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3 years ago

15

Alina and Joe are both thinking of the same positive number. Alina tells Joe that her number is a factor of 9, while he tells he

r that it is a factor of 12. If the number is not 1, what is it?

2 answers:

Andre45 [30]3 years ago

7 0

It is 3, given that
$3 \times 3 = 9$
and
$3 \times 4 = 12$

vovikov84 [41]3 years ago

3 0

9 and 12 have a factor of 3

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-3/v=-6 simply as much as possible

Aleksandr [31]

Hey!

In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.

<em>Original Equation :</em>
$\frac{-3}{v} = -6$

<em>New Equation {Added Multiply Both Sides by V} :</em>
$\frac{-3}{v} v=-6v$

<em>Solution {New Equation Solved} :</em>
$-3 = -6v$

Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.

<em>Old Equation :</em>
$-3 = -6v$

<em>New Equation {Switched} :</em>
$-6v=-3$

Now we'll divide both sides by v to get v on its own.

<em>Old Equation :</em>
$-6v = -3$

<em>New Equation {Added Divide Both Sides by V} :</em>
$\frac{-6v}{v} = \frac{-3}{v}$

<em>Solution {New Equation Solved} :</em>
$v = \frac{1}{2}$

<em>So, this means that in the equation $\frac{-3}{v} =-6$ ,</em> $v = \frac{1}{2}$ .

Hope this helps!

- Lindsey Frazier ♥

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3 years ago

Round 18.194 to the place named tenth hundred ones

Novay_Z [31]

tenth place: 18.2

hundredth place: 18.19

one place: 18

tens place: 20

hundred place: 0

I didn't know which one you needed so I did a bunch

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3 years ago

Find the value of x in each case: Given: Iso. ΔABC, HM ∥DG Find: x, m∠CAB, m∠CBA

AleksAgata [21]

1. Start with ΔCIJ.

∠HIC and ∠CIJ are supplementary, then m∠CIJ=180°-7x;
the sum of the measures of all interior angles in ΔCIJ is 180°, then m∠CJI=180°-m∠JCI-m∠CIJ=180°-25°-(180°-7x)=7x-25°;
∠CJI and ∠KJA are congruent as vertical angles, then m∠KJA =m∠CJI=7x-25°.

2. Lines HM and DG are parallel, then ∠KJA and ∠JAB are consecutive interior angles, then m∠KJA+m∠JAB=180°. So

m∠JAB=180°-m∠KJA=180°-(7x-25°)=205°-7x.

3. Consider ΔCKL.

∠LFG and ∠CLM are corresponding angles, then m∠LFG=m∠CLM=8x;
∠CLM and ∠CLK are supplementary, then m∠CLM+m∠CLK=180°, m∠CLK=180°-8x;
the sum of the measures of all interior angles in ΔCLK is 180°, then m∠CKL=180°-m∠CLK-m∠LCK=180°-(180°-8x)-42°=8x-42°;
∠CKL and ∠JKB are congruent as vertical angles, then m∠JKB =m∠CKL=8x-42°.

4. Lines HM and DG are parallel, then ∠JKB and ∠KBA are consecutive interior angles, then m∠JKB+m∠KBA=180°. So

m∠KBA=180°-m∠JKB=180°-(8x-42°)=222°-8x.

5. ΔABC is isosceles, then angles adjacent to the base are congruent:

m∠KBA=m∠JAB → 222°-8x=205°-7x,

7x-8x=205°-222°,

-x=-17°,

x=17°.

Then m∠CAB=m∠CBA=205°-7x=86°.

Answer: 86°.

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What is the formula for a triangular pyramid?

AlladinOne [14]

Hello Takeover, I believe the formula for a triangle prism is V= 1/2 a c h

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3 years ago

Is 0, 2, 4, 6, a arithmetic sequence

amid [387]

Yes, 0 + 2 = 2
2 + 2 = 4
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Since they're just ADDING 2, not MULTIPLYING by 2, it's arithmetic, not geometric.

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2 years ago

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