2 3/10x-5/7y-4 5/6y-2 4/5x

Answer:

x = 70°, y = 110° , z = 85°

Step-by-step explanation:

∠ BEA and ∠ CDA are corresponding angles and congruent , then

x = 70°

x and y are adjacent angles and sum to 180°

x + y = 180°

70° + y = 180° ( subtract 70° from both sides )

y = 110°

∠ ABE and ∠ ACD are corresponding angles and congruent , then

z = 85°

Answer:

Inverse variation equation:

If y = 2, x = 9, find k:

(a)

Equation of this function:

(b)

x = 12, y = ?

Answer:   x = -5

Step-by-step explanation:

Solve equation [2] for the variable  x

Plug this in for variable  x  in

Solve equation [1] for the variable  y  

Answer:

21b+x

Step-by-step explanation:

Answer:21b+x

Step-by-step explanation:

i got u

Answer: [tex]770,000[/tex]

Step-by-step explanation:

Given

The present population of bacteria is [tex]1,92,500[/tex]

It doubles in every 238 minutes

So, after 238 minutes it is

[tex]\Rightarrow 192,500\times 2=385000[/tex]

After another 238 minutes i.e. 476 minutes from starting, they becomes

[tex]\Rightarrow 385000\times 2=770,000[/tex]

Answer:

A' = 3A

Step-by-step explanation:

The area of a triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h[/tex]

Where

b is base and h is height

If height is tripled, h' = 3h

New area,

[tex]A'=\dfrac{1}{2}\times b\times h'\\\\=\dfrac{1}{2}\times b\times 3h\\\\=3\times \dfrac{1}{2}\times b\times h\\\\=3A[/tex]

So, the new area becomes 3 times the initial area.

Answer:

g(x) = e^(x + 2) + 2

Step-by-step explanation:

First, let's describe the shifts.

Vertical shift.

For a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

If N is positive, then the shift is upwards.

If N is negative, then the shift is downwards.

Horizontal shift.

For a function f(x), a horizontal shift of N units is written as:

g(x) = f(x - N)

If N is positive, the translation is to the right

If N is negative, the translation is to the left.

Now let's solve the question.

f(x) = e^x

First, we have a vertical shift up of 2 units, then:

g(x) = f(x) + 2

Now we have a shift to the left of 2 units:

g(x) = f(x - (-2)) + 2

g(x) = f(x + 2) + 2

Then:

g(x) = e^(x + 2) + 2

Answer:

(2,8)

x = 2

y = 8

Step-by-step explanation:

The steps are shown in the picture

Answer:

+1

Step-by-step explanation:

Each Proton is +1

Each Neutron is 0

Each Electron is -1

1+1+1+0+0+0+0-1-1=1

Answer:

x = -13

Step-by-step explanation:

Step 1: Rearrange terms

9-2x=35

-2x+9=35

Step 2: Subtract from both sides of the equation

-2x+9-9=35-9

Step 3: Simplify

-2x+0=26

-2x=26

Step 4: Divide both sides of the equation by the same term

-2x/-2 = 26/-2

Step 5: Simplify

x = 26/-2

x=-13

Answer:

4/3

Step-by-step explanation:

⅔ + ⅔ = 4/3

Answer:

22

Step-by-step explanation:

What you need to do to find the base is divide the area by the height, which would be 330/15! Hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

x = 3.58 (2 d.p.)

Step-by-step explanation:

Given equation:

[tex]e^{4x-5}-7=11243[/tex]

Add 7 to both sides:

[tex]\implies e^{4x-5}-7+7=11243+7[/tex]

[tex]\implies e^{4x-5}=11250[/tex]

Take natural logs of both sides:

[tex]\implies \ln e^{4x-5}=\ln 11250[/tex]

[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]

[tex]\implies (4x-5)\ln e=\ln 11250[/tex]

As ln(e) = 1:

[tex]\implies 4x-5=\ln 11250[/tex]

Add 5 to both sides:

[tex]\implies 4x-5+5=\ln(11250)+5[/tex]

[tex]\implies 4x=\ln(11250)+5[/tex]

Divide both sides by 4:

[tex]\implies \dfrac{4x}{4}=\dfrac{\ln(11250)+5}{4}[/tex]

[tex]\implies x=\dfrac{\ln(11250)+5}{4}[/tex]

Using a calculator:

[tex]\implies x=3.582030852...[/tex]

Therefore:

[tex]\implies x=3.58\:\: \sf (2 \: d.p.)[/tex]

Learn more about log laws here:

https://brainly.com/question/28016999

https://brainly.com/question/27977096

Answer:

B=10^18

Step-by-step explanation:

A=10*log(B)

180=10*log(B)

18=log(B)

10^18=10^log(B)

10^18=B

Therefore, B=10^18

Answer:

The extension of the 6-kg load is 3.75 cm

Step-by-step explanation:

4/2.5 = 6/x

Cross multiply:

4x = 15

15/4 = x

x = 3.75

Answer:

5:6

Step-by-step explanation:

1: Minus 11 (all flowers) by 6 (roses) = 5

2: Put daisies before roses, because it says daises to roses.

3: Your answer should be 5:6

Ur welcome

Answer:

the number represent the opposite of E is 3

Answer:

equilateral

Step-by-step explanation:

all angles are the same size. Has to be equilateral

Answer:

18 ÷ (-2) = -9

Step-by-step explanation:

18 ÷ (-2) = -9 is the least possible quotient.

To meet the requirement, we should divide the biggest positive number by smallest negative number

Answer:

4 as a fraction is 2/5. Here you can submit another decimal number for us to convert to a fraction. Check out the next decimal number on our list that we converted to a fraction.

Step-by-step explanation:

pls mark me brainless to feed my frogs

Answer:

2/5

Step-by-step explanation:

Answer: 62

hope this helps :)

Answer:

When 2 lines are parallel, the sum of interior corresponding angles = 180

120 + b = 180

b = 180 - 120 = 60

a + 30 = 180

a = 180 - 30 = 150

Answer:

Answer is x= 1/35

Step-by-step explanation:

......

Answer:

10x^2+14x-48

Step-by-step explanation:

5x*2x=10x^2

5x*6=30x

-8*2x=-16x

-8*6=48

combine them and you'll get 10x^2+14x-48

Answer:

24x-48

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

5x*2x=10x

5x*6=30x

-8*2x=-16x

-8*6=-48

40x-16x=24x

24x-48

Answer:

hi

Step-by-step explanation:

6a+5a= -11

11a= -11

a= -11/11

a= -1

hole it helps

have a nice day