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butalik [34]
3 years ago
7

the relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card. sta

te whether the graph of each linear relationship is a solid line or a set of unconnected point. Explain your reasoning.
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0
An unconnected point because you cannot buy a fractional part of lunch
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Points E, F, and D are on circle C, and angle G measures 60°. The measure of arc EF equals the measure of arc FD.
galben [10]

Answer:

∠EFD ≅ ∠EGD ⇒ A

Arc ED ≅ arc FD ⇒ C

m arc FD = 120° ⇒ E

Step-by-step explanation:

Let us revise some facts

  1. Equal chords subtended equal arcs
  2. The measure of an inscribed angle is one-half the measure of the central angle which subtended by the same arc
  3. The measure of a central angle is equal to the measure of its subtended arc
  4. If one angle of an isosceles triangle measure 60° then the triangle is equilateral
  5. The sum of the measures of the interior angles of any quadrilateral is 360°

In the quadrilateral  CDGE

∵ m∠G = 60°

∵ m∠GDC = m∠GEC = 90°

- By using the 5th rule above

∴ m∠G + m∠GDC + m∠DCE + m∠GEC = 360°

∴ 60 + 90 + m∠DCE + 90 = 360

∴ 240 + m∠DCE = 360

- Subtract 240 from both sides

∵ m∠DCE = 120°

In circle C

∵ ∠DCE is a central angle subtended by arc DE

∵ ∠DFE is an inscribed angle subtended by arc DE

- By using the 2nd rule above

∴ m∠DFE = \frac{1}{2} m∠∠DCE

∵ m∠DCE = 120°

∴ m∠DFE = \frac{1}{2} (120)

∴ m∠DFE = 60°

- That means ∠EFD ≅ ∠EGD because their measure is 60°

∴ ∠EFD ≅ ∠EGD

In Δ EFD

∵ EF = FD

∵ m∠DFE = 60°

- By using the 4th rule above

∴ Δ EFD is an equilateral triangle

∴ ED = FD = FE

In circle C

∵ Side ED subtended by arc ED

∵ Side FD subtended by FD

∵ Side ED ≅ side FD ⇒ proved

- By using the 1st rule above

∴ Arc ED ≅ arc FD

∵ m∠ECD = 120°

∵ ∠ECD is a central angle subtended by arc ED

- By using the 3rd rule above

∴ m∠ECD = m arc ED

∴ m of arc ED = 120°

∵ Arc ED ≅ arc FD

∴ m arc ED = m arc FD

∴ m arc FD = 120°

5 0
2 years ago
Read 2 more answers
Help with this question, ONLY NEED TO DO NUMBER 5!!
tigry1 [53]

Answer:

Kendra stayed constant after two hours: meaning she could have went out or done whatever. She has stayed constant until (5,100) and then at (6,45) she started to go downhill.

Basically the graph goes (0,210) starting point; (1.5,155) started to go downhill; (2,100) stayed CONSTANT until (5,100) and at (6,45) she went downhill.

Yk for the answer hoped it helped :D

Step-by-step explanation:

7 0
2 years ago
What is 1/3 to the power of 2​
slamgirl [31]

Answer:

Brainliest!

Step-by-step explanation:

1/3 is going to be like

1^2

------

3^2

= 1/9

7 0
3 years ago
2 What is the constant in the expression 8x3 + 5 + 7x2 + 6x?<br> A 8<br> B 5<br> C 7<br> D 6
lys-0071 [83]
Answer:
D) 6
Step by step explanation:
6x is the coefficient the constants would be 8,3,5,7 and 2.

Coefficient is the number with a variable and a constant is a number on its own.

Hopefully this helped!!
3 0
3 years ago
There is no solution to the equation cscx=0.<br> True or False
Svetradugi [14.3K]

Answer:

True

Step-by-step explanation:

First, we need to recognize that

csc(x)=\frac{1}{sin(x)}

Now, we can try to solve

\frac{1}{sin(x)} =0

Multiply each side by sin(x)

1=0*sin(x)\\\\1=0

As we end up with an answer that cannot be true, we know that there is no solution.

Another method to solve this would be graphing the function y=csc(x)

When graphed, it can be seen that there is an asymptote at x=0 meaning that there is no value for x=0.

4 0
3 years ago
Read 2 more answers
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