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egoroff_w [7]
3 years ago
5

Refer to the diagram below. If m

Mathematics
1 answer:
Debora [2.8K]3 years ago
4 0
The correct answer is 85
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Add fractions and simplify the answer 1/2 + 2/3
IrinaVladis [17]
\frac{1}{2} +\frac{2}{3} =\\\\ \frac{1\times 3}{2\times3} + \frac{2\times2}{3\times2} =\\\\\frac{3}{6} +\frac{4}{6}=\\\\\frac{7}{6} =\\\\ 1\frac{1}{6}\\\\ \frac{1}{2} +\frac{2}{3} =\boxed{\bf{\frac{7}{6} = 1\frac{1}{6}}}
7 0
3 years ago
Read 2 more answers
13. In the triangle below, the sides have length x + 3, 3x - 1. and 4x. Determine the range of possible
11Alexandr11 [23.1K]

Answer:

Hence as long as x > 2/3, we can form a triangle from the three given sides.

Step-by-step explanation:

Given:

Length of 3 sides of triangle are x+3, 4x,3x-1

Solution:

From the length of the 2nd side 4x, we know that x > 0

Let this be 1 st statement.

Now from the triangle inequality we can say that;

x + 3 + 4x > 3x -1\\5x+3>3x-1\\5x-3x>-1-3\\2x>-2\\x>-1

No new information from this because of the 1st statement above.

Also,  

4x + 3x - 1 > x +3\\7x-1>x+3\\7x-x>3+1\\6x>4\\x>\frac{4}{6}\\\\x>\frac{2}{3}

Lastly,

x+3 +3x - 1 > 4x\\4x-2>4x\\4x-4x>2\\0>2

and again no new information is obtained from this inequality.

Hence as long as x > 2/3, we can form a triangle from the three given sides.

7 0
3 years ago
The area of one triangle is 150 square centimeters when it's height is 20 centimeters and it's base length is 15 centimeters. Wh
Anna007 [38]
Formula for finding the area of a triangle: A = \frac{1}{2}bh
Where b is the base and h is the height.

Substitute the variables for the values.

A = \frac{1}{2}(30)(18)
A = \frac{1}{2}540
A = 270

So, the area is 270 square centimeters.


3 0
3 years ago
Which expression is equivalent to 15 plus 3 x?
Dmitrij [34]

Answer:

3(5+x)

Step-by-step explanation:

Another expression that can equal 15+3x is 3(5+x)

<u>Use Distributive Property:</u>

3(5+x)

=15 + 3x.

I wish you the best of luck, and hopefully this is an option on your homework!

3 0
3 years ago
PLS HELP In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠P ≅ ___
GaryK [48]
The answer is ∠S …..
5 0
3 years ago
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