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s344n2d4d5 [400]
3 years ago
13

Four angles are formed by the intersection of the diagonals of this quadrilateral. Which statement is NOT true?

Mathematics
2 answers:
love history [14]3 years ago
6 0
M<1 = m < 2, that is what I think the answer is
Volgvan3 years ago
5 0

Answer:

4. The statement: m\angle 1=m\angle 2 is not true.

Step-by-step explanation:

We have been given a graph of a quadrilateral and four angles formed by the intersection of the diagonals of this quadrilateral. We are asked to find the statement that is not true about our given angles.

Let us see our given choices one by one.

1. \angle 1\text{ and }\angle 2 are adjacent.

We can see that angle 1 and angle 2 are next to each other, therefore, 1st option is true.

2. m\angle 2=180^o-120^o.

We can see from our given diagram that angle 2 and the angle with measure 180 degrees are linear pair of angles, so they will add up-to 180 degrees.

m\angle 2+120^o=180^o

Upon subtracting 120 degrees from both sides of our equation we will get,

m\angle 2+120^o-120^o=180^o-120^o

m\angle 2=180^o-120^o

Therefore, 2nd option is also true.

3. m\angle 1=120^o because angle 1 and the 120 degree angle are vertical angles.

Since we know that vertical angles are equal, therefore, option 3rd option is true indeed.

4. m\angle 1=m\angle 2

We can find measure of angle 2 by using the equation:

m\angle 2=60^o

Since measure of angle 1 is 120 degrees and measure of angle 2 is 60 degrees, therefore, 4th statement is not true.

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5) You and a friend live 4 miles apart. You hear the sound of thunder 18 seconds before your friend hears it. Assuming sound tra
Leokris [45]

Answer:

  see attached

Step-by-step explanation:

At 1100 ft per second for 18 seconds, the sound travels 19,800 ft, or 3.75 miles farther to my friend's house. The set of points that lie 3.75 miles farther from my friend's house than from my house form a hyperbolic curve. This is illustrated by the blue line in the attached graph. (My house is the red dot on the left; my friend's house is the red dot on the right.)

The lightning occurred somewhere on the blue curve.

___

If the lightning occurred on the line between our houses, it was 1/8 mile from my house and 3 7/8 mile from my friend's house. (That's close!)

_____

The formula for the curve in the graph is the distance formula applied to the set of points (x, y). It equates the difference of distance from the two houses to 3.75 miles. If one were to write the equation of the hyperbola in standard form, the equation would look a little different and a restriction would need to be applied so the formula would describe only one branch of the hyperbola.

3 0
2 years ago
-8 ( y + 4 ) = 10y + 4
maks197457 [2]
Let's solve your equation step-by-step.<span><span>−<span>8<span>(<span>y+4</span>)</span></span></span>=<span><span>10y</span>+4

</span></span>Step 1: Simplify both sides of the equation.<span><span>−<span>8<span>(<span>y+4</span>)</span></span></span>=<span><span>10y</span>+4

</span></span><span>Simplify: </span><span><span><span><span>(<span>−8</span>)</span><span>(y)</span></span>+<span><span>(<span>−8</span>)</span><span>(4)</span></span></span>=<span><span>10y</span>+4</span></span>(Distribute)<span><span><span><span>−<span>8y</span></span>+</span>−32</span>=<span><span>10y</span>+4</span></span><span><span><span>−<span>8y</span></span>−32</span>=<span><span>10y</span>+4

</span></span>Step 2: Subtract 10y from both sides.<span><span><span><span>−<span>8y</span></span>−32</span>−<span>10y</span></span>=<span><span><span>10y</span>+4</span>−<span>10y</span></span></span><span><span><span>−<span>18y</span></span>−32</span>=4

</span>Step 3: Add 32 to both sides.<span><span><span><span>−<span>18y</span></span>−32</span>+32</span>=<span>4+32</span></span><span><span>−<span>18y</span></span>=36

</span>Step 4: Divide both sides by -18.<span><span><span>−<span>18y</span></span><span>−18</span></span>=<span>36<span>−18</span></span></span><span>y=<span>−2

</span></span>Answer:<span>y=<span>−<span>2

Good luck mate :P
</span></span></span>
7 0
3 years ago
Read 2 more answers
ROUND of 1,637,984 OFF to two decimal places​
natka813 [3]

Answer:

1,637,984.00

Step-by-step explanation:

5 0
3 years ago
Solve the following equation (If possible please show work)
irina [24]

Answer:

<em>x = 5</em>

Step-by-step explanation:

5(x + 4) - 8 = x + 32

5x + 20 - 8 = x + 32

5x + 12 = x + 32

5x - x + 12 = 32

5x - x = 32 - 12

4x = 32 - 12

4x = 20

x = 5

Hope this helped! :)

4 0
3 years ago
A phone company used to charge $30 per month plus $0.50 per text message for phone service. However, the company did not charge
storchak [24]

I would say the last one


3 0
3 years ago
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