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Strike441 [17]
3 years ago
9

Use angle ADB and angle EDF to write and solve an equation to find the value of x

Mathematics
2 answers:
-Dominant- [34]3 years ago
7 0

Answer:

x = 11

Step-by-step explanation:

Since they are vertical angles, they are congruent to each other and therefore we can set them equal to each other to solve.

4x + 11 = 5x

x = 11

tangare [24]3 years ago
7 0

Answer:

4x+11=5x

x = 11

Step-by-step explanation:

Set angle ADB an angle EDF equal to each other because they are vertical angles.

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The ratio of the width to the length of a painting is 3 to 7. If the painting is 42 in. long how wide is it
belka [17]

If length is 42 inches, then width is 18 inches.

Step-by-step explanation:

We are given ratio of width to the length of a painting i.e 3 to 7. If the painting is 42 inches long, then how wide it is?

Solving:

\frac{width}{length}=\frac{width}{length}\\ \frac{3}{7}=\frac{w}{42}\\  Cross\,\,multiply:\\3*42=w*7\\126=w*7\\w=\frac{126}{7}\\w=18

So, If length is 42 inches, then width is 18 inches.

Keywords: Ratio

Learn more about Ratio at:

  • brainly.com/question/9880052
  • brainly.com/question/10781917
  • brainly.com/question/2707032

#learnwithBrainly

8 0
3 years ago
Express this is scientific notation
Vitek1552 [10]
Place the decimal point right after the first nonzero digit, which is 3. 

So you'll go from this 0.003045 to this 3.045 after this move.
 
Now ask yourself: "how many spots must I move the decimal point to get back to 0.003045?"

The answer is "3 spots to the left"

The exponent of the final answer is -3
The negative indicates "move left" and the 3 tells us how many places to move the decimal

Therefore, 0.003045 = 3.045 \times 10^{-3}

Answer: Choice C)
This is assuming you meant to write the -3 as an exponent
6 0
3 years ago
Write the equation of the line that passes through the points (2,0) and (1,-2)
Darya [45]

Answer:

y

=

2

x

−

1

Explanation:

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

m

=

y

2

−

y

1

x

2

−

x

1

where

m

is the slope and the x and y terms are for the points:

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

For this problem the slope is:

m

=

3

−

−

1

2

−

0

m

=

3

+

1

2

m

=

4

2

m

=

2

Now, selecting one of the points we can use the point slope formula to find the equation.

The point slope formula is:

y

−

y

1

=

m

(

x

−

x

1

)

Substituting one of our points gives:

y

−

−

1

=

2

(

x

−

0

)

y

+

1

=

2

x

Solving for

y

to put this in standard form gives:

y

+

1

−

1

=

2

x

−

1

y

+

0

=

2

x

−

1

y

=

2

x

−

1

Answer linky

=

2

x

−

1

Explanation:

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

m

=

y

2

−

y

1

x

2

−

x

1

where

m

is the slope and the x and y terms are for the points:

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

For this problem the slope is:

m

=

3

−

−

1

2

−

0

m

=

3

+

1

2

m

=

4

2

m

=

2

Now, selecting one of the points we can use the point slope formula to find the equation.

The point slope formula is:

y

−

y

1

=

m

(

x

−

x

1

)

Substituting one of our points gives:

y

−

−

1

=

2

(

x

−

0

)

y

+

1

=

2

x

Solving for

y

to put this in standard form gives:

y

+

1

−

1

=

2

x

−

1

y

+

0

=

2

x

−

1

y

=

2

x

−

1

Answer link

4 0
2 years ago
When a bactericide is added to a nutrient broth in which bacteria are​ growing, the bacteria population continues to grow for a​
baherus [9]

Answer:

a)  1296 bacteria per hour

b) 0 bacteria per hour

c) -1296 bacteria per hour

Step-by-step explanation:

We are given the following information in the question:

The size of the population at time t​ is given by:

b(t) = 9^6 + 6^4t-6^3t^2

We differentiate the given function.

Thus, the growth rate is given by:

\displaystyle\frac{db(t)}{dt} = \frac{d}{dt}(9^6 + 6^4t-6^3t^2)\\\\= 6^4-2(6^3)t

a) Growth rates at t = 0 hours

\displaystyle\frac{db(t)}{dt} \bigg|_{t=0}= 6^4-2(6^3)(0) = 1296\text{ bacteria per hour}

b) Growth rates at t = 3 hours

\displaystyle\frac{db(t)}{dt} \bigg|_{t=3}= 6^4-2(6^3)(3) = 0\text{ bacteria per hour}

c) Growth rates at t = 6 hours

\displaystyle\frac{db(t)}{dt} \bigg|_{t=6}= 6^4-2(6^3)(6) = -1296\text{ bacteria per hour}

3 0
3 years ago
What are the rate of changes for
astraxan [27]
<span>39 & 16.5 = -22.5
30 & 12.4 = -17.6
28 & 10.4 = -17.6
19 & 10.3 = -8.7
23 & 11.2 = -11.8
if the values are y values you will subtract them from each other to get the numerical value and because they all go from a larger number to a smaller number the rate is a negative. if they were from a smaller value to a larger value teh rates of change would be positive.
</span>
3 0
3 years ago
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