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3 years ago

The intersection of roads M and N creates a 41.4 angle what are the complementary and supplementary angles of this intersection

1 answer:

5 0

90°-41.4°=48.6°
Complementary angle is 48.6°.
180°-41.4°=138.6°
Supplementary angle is 138.6°.

The complementary angle of the given angle is its supplement to 90°.
The supplementary angle to the given angle is its supplement to 180°.

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What is the product in simplest form? State any restrictions on the variable.

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3 years ago

What is 103/143 as a decimal

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3 years ago

4/15 is equal to what

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3 years ago

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Amy, Bruce, and Carlos collected a total of 168 pounds of cans to recycle. Bruce collected 1/3 the number of pounds of cans Carl

MakcuM [25]

Answer:

$c = 63\\b=21$

Step-by-step explanation:

Let number of pounds of cans collected by Amy = $a$

Let number of pounds of cans collected by Bruce = $b$

Let number of pounds of cans collected by Carlos = $c$

As per question statement, total number of cans collected = 168

$a+b+c=168$ ..... (1)

Number of pounds collected by Bruce is $\frac{1}{3}$ rd of the pounds of cans collected by Carlos.

$b = \dfrac{1}{3}c ..... (2)$

Number of pounds collected by Amy is equal to number of pounds collected by Bruce and Carlos combined.

$a = b+c$

Using equation (2):

$a = \dfrac{1}{3}c +c \\\Rightarrow a =\dfrac{4}{3}c ..... (3)$

Using equations (2) and (3) in equation (1), we get:

$\dfrac{4}{3}c+\dfrac{1}{3}c+c =168\\\Rightarrow \dfrac{8}{3}c = 168\\\Rightarrow c =63$

Using equation (2):

$b = \dfrac{63}{3} = 21$

5 0

3 years ago

If (-2) = -14 for f(x) = 3x -b; find b? -

Verizon [17]

Answer:

The value of b is 8.

Step-by-step explanation:

The given function is,

$f(x) = 3x -b$

The given data is,

$f(-2)=-14$

i.e when the value of x is -2, then the value of the function is -14.

Putting all the values,

$\Rightarrow -14 = 3(-2) -b$

$\Rightarrow -14 = -6 -b$

$\Rightarrow b=-6+14$

$\Rightarrow b=8$

Therefore, the value of b is 8.

5 0

3 years ago

Read 2 more answers