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eduard
3 years ago
5

The two triangles are similar. Find the unknown variables.

Mathematics
1 answer:
iogann1982 [59]3 years ago
7 0

Answer:

i thought it is 18 since 4 x3 =12 then 6x3 =18 I am not sure 100%

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2x-5) = 2(x-5) One Solution Infinitely Many Solutions No Solution 5x + 4) = 5(1-6) 5(x + 4) = 3(x-6) 4x - 2) = 4(x + 2) x + 2(x-
Gekata [30.6K]

9514 1404 393

Answer:

  top down: ∞, 0, 1, 0, ∞

Step-by-step explanation:

The equation will have infinite solutions when the left side and right side simplify to the same expression. This is the case for the first and last expressions listed.

  2(x -5) = 2(x -5) . . . . expressions are already identical

  x +2(x -5) = 3(x -2) -4  ⇒  3x -10 = 3x -10 . . . the same simplified expression

__

The equation will have no solutions when the x-coefficients are the same, but there are different added constants.

  5(x +4) = 5(x -6)  ⇒  x +4 = x -6  . . .  not true for any x

  4(x -2) = 4(x +2)  ⇒  x -2 = x +2  . . .  not true for any x

__

The equation will have one solution when coefficients of x are different.

  5(x +4) = 3(x -6)  ⇒  2x = -38  ⇒ x = -19

4 0
3 years ago
Need help plssssss fast hurry plsss
Bond [772]

Answer:

50 ft2

Step-by-step explanation:

im not sure if this is right but this is what i got when i worked it out

5 0
3 years ago
Read 2 more answers
What’s the value of x? and what’s the measure of angel JHK?
enot [183]

Answer:

x = 14

JHK =  21

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

3x-21 = x+7

Subtract x from each side

3x-x -21 = x+7-x

2x-21 = 7

Add 21 to each side

2x-21+21 = 7+21

2x = 28

Divide by 2

2x/2 =28/2

x = 14

JHK = 3x-21 = 3(14) -21 = 42-21 = 21

3 0
3 years ago
Read 2 more answers
The function H(t) = −16t^2 + 112t + 24 shows the height H(t), in feet, of a cannon ball after t seconds. A second cannon ball mo
raketka [301]

Answer:

see the attachment for a table

Step-by-step explanation:

A. The table is shown in the attachment. The solution to h(t) = g(t) is at a value of t that lies between 6 and 7. At t=6, h(t) > g(t). At t=7, h(t) < g(t). Since both functions are continuous, they must have equal values somewhere between t=6 and t=7. (Intermediate value theorem.)

__

B. The solution means the cannon balls will have the same height at a value of t between 6 and 7.

4 0
3 years ago
At Clucker's Chicken, a bucket of 4 pieces of dark meat and 5 pieces of white meat costs 7.05. A bucket of 3 pieces of dark meat
Alenkinab [10]

Answer:

The cost of a piece of dark meat is <u>$0.70</u> and the cost of a piece of white meat is <u>$0.85</u>.

Step-by-step explanation:

Given:

At Clucker's Chicken, a bucket of 4 pieces of dark meat and 5 pieces of white meat costs 7.05.

A bucket of 3 pieces of dark meat and 8 pieces of white meat costs 8.90.

Now, to find the cost of a piece of dark meat and the cost of a piece of white meat.

Let the cost of a piece of dark meat be x.

And the cost of a piece of white meat be y.

A bucket of 4 pieces of dark meat and 5 pieces of white meat costs $7.05.

So,

4x+5y=7.05

4x=7.05-5y  

x=\frac{7.05-5y}{4}   .......(1)

Now, a bucket of 3 pieces of dark meat and 8 pieces of white meat costs $8.90.

3x+8y=8.90

Substituting the value of x from equation (1) we get:

3(\frac{7.05-5y}{4})+8y=8.90

\frac{21.15-15y}{4} +8y=8.90

\frac{21.15-15y+32y}{4} =8.90

<em>Multiplying both sides by 4 we get:</em>

21.15-15y+32y=35.60

21.15+17y=35.60

<em>Subtracting both sides by 21.15 we get:</em>

17y=14.45

<em>Dividing both sides by 17 we get:</em>

y=0.85

<u>The cost of a piece of white meat = $0.85.</u>

Now, substituting the value of y in equation (1) we get:

x=\frac{7.05-5y}{4}

x=\frac{7.05-5\times 0.85}{4}

x=\frac{7.05-4.25}{4}

x=\frac{2.8}{4}

x=0.70.

<u>The cost of a piece of dark meat = $0.70.</u>

Therefore, the cost of a piece of dark meat is <u>$0.70</u> and the cost of a piece of white meat is <u>$0.85</u>.

5 0
3 years ago
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