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leonid [27]
3 years ago
11

TIMED!!!

Mathematics
2 answers:
Katen [24]3 years ago
6 0
Answer:
x = 50
y = 10

Explanation:
When two lines intersect, four angles are formed. A theorem states that each two vertically opposite angles are equal.

Applying this on the given, we would find that:
1) 3y and x-20 are vertically opposite angles. This means that:
3y = x - 20
This can be rewritten as:
x = 3y + 20 ........> equation I
2) y+140 and 5x-100 are vertically opposite angles. This means that:
y + 140 = 5x - 100 ..............> equation II

Substitute with I in II and solve for y as follows:
y + 140 = 5x - 100
y + 140 = 5(3y+20) - 100
y + 140 = 15y + 100 - 100
15y - y = 140
14y = 140
y = 10

Substitute with the value of y in equation I to get x as follows:
x = 3y + 20
x = 3(14) + 20
x = 50

Hope this helps :)
valkas [14]3 years ago
3 0
X - 20 + 5x - 100 = 180
6x - 120 = 180
6x = 300
  x = 50

3y = x - 20
3y = 50 -20
3y = 30
y = 10

answer
C. x = 50 and y = 10


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Leona [35]

Answer:

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b.) Total area , the playground cover = 256 ft²

Step-by-step explanation:

P. S : The exact question is -

As given,

Length of 1 side = 16 feet

As , we have

4 sides of same length

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a.)

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⇒ Total distance Julie cover = 64 + 64 = 128 feet

b.)

As the playground has equal side, so it must be of square shape

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Area of square = (Length of one side)²

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∴ we get

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vesna_86 [32]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
A Galapagos cactus finch population increases by half every decade. The number of finches is
Angelina_Jolie [31]

Answer:

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Step-by-step explanation:

Question

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,

where d is the number of decades after the population was measured. Evaluate the expression for d = −2

Given :

The number of  finches is modeled by the expression  :

⇒ 45\cdot1.5^d

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To evaluate the expression for d=-2

Solution:

In order to evaluate the given expression to find the number of finches at d=-2, we will plugin -2 for d in the expression and simplify it.

Plugging in d=-2 in the expression:

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Using negative exponent property. [a^{-x}=\frac{1}{a^x}

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Thus, the number of fringes at d=-2 is given as 20.

This means the number of fringes two decades ago was 20.

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