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3 years ago

Angles A and B are supplementary. If angle A= 137° then angle B is

Mathematics

1 answer:

maksim [4K]3 years ago

5 0

Answer:

43°

Step-by-step explanation:

Angles A and B are supplementary

i. e. angle A + angle B =180°

137° + angle B =180°

angle B=180°-137°

=43°

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Work out the value of z, given that x+y=42 and x/13=y/8=z/9.

Andru [333]

Answer:

z = 18

x = 26 and y = 16

Step-by-step explanation:

Given:

$x + y = 42$

$\dfrac{x}{13}=\dfrac{y}{8}=\dfrac{z}{9}$

Rewrite $x + y = 42$ to make $y$ the subject:

$\implies y=42-x$

Substitute this into $\dfrac{x}{13}=\dfrac{y}{8}$ :

$\implies \dfrac{x}{13}=\dfrac{42-x}{8}$

Cross multiply:

$\implies 8x=13(42-x)$

$\implies 8x=546-13x$

$\implies 21x=546$

$\implies x=26$

Substitute found value of x into $x + y = 42$ and solve for y:

$\implies 26 + y = 42$

$\implies y=16$

Substitute found value of y into $\dfrac{y}{8}=\dfrac{z}{9}$ and solve for z:

$\implies \dfrac{16}{8}=\dfrac{z}{9}\\\\\implies 2=\dfrac{z}{9}\\\\\implies 18=z$

4 0

2 years ago

Please help i have no idea what are the excluded values to the equation y = 5 / (x^2 - 7x 10)?

Kryger [21]

Hello,

The excluded values are the roots of the denominator.

x²-7x+10=x²-2x-5x+10=x(x-2)-5(x-2)=(x-2)(x-5)

Roots of the denominator are x=2 and x=5

5 0

3 years ago

There are 5 animals in the field. Some are horses and some are ducks. There are 14 legs in all. How many of each animal are in t

wariber [46]

Answer:

2 horses and 3 ducks

Step-by-step explanation:

2 horses*4 legs=8 legs

3 ducks*2 legs=6 legs

Add both

8+6=14 legs

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3 years ago

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3 years ago

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noname [10]

Answer:

The answer is 48

Step-by-step explanation:

x=22

2(22)+4=90

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3 years ago