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Answer:

x = 30°

Step-by-step explanation:

< A = 90° {Being vertically opposite angles }

Now

x + 90° + 2x = 180° (Being linear pair)

3x = 180° - 90°

3x = 90°

x = 90° / 3

x = 30°

Hope it will help :)❤

Answer:

9 units

Step-by-step explanation:

Answer:

6 units

Step-by-step explanation:

Answer:

x=-1/7

Step-by-step explanation:

Combine like terms

7x=−1

Then you divide both sides by 7 and then you get x=-1/7 (fraction)

Hope it helps :)

Answer:

(3.5, 3.25)

Step-by-step explanation:

Given the vertices of a triangle MNP as M(5,6) , N(0,3) , and P(4,-2).

Midpoint of MP is expressed as;

M(5,6) and P(4,-2).

Xmp = (5+4)/2

Xmp = 9/2

Xmp = 4.5

Ymp = (6-2)/2

Ymp = 4/2

Ymp = 2

Hence the midpoint of MP is at (4.5, 2)

Similarly for MN

M(5,6) , N(0,3)

Xmn = 5+0/2

Xmn = 5/2

Xmn = 2.5

Ymn = 6+3/2

Ymn = 9/2

Ymn = 4.5

Hence the midpoint of MN is (2.5, 4.5)

The coordinate of the midpoint of the line connecting the midpoints of sides MN and MP will be expressed as;

MN(2.5, 4.5) and  MP (4.5, 2)

M = {(2.5+4.5/2, 4.5+2/2)}

M = (7/2, 6.5/2)

M = (3.5, 3.25)

Hence the required midpoint coordinate is (3.5, 3.25)

Answer:

25 feets

Step-by-step explanation:

The scenario above can be modeled and solved Using Pythagoras :

Height to second floor = 24 feets

Horizontal Distance between foot of ladder and wall = 7 feets

Let length of ladder = x

The lengtb of ladder here is the hypotenus

Recall:

Hypotenus = sqrt(opposite² + adjacent²)

Hence,

x = sqrt(24² + 7²)

x = sqrt(576 + 49)

x = sqrt(625)

x = 25

Hence, length of ladder = 25 feets

Answer:

None

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

cause there isnt any zero

Answer: 14 Units

Step-by-step explanation: Subtract (10-2) and (11-5)

Answer:

92.6! Hope this helps.

Step-by-step explanation:

-lei

Step-by-step explanation:

30/42 = 25/6x-1

180x - 30 = 1050

180x = 1020

x = 5.67

Answer:

(3,7)

Step-by-step explanation:

Answer:i think the answer d

Step-by-step explanation:

Answer:

2nd option is the correct answer.

[tex] \frac{6x - 1}{9x - 3} [/tex]

Step-by-step explanation:

[tex] \frac{2}{3x - 1} \div \frac{6}{6x - 1} \\ \\ = \frac{2}{3x - 1} \times \frac{6x - 1}{6} \\ \\ = \frac{1}{3x - 1} \times \frac{6x - 1}{3} \\ \\ = \frac{6x - 1}{3(3x - 1)} \\ \\ = \frac{6x - 1}{9x - 3} [/tex]

Answer:

x=32°

Step-by-step explanation:

2x+3x+20=180 co interior angle

5x=180-20

x=160/5=32°

Answer:

12°

Step-by-step explanation:

a straight line adds up to 180°

(3x+20)+2x=180

3x+2x+20=180

5x+20=180

5x=180-20

5x=60

5x/5=60/5

x=12

x=12°

Answer:

10 is the answer of your question

Answer:

231.59 years

Step-by-step explanation:

To model this situation we are going to use the exponential decay function:

f(t)= a (1-b)^t

where f(t) is the final amount remaining after t years of decay

a is the final amount

b is the decay rate in decimal form

t is the time in years

For Substance A:

Since  we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r = 0.15/100 = 0.0015. Replacing the values in our function:

f(t) = a (1-b)^t

f(t) = 300 (1-0.0015)^t

f(t) = 300 (0.9985)^t equation (1)

For Substance B:

Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r=0.37/100= 0.0037. Replacing the values in our function:

f(t) = a (1-b)^t

f(t)= 500 (1-0.0037)^t

f(t)=500(0.9963)^t equation (2)

Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:

M=300(0.9985)^t equation (1)

M=500(0.9963)^t equation (2)

We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :

{M=300(0.9985)^t

{M=500(0.9963)^t

Answer:

bh

Step-by-step explanation:

Answer:

Answers are below

Step-by-step explanation:

Hour 0                 1 bacterium

Hour 1                  3 bacterium

Hour 2                 9 bacterium

Hour 3               27 bacterium

Hour 4                81 bacterium

Hour 5            243 bacterium

Hour 6            729 bacterium

After 24 hours, the number of the bacterium will reach 282,429,536,481.

B)  This table represents exponential growth because of the number of bacterium always being multiplied by 3.

C)  The reason that any number to the zero power is one is that any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.

D)  Y = 1 + 3 to the power of x

E)  The rule would change by having all of the numbers multiplied by 100 since there is 100 bacterium at Hour 0.

Answer:

2a + 7

Step-by-step explanation:

-3a + 7 +5a

subtract the negative 3 from the 5

2a + 7

Answer: it would be 2a+7

Step-by-step explanation: Hope this help :D

Answer:

quadrilateral: a four-sided shape or figure and has four striaght sides

parallelogram: four-sided plane with oppisite paraell sides

trapezoid: a quadrilateral with one pair of parell sides  

rectangle: a figure with both four stright and four right angles. It is also quadrilateral, paraellagram,  

diamond: a quadrilateral that has four sides of the same lenght and is also a parallelogram .

square: a quadrilateral with four equal sides. It is a rectangle and parallagram.

Hope that helped you! :)

Step-by-step explanation:

Answer:

8.7%

Step-by-step explanation:

the formula for  % error is = [ (approx. - exact ) / exact ] x 100

so, we know the approx value was 250 while the exact one is 230

thus; [ ( 250-230 ) / 230 ] x 100

= 8.7%

Answer: -0.75

1/8 - 1(7)/8 = -3/4= -0.75

Answer:

[tex]\frac{1}{8} -1\frac{7}{8}[/tex]

[tex]\frac{1}{8} -\frac{15}{8}[/tex]

[tex]\frac{1-15}{8}[/tex]

[tex]-\frac{14}{8}[/tex]

[tex]-\frac{7}{4}[/tex]

[tex]-1\frac{3}{4}[/tex]

Step-by-step explanation:

Answer:

8 inches cubed

Step-by-step explanation:

We get the formula in the task description:

V = s^3

The next sentence tells us s = 2in, so:

V = (2in)^3 = 8in^3

Answer:

8

Step-by-step explanation:

Formula: V = s³

Substitute: V = 2³

2³ = 2 · 2 · 2

Solve: V = 8

Answer:

90 degrees.

Step-by-step explanation:

They right ray point is on the 90 degree number and left ray is on zero so we find the difference.

90-0=90

so it measures 90 degrees.

Answer:

<ba=180 <bc=90

Step-by-step explanation:

Step-by-step explanation:

D.. all points on blue are translated 7 units downwards

Answer:

37.69cm i might be wrong, u gonna have to check

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

x2 - 3x - 10. = 0

x2 + 2x - 5x - 10 = 0

(x2 + 2x) (-5x - 10) = 0

x (x + 2) - 5 (x + 2) = 0

(x - 5) (x + 2) = 0

x - 5 = 0 x + 2 = 0

x = 5 or x = - 2.

Answer:

a=-2,4

b=1,1

c=4,3

Step-by-step explanation:

b

Answer:

4 Pints

Step-by-step explanation:

According to the scenario, calculations are as follows,

As we know, 1 gallon = 8 Pints

1 Quarts = 2 Pints

So, Amelia = 3 Gallons = 3 × 8 Pints = 24 Pints

Mason = 10 quarts = 10 × 2 Pints = 20 Pints

So, Number of more pints Amelia has = Amelia number of pints - Mason number of pints

= 24 pints - 20 pints

= 4 Pints  

Answer:

True

Step-by-step explanation:

Any value of x makes the equation true

All Real numbers

(-∞)(∞)