HELPPP Provide the missing statements and reasons for the following proof:

Given: Line m is parallel to line n.
Prove: ∠1 is supplementary to ∠2.

Answer:

Recall each angle in a rectangle is 90 degrees.  So to find the other portion, subtract the given angle from the 90 degrees.

Step-by-step explanation:

The missing measures of the angles are as follows:

m∠BCD = 90°

m∠ABD = 16°

m∠CBE = 74°

m∠ADE = 74°

m∠AEB = 148°

m∠DEA = 32°

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, we have,

to determine the measures of the angles:

The figure that completes the question is added as an attachment

From the figure of the rectangle, we have:

m∠BDC = 16°

A rectangle has four (4) interior angles that are 90 degrees each.

This means that

m∠ADE = 90 - 16

m∠ADE = 74°

Also, we have:

m∠ABD = m∠BDC = 16° by the alternate interior angles

By the complementary angle, we have:

m∠CBE = 90 - 16 = 74°

By the alternate interior angles, we have

m∠ADE = m∠CBE = 74°

Solving further, we have the following equations:

m∠AEB = 180 - 2(16)

m∠AEB = 148°

m∠DEA = 180 - m∠AEB

m∠DEA = 180 - 148

m∠DEA = 32°

Hence, the measure of the angle DEA is 32 degrees

m∠BCD = 90°

m∠ABD = 16°

m∠CBE = 74°

m∠ADE = 74°

m∠AEB = 148°

m∠DEA = 32°

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Answer:

m^2+10m+21

Step-by-step explanation:

Distribute:

m times m is m^2

m times 3 is 3m

7 times m is 7m

7 times 3 is 21

=> m^2+3m+7m+21

Add 3m and 7m

=> m^2+10m+21

Thus the equation is

m^2+10m+21

Hope this helps!

(m + 7)(m + 3)

= m(m + 3) + 7(m + 3)

= m² + 3m + 7m + 21

= m² + 10m + 21

____

Hope it helps ⚜

m∠BCD= m∠ACB ÷ 2 = 134.76° ÷ 2 = 67.38°

Ok done. Thank to me :>

We have been given that a person places $6340 in an investment account earning an annual rate of 8.4%, compounded continuously. We are asked to find amount of money in the account after 2 years.

We will use continuous compounding formula to solve our given problem as:

, where

A = Final amount after t years,

P = Principal initially invested,

e = base of a natural logarithm,

r = Rate of interest in decimal form.  

Upon substituting our given values in above formula, we will get:

Upon rounding to nearest cent, we will get:

Therefore, an amount of $7499.82 will be in account after 2 years.

Answer:

5124.83

Step-by-step explanation:

r=5.7\%=0.057

r=5.7%=0.057

Move decimal over two places

P=4080

P=4080

Given as the pricipal

t=4

t=4

Given as the time

V=Pe^{rt}

V=Pe  

rt

V=4080e^{0.057( 4)}

V=4080e  

0.057(4)

Plug in

V=4080e^{0.228}

V=4080e  

0.228

Multiply

V=5124.8281\approx 5124.83

V=5124.8281≈5124.83

Answer:

B

Step-by-step explanation:

1/4 yard long, area is 1/3 and we have to find the width so:

1/3(area) divided by 1/49(length) would get you your width

Answer:

17.41 Dollars

Step-by-step explanation:

First, you take the discount, which is 2 dollars, so now the cost without any additional costs is 22 dollars. Next, find 8 percent of 22 by multipling 22*0.08 and then you get 1.76. Subtract that from 22 and 20.24. Then take 14 percent of 20.24 by multiplying it by 0.14, which you get 2.8336. Round that down and you get 2.83. Subtract that from that and you get 17.41.

Answer:

12 - 5 is 7 so the line would be 7 centimeters

Step-by-step explanation:

Answer:

the answer is 7

Step-by-step explanation:

12-5=7

Half of 72 is 36. If you divided 36 by 4, you would get 9. So, s = 9 and means that it takes 9 seconds for the rock to be sunk half way.

Answers:

1. 4/7

2. DIVIDE – 3 ½ ÷ ¼ = 14 hamburgers

3. 2 5/6

4. 3

5. 6 9/26

Answer:

19/15 is the answer

The range is the y value of where the dots are located.

Answer: (3,4,5,6)

According to the midsegment theorem, the midsegments are parallel to

and half the length of the opposite side.

The completed statement are as follows;

Reasons:

From the given graph of ΔABC, we have;

Coordinates of the points A, B, and C are; A(-5, 2), B(1, -2), and C(-3, -6)

The coordinates of the point D and E on [tex]\mathbf{\overline{DE}}[/tex] are; D(-4, -2), and E(-2, 0)

The coordinates of the point F is; F(-1, -4)

[tex]\displaystyle Slope \ of \ line \ \overline{AC} = \mathbf{\frac{(-6) - 2}{-3 - (-5)} = \frac{-8}{2}} = -4[/tex]

[tex]\displaystyle Slope \ of \ line \ \overline{EF} = \frac{0 - (-4)}{-2 - (-1)} = \frac{4}{-1} = -4[/tex]

Length of EF  = √((-1 - (-2))² + (-4 - 0)²) = √(17)

Length of AC = √((-3 - (-5))² + (-6 - 2)²) = √(4 × 17) = 2·√(17)

Therefore, we have;

Because the slope of [tex]\mathbf{\overline {EF}}[/tex] and [tex]\mathbf{\overline {AC}}[/tex] are both , -4, [tex]\overline {EF}[/tex] ║ [tex]\overline {AC}[/tex]. EF = [tex]\underline{\sqrt{17}}[/tex], and AC

= [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex],. Because [tex]\underline{\sqrt{17}}[/tex] = [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex], [tex]EF =\mathbf{ \frac{1}{2} AC}[/tex]

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Answer:

2nd question 4y is a coefficient

Step-by-step explanation:

4y^2 - 18y + 2

4 is the coefficient 18 is also a coefficient, because of the y, 2 is the constant. when a number has a variable, or a letter, it is a coefficient. 4y^2 is a term, 18y is a term, and 7 is a term. 3 terms with a coefficient of 4. i hope you get it right

Answer:

[tex]x=-10[/tex]

Step-by-step explanation:

This deals with negative exponents.

[tex]x^{-2}=\frac{1}{x^2}[/tex]

27 and 9 are both powers of 3, so we need to find a way to make both of these into a base 3.

9 is easy, thats just:

[tex]9=3\times3=3^2[/tex]

1/27 is a little more difficult. Start with 27:

[tex]27=9\times3=3\times3\times3=3^3[/tex]

and because its a 1/27, that exponent has to be negative.

[tex]3^3=27\\3^-^3=\frac{1}{27}[/tex]

Now we can get both of them to base 3, so do that in the given equation:

[tex]3^{(-3)\times(4-x)}=3^{(2)\times(2x-1)}[/tex]

Same as last time, the bases can be canceled out as the exponents have to be equal for this equation to be true.

[tex]3^{(-3)\times(4-x)}=3^{(2)\times(2x-1)}\\(-3)\times(4-x)=(2)\times(2x-1)[/tex]

Finally, solve for x:

[tex]-3(4-x)=2(2x-1)\\-12+3x=4x-2\\-10+3x=4x\\x=-10[/tex]

[tex]2(2) +x =4\\\\\implies 4 +x =4\\\\\implies 4 +x -4 = 4-4\\\\\implies x = 0[/tex]

Answer:

x = 0

Solve solution:

Question:

2(2) + x = 4

Multiply:

2 x 2 + x 4

Cancel equal terms:

4 + x = 4

Answer: x = 0

Answer:

Step-by-step explanation:

Convert the given equation into slope-intercept form:

The slope is -2, the y-intercept is 2/3

Correct choice is A

⇒ 3(y - 2) + 6(x + 1) - 2 = 0

⇒ 3y - 6 + 6x + 6 - 2 = 0

⇒ 3y = -6x + 2

⇒ y = (-6x + 2)/3

⇒ y = -2x + ⅔

Slope = -2

Y - intercept = +⅔

Option (a) is the correct answer .

Answer:

$3800

Step-by-step explanation:

30 x 2 = 60

60 + 3 = one container

60 containers = 63 x 60

3780 + 20

3800

Answer:

36

Step-by-step explanation:

k(-3) = 2(-3)² - 5(-3) + 3

= 18 - (-15) + 3

= 33 + 3

= 36

Answer:

[tex]x - 3\sqrt{3} [/tex]

Study hard!

Brainliest please thank you!

Answer:

38%

Step-by-step explanation:

20%-30%, 100%-30%, 20%-6%

80%-40%, 100%-40%, 5%-2%, 80%-32%

32+6=38%

Answer:

47

Step-by-step explanation:

20*47= 940

940*5=4,700

47*100=4,700

Step-by-step explanation:

1.

$4 for 8 days. that means $4 on each and every day, 8 times.

so, in total that is 4 × 8 = $32

that is how multiplications work.

m×n means that m is added n times (or vice versa and n is added m times).

2.

similar here.

$25 each time the customer missed a payment. and he missed 4 times that year.

the bank returned the fees for all 4 occasions. so,

returned money = 25 × 4 = $100

Answer:

2055 is the answer.

Step-by-step explanation:

If x represents the number of minutes and y represents the hiker elevation in feet.

y = 8.19x + 663

y = 8.19(170) + 663

y = 1392.3 + 663

y = 2055.3

Hope it helps:)

Answer:

:)

Step-by-step explanation:

Step-by-step explanation:

A. monomial

B. polonomial

hope it helps.

stay safe healthy and happy.

Answer:

A= monomial

B= trinomial

Answer:

x = 19

Step-by-step explanation:

3x - 3 = 6(x - 10)

3x - 3 = 6x - 60 Use dist property

Subtract 3x from both sides

-3 = 3x - 60

Add 60 to both sides

57 = 3x

Divide both sides by 3

19 = x

The margin of error of the random selection is 0.29

The given parameters are:

[tex]n = 320[/tex] --- the sample size

[tex]\sigma = 2.9[/tex] --- the standard deviation

[tex]\bar x = 24[/tex] --- the mean

[tex]\alpha = 90\%[/tex] --- the confidence level.

The margin of error (E) is calculated as follows:

[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]

So, we have:

[tex]E = z \times \sqrt{\frac{3.2^2}{320}}[/tex]

[tex]E = z \times \sqrt{\frac{10.24}{320}}[/tex]

The z-value for 90% confidence level is 1.645.

Substitute 1.645 for z

[tex]E = 1.645 \times \sqrt{\frac{10.24}{320}}[/tex]

[tex]E = 1.645 \times \sqrt{0.032}[/tex]

Take square roots

[tex]E = 1.645 \times 0.1789[/tex]

Multiply

[tex]E = 0.2943[/tex]

Approximate

[tex]E = 0.29[/tex]

Hence, the margin of error is 0.29

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Answer:

[tex]6y = 42\\y = 7[/tex]

Step-by-step explanation:

Answer:

7/12

Step-by-step explanation:

3/4 - 1/6

18/24 - 4/24 = 14/24

14/24 = 7/12

Answer:

[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}- \frac{1}{6}[/tex] ⇒ [tex]\frac{9}{12}- \frac{2}{12}[/tex]

[tex]=\frac{7}{12}[/tex]

Hope this helped! :)

Answer:

B.

Step-by-step explanation:

You just remove 3 zeros from 10.

10 —> 1 —> 0.1 —> 0.01 :)

Answer:

x=-3

Step-by-step explanation:

This is a one step solution all you do is divide 5 into -15

-15/5 = -3

so -3 = x