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3 years ago

Measure the angle of 10x+10

Mathematics

1 answer:

Elena L [17]3 years ago

7 0

Answer:

We know that opposite angle are congruent.

$10x + 10 = 11x + 3 \\ \\ 10x - 11x = - 7 \\ - x = - 7 \\ x = 7$

So, We found out that x = 7,

So, Putting x = 7 in 10x+10

$10 \times 7 + 10 \\ \\ = 70 + 10 \\ \\ = 80$

So, The measure of angle 10x+10 is 80.

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Mia and Holly can clean their room in 20 min, working together. Mia, working alone, can do the job in 30 min. How many minutes w

Sindrei [870]

Answer:

Option B. is correct

Step-by-step explanation:

Let $x$ denotes time taken by Mia alone to clean the room and $y$ denotes time taken by Holly alone to clean the room.

As Mia and Holly can clean their room in 20 min, working together,

$\frac{1}{x}+\frac{1}{y} =\frac{1}{20}\,\,\,...(i)$

Also,

Mia, working alone, can do the job in 30 min.

So,

$\frac{1}{x}=\frac{1}{30}\,\,\,\,\,...(ii)$

Put (ii) in (i)

$\frac{1}{30}+\frac{1}{y}=\frac{1}{20}\\\frac{1}{y}=\frac{1}{20}-\frac{1}{30}\\\frac{1}{y}=\frac{3-2}{60} \\\frac{1}{y}=\frac{1}{60}$

Therefore,

Holly can clean the room alone in 60 minutes.

Option B. is correct

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3 years ago

Y=-1,X+2y=-6 solve by substitution show all work

aev [14]

Answer:

$x=-4$

Step-by-step explanation:

$x+2y=-6$

$y=-1$

_________

$x+2\left(-1\right)=-6$

$x-2\times \:1=-6$

Multiply: 2*1= 2

$x-2=-6$

Add 2 to both sides:

$x-2+2=-6+2$

$x=-4$

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