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patriot [66]
2 years ago
8

Oliver has a box of toy cars, but he is not sure how many he has. If he arranges the cars in groups of four, he has three left o

ver. If he arranges them in groups of 3, he has two left over and there are three left over when he puts them in groups of five. Oliver definitely doesn’t have any more than 30 cars, so how many does he have?
Mathematics
1 answer:
Zarrin [17]2 years ago
7 0
X/4 = r3 or 3/4
x/3 = r2 or 2/3
x/5 = r3 or 3/5

we know x is not divisible by 4 3 or 5 and is less than 30.

we know the value ends in 3 or 8 from x/5 = r3

we know the value is greater than 3 from r3

so far we got 13 and 23

13 is eliminated from x/4 = r3 because it is r1 not r3

so the answer is 23




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Triangle SQT is isosceles. The measure of angle STQ is 48°. Triangle S Q T is cut by perpendicular bisector T R. The lengths of
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Answer:

m\angle STR=24^o

Step-by-step explanation:

we know that

m\angle STQ=m\angle STR+m\angle RTQ ---> by addition angle postulate

we have

m\angle STQ=48^o ----> given problem

m\angle STR=m\angle RTQ ----> given problem

substitute in the expression above

48^o=2m\angle STR

Divide by 2 both sides

m\angle STR=24^o

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2 years ago
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What is the measure of Angle J K L? Triangle J K L . The exterior angle to angle K has a measure of 83 degrees. 83 degrees 97 de
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Answer:

The measure of angle JKL is 97 degrees.

Step-by-step explanation:

Given:

A triangle JKL .

Measure of exterior angle K = 83 degrees

We have to find the measure of \angle JKL .

In (\triangle\ JKL) we see that the exterior angle is in linear pair with \angle JKL .

Note:

Linear pair angles sum is 180 degree.

Let \angle JKL be 'x' degrees .

So,

⇒ x+83=180

⇒ <em>Subtracting 83 from both sides.</em>

⇒ x+83-83=180-83

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The triangle shown below has an area of 121212 units^2 <br> 2<br> squared.<br> Find xxx.
dalvyx [7]

Answer:

4

Step-by-step explanation:

Let's set up an equation using the formula for the area of a triangle.

Hint #22 / 3

\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height}\\\\ 12&= \dfrac12 \cdot 6 \cdot x \\\\ 12&= 3x \\\\ \dfrac{12}{\blueD{3}}&= \dfrac{3x}{\blueD{3}} ~~~~~~~\text{divide both sides by } {\blueD{ 3}}\\\\ \dfrac{12}{\blueD{3}}&= \dfrac{\cancel{3}x}{\blueD{\cancel{3}}}\\\\ x &=\dfrac{12}{\blueD{3}}\\\\ x &=4\end{aligned}  

Area of a triangle

12

12

3

12

​  

 

3

12

​  

 

x

x

​  

 

=  

2

1

​  

⋅base⋅height

=  

2

1

​  

⋅6⋅x

=3x

=  

3

3x

​  

       divide both sides by 3

=  

3

​  

 

3

​  

x

​  

 

=  

3

12

​  

 

=4

​  

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1/20, 1 in 20 turns,...............
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