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Lapatulllka [165]
3 years ago
6

Without actually drawing the figure, could you form a triangle using side lengths 7, 8, and 18 units? Why or why not.

Mathematics
2 answers:
Marysya12 [62]3 years ago
7 0

Answer:

Step-by-step explanation:

ZanzabumX [31]3 years ago
6 0
Here is an example you can learn from.

#1:   Is it possible to form a triangle with the given side lengths? If not, explain why not. 1. 5 cm, 7 cm, 10 cm SOLUTION:   The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5 ANSWER:   Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5

2. 3 in., 4 in., 8 in. SOLUTION:   No; . The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ANSWER: 3+4*8

3. 6 m, 14 m, 10 m SOLUTION:   Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6 .  The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ANSWER:   Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6 

4. MULTIPLE CHOICE If the measures of two sides of a triangle are 5 yards and 9 yards, what is the least possible measure of the third side if the measure is an integer? A 4 yd B 5 yd C 6 yd D 14 yd SOLUTION:   Let x represents the length of the third side. Next, set up and solve each of the three triangle inequalities. 5 + 9 > x, 5 + x > 9, and 9 + x > 5 That is, 14 > x, x > 4, and x > –4. Notice that x > –4 is always true for any whole number measure for x. Combining the two remaining inequalities, the range of values that fit both inequalities is x > 4 and x < 14, which can be written as 4 < x < 14. So, the least possible measure of the third side could be 5 yd.  The correct option is B. ANSWER:   B 
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Solve the solution. How many solutions does it have? 4(2x-3)=2(4x-6)
sdas [7]

Answer:

No solutions

Step-by-step explanation:

4(2x-3)=2(4x-6)

4(2x-3)=2 \times 2(2x-3) \\  \\ 4(2x-3)=4(2x-3)

Same components are present on both sides of equal sign, therefore NO SOLUTIONS are possible.

7 0
3 years ago
When a parabola represented by the equation y - 2x 2 = 8 x + 5 is translated 3 units to the left and 2 units up, the new parabol
amid [387]
<span>First rewrite y - 2x<span> 2</span> = 8 x + 5 as</span> 

y = 2x<span> 2</span><span> + 8 x + 5 </span>

Complete square and determine vertex. 

y = 2(x<span> 2</span><span> + 4x + 4) - 8 + 5 </span>

= 2(x + 2)<span> 2</span><span> - 3 </span>

<span>vertex at (- 2 , - 3) </span>

If parabola is translated 3 units to the left and 2 units up its vertex is also translated 3 units to the right and 2 units up . 

<span>vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)</span>
4 0
3 years ago
Read 2 more answers
Please help me with this MATH question.
olasank [31]

Answer:

Step-by-step explanation:

41

6 0
3 years ago
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Will give brainly,5 stars,and thanks
Irina-Kira [14]

Answer:

Give the person above me brainliest

Step-by-step explanation:

6 0
2 years ago
Find the total area of the entire figure. *
bonufazy [111]

Answer:

392.5 in²

Step-by-step explanation:

This figure is consists of a trapezium and a rectangle.

So, to find the total area of the figure you have to find the area of the trapezium and the rectangle separately  and add them together.

Let us find now.

<u>Area of the Trapezium</u>

Area = \frac{1}{2} × ( sum of the parallel sides ) × height

Area = \frac{1}{2} × (  9 + 20 ) × 5

Area = \frac{1}{2} × 29 × 5

Area = \frac{1}{2} × 145

Area = 72.5 in²

<u>Area of the rectangle</u>

Area = Length × Width

Area = 20 × 16

Area = 320 in²

<u>Total area of the figure</u>

Total area = Area of the trapezium + Area of the rectangle

Total area = 72.5 in² + 320 in²

Total area = 392.5 in²

Hope this helps you :-)

Let me know if you have any other questions :-)

6 0
2 years ago
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