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Ket [755]
3 years ago
6

A triangle has sides measuring 8 inches and 12 inches. If x represents the length in inches of the third side, which inequality

gives the range of possible values for x?
Mathematics
2 answers:
Degger [83]3 years ago
5 0

Answer:

4<x<20

Step-by-step explanation:

dimaraw [331]3 years ago
3 0
First we can write the equation 8 + 12 > x because according to the triangle property, the sum of any 2 sides have to be greater than the third side && the difference of any two siddes should be smaller than the third side.

So the answer is 4 < x < 20
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Which vector has a greater magnitude?
jonny [76]

Given:

Length of first vector = 2 meters

Length of second vector = 4 meters

To find:

The vector which has a greater magnitude.

Solution:

We know that, magnitude of a vector represents the length of it.

The first vector that is 2 meters long has a magnitude 2.

The second vector that is 4 meters long has a magnitude 4.

Clearly, 4 is greater that 2, i.e., 4 > 2. So, magnitude of second vector is greater.

Therefore, the vector that is 4 meters long has greater magnitude.

7 0
3 years ago
So if jimmy had 8 bananas and ate 3 and then gave 2 away then got 16 back cause his mom went to the store. Then ate 9 then got 6
k0ka [10]
Jimmy would have 9 bananas total.
7 0
3 years ago
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A vehicle purchased for $20,700 depreciates at a constant rate of 7%. Determine the approximate value of the vehicle
Anastaziya [24]

Answer: 20700(.93)^15

Step-by-step explanation:

4 0
4 years ago
Find the missing angle: e.
sattari [20]

Answer: e = 33

Keep referring to the picture to understand which part of the figure I am talking about.

Step-by-step explanation:

So starting from the top triangle, one of the angles are 34 and the triangle looks like an Isosceles (a triangle that has 2 equal angles and sides). So to find the other 2 angles you have to take away the already given angle from 180 (as all angles in a triangle add up to 180 degrees) and divide it by 2. So- 180 - 34 = 146.

146 ÷ 2 = 73- angle of each of the remaining 2 sides.

The left side of that triangle is extended to be part of the quadrilateral (the four sided figure with angle e). So to now solve the top left angle of the quadrilateral which is connected to the triangle you have to takeaway the angle which is part of the triangle from 180 (Angles on a line add to 180) So-

180 - 73 = 107 - angle for the top left part of the quadrilateral.

To find the 3rd angle on the bottom right, you need to solve the angles of the bottom triangle connected to it. Use the same method I have shown for the top triangle as the triangle look like an Isosceles like the other one -

180 - 30 = 150

150 ÷ 2 = 75- angle of each of the remaining 2 sides

Coming back to finding the 3rd angle, you have to use the line at the bottom where you found one of angles now. Use the same angles on the same line rule used before-

180 - 75 = 105- angle for the bottom right of the quadrilateral

You now have all the angles in the quadrilateral except for e which you will find by adding up all the known angles in the quadrilateral and take it away from 360 (all angles in a quadrilateral add to 360) So-

115 + 107 + 105 = 327

360 - 327 = 33

Therefore e = 33

8 0
4 years ago
A pair of earrings has a 130% markup rate based on cost. The selling price is $77.77. What is the cost to the nearest cent?
saveliy_v [14]

Answer:

The original cost is $59.82

Step-by-step explanation:

x(1.3)=77.77

x=59.82

3 0
3 years ago
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