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patriot [66]
3 years ago
6

3. Ten more than a number is 28. Find the number.

Mathematics
2 answers:
Romashka [77]3 years ago
7 0

Answer: 18

Step-by-step explanation: you just minus ten from twenty eight.

lesya [120]3 years ago
6 0
18. I hope it helps:/
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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
The scale in the drawing is 2 cm : 5 m. Select from the drop down the correct numbers into the boxes to give the length, width,
Gelneren [198K]

The length, width, and area will be 25m, 15m, and 375m².

<h3>How to calculate the area?</h3>

From the information given, the scale in the drawing is 2cm : 5m and the length and width are given as 10cm and 6cm respectively.

Length = 10cm = 10 × 2.5 = 25m

Width = 6cm = 6 × 2.5m = 15m

Area = Length × Width

Area = 25 × 15

Area = 375m²

Therefore, the area is 375m².

Learn more about area on:

brainly.com/question/25292087

#SPJ1

7 0
2 years ago
Sonia used $12.50 to buy a new journal. She has $34.25 left in her savings account. How much money did Sonia have before she bou
natali 33 [55]
  1. X-12.50=34.25
  1. Add 12.50 to both sides
  2. X=46.75
3 0
3 years ago
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There are 294 boys and 322 girls in the hill school. how many students are in the school.
lys-0071 [83]
I think it's 616 that what I got but I'm not sure
7 0
3 years ago
Which letter on the number line represents 4.55? <br> F<br><br> E<br><br> D<br><br> C
REY [17]

Answer:

F

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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