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Allisa [31]
3 years ago
11

At A Local Restaurant, The Health Inspector Visits Every 7 Days, And The Fire Inspector Visits Every 12 Days.

Mathematics
1 answer:
Xelga [282]3 years ago
8 0
 PART A :OK so here is the table for the health inspector; all you are really doing is 7+7+7, and so on:

PART A: health inspector: 7,14,21,28,35,42,49,56,63,70,77,84..........

PART A:same thing for the fire inspector, except this time your adding 12+12+12, and so on:

PART A: fire inspector: 12,24,36,48,60,72,84,96.......

PART B: and to figure out what day they will both come is you have to find the LCM (least common multiple)

PART B: which in this case is Day 84

hopes this helps!!!!!



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What 2 numbers should be used to find 231 - 198 using the 10 method for subtracting quickly in your head?
Airida [17]

Answer: "Count 2 and then count 31 more."

Step-by-step explanation:

We have the equation:

231 - 198

Now, the negative number is kinda ugly, so i will write it as:

200 - 2 = 198

Is a lot easier work with 200 and 2, than with 198.

Then the equation is now:

231 - (200 - 2)

And the left number we also have a "200", so it can be written as:

200 + 31 = 231

As this is a sum, we can ignore the parentheses.

200 + 31 - 200 + 2

31 + 2

Then the correct option is:

"Count 2 and then count 31 more."

4 0
3 years ago
What is the Y-intercept of the graph of the linear function? What is the slope?
xeze [42]

Answer:

The Y intercept is -5 and the slope is -5/2

4 0
2 years ago
Please help thank you
Elodia [21]

Answer:

a1 = 6

a2 = 15

a3 = 24

a4 = 33

Step-by-step explanation:

Let k =1

a1 =-3 +9(1) = -3 +9 = 6

Let k = 2

a2 = -3 +9(2) =-3+18 = 15

Let k =3

a3 =-3 +9(3) = -3 +27 = 24

Let k = 4

a4 = -3 +9(4) =-3+36 = 33

8 0
3 years ago
A chain has 47 links. 13 link from one end is rusted. From the other end 17 link is also rusted. How many links lie between thes
Butoxors [25]

Answer:

17

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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
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