Solve algebraically the simultaneous equations
x^2– y^2 = 24
x= 3 + 2y
Write your two pairs of answers in this form:
when x =... y =...
When x=... y=...

Answer:

Step-by-step explanation:

Answer:

For every action, there is an equal and opposite reaction.

Answer:

60° 60° 60°

60°

Step-by-step explanation:

In any triangle, the sum of its interior angles is 180°, and 60+60+60=180.

As for the other question, we can see that angle5=angle1, and angle6=angle2, due to the parallelism of the lines.

Angle5+angle6=180°, therefore

Angle6=180-120=60°=angle2

Answer:

Problem:

If you deposit $4500 into an account paying 6.25% annual interest compounded yearly , how much money will be in the account after 6 years?

Step-by-step explanation:

Result:

The amount is $6474 and the interest is $1974

I rounded it for ya ==^-^==

Answer:6

Step-by-step explanation:

Answer:

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal sum plus previously accumulated interest.

Step-by-step explanation:

Answer:7.922927...

or just 7

Step-by-step explanation:

Question:

On a coordinate plane, △ABC has points (-2, 7), (-2, 3), and (-6, 3) and △DEF has points (-2,-10), (-2, -2), and (6, -2).

Given that

[tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{1}{2}[/tex]

Complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem.

Horizontal and vertical lines are __(1)__. So, angles are right angles by definition of perpendicular lines. All right angles are __(2)__

Therefore, △ABC ~ △DEF by the SAS similarity theorem.

Answer:

(1) perpendicular

(2) congruent

Step-by-step explanation:

Required

Fill in the gaps

[tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{1}{2}[/tex] implies that:

[tex]AB : DE= BC : EF[/tex]

In other words:

AB ~ DE ---- Side (S)

and

BC ~ EF ---- Side (S)

Now to fill in the gap with:

(1) perpendicular

(2) congruent

Further explanation

(1) Vertical lines and horizontal lines meet at a right angle (i.e. 90 degrees). Any two lines that meet at a right angle are perpendicular

(2) Angles with equal measures are congruent. Because right angles have a congruent angles of 90 degrees, then they are congruent.

Answer:

Given that StartFraction A B Over D E EndFraction = StartFraction B C Over E F EndFraction = one-half, complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem.

Horizontal and vertical lines are

✔ perpendicular

.

So, angles

✔ B and E

are right angles by definition of perpendicular lines.

All right angles are

✔ congruent

.

Therefore, △ABC ~ △DEF by the SAS similarity theorem.

Step-by-step explanation:

Answer:

I can't make out whether you're asking for = or ≅. It's too blurry.

A) Triangle ΔEFG is equal

ΔEFG, RSY, and XYZ are congruent

Step-by-step explanation:

Answer:

[tex]\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ 8x & {0} & {8} & {16} & {24} \ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]8x[/tex]

Required:

Solve for [tex]x = 0,1,2,3[/tex]

For x = 0

[tex]8x = 8 * 0[/tex]

[tex]8x = 0[/tex]

For x = 1

[tex]8x = 8 *1[/tex]

[tex]8x = 8[/tex]

For x= 2

[tex]8x = 8 * 2[/tex]

[tex]8x = 16[/tex]

For x = 3

[tex]8x = 8 *3[/tex]

[tex]8x = 24[/tex]

Hence, the results are:

[tex]\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ 8x & {0} & {8} & {16} & {24} \ \end{array}[/tex]

Answer:

Step-by-step explanation:

Answer:

i dont know about the diagram but the answer is 9

Step-by-step explanation:

Answer:

Its a:70 degrees..........

Answer:

60 degrees

Step-by-step explanation:

This is because on the other side there is 30 degrees, and since a right angle= 90 degrees, simply do 90-30=60

9514 1404 393

Answer:

Step-by-step explanation:

The drawing scale is ...

  1/4" : 1 ft = 1/4" : 12" = 1 : 48

1) The bedroom shape has two pairs of parallel sides and right-angle corners. It is a rectangle.

__

2) The area of the drawing is 20(1/4 in) × (22(1/4 in)) = 440(1/16 in²)

  = 27.5 square inches . . . . area of the bedroom on the drawing

__

3) The drawing side of the bed is 1/48 of the bed's actual dimensions, so is ...

  54/48 in × 80/48 in = 1 1/8 in × 1 2/3 in . . . . size of the bed on the drawing

__

4) The drawing looks like it may have been made on a 1/4" grid, but there are only 17 grid squares along the side labeled 20 (feet). So, we actually have no good reference for size. Using the dimension marked as 3 feet for reference we estimated the bed size, trying for 4 1/2 by 6 2/3 feet.

When we print the figure to a piece of paper, we have to scale it to 88.1% to make the 20-foot dimension come out 5 inches. Doing that shows our bed outline is about 82 inches long, not 80 inches long. YMMV

Answer:

x = 65°

Step-by-step explanation:

these are vertical angles, which are congruent

145 = 2x + 15

130 = 2x

65 = x

Answer: 2 hours and 35 minutes. Aka 2:35

Step-by-step explanation: to find when it starts and ends, subtract 6:35pm by 9:10pm

So 9-6 is 3 and there is a problem when you do 10-35. 35 is bigger which means you have to take away an hour so the 3 becomes a 2 and then you add 60 onto the 10 even though the limit is 60 minutes because it equals an hour. So you now have 2 hours and 70 minutes - 35. Well that is 35 because 35+35 = 70 meaning the movie is 2 hours, 35minutes

Answer:

7 Quarters and 3 dimes

Step-by-step explanation:

You have to find how many quarters (0.25) and dimes (0.10) are in $2.05. There are 7 quarters, which will add up to $1.75. You can't have 8 quarters because then you would have 2 dollars, and there wouldn't be enough for a dime, there would only by 5 cents left, or a nickle. Then, you find out how many nickels you need, which is 3.

.10x3=.30. 1.75+0.3=2.05.

I hope you understood:)

Answer:

x=quarters

x-4 =dimes

.25x+.10(x-4)=2.05

.25x + .10x-.40=2.05

.35x = 2.45

divide by 0.35, both sides

x=7

x-4=3

7 quarters ($1.75)

3 dimes ($0.30

Total=$2.05

so you need 7 quarters and 3 dimes

Step-by-step explanation:

Answer:

1:7

Step-by-step explanation:

One day out of the week (1/7)

If she burned the same number of calories every day, this should be the answer.

Answer:

5:18

Step-by-step explanation:

Answer:

650% increase

Step-by-step explanation:

150/20 = 7.5

7.5 - 1 = 6.5

6.5 × 100 = 650%

Let's make sure this is correct.

650/100 = 6.5

6.5 + 1 = 7.5  The extra 1 represents the increase!

20 × 7.5 = 150

I hope this helps!! ^-^

Answer:

56.81 SECONDS

Step-by-step explanation:

The best time would be the shortest time it takes to complete the race. This is 56.81 SECONDS

Answer:this one is hard

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

Answer:

He can buy up to 7 games

Step-by-step explanation:

200 divided 25.50 is 7.84 so therefore he can only buy 7

Answer:

7

Step-by-step explanation:

since it costs 25.50 dollars for each game say that x is each game and 25.50 times x equals the amount of money he spent on his games.

since he only has 200 dollars the inequality has to be greater than or equal to 25.50x

200>=25.50x

7.843>=x

so he can only buy up to 7 games

Answer:

30ft^2

Step-by-step explanation:

Area of a rectangle = Length * Width

Given

Length = 6ft

Width = 5ft

Substitute

Area of the rectangle = 6ft *5ft

Area of the rectangle = 30ft^2

Hence the area of the rectangle is 30ft^2

Answer:

true

false

true

false

true

Step-by-step explanation:

Hello There!

We are going to convert each fraction to decimal form to make it easier to tell if the statement is true or false

[tex]\frac{2}{3} =.66\\\\\frac{2}{6}=.33[/tex]

.66 is greater than .33 therefore [tex]\frac{2}{3} >\frac{2}{6}[/tex] is a true statement

[tex]\frac{8}{10} =.8\\\\\frac{6}{5} =1.2[/tex]

1.2 does not equal 8 therefore [tex]\frac{8}{10} =\frac{6}{5}[/tex] is a false statement

[tex]\frac{1}{8} =.125\\\\\frac{1}{4}=.25[/tex]

.25 is greater than .125 therefore  [tex]\frac{1}{8} <\frac{1}{4}[/tex] is a true statement

[tex]\frac{2}{4} =.5\\\\\frac{1}{2} =.5[/tex]

.5 is equal to .5 therefore [tex]\frac{2}{4} >\frac{1}{2}[/tex] is a false statement

[tex]\frac{4}{10} =.4\\\\\frac{4}{6} =.66[/tex]

.66 is greater than .4 therefore [tex]\frac{4}{10} <\frac{4}{6}[/tex] is a true statement

Answer: true false true false true sorry and just give the other person brainly and thank u

Step-by-step explanation: have a nice day

Answer:

Area = 1/2 (Base) (Height)

Area = 1/2 (12 in) (8 kn)

Area = 1/2 (96 in)

Area = 48 in^2

Volume = (Area) (Length)

Volume = (48 in^3) (13 in)

Volume = 624 in^3

Answer:

V=L•W•H

3=13·12·8

3=416

=416³

Step-by-step explanation:

Finding the Volume of a Rectangular Pyramid

The general volume of a pyramid formula is given as: Volume of a pyramid = 1/3 x base area x height.

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