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guajiro [1.7K]
3 years ago
12

Please helppppppppppppp

Mathematics
1 answer:
maxonik [38]3 years ago
7 0
"He starts by sprinting 100 yards", so the first term is a_1 = 100

The common difference is d = 5 because he's adding 5 yards per day. The "21 days" info isn't going to be used at all

So because a_1 = 100 and d = 5, this means
a_n = a_1 + d*(n-1)
a_n = 100 + 5*(n-1)
a_n = 100 + (n-1)*5

Answer is choice D
You might be interested in
Hat is the solution to the system of equations?
Dima020 [189]

Answer:

(–19, 55)

Step-by-step explanation:

y = –3x – 2   equation 1

5x + 2y = 15 equation 2

using equation 1 in equation 2 we have:

5x + 2(–3x – 2) = 15

5x –6x – 4 = 15

-x = 15+4

x=-19

using equation 1:

y = -3(-19)- 2  

y= 57-2

y= 55

5 0
3 years ago
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
What is the equivalent fraction to 2/3
Paraphin [41]

Answer:4/6

Step-by-step explanation:because we multiply the fraccion by 2

8 0
3 years ago
2x+y=-9<br> -3x+11=y whathe is the answer
insens350 [35]
[ 2x + y = -9 ] x -3
[- 3x +11= y ] x 2

-6x -3y = 27
-6x + 22 = 2y

-6x +27 = 3y
-6x +22 = 2y

5 = y

-6x -3x5 = 27
-6x -15 = 27
-6x = 42
-x = 42/6
-x = 7
x = -7

answer

x = -7
y = 5




8 0
3 years ago
PLEASE HELP ME QUICKLY!!!!!
Gwar [14]
Y=2/5+3; u gotta find two points, count the rise over run and find the y-intercept
3 0
2 years ago
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