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dalvyx [7]
3 years ago
15

Two angles of a quadrilateral measure 40° and 180°. The other two angles are in a ratio of 13:15. What are the measures of those

two angles?
Mathematics
1 answer:
Mama L [17]3 years ago
5 0

Step-by-step explanation:

<em>Two </em><em>angles </em><em>are </em><em>given </em>

<em>1st </em><em>angle </em><em>=</em><em> </em><em>4</em><em>0</em><em>°</em><em> </em><em> </em><em>2nd </em><em>angle </em><em>=</em><em> </em><em>1</em><em>8</em><em>0</em><em>°</em>

<em>And </em><em>let </em><em>other </em><em>two </em><em>angels </em><em>be </em><em>1</em><em>3</em><em> </em><em>x </em><em>and </em><em>15x</em>

<em>4</em><em>0</em><em>°</em><em> </em><em>+</em><em> </em><em>18</em><em>0</em><em>°</em><em> </em><em>+</em><em> </em><em>13x </em><em>+</em><em> </em><em>15x </em><em>=</em><em> </em><em>3</em><em>6</em><em>0</em><em>°</em><em> </em><em><</em><em>Being </em><em>sum </em><em>of </em><em>angles </em><em>of </em><em>quadrilateral </em><em>></em>

<em>2</em><em>2</em><em>0</em><em>°</em><em> </em><em>+</em><em> </em><em>28x</em><em> </em><em>=</em><em> </em><em>3</em><em>6</em><em>0</em><em>°</em>

<em>28x </em><em>=</em><em> </em><em>3</em><em>6</em><em>0</em><em>°</em><em> </em><em>-</em><em> </em><em>2</em><em>2</em><em>0</em><em>°</em>

<em>28x </em><em>=</em><em> </em><em>1</em><em>4</em><em>0</em><em>°</em>

<em>x </em><em>=</em><em> </em><em>1</em><em>4</em><em>0</em><em>°</em><em> </em><em>/</em><em> </em><em>28</em>

<em>Therefore </em><em>x </em><em>=</em><em> </em><em>5</em><em>°</em>

<em>Measures </em><em>of </em><em>two</em><em> </em><em>angles </em>

<em>13x </em><em>=</em><em> </em><em>1</em><em>3</em><em> </em><em>*</em><em> </em><em>5</em><em>°</em><em> </em><em>=</em><em> </em><em>6</em><em>5</em><em>°</em>

<em>15x </em><em>=</em><em> </em><em>1</em><em>5</em><em> </em><em>*</em><em> </em><em>5</em><em>°</em><em> </em><em>=</em><em> </em><em>7</em><em>5</em><em>°</em>

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What is the measure of
Kamila [148]

Answer:

64.4

Step-by-step explanation:

In one of the trig formulas, it states    sin <a/A = sin<b/B = sin<c/C

So we have in this case:

sin(70)/12 = sin x/14           Note: x is just a variable for the angle <ABC

14(sin70)/12 = sin x

sin^-1(14(sin70)/12) = x

x=64.4

Your welcome, and comment if you have any questions! :D

6 0
2 years ago
9 inches of ribbon are needed for wrapping each present. How many presents can be wrapped with 6 yards of ribbon?
netineya [11]

Answer:

a total of 24 presents can be wrapped

Step-by-step explanation:

6 x 3 = 18 feet of ribbon

18 x 12 = 216 inches of ribbon

216/9 = 24 presents can be wrapped

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Jaimie purchased a condo at naples Florida for 699000. She put 20 % down and financed the rest at 5% for 35 yrs what are Jaime t
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6 0
3 years ago
What is 6 to the 4 power times 6 to the 4th power?
alexdok [17]

Answer:

Your answer is 1679616

Step-by-step explanation:

6 x 6 x 6 x 6=1296

6 x 6 x 6 x 6=1296

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6 0
3 years ago
Solve 6x+57=2x+315 . A. x=−911 B. x=911 C. x=119 D. x=−119
liubo4ka [24]

Explanation:

Remember: we have to isolate the variable x, so that means we have to get x by itself.

Step 1:

Let’s look at our equation:

6x+57=2x+315

Let’s subtract 2x from both sides of the equation, since our goal is to isolate the variable. You could also subtract 6x from both sides, but you would end up with a negative number, and I find it easier to deal with positive numbers.

6x(-2x)+57=2x(-2x)+315\\4x+57=315

Step 2:

Now, let’s subtract 57 from both sides of our equation.

4x+57(-57)=315(-57)\\4x=258

Step 3:

Since we have to isolate x, let’s divide both sides of the equation by 4.

4x/4=x\\258/4=64.5

Our final answer: x = 64.5

None of your options is the correct answer. Notify your teacher, tutor, etc. since there none of the options are correct.

4 0
3 years ago
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