A pair of shoes is on sale for 80% off the original price. The sale price is $60. What was the original price

Geometry heeelp i need help asap i will give 100 points and brainiest.

Anastaziya [24]

Answer:

X=2

Step-by-step explanation:

You can prove the triangle congruent by SAS. First, reflexive property and then isosceles triangle theorem since two side is congruent, the opposite angle is congruent to each other because of that theorem and then cpctc

6 0

3 years ago

Read 2 more answers

The ages of three siblings Jason John and Jackson totals 21 years. Jason is one year older than John. Jackson is three times as

Ymorist [56]

Answer:Jason is 5 years old.

John is 4 years old.

Jackson is 12 years old.

Step-by-step explanation:

Let x represent the age of Jason.

Let y represent the age of John.

Let z represent the age of Jackson.

The ages of three siblings Jason John and Jackson totals 21 years. It means that

x + y + z = 21 - - - - - - - - - - -1

Jason is one year older than John. It means that

x = y + 1

Jackson is three times as old as John. It means that

z = 3y

Substituting x = y + 1 and z = 3y into equation 1, it becomes

y + 1 + y + 3y = 21

5y = 21 - 1 = 20

y = 20/5 = 4

x = y + 1 = 4 + 1

x = 5

z = 3y = 3 × 4

z = 12

6 0

3 years ago

F(x)=-x^2 -4x -2, for this equation find the solutions, the coordinates of the vertex, and the axis of the symmetry.

Zina [86]

Answer:

Step-by-step explanation:

hello :

Completing The Square x²-4x-2= (x²-4x+4)-4-2 = (x-2)²-6

the vertex is : (2 , -6)

now calculate the solutions : (x-2)²-6 =0

(x-2)²= 6 means : x-2 =√6 or x-2 = -√6

x = 2+√6 or x = 2-√6

4 0

3 years ago

A stone is launched into the air from a height of 240 feet. The height, h, of the stone, in feet, t seconds after launch is give

rosijanka [135]

A projectile is an object launched into space, and moving under the influence of gravity and momentum. The stone here is an example. Thus, the time taken for the stone to reach the ground is 10 seconds.

On launching of the stone into space, it behaves as a projectile. Thus moving under the influence of gravity and its momentum. Its momentum is the product of its mass and velocity.

The height h, is given as:

h = 16 $t^{2}$ + 32t + 240

Differentiating the expression with respect to t, we have;

32t + 32 = 0

t = -1 seconds

Substitute the value of time, t, in the equation for the height;

h = 16 - 32 + 240

= 224

h = 224 m

Total height, S = 240 + 224

= 464

S = 464 m

The total height covered by the stone is 464 m.

From the second equation of free fall,

S = Ut + $\frac{1}{2}$ g $t^{2}$

S = $\frac{1}{2}$ g $t^{2}$

464 = $\frac{1}{2}$ *9.8* $t^{2}$

$t^{2}$ = $\frac{928}{9.8}$

= 94.694

t = $\sqrt{94.694}$

= 9.7311

t ≅ 10 seconds

The time taken for the stone to hit the ground is 10 seconds.

Thus option A is the required answer.

Visit: brainly.com/question/13834669

7 0

3 years ago

kyra invested $400 at 3% for 3 years . lishshawn invested $500 at 4% for 2 years calculate who earn the most interest and how mu

eimsori [14]

Answer:

Okay, so a bit of math is involved, along with steps.

Step-by-step explanation:

Kyra invested $400 at 3% for 3 years. meaning 3% of $400 is 12. 400+12=

Year 1: $412

3% of 412=12.23+412=

Year 2: $424.23

3% of 424.23=12.7+423.23=

Year 3: $435.93

Kyra made $35.93 in investments.

Lishsawn invested $500 at 4% for 2 years. Meaning, 4% of $500 is 20. 500+20

Year 1: $520

4% of 520=20.8+520

Year 2: $540.8

Lishawn made $40.8 dollars in investments. Meaning that Lishawn made $4.87 more dollars

6 0

3 years ago