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Alex787 [66]
3 years ago
7

Is 10/15 proportional

Mathematics
2 answers:
schepotkina [342]3 years ago
7 0

Answer:

i mean it can be but i would say yes and no

Step-by-step explanation:

diamong [38]3 years ago
5 0

Answer:

yes

2/3

Step-by-step explanation:

if you divide each by 5 you get 2/3

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42:28
gogolik [260]

Answer:

The statements about arcs and angles that are true in the figure are;

1) ∠EFD ≅ ∠EGD

2) \overline{ED}\cong \overline{FD}

3) mFD = 120°

Step-by-step explanation:

1) ∠ECD + ∠CEG + ∠CDG + ∠GDE = 360° (Sum of interior angle of a quadrilateral)

∠CEG = ∠CDG = 90° (Given)

∠GDE = 60° (Given)

∴ ∠ECD = 360° - (∠CEG + ∠CDG + ∠GDE)

∠ECD = 360° - (90° + 90° + 60°) = 120°

∠ECD = 2 × ∠EFD (Angle subtended is twice the angle subtended at the circumference)

120° = 2 × ∠EFD

∠EFD = 120°/2 = 60°

∠EFD ≅ ∠EGD

∠ECD = 120°

∠EGD = 60°

∴∠EGD ≠ ∠ECD

2) Given that arc mEF ≅ arc mFD

Therefore, ΔECF and ΔDCF are isosceles triangles having two sides (radii EC and CF in ΔECF and radii EF and CD in ΔDCF

∠ECF = mEF = mFD = ∠DCF (Given)

∴ ΔECF ≅ ΔDCF (Side Angle Side, SAS, rule of congruency)

\\ \overline{EF}\cong \overline{FD} (Corresponding Parts of Congruent Triangles are Congruent, CPCTC)

∠FED ≅ ∠FDE (base angles of isosceles triangle)

∠FED + ∠FDE + ∠EFD = 180° (sum of interior angles of a triangle)

∠FED + ∠FDE = 180° - ∠EFD = 180° - 60° = 120°

∠FED + ∠FDE = 120° = ∠FED + ∠FED (substitution)

2 × ∠FED  = 120°

∠FED = 120°/2 = 60° = ∠FDE

∴ ∠FED = ∠FDE = ∠EFD =  60°

ΔEFD  is an equilateral triangle as all interior angles are equal

\\ \overline{EF}\cong \overline{FD}\cong \overline{ED} (definition of equilateral triangle)

\overline{ED}\cong \overline{FD}

3) Having that ∠EFD = 60° and ∠CFE = ∠CFD (CPCTC)

Where, ∠EFD = ∠CFE + ∠CFD (Angle addition)

60° = ∠CFE + ∠CFD = ∠CFE + ∠CFE (substitution)

60° = 2 × ∠CFE

∠CFE =60°/2 = 30° = ∠CFD

\overline{CF}\cong \overline{CD} (radii of the same circle)

ΔFCD is an isosceles triangle (definition)

∠CFD ≅ ∠CDF (base angles of isosceles ΔFCD)

∠CFD + ∠CDF + ∠DCF = 180°

∠DCF = 180° - (∠CFD + ∠CDF) = 180° - (30° + 30°) = 120°

mFD = ∠DCF (definition)

mFD = 120°.

5 0
3 years ago
Wich is a better buy?4 cans for $6 or 8 cans for $10​
Oliga [24]

Answer:

Step-by-step explanation:

6/4=1.5 (price per can)

10/8=1.25 (price per can)

1.25 is cheaper than 1.5

the second one is the better buy

8 0
3 years ago
Read 2 more answers
Aiko is finding the sum (4 + 5i) + (-3 + 7i). She rewrites the sum as (-3 + 7)i + (4 + 5)i. Which statement explains the
Doss [256]

Answer:

Aiko should not have put both of the 'i' out of the brackets.

Step-by-step explanation:

As only one integer has i with it, it is not possible to take the i out of the bracket.

8 0
3 years ago
X = 55, because 60 + 65 = 125 and 180 - 125 = 55
Lina20 [59]

Answer: x= 55 because 60 + 65 =125 and 180 - 125 = 55

Step-by-step explanation:

The sum of three angles in any triangle is 180. Therefore you add the two angles that you have and use that number to subtract it by 180. Then you will have your answer. Also you can get the answer to y by subtracting the value of x from 180.

7 0
2 years ago
List all two-digit positive integers that satisfy both of the following :
MakcuM [25]

The two-digit positive integers that tens and ones digits are consecutive numbers include 12, 23, 34, 45, 56, 67, 78, and 89.

<h3>What are integers?</h3>

It should be noted that integers are the whole numbers that can be either positive, negative, or zero.

The two-digit positive integers that the integer is the product of two consecutive numbers will be:

3 × 4 = 12

7 × 8 = 56

Learn more about integers on:

brainly.com/question/17695139

#SPJ1

3 0
2 years ago
Read 2 more answers
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