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Luda [366]
3 years ago
10

Can someone please help me??? Its urgent. 15 Points.

Mathematics
2 answers:
alukav5142 [94]3 years ago
6 0

Answer:

180 + x

Step-by-step explanation:

maxonik [38]3 years ago
5 0

Answer:

The measure of arc ABC is 180 + x ⇒ 1st answer

Step-by-step explanation:

Let us revise some notes about the arcs of a circle

  • The measure of an inscribed angle is half the measure of its subtended arc
  • The measure of the central angle is equal to the measure of its subtended arc
  • If two tangents intersect outside a circle then the measure of the angle formed between them is one-half the positive difference of the measures of the intercepted arcs

∵ CD and AD are two tangents to the given circle

∵ They intersected at point D out side the circle

∵ The measure of ∠ADC = x°

- By using the 3rd note above

∵ The intercepted arcs are arc ABC and arc AC

∴ x° = \frac{1}{2} (measure of arc ABC - measure of arc AC)

- Multiply both sides by 2

∴ 2 x = (measure of arc ABC - measure of arc AC)

- Add measure of arc AC in both sides

∴ 2 x + measure of arc AC = measure of arc ABC ⇒ (1)

∵ The measure of a circle is 360°

∵ The arcs ARC and AC is formed the circle

∴ Measure of arc ABC + measure of arc AC = 360°

- Subtract measure of arc ABC from both sides

∵ Measure of arc AC = 360 - measure of arc ABC ⇒ (2)

- Substitute (2) in (1)

∴ 2 x + 360 - measure of arc ABC = measure of arc ABC

- Add measure of arc ABC to both sides

∴ 2 x + 360 = 2 measure of arc ABC

- Divide both sides by 2

∴ x + 180 = measure of arc ABC

∴ The measure of arc ABC is 180 + x

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Which expression has a value of 66? A. (16 ÷ 3.2) × 2 + 0.2 × (8 + 82) B. [(16 ÷ 3.2) × (2 + 0.2)] × 8 + 82 C. 16 ÷ [(3.2 × 2) +
Setler [38]

Answer: none

Step-by-step explanation:

(A)

(16÷32/10) ×2 + 0.2×(90)

Using bodmas principle ; solve bracket

(16×10/32)×2 + (2/10×90)

10+18 =28

(B)

{(16÷32/10) × (2+2/10)} ×90

Open brackets

{(16×10/32) × (22/10)} ×90

(5×11/5) ×90

11×90 = 990

(C)

16÷{(32/10×2) + (2/10×8)} +82

Open brackets, solve division first, dolled by addition

16÷(32/5 + 8/5) +82

16÷(40/5) +82

16÷8 +82

2+82= 84

(D)

[16÷(32/10 ×2) + 0.2× (90)]

16÷ (32/5) + 2/10 ×90

Solve division

16×5/32 + 18

5/2 + 18

L.c.m of denominator (2&1) =2

(5+36) / 2 = 41/2

=20.5

8 0
3 years ago
Solve for x.<br><br> y=4+bx^2
kicyunya [14]
y=4+bx^2

bx^2 = y - 4

x^2 =  \dfrac{y-4}{b}

x = \pm \sqrt{ \dfrac{y-4}{b} }
3 0
3 years ago
Give a real-life situation for the sum. (will mark brainiest!!)
iren [92.7K]

Answer:

Jeff is 15 years younger than Joe who is 10

Step-by-step explanation:

6 0
2 years ago
I need help with the question above
Neporo4naja [7]
2a/5b = 6

(2a-5b)/5b could be written as: (2a/5b) -(5b/5b)

Repace by its equivalent value (6) -(1) = 5

4 0
3 years ago
a square garden with a side of 150m has a square swimming pool in the very center with a side length of 25m calculate the area o
marta [7]

Answer: 21,875 sqm

Step-by-step explanation:

Step 1:

   Find the gross area of the garden.

   Square 150m = 22,500 sqm.

Step 2:

   Find the area of the pool.

   Square 25m = 625 sqm.

Step 3:

   Subtract the area of the pool from the gross area of the garden

   to find the net area of the garden.

   22,500 - 625 = 21,875 sqm.

Warning:

   Do not subtract the side length of the swimming pool from the side length

   of the garden before squaring.

7 0
3 years ago
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