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aliina [53]
3 years ago
15

What is a supplementary angle?

Mathematics
2 answers:
o-na [289]3 years ago
8 0

Supplementary angles are angles that usually share a common side, but they don't have to. If you joined them together, they would measure a straight angle and together they form a straight angle which measures 180°. If the sum of the measures of two angles is 180°, then the angles are classified as supplementary angles.

An example of a supplementary angle is provided in the image attached.

Lelu [443]3 years ago
5 0

Either of two angles whose sum is 180 degrees

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zhuklara [117]

Step-by-step answer:

Given:

A triangle

Perimeter  = 60 cm

longest side = 4* shortest side (x)

Solution:

longest side = 4x

shortest side = x

third (intermediate side = 60 -x -4x = 60-5x

The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle.  Hence

x + y > 4x

x + 60-5x > 4x

60 - 4x > 4x

8x < 60

x < 60/8 = 7.5, or

x < 7.5

Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.

Examine the options: both 7 and 5 are both less than 7.5 cm.

40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.

Now also examine cases where 4x is NOT the longest side, in which case we need

4x>=y

or

4x >= 60-5x

9x >=60

x >= 6.67

so x=5 will not qualify, because 4x will no longer be the longest side.

The only valid option is x=7 cm

The side lengths for x=7 and x=5 are, respectively,

(7, 25, 28)

5, 20, 35  (in which case, the longest side is no longer 4x=20, so eliminated)

7 0
3 years ago
What slope does a vertical line have
Anika [276]
The slope on a vertical line will be 0

5 0
3 years ago
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Triangle EFG is dilated by a scale factor of one half centered at (1, 1) to create triangle E'F'G'. Which statement is true abou
olganol [36]

Answer:

A triangle is dilated by scale factor of 1/5

Step-by-step explanation:

A triangle has three sides. All the corresponding angles of triangle must be congruent. When the triangle is dilated it is rotated 90 degrees clockwise about its origin. The shape of the triangle will not change due to rotation of dilation.

6 0
3 years ago
A leaky faucet is losing water and is filling a 8-gallon bucket every 25 hours.At this rate,how many gallons of water will the f
Angelina_Jolie [31]

The rate of 8 gallons every 25 hours means that the faucet fills \frac{8}{25} gallons every hour.

Multiply the unit rate for the number of hours you're interested in to find

\dfrac{8}{25}\cdot 13 = \dfrac{104}{25}

6 0
3 years ago
Plssss answer this question
KatRina [158]
You just do 280 x 1.17= 327.6

Answer: €327.6
6 0
2 years ago
Read 2 more answers
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