Can anyone help me ASAP!!!

∠1 and ∠2 are supplementary angles. m∠1 is 4y+7, and m∠2 is 9y+4. Find m∠2.

The sum of supplementary angle is 180°

First, solve for the value of y.

Then, plug and substitute the value y = 13 to find the m∠2.

The measure of angle 2 is 121 degrees.

Given:

[tex]m\angle1=4y+7\\m\angle2=9y+4[/tex]

Recall: Supplementary angles are angles whose sum equals [tex]180^{o}[/tex]

To solve this problem, create an equation to find the value of x:

Thus:

[tex]m\angle1 +m\angle2=180[/tex]

Therefore:

[tex](4y+7)+(9y+4) = 180\\[/tex]

Solve for y:

[tex]4y+7+9y+4 = 180\\\\[/tex]

Add like terms:

[tex]13y+11 = 180\\\\[/tex]

Subtract 11 from both sides

[tex]13y+11 - 11= 180 - 11\\13y = 169[/tex]

Divide both sides by 13

[tex]\frac{13y}{13} = \frac{169}{13} \\y = 13[/tex]

Find the m∠2 by substituting [tex]y = 13[/tex] into [tex]9y +4[/tex]

[tex]m\angle= 9(13)+4\\m\angle = 121^{o}[/tex]

Therefore, m∠2 = 121 degrees.

Learn more about supplementary angles here:

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Answer:

[tex] = x_{1} = \frac{1 - \sqrt{65} }{4} . x_{2} = \frac{1 + \sqrt{65} }{4} [/tex]

Step-by-step explanation:

[tex]2x ^{2} - x - 8 = 0[/tex]

[tex]x = \frac{ - ( - 1)± \sqrt{( - 1 {)}^{2} } - 4 \times 2 \times ( - 8)}{2 \times 2} [/tex]

[tex]x = \frac{1± \sqrt{1 + 64} }{4} [/tex]

[tex]x = \frac{1± \sqrt{65} }{4} [/tex]

[tex] = x_{1} = \frac{1 - \sqrt{65} }{4} . x_{2} = \frac{1 + \sqrt{65} }{4} [/tex]

Answer:

[tex]x=\frac{-1+-\sqrt{65}}{4}[/tex]

Step-by-step explanation:

Using the quadratic formula,

[tex]x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}\\x=\frac{-1+-\sqrt{-1^{2}+64}}{4}\\x=\frac{1+-\sqrt{65}}{4}\\[/tex]

Answer:

true

Step-by-step explanation:

5(1+2x)= 5 +10x =10x + 5

Answer:

Yes, they are eqivelant.

Step-by-step explanation:

5(1+2x) and 10x+5

The first step is to set them equal to each other, to see if they are equivelent.

5(1+2x) = 10x+5

Distribute the 5 to both terms in the parentheses by multiplying.

5(1) + 5(2x) = 10x +5

5 + 10x = 10x +5

The communative property of addition proves that these are equal.

9514 1404 393

Answer:

  x -y = -2

Step-by-step explanation:

The coefficients of x and y in the equation of the perpendicular line will be swapped, with one of them negated. That is, the perpendicular line will have the equation ...

  x -y = constant

The value of the constant can be found using the x and y of the given point.

  x -y = 2 -4 = -2

The perpendicular line is ...

  x -y = -2

x = 4 and y = 9 and z = 7

x(y + z - 32) = 4 · (9 + 7 - 32) =

= 4 · (16 - 32) = 4 · (-16) = -64

Answer:

170.25

Step-by-step explanation:

15% x 1135

15/100 x 1135

170.25

Hello :D

10% of 1135 = 1135/10 = 113.5

5% of 1135 = 113.5/2 = 56.75

15% of 1135 = 113.5 + 56.75 = 170.25

Answer  = 170.25

Answer:

18

Step-by-step explanation:

Answer:

7(10−[tex]2^{3}[/tex])+ [tex]\frac{8}{2}[/tex]

=18

Step-by-step explanation:

7(10−[tex]2^{3}[/tex])+[tex]\frac{8}{2}[/tex]

=7(10−8)+ [tex]\frac{8}{2}[/tex]  

=(7)(2)+[tex]\frac{8}{2}[/tex]  

=14+[tex]\frac{8}{2}[/tex]  

=14+4

=18

We know that on each side of the street it is 10 feet deep and 1 mile long, which 1 mile = 5280 feet. So, lets get the area first .

1 inch= 10 miles

1 inch * 1 inch = 1 in^2 = 10 miles * 10 miles = 100 miles^2

so

1 in^2 is 100 mi^

Answer:

Step-by-step explanat15 - 4: 1/4 + 2 =

15 - 4 × 4 + 2 =

15 - 16 + 2 =

-1 + 2 =

1ion:

The value of the given expression will be 1.

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

Given that, 15–4 Divided 1/4 + 2 =

Converting the statement into n mathematical expression, we get

15-4÷1/4+2

= 15-4×4+2

= 15-16+2

= -1+2

= 1

Hence, The value of the given expression will be 1.

For more references on expressions, click;

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#SPJ2

Answer:

No solution

Step-by-step explanation:

To solve first you need to isolate the absolute value sign. Do this by subtracting 7 from each side.

Now an expression inside absolute value bars is set to a negative. Since absolute value makes terms and expressions positive, there is no x-value that could make this true. Therefore, there are no solutions.

[tex]\\ \tt\Rrightarrow |3x-8|+7=2[/tex]

[tex]\\ \tt\Rrightarrow |3x-8|=2-7[/tex]

[tex]\\ \tt\Rrightarrow |3x-8|=-5[/tex]

Because of absolute vale there is no solution

Answer:

Each bag costs 0.35 cents

Step-by-step explanation:

divide 9.88 by 28 and that gives you the total for each bag of chips

Answer:

33

Step-by-step explanation:

The amount of child tickets sold this day is x, when the amount of adult tickets is 4x

5.2x- the money from children, 9*4x=36x- the money from adults,

5.2x+36x= 1359.6

41.2x=1359.6

x=33- the amount of child tickets

Answer:

4

Step-by-step explanation:

Answer:

B

Average speed = total diatance covered

total time taken

= 140 miles

4 hours

= 35mph

Answer:

by/x cents

Step-by-step explanation:

if x apples cost b cents then 1 apple with cost b/x cents and y apples will cost (b/x)×y which gives by/x cents

Answer:

x = 25

Step-by-step explanation:

120 = 70 + 2x

120 - 70 = (70 - 70) + 2x

50 = 2x

50/2 = 2x/2

x = 25

Answer:

Answer:

x = 25

explanation:

120 = 70 + 2x

120 - 70 = (70 - 70) + 2x

50 = 2x

50/2 = 2x/2

x = 25

hope this helps :)

Answer:

STAY SAFE STAY UGLY.

Step-by-step explanation:

BY ELON MUSK

Answer:

Image result for 44. Consider all rectangles with an area of 182 square feet. Let's Be the length of one side of such a rectangle a) Express the perimeter as a function of b) Use the graphing calculator to find the dimensions of the rectangle that has the least perimeter. What is the least perimeter?

Divide the area of the rectangle by the width in order to find the length of 14 feet. The perimeter is the sum of the side lengths, which in this case is 14 feet + 4 feet +14 feet + 4 feet, or 36 feet.

Step-by-step explanation:

a triangular number n is the sum of all natural numbers <= n.

t1 = 1

t2 = 1+2 = 3

t3 = 1+2+3 = 6

t4 = 1+2+3+4 = 10

...

so,

tn = tn-1 + n

47.

1×8 + 1 = 9 is a square number.

3×8 + 1 = 25 is a square number

6×8 + 1 = 49 is a square number

10×8 + 1 = 81 is a square number

48.

1/3 = 0 remainder 1

3/3 = 1 remainder 0

6/3 = 2 remainder 0

10/3 = 3 remainder 1

15/3 = 5 remainder 0

21/3 = 7 remainder 0

28/3 = 9 remainder 1

so, there seems to be a pattern 1 0 0 1 0 0 1 0 0 1 ...

49.

1/4 = 0 remainder 1

4/4 = 1 remainder 0

9/4 = 2 remainder 1

16/4 = 4 remainder 0

25/4 = 6 remainder 1

36/4 = 9 remainder 0

49/4 = 12 remainder 1

so, there seems to be a pattern 1 0 1 0 1 0 1 0 1 0 1 ...

50.

polygonal numbers is the real name for this.

the formula for dimensions = 5 is

(3n² − n)/2

for dimensions = 6 it is

2n² - n

so, dimensions=5 (and therefore dividing also by 5) we get the remainders

1/5 = 0 remainder 1

5/5 = 1 remainder 0

12/5 = 2 remainder 2

22/5 = 4 remainder 2

35/5 = 7 remainder 0

51/5 = 10 remainder 1

70/5 = 14 remainder 0

92/5 = 18 remainder 2

117/5 = 23 remainder 2

145/5 = 29 remainder 0

here the pattern is 1 0 2 2 0 1 0 2 2 0 1 0 2 2 0 ...

dimensions=6 (and therefore dividing also by 6) we get the remainders

1/6 = 0 remainder 1

6/6 = 1 remainder 0

15/6 = 2 remainder 3

28/6 = 4 remainder 4

45/6 = 7 remainder 3

66/6 = 11 remainder 0

91/6 = 15 remainder 1

120/6 = 20 remainder 0

153/6 = 25 remainder 3

190/6 = 31 remainder 4

231/6 = 38 remainder 3

276/6 = 46 remainder 0

325/6 = 54 remainder 1

here the pattern is 1 0 3 4 3 0 1 0 3 4 3 0 1 0 3 4 3 0 ...

Answer:

-$79

Step-by-step explanation:

If i read that correctly, Rylee had -$23 in her account.

Then, she was charged $56, meaning we have to subtract $56 from -$23. When we do -23 - 56, we get -79. Meaning, Rylee now has a balance of -$79.

Answer:

Step-by-step explanation:

The original price of Rylee’s groceries was $23.50. This money is leaving her bank account, so represent the amount with a negative sign:

-$23.50.

Rylee got a 20% discount on her purchase. In other words, she got 20% of her money back. The expression that represents the net change in her bank account is

-$23.50 – (-$23.50 × 0.2).

Further simplify the expression by factoring -$23.50 from both terms:

-$23.50 – (-$23.50 × 0.2)

=

-$23.50(1 – 0.2)

=

-$23.50(0.8).

Answer:

The translation vector can be drawn on the coordinate grid or written as

\vec{v}=\langle a,b\rangle

v

=⟨a,b⟩

. For example, a translation vector that moves a figure

3

3

units right and

2

2

units down can be represented mathematically as

\vec{v}=\langle3,-2\rangle

v

=⟨3,−2⟩

, or graphically as

It doesn’t matter where the vector is positioned in the plane. In this figure, the vector starts at

(1,1)

(1,1)

and ends at

(4,-1)

(4,−1)

. But the initial point and terminal point of the vector are irrelevant. What matters is the length of the vector and the direction in which it points, so all you have to look at is how many units the vector moves in the

y

y

-direction and how many units the vector moves in the

x

x

-direction.

Answer:

125 minutes

Step-by-step explanation:

2.5÷ .5 = 5

20× 5 + 25

= 125 min

Answer:

Step-by-step explanation:

41)

[tex]1+2+3+4+...+n=\dfrac{(n+1)*n}{2} \\\\2+4+6+...+2n=2*(1+2+3+4+...+n)=2*\dfrac{(n+1)*n}{2} =(n+1)*n\\\\[/tex]

42)

the square of the sum of the first n natural integers equals the sum of the cubes of these

a18 − a12 = 24 == 24

d == 24

I hope this is correct and helps..

Step-by-step explanation:

[tex]2 {x}^{2} + 4x + 4 + {x}^{2} + 1 = 180[/tex]

[tex]3 {x}^{2} + 4x + 5 = 180[/tex]

[tex] {3x}^{2} + 25x - 21x - 175 = 0[/tex]

[tex]x \times (3x + 25) - 7(3x + 25) = 0[/tex]

[tex](3x + 25) \times (x - 7) = 0[/tex]

[tex]3x + 25 = 0 = x - 7 = 0[/tex]

[tex]x = - \frac{25}{3} = x = 7[/tex]

[tex] = x_{1} = - \frac{25}{3} . \: \: x_{2} = 7[/tex]

Answer:

It's a rectangle. So,

Area = Length × Width

Area = 16.4 × 9

Area = 147.6 cm²