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IceJOKER [234]
3 years ago
12

10.) Write -1/6 , 5/3 , -5/6 in order from least to greatest

Mathematics
1 answer:
never [62]3 years ago
6 0

Answer:

Least→Greatest

-5/6, -1/6, 5/3

Step-by-step explanation:

-5/6 =  -0.8333333333333333

-1/6 =  -0.1666666666666667

5/3 =    1.6666666666666667

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I need help with 5-11
Damm [24]

Step-by-step explanation:

5.

in an equilateral triangle all 3 sides are equally long. but that also means that all 3 angles are equal. and as the sum of all angles in a triangle has to be 180°, that means that each of the 3 Angie's is 180/3 = 60°.

so, KML = 60°.

6.

HMK = 50°, KML = 60°.

all angles around M on one side of the line LG must have 180° in total too.

so,

HMG = 180 - 50 - 60 = 70°

7.

since GHM is isoceles (GH and MH are equal), it means also that the angles at M and at G must be equal.

HMG = 70°

therefore, HGM = 70°

again, the sum of all angles in a triangle must be 180°, so

GHM = 180 - 70 - 70 = 40°.

8.

again, in an isoceles triangle also the 2 "bottom" angles are equal. and together with the 180 sum rule we get

MHJ = (180 - 145)/2 = 35/2 = 17.5°.

9.

if now the angle at G is 67°, then again, the angle at M must be equal (67°). and then again based on the 180 rule we get

GHM = 180 - 67 - 67 = 46°.

10.

since the 2 angles "at the bottom" are equal, it means ADE is an isoceles triangle.

since BC is parallel to DE, it means that ADE and ABC are similar triangles. and that means the corresponding angles are the same. and that means that the angles 3 and 4 are equal, and therefore ABC is an isoceles triangle. and that means that both legs AB and AC are equal.

11.

again, in an isoceles triangle the 2 base angles are equal. and together with the usual 180 rule that means

base angle = (180 - 18)/2 = 162/2 = 81°.

3 0
2 years ago
The average distance of the sun from Earth is about 1.5 x 108 kilometers.
Nataliya [291]

Answer:

10⁵ billion

Step-by-step explanation:

given that distance from sun to earth

= 1.5 x 10⁸ km    (we need to convert this to millimeters)

= 1.5 x 10⁸ km x  1 million mm per km

= 1.5 x 10⁸ km x  1,000,000 mm/km

= 1.5 x 10⁸ km x  10⁶ mm/km

= 1.5 x 10⁸ x  10⁶

= 1.5 x 10⁽⁸ ⁺ ⁶⁾

= 1.5 x 10¹⁴ mm

also given that a quarter is 1.5mm thick, hence the number of quarters that will span the distance between the sun an earth (i.e 1.5 x 10¹⁴ mm)

= 1.5 x 10¹⁴ mm ÷ 1.5 mm/quarter

= 10¹⁴

= 100,000,000,000,000    (remember that a billion has 9 zeros)

= 100,000 billion

= 10⁵ billion

7 0
3 years ago
Use pi=3<br> Calculate the area of a circle with a diameter of 10cm
GalinKa [24]
Area of a circle is 75 cm².

Area of a circle is computed by multiplying pi to the square of the radius.

A = πr²

diameter = 10 cm
radius = d/2 = 10/2 = 5 cm
pi = 3

A = 3(5cm²)
A = 3(25cm²)
A = 75 cm²
7 0
3 years ago
Help, and can you show your work?
Schach [20]

Step-by-step explanation:

answer A is correct

................

6 0
3 years ago
Read 2 more answers
PLEASE ANSWER ASAP!!!! WILL GIVE BRAINLIEST TO CORRECT
Goshia [24]
I used my graphing calculator and it shows its graph C 

5 0
3 years ago
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