x -> -8x =2

divide both sides by -8 -> x=2/-8

Ans= -1/4 = -0.25

Answer:

steps below

Step-by-step explanation:

f(x) = -2/5 * (x+1)² + 7

Parent function: f(x) = x²

Transformation: Vertical shift up 7 units and horizontal shift left 1 unit

reflect about the x axis (+) : parabola faced downward

compression:(+) *2/5

Answer:α

=

71

°

:

explain:

From trigonometry we have:

cos

α

=

7

21

7

=

21

cos

(

α

)

and:

α

=

a

r

c

cos

(

7

21

)

=

70.5

≈

71

∘

[tex]\boxed{\boxed{\pink{\bf\leadsto The \ domain \ of \ x \ will \ be \ (-\infty , +\infty) \ that \ is\ all \ real .}}}[/tex]

Firstly set the argument in which (x² + 3) is Greater than 0 , to see where the expression is defined .

[tex]\bf \implies (x^2+3) > 0 [/tex]

Now ,let's simplify this

[tex]\bf \implies (x^2+3)>0 \\\\\bf\implies x^2 > 0 - 3 \\\\\bf\implies\boxed{\red{\bf x^2 > (-3) }}[/tex]

Since the left side has even Power , it is always positive for all real numbers.

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

[tex]\underline{\green{\bf Interval\ Notation :- }}[/tex]

[tex]\bf ( - \infty , +\infty) [/tex]

That is [tex]\bf \{ x | x \in \mathbb{R} \} [/tex]

Answer:Lin

Step-by-step explanation: because it takes him less time for the mile

hi;augh4 vhaugawhfdb

Step-by-step explanation:

Answer:

After two days, 240 degrees was water.

Step-by-step explanation:

24 hours = 1 day

72 hr/24 hr = 3 days

Therefore, one full rotation takes 3 days.

1 rotation = 360 degrees

360 degrees/ 3 days = 120 degrees per day

120 degrees x 2 days = 240 degrees

240 degrees was watered after two days

Answer:

603.2cm²

Step-by-step explanation:

SAshpere=4πr²

SAhemi=2πr²+πr²

2πr²+πr²=3πr²

3×π×8²=192π

=603.2cm²

Answer:

Step-by-step explanation:

1. 3x+4y=12.5

  5x+1y=13.75

Answer:

1 pound of apple costs $2.50

1 pound of strawberries costs $1.25

Step-by-step explanation:

System of Equations

Let's define the following variables:

x = cost of 1 pound of apples

y = cost of 1 pound of strawberries

.........................................

Marcus purchased 3 pounds of apples and 4 pounds of strawberries for a total of $12.50. Thus:

3x + 4y = 12.50       [1]

Shannon purchased 5 pounds of apples and 1 pound of strawberries for a total of $13.75, thus:

5x + y = 13.75       [2]

We need to solve the system of the equations [1] and [2].

Solving for y in [2]:

y = 13.75 - 5x       [3]

Substituting in [1]

3x + 4(13.75 - 5x) = 12.50

Operating:

3x + 55 - 20x = 12.50

-17x = -55 + 12.50 = -42.50

Dividing by -17:

x = -42.50/(-17)

x = 2.5

Substituting in [3]:

y = 13.75 - 5*2.5

y = 1.25

Solution:

1 pound of apple costs $2.50

1 pound of strawberries costs $1.25

x + (x + 2) + 38 = 180

2x + 40 = 180

2x = 140

x = 70

Answer:

39°

Step-by-step explanation:

102 + 39 = 141

180 - 141 = 39

Answer:

298

Step-by-step explanation:

Answer:

C) 10/100

Step-by-step explanation:

1/10

To change it into a different fraction we can multiply, and since we want it to get the denominator to 100, we multiply by 10, because 10 x 10 = 100.

1 x10 10

- -

10 x10 100

Answer:

x = 2/11

Step-by-step explanation:

1 ÷ 11/2 = x

1 · 2/11 = x (Used the opposite reciprocal and changed to multiplication. This is the same as dividing with the original fraction.)

2/11 = x

Answer:

[tex]1 \div \frac{11}{2} = x \\ \frac{1}{ \frac{11}{2} } = x \\ x = \frac{2}{11} \\ thank \: you[/tex]

Answer:

D. Christy saved $3 per week more than Kevin.

Step-by-step explanation:

We already know how much Christy saves per week, because of the equation y = 26x. She saves $26 per week.

To find Kevin's per week savings, divide y by x. I'll do (6, 138) as an example.

138 / 6

What multiple of 60 is closest to 138 without going over. That's 120.

138 - 120 = 18

Now we know the constant (k) is greater than 20.

18 / 6

6 goes into 18 three times.

20 + 3 = $23 per week.

$23/week is less than $26/week, so to say Kevin earned more than Christy in one week is wrong. As a result, A and C are out.

Now subtract 23 from 26 to get a $3 per week difference, which is D.

Answer:

x = q - 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

x + 3 = q

Step 2: Solve for x

Answer:

c 44

Step-by-step explanation:

Answer: 44

55^2 minus 33^2 = radical 1936 which equals to 44 because 44^2 is.. 1936