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2 years ago

(05.02)How many triangles can be made if one angle is 95° and another angle is obtuse? 1 2 More than 2 None

Mathematics

2 answers:

ehidna [41]2 years ago

8 0

Answer:

None

Step-by-step explanation:

We need to know what is obtuse angle

<em>Obtuse angle is the angle that is bigger than 90 degrees and smaller than 18- degrees. </em>

The characteristic of a triangle is that sum of the 3 angles are equal to 180°. Unfortunately, given in the question that one angle is 95° and the other is obtuse (> 90°) so the sum of them is obviously bigger than 180°. So it is impossible to form a triangle.

Hope it will find you well.

Firlakuza [10]2 years ago

3 0

D. None. Say the obtuse angle is 100 degrees. Since the sum of all angles in a triangle cannot be bigger than 180, it's not possible because 195 (100+95) is greater than 180 degrees.

Hope this helps!!!!!!

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Universal Pet house sells vinyl doghouse and treated lumber doghouses. It takes the company 5 hours to build a vinyl doghouses a

LuckyWell [14K]

Answer:

The system of equations is :

Equation 1- $5x+2y=50$

Equation 2- $x+2y=30$

Number of vinyl doghouse = 5

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Step-by-step explanation:

Let x be the number of vinyl doghouses

y be the number of treated lumber doghouses

→If it takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards assembling and painting doghouses.

Equation 1- $5x+2y=50$

→It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company dedicates 30 hours every week towards assembling and paining dog houses.

Equation 2- $x+2y=30$

→When we solve these equation we get the number of vinyl doghouse and treated lumber doghouse.

Subtract equation 2 from equation 1

$5x+2y-x-2y=50-30$

$4x=20$

$x=\frac{20}{4}$

$x=5$

Put value of x in equation 2

$x+2y=30$

$5+2y=30$

$2y=25$

$y=\frac{25}{2}$

$y=12.5$

Therefore, number of vinyl doghouse = 5, number of treated lumber doghouse =12.5

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Answer:

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Step-by-step explanation:

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