2a + b = 20
show your work

Answer:

2.7

Step-by-step explanation:

Let the number alex think be x

Answer = 22.7

According to the question,

x + 20 = 22.7

x = 22.7 - 20

x = 2.7

Therefore, his original number is 2.7

Plz mark me as brainliest

Have a great day

Answer:

Step-by-step explanation:

a). Since, BC is perpendicular to the plane FEDC, measure of angle BCD = 90°

By applying Pythagoras theorem in ΔBCD,

BD² = BC² + CD²

BD² = (10)² + (24)²

BD = √676

BD = 26 cm

B). Surface area of the wedge = Sum of all the surfaces of the wedge

Area of BCD = Area of AEF = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(10)(24)[/tex]

                                             = 120 cm²

Area of CDEF = Length × Width

                       = ED × CD

                       = 26 × 24

                       = 624 cm²

Area of BCFA = 10 × 26 = 260 cm²

Area of ABDE = ED × BD

                       = 26 × 26

                       = 676 cm²

Total surface area of the wedge = 2(120) + 624 + 260 + 676

                                                     = 1800 cm²

C). Volume of the triangular prism = Area of the triangular base × Height

                                                         = (Area of BCD) × DE

                                                         = 120 × 26

                                                         = 3120 cm³

d). By applying sine rule in the right triangle BCD,

sin(∠BDC) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

                 = [tex]\frac{BC}{BD}[/tex]

m(∠BDC) = [tex]\text{sin}^{-1}(\frac{10}{26})[/tex]

               = 22.6°

Answer:

x = 25

Step-by-step explanation:

A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

3x + 21y = 180°.....(1)

2x + 26y = 180°.....(2)

From equations (1) & (2)

3x + 21 y = 2x + 26y

3x - 2y = 26y - 21y

x = 5y

y = 1/5 x

Plug y = 1/5 x in equation (1)

3x + 21*1/5x = 180

15x + 21x = 180*5

(Multiplying both sides by 5)

36x = 900

x = 900/36

x = 25

Answer:

hey i think its $16,819 i'm so sorry if i get it wrong

Step-by-step explanation:

Answer:

[tex]x + 1 + x + 3 = 180[/tex]

by vertically opposite angle theorem

[tex]x + x + 1 + 3 = 180[/tex]

[tex]2x + 4 = 180[/tex]

[tex]2x = 180 - 4 = 176[/tex]

[tex]x = \frac{176}{2} [/tex]

[tex]x = 88[/tex]

have a nice day

Answer:

Weight of the flour = 5/4 pounds

Number of cups added = 4 cups

Step-by-step explanation:

Weight of the bowl = 1½ pounds

Total weight of the bowl and the flour = 2¾ pounds

Weight of the flour = Total weight of the bowl and the flour - Weight of the bowl

= 2¾ pounds - 1½ pounds

= 11/4 - 3/2

= 11-6/4

= 5/4 pounds

Weight of the flour = 5/4 pounds

If each cup of flour weighs 5/16 pound, how many cups of flour does he add

Number of cups added = 5/4 ÷ 5/16

= 5/4 × 16/5

= (5*16)/(4*5)

= 80/20

= 4

Number of cups added = 4 cups

Answer:

Your answer is D. 58

Step-by-step explanation:

x= [tex]\sqrt{(42^2+40^2)}[/tex]

Answer: x > -3

Step-by-step explanation:

Answer:

x>-3

Step-by-step explanation:

2x2=10

Step-by-step explanation:

2x2==2+2=4

4+6=10

Answer:

the first one

f(x) = x²

its making me write more

Answer: She jump ropes 7/3 or 2 1/3 of an hour every week

Step-by-step explanation: This is because she jump ropes 1/3 each day and there's 7 days in a week so 7/3 or 2 1/3(2 hours and 20 minutes)

I hope you are having a nice day!

Answer:

2 hours 33 minutes

Step-by-step explanation:

1/3 of an hour is 20 minutes

20 times 7 is 140

140 divided by 60 is 2.33 hours

so 2 hours and 33 minutes

Answer:

32

Step-by-step explanation:

add the absolute value of -14 and 18

Answer:

3.162

Step-by-step explanation:

√10 = 3.162

Answer:

Step-by-step explanation:

I hope I can use a calculator and not use logs or a type of long division!

√10 = 3.16227

The hundredth place is the 6. The next place is a 2 which does not have any effect on the 6.

Answer: 3.16

Answer:

It's 60 in

Step-by-step explanation:

P = 4s

P = 4 x 15

P = 60 in

Answer:

(x - 1)(3x + 2)

Step-by-step explanation:

By the Remainder theorem

Given expression is divisible by x - 1 then f(1) = 0

when divided by (x + 1) then f(- 1) = 2

when divided by x - 2 then f(2) = 8

Substitute x = 1, x = - 1, x = 2 into the expression , that is

a + b + c = 0 → (1)

a - b + c = 2 → (2)

4a + 2b + c = 8 → (3)

Subtract (1) from (2) to eliminate a and c

- 2b = 2 ( divide both sides by - 2 )

b = - 1

Subtract (1) from (3) to eliminate c

3a + b = 8 ← substitute b = - 1

3a - 1 = 8 ( add 1 to both sides )

3a = 9 ( divide both sides by 3 )

a = 3

Substitute a = 3, b = - 1 into (1) and evaluate for c

3 - 1 + c = 0

2 + c = 0 ( subtract 2 from both sides )

c = - 2

Then a = 3, b = - 1, c = - 2

Thus

ax² + bx + c

= 3x² - x - 2

= (x - 1)(3x + 2) ← in factored form

Answer:

35.1

Step-by-step explanation:

6.75x5.2=35.1

Answer:

3) confirmed right triangle

4) not a right triangle

Step-by-step explanation:

3) 5^2 + 12^2 = 13^2

25 + 144 = 169

169 = 169

4) 4^2 + 10^2 = 20^2

16 + 100 = 400

116 does not equal 400

9514 1404 393

Answer:

Step-by-step explanation:

The zeros are the values of t that make the factors zero.

  1 -t = 0   ⇒   t = 1

  8 +16t = 0   ⇒   t = -8/16 = -1/2

The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.

Only the positive zero is in the function's domain, so that is the only one that is meaningful.

__

When t = 0 (at the time the ball is thrown), the function value is ...

  h(0) = (1 -0)(8 +0) = 8

The ball is thrown from a height of 8 feet.

Answer:  345 cal

Step-by-step explanation:

Solution 1:

230/4 = x/6

4x = 6(230)              use cross multiply

4x = 1380

x = 345 cal

Solution 2:

Cal in 1 ounces: 230/4 = 57.5cal/ounces

Cal in 6 ounces: 57.5cal/ounces x 6 = 345 cal

Answer:

y = 2/7x  

Step-by-step explanation:

Answer:

$187.50

Step-by-step explanation:

Set up an equation

250 m/$x = 1 m/$0.75

Cross multiply

250 miles × $0.75 = 1x

$187.50 = x

Answer:

B.

Hope that helps!

Step-by-step explanation:

Answer:

B. Sometimes

Step-by-step explanation:

Hope this helps!

Answer:

16.5 feet or

about 17 feet long.

Step-by-step explanation:

A = bh

Squares have equal side lengths all around so with there being 4 sides, you will take 66 and divide by 4.

66 ÷ 4 = 16.5

So it is about 17 feet

Answer:= 293.09

Step-by-step explanation:

poop

wjadjafsbhk,feghkfgeHKfdGHKfdghfdghjkfdghsjkghkjdfsghjkfsdhSBDFD,mngFHgaEFAWWadw1232432134131341414233122

3x = 9.2 ⇒ x = 2.02000606

Answer:

X=2.02

Step-by-step explanation:

Answer:

b acute I think so ok but that was a weird quistoin

Answer:

none!

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Explanation: I searched up "what don't polynomials have"

Answer:

n=-11/18

Step-by-step explanation:

1/6=n+7/9

Change the sign and move the variable to the left hand side

-n+1/6=7/9

Change its sign and move constant to the right hand side

-n=7/9-1/6

Subtract the fractions

-n=11/18

Change the sign on both sides

n=-11/18