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alex41 [277]
1 year ago
10

12) Mary is 5 years older than Bob. If the sum of their ages is 39, write and solve an equation to find their ages.

Mathematics
1 answer:
Andreas93 [3]1 year ago
7 0

Bob age =x

Mary age= x+5

If we sum the ages

x+(x+5)=39

2x+5=39

then we clear x

2x=39-5

2x=34

x=34/2

x=17

Bob age =17

Mary age=17+5=22

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Answer:

The correct option is C).

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The equation of line is given by y=mx+c.

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Given that line has slope

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y=\frac{-1}{2}x+3

To plot the line we need at least two points

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3 years ago
Which hill described in the table is the steepest and why?
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3 0
3 years ago
4. Find the solution to the equation below.<br> please finish<br> this<br> problem
velikii [3]

Answer:

w = 12

Step-by-step explanation:

We are given the equation:

\displaystyle{\dfrac{w-2}{4} = \dfrac{2w+1}{10}}

First, clear out the denominators by multiplying both sides by LCM. In this scenario, our LCM is 40. Thus, multiply both sides by 40:

\displaystyle{\dfrac{w-2}{4} \cdot 40= \dfrac{2w+1}{10} \cdot 40}

Simplify the expressions/equations:

\displaystyle{(w-2)\cdot 10= (2w+1)\cdot 4}\\\\\displaystyle{10w-20= 8w+4}

Isolate w-variable:

\displaystyle{10w-20= 8w+4}\\\\\displaystyle{10w-8w=4+20}\\\\\displaystyle{2w=24}\\\\\displaystyle{w=12}

Hence, the solution is w = 12

If you have any questions regarding my answer or explanation, do not hesitate to ask away in comment!

4 0
2 years ago
There are 2 more angles. m angle 7 and m angle 8
Licemer1 [7]
ANSWER:

A and B aren't parallel lines, as the alternate angles aren't equivalent to each other.

For m angle 1 -

Vertically opposite angles are equivalent to each other.

m angle 1 is vertically opposite m angle 4.

Therefore:

m angle 4 = 100

m angle 1 = m angle 4

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For m angle 6 -

Co-interior angles add up to 180°.

m angle 4 and m angle 6 are co-interior angles.

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For m angle 7 -

Vertically opposite angles are equivalent to each other.

m angle 6 is vertically opposite m angle 7.

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For m angle 8 -

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m angle 8 and m angle 4 are corresponding angles.

Therefore:

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m angle 8 = m angle 4

m angle 8 = 100

Hence, the angles are as follows:

m angle 1 = 100

m angle 6 = 80

m angle 7 = 80

m angle 8 = 100

Hope this helps! <3
5 0
3 years ago
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