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vladimir1956 [14]
3 years ago
5

I need help sorry for bothering everyone. Two supporting reasons are missing from the proof. Complete the proof by dragging and

dropping the appropriate reasons into each of the empty boxes. Given: m∥nm∠2=60° Prove: m∠7=120

Mathematics
2 answers:
attashe74 [19]3 years ago
6 0
Since ∠2=60° = ∠8 so it will also be 60 °
the sum of the both are 60°+∠7=180°
∠7= 180°- 60° = 120°
inna [77]3 years ago
3 0

Answer:

Given:

m \parallel n\\m\angle 2 = 60\°

Prove:

m\angle 7 = 120\°

1. m \parallel n\\m\angle 2 = 60\° , by Given.

2. m\angle 2 = m\angle 8, by Alternate Exterior Angles Theorem.

3. m\angle 8= 60\°, by substitution.

4. m\angle 8 + m\angle 7 = 180\°, by Straight Angle Definition and Supplementary Angle Theorem.

5. 60\° +m\angle 7 = 180\°\\m\angle 7= 180\° - 60\°\\m\angle 7= 120\°, by substitution.

\therefore m\angle 7 = 120\°

It's important to remember that Alternate Exterior Angles are those which are placed outside the parallels and at different sides of the transversal, and these angles are always congruent.

Additionally, the definition of a straight angle is that this angle is equal to 180°, and supplementary angles theorem states that adjacent angles that sum 180° are supplementary one each other.

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A line passes through the point (-6, -8) and has a slope of 3/2
garri49 [273]

Answer:

y=3/2(x) -1, or y = 1.5x - 1

Step-by-step explanation:

To write the equation in slope-intercept form, you have to determine the y-intercept for the line. Since you have the slope and at least one ordered pair, you can find this by substituting the points and slope into this formula:

y=mx+b.

For this particular line, you would write:

-8 = 3/2(-6)+b

-8 = -18/2 + b

-8 = -9 + b

add 9 to both sides to isolate the b

-1 = b.

Now that you have the answer for b (-1), you can write the equation as:

y=3/2(x) -1

7 0
3 years ago
One brother eats 3/5and the other brother eat 3/10 of the cereal how much more does the other brother eat
WITCHER [35]
In this question there are information's of immense importance and that can go a long way in helping to solve the given question. It is given that one brother eats 3/5 of the cereal and the other brother eats 3/10 of the cereal. The answer that needs to be found is that the amount of cereal the other brother eats more.
The amount of cereal eaten more by the other brother = (3/5) - (3/10)
                                                                                       = ( 6 - 3)/ 10
                                                                                       = 3/10
So the other brother does not eat more, but the first brother has eaten 3/10 more than the other brother.
6 0
3 years ago
Read 2 more answers
When solving proportions, we set the cross products equal and then we ________.
Olin [163]
Multiply each number across from another
6 0
3 years ago
One number is four more than five times another. If their sum is increased by one, the result is thirty-five. Find
Veseljchak [2.6K]

Answer:

x=4+5yif sum is increased by 3 (x+y+3), result is 31x+y+3=31minus 3 both sidesx+y=28x=4+5y subsiutute4+5y+y=284+6y=28minus 4 both sides6y=24divide by 6y=4sub backx=4+5yx=4+5(4)x=4+20x=24the numbers are 24 and 4

Step-by-step explanation:

If I helped you


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2 years ago
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Use a triple integral to find the volume of the given solid. the solid enclosed by the cylinder x2 + y2 = 9 and the planes y + z
Alexxx [7]
Using cylindrical coordinates, we have

\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=\zeta\end{cases}

so that the Jacobian gives

\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm d\theta\,\mathrm d\zeta

The volume is given by the triple integral

\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=3}\int_{\zeta=2}^{\zeta=14-r\sin\theta}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta
=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=3}r(14-r\sin\theta-2)\,\mathrm dr\,\mathrm d\theta
=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=3}(12r-r^2\sin\theta)\,\mathrm dr\,\mathrm d\theta
=\displaystyle\int_{\theta=0}^{\theta=2\pi}(54-9\sin\theta)\,\mathrm d\theta
=108\pi
6 0
3 years ago
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