These are two similar triangles
What is the measure of x?
24
12
X
4
x = [?]
=

(x + 9)/2 = 3x

Multiply both sides by 2 since the left is divided by 2.

x + 9 = 6x

     9 = 5x

      x = 9/5 or 1 4/5

Step-by-step explanation:

let's look at the full numbers under the square roots when bringing the external factors back in :

sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)

and let's present these numbers as the product of their basic prime factors

sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)

now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.

let's combine these

sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)

and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :

9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =

= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)

and that is the first answer option.

Answer:

a is (7,6)

b is (3,-1)

c is (1,3)

d is (5,5)

Step-by-step explanation:

Answer:

no.

Step-by-step explanation:

half of 9 ft is 4.5 ft, 9 + 4 and 1/2 is 13 1/2

Answer:

Its $1,750

Explanation: I got it right

Answer:

8N

Explanation:

Since Force is proportional to acceleration,

F1/a1=F2/a2

Therefore;

12/6=F2/4

F2=(12*4)/6

=8

The full price of a rashguard is $25 and the expression for the full price is 3 (x - 5) = 60.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the full price of each rashguard be x,
Rashguards sell for $5 less than full price.
x - 5
Miguel purchases 3 rashguards and pays a total of $60.
3 (x - 5) = 60
Simplifying,
x - 5 = 60 / 3
x - 5 = 20
x = 20 + 5
x = 25

Thus, the full price of a rashguard is $25 and the expression for the full price is 3 (x - 5) = 60.

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Answer:

3.5 hours

Step-by-step explanation:

You are trying to isolate X (get X by it self) to do that you need to divided both sides of the equation by 60 resulting in X=3.5

Divide both sides by 60 to isolate x

x=3.5 hours

Hope this helps you! :)

[tex]GraceRosalia[/tex]

Answer:

Q(-1 , 6)

Step-by-step explanation:

Midpoint M(5 , -2)

[tex]Midpoint = \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\P(11 , -10) \ ; x_{1} = 11 \ & \ y_{1}=-10\\\\\left(\dfrac{11+x_{2}}{2},\dfrac{-10+y_{2}}{2}\right)= \left( 5 , -2 \right )\\\\\dfrac{11+x_{2}}{2}=5 \ ; \dfrac{-10+y_{2}}{2}=-2[/tex]

11 + x₂ = 10         ;  -10 + y₂ = -4

      x₂ = 10 - 11   ;      y₂ = - 4 + 10

      x₂ = -1          ;       y₂ = 6

Q(-1 , 6)

the coordinates of point Q is (-1,6)

Answer:

x = - 25 , x =  84

Step-by-step explanation:

Given f(x) = - [tex]\frac{3}{5}[/tex] x - 17 and f(x) = - 2 , then equate right sides

- [tex]\frac{3}{5}[/tex] x - 17 = - 2 ( add 17 to both sides )

- [tex]\frac{3}{5}[/tex] x = 15 ( multiply both sides by 5 to clear the fraction )

- 3x = 75 ( divide both sides by - 3 )

x = - 25

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

Similarly equate right sides

- 11 - [tex]\frac{1}{6}[/tex] x = - 25 ( add 11 to both sides )

- [tex]\frac{1}{6}[/tex] x = - 14 ( multiply both sides by 6 to clear the fraction )

- x = - 84 ( multiply both sides by - 1 )

x =  84

Answer:

Y > 2x - 3

Y > -1/2x + 2

Step-by-step explanation:

The dotted line is a function of y=2x - 3,

And the solid line has a function of y= -1/2x + 2

Because the line is dotted for the first line I picked, it is > and because the other is solid it is >.

Answer:

$9,800.07

Step-by-step explanation:

Just took a quiz.

There will be $9,800.07  after 4 years if Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest,

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}+\dfrac{PMD((1+\dfrac{r}{n})^{nt}-1)}{\dfrac{r}{n}}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

PMD = $200

r/n = 0.0105/12

n = 12

t = 4 years

After plugging the all values in the formula, we will get:

A = $9,800.07

Thus, there will be $9,800.07  after 4 years if Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest,

Learn more about the compound interest here:

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Answer:

what are the pair of points?

Answer:

1. 2x

2. 3x

3. 2x+5

4. (3x)^2

5. 3\4(x)

I hope it makes sense

have a great day

if any questions pls ask

Answer:

The answer is - 113 that is the correct answer skipping in three's and the first one is - 97

Answer:

-97, -101, -105, -109, -113, -117

Step-by-step explanation:

the order was add -4 each time

Answer: $50

Step-by-step explanation:

If Natalie is one of the first 50 customers to enter the store, then she might've gotten the $50 or the $75

Answer:

look at the picture i have sent

Answer:

x=79

Step-by-step explanation:

180-101=79

Jesus loves you!

Answer:

It is 79

Step-by-step explanation:

Since the lines are parrelel that means that the angle that is next to the 101 is corresponding to x. So then we do 180-101 which is 79

Answer:

$175.07 will be taken off

Step-by-step explanation:

287x61/100

17507/100

175.07

Answer:

He rode his bicycle for 40minutes

Hope it helps:)

Answer:

Step-by-step explanation:

i guess we will never know.

Answer:

He can buy 6 liters because £0.80 x 6 = £4.80. So he will have £5.00 - £4.80 = £0.20 left over. 20p.

Step-by-step explanation:

welcome

Answer:

We need the options

Step-by-step explanation:

...

Answer: 15

Step-by-step explanation: I took the test.

Answer:

C.) 15

Step-by-step explanation:

Answer:

7/23

Step-by-step explanation:

3 2/7 - so 7 times 3 is 21, plus the extra 2 is 23, so it then becomes the improper fraction 23/7, which switched becomes 7/23

Answer: is in picture below

Answer:

13

Step-by-step explanation:

Since this is a right triangle, you can use the Pythagorean Theorem.

The side y would be the hypotenuse.

[tex]a^{2} + b^{2} = c^{2}[/tex]

Plug it in:

[tex]5^{2} + 12^{2} = y^{2}[/tex]

Isolate y:

y = [tex]\sqrt{ 5^{2} + 12^{2} }[/tex]

Solve:

y = 13

Answer:

bill heads;15.68

jane heads;14.38

Step-by-step explanation:

862.5÷55=15.68

862.5÷60=14.38

Answer:

y = 5x -1

............

Step-by-step explanation:

15 . triangle on number 15 is an isoseles because it has two sides that are equal

and also it has two angles that are equal

16. it is a scalene beacause it has no side that is equal furthermore its angles are not the same they are all different

The triangles have a common vertex angle, and a given pair of

corresponding and congruent angles, they are therefore similar triangles.

Reasons:

The given parameters are;

∠AED ≅ ∠ACB

By observation, we have that ΔAED and ΔACB have ∠A = ∠DAE and ∠A =

∠BAC in common.

Therefore, ∠DAE ≅ ∠BAC, by reflexive property.

Two angles of ΔAED (∠AED and ∠DAE) are congruent to two angles in

ΔACB.

(∠ACB and ∠BAC), which gives that ΔAED and ΔACB are similar by AA

Angle-Angle similarity postulate, and by Corresponding Angles of Similar

Triangles are Congruent CASTC we have;

∠AED ≅ ∠ACB

∠DAE ≅ ∠BAC

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