Choose the correct answer below for the following problem:

(‒489) + (‒764) =



A.
‒1,253
B.
275
C.
1,253
D.
‒275

Answer:

8 1/2

Step-by-step explanation:

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Explanation:

Since AE = BE, we know that triangle ABE is isosceles with A = B as the congruent base angles (it might help to rotate the triangle 90 degrees clockwise). The congruent base angles are always opposite the congruent sides of an isosceles triangle.

Focus on triangle ABE. Let's find the missing angle E.

A+B+E = 180

55+55+E = 180

110+E = 180

E = 180-110

E = 70

So angle BEA = 70 degrees

This means angle DEC is also 70 degrees. Angles BEA and DEC are congruent vertical angles.

--------------------

Now focus on triangle DEC. We just found E = 70. The diagram shows D = 34. Use these items to find C

D+E+C = 180

34+70+C = 180

104+C = 180

C = 180-104

C = 76

Angle C is 76 degrees

Answer:

hey

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes.

To find D and E use the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(2, - 2) , then

D = ([tex]\frac{4+2}{2}[/tex], [tex]\frac{6-2}{2}[/tex] ) = (3, 2 ) and

let (x₁, y₁ ) = B(2, - 2[tex]\frac{-4+2}{-2-2}[/tex] ) and (x₂, y₂ ) = C(- 2, - 4 ), then

E = ( [tex]\frac{4-2}{2}[/tex], [tex]\frac{6-4}{2}[/tex] ) = (1, 1 )

Use the slope formula to find slopes of DE and BC

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = D(3, 2) and (x₂, y₂ ) = E(1, 1), then

[tex]m_{DE}[/tex] = [tex]\frac{1-2}{1-3}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

Repeat with (x₁, y₁ ) = B(2, - 2) and (x₂, y₂ ) = C(- 2, - 4), then

[tex]m_{BC}[/tex] = [tex]\frac{-4+2}{-2-2}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]

Since the slopes are equal then DE and BC are parallel lines

Answer: Light bulbs.

Step-by-step explanation:

Paint Brushes: 29.82 ÷ 14 = $2.13 per brush.

Drywall Screws : 31.84 ÷ 16 = $1.99 per anchor screw.

Light Bulbs: 27.15 ÷ 12 = $2.26 per light bulb.

Sandpaper: 36.54 ÷ 18 = $2.06 per piece of sandpaper.

Answer:

4(9a+5)

Step-by-step explanation:

Answer:

4(9a+5)

Step-by-step explanation:

Their common factor is 4 so divide both by 4 and put it in parentheses times 4  

Answer:

23

Step-by-step explanation:

we will put 8 instead of "y" in the equation

2 x 8 + 7 = 23

Answer: 3 times a number can be written as 3x.

Five less than 3x means you must subtract 5 from 3x.

the word "is" means equals,

so 3x-5=10

Step-by-step explanation:

since it is given that 3 times a number less than five is 1

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3 x=2

Answer:

wait you want me to answer this

Answer:

B

Step-by-step explanation:

y = [tex]\frac{1}{4}[/tex] is the equation of a horizontal line, parallel to the x- axis.

A line perpendicular to it will be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 6, - 9) with x- coordinate - 6, thus

x = - 6 ← is the equation of the perpendicular line

2/3 - 2/5

= 10/15 - 6/15

= 4/15

Answer:

I believe it is A......

Answer:

C.)

Step-by-step explanation:

180 = 6x + (2x - 32)

212 = 8x

26.5 = x

y = 2x - 32

y = 21

Answer:

Assuming we have the same question, the answer would be: D) h = 45tan59° ft

Step-by-step explanation:

Answer:

904.78 in I think but I'm not 100%

Answer:

V≈904.78

Step-by-step explanation:

V=4/3[tex]\pi[/tex][tex]r^{3}[/tex]

V=4/3[tex]\pi[/tex](6)^3

V≈904.78

I'm pretty sure this is correct.

Answer:

6.40312423 hope that helps

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 5, 8) and (x₂, y₂ ) = (- 3, 1)

d = [tex]\sqrt{(-3+5)^2+(1-8)^2}[/tex]

   = [tex]\sqrt{2^2+(-7)^2}[/tex]

   = [tex]\sqrt{4+49}[/tex]

    = [tex]\sqrt{53}[/tex]

Answer:    $16.65

Step-by-step explanation:3.7*$4.50=$16.65

Answer:

C 13 inches

Step-by-step explanation:

Because the plant grows two inches every week so if by the second week it is 7 inches tall just add 3 more weeks or 6 inches of growth to the 7 inches and you get your answer 13 inches

Answer:

bag of chips - 20 ; number of fruit snacks - 5 .

Step-by-step explanation:

Answer:

She started with 8 books.

Step-by-step explanation:

Answer:

909

Step-by-step explanation:

I'm not sure if I'm right plz tell me if I'm wrong

Answer:

See below.

Step-by-step explanation:

30.

E(1, 2), F(5, 6), G(3, -2)

a)

H, midpoint of segment EG

H( (1 + 3)/2, (2 + (-2))/2) = H(2, 0)

J, midpoint of segment FG

J( (5 + 3)/2, (6 + (-2))/2) = J(4, 2)

b)

Show that segment HJ is parallel to segment EF.

Parallel lines have equal slopes. We find the slopes of the two segments using the endpoints and show that the slopes are equal proving the segments are parallel.

slope of segment HJ:

slope HJ = (2 - 0)/(4 - 2) = 2/2 = 1

slope of segment EF:

slope EF = (6 - 2)/(5 - 1) = 4/4 = 1

slope HJ = slope EF = 1

Segments HJ and EF are parallel since their slopes are equal.

c)

Show HJ = (1/2)EF

We use the distance formula to find the lengths of segments HJ and EF.

length of HJ = sqrt[(4 - 2)^2 + (2 - 0)^2] = sqrt(4 + 4) = sqrt(8) = 2sqrt(2)

length of EF = sqrt[(5 - 1)^2 + (6 - 2)^2] = sqrt(16 + 16) = sqrt(32) = 4sqrt(2)

HJ = (1/2)EF

Substitute the lengths we found just above for HJ and EF:

2sqrt(2) = (1/2)[4sqrt(2)]

2sqrt(2) = 2sqrt(2)

The two sides are equal, so we have proved that HJ = (1/2)EF.

Answer:

y=2x-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

total number of people surveyed= 1500

we are told that 300 people would buy that car again,

this implies that they like the car and are satisfied with it

Step two:

the percent of people satisfied can be computed as

=300/1500*100

=3/15*100

=1/5*100

=0.2*100

=20%

The people surveyed were satisfied with the​ car are 20%

Answer:

18 deg

Step-by-step explanation:

pi in radians = 180 deg

180/10 would be 18

hope that helps

Answer:

8x+(-27)=y

Step-by-step explanation:

To find an equation of a line, you use the formula mx+b=y

M=slope

x=x cooridnates

y=y coordinates

b=y intercept

Slope:

You use the formula y2-y1/x2/x1 to find slope.

5-(-3)/2-5

5+3/-3

8/-3

8

Y intercept:

8(5)+b==3

40+b=-3

b=-37

Equation: 8x+-37=y

The equation of the line that passes through each pair of points (5,-3), (2,5) is 3y = -8x+31

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, a line passes through each pair of points (5,-3), (2,5)

We know that, the equation of a line passing through two points (x1, y1) and (x2, y2) is given by,

(y-y1) = (y2-y1)/(x2-x1)(x-x1)

Where, (y2-y1)/(x2-x1) is, representing the slope of the line.

Here, x1 = 5, x2 = 2 and y1 = -3, y2 = 5

Equation of the line =

(y+3) = (5+3)/(2-5)(x-5)

y+3 = -8/3(x-5)

3y+9 = -8x+40

3y = -8x+31

Hence, The equation of the line that passes through each pair of points (5,-3), (2,5) is 3y = -8x+31

For more references on equation, click;

https://brainly.com/question/29657983

#SPJ5

Answer:

$181.9

Step-by-step explanation:

Si cuesta 85 dólares por 3 horas, queremos duplicarlo para obtener la cantidad por 6 horas, que es 170 dólares. Esto es antes del impuesto a las ventas. Puede encontrar la cantidad después del impuesto a las ventas multiplicando 170 por 1.07. Hace esto porque el 100 por ciento del costo sería 170 por 1 y el 7 por ciento es .07, por lo que si desea el 107 por ciento del costo, debe hacerlo 170 por 1.07. Esto funciona porque toma el 7 por ciento de 170 y lo agrega al costo total. También puede hacer esto 170 veces .07. Luego suma el producto a 170. 181,9 es la respuesta final.

English- If it costs 85 dollars for 3 hours we want to double that to get the amount for 6 hours which is 170 dollars. This is before sales tax. You can find the amount after sales tax by multiplying 170 by 1.07. You do this because 100 percent of the cost would be 170 times 1, and 7 percent is .07, so if you want 107 percent of the cost you want to do 170 times 1.07. This works because it takes 7 percent of 170 and adds it to the total cost. You could also do this by 170 times .07. Then add the product to 170. 181.9 is the final answer.

Answer:

1, 2

Step-by-step explanation:

An easy way to find the solution to a system of linear equations is to just replace it with x and y.

1, 2

1+2=3(x+y+3)

2+10=12(2x+5y=12)

Answer:

(1,2)

it's correct answer....be sure it's correct

Answer:5/14

Step-by-step explanation:if you're just combining them all 2/7 is equal to 4/14 and add that to the existing 1/14 so 4/14+1/14=5/14 total area covered

Answer:

C. The domain is greater than -3 and less than 7.

Step-by-step explanation:

Just like the other one

x is domain

< = less than

≤ = less than or equal to

Answer:

c

Step-by-step explanation:

should b. cause most true usagw 'the domain'

good luck

Answer:

25

Step-by-step explanation:

7^2+24^2=625 the sqr root of 625 is 25

Answer:

Answer is 25

Step-by-step explanation:

[tex]24x^{2} +7x^{2} =25x^{2}[/tex]

Answer:

The vector that describes their hike from their starting position to their final destination is [tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex].

Step-by-step explanation:

In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:

(i) A group of hikers walks 3 miles east and then 1 mile north:

[tex]\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex]

(ii) After taking a break, they then hike 4 miles east to their final destination:

[tex]\vec r_{B} = 4\,\hat{i}\,\,\,[mi][/tex]

The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:

[tex]\vec r = \vec r_{A}+\vec r_{B}[/tex]  (1)

[tex]\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi][/tex]

[tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex]

The vector that describes their hike from their starting position to their final destination is [tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex].