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defon
3 years ago
14

Angle C is an inscribed angle of circle P. Angle C measures (-3x - 6)° and arc AB measures (-4x)° . Find x

Mathematics
2 answers:
Fynjy0 [20]3 years ago
5 0
To find angle c, the fourmula is 1/2 of the intercepted arc. so, this would be (-3x-6)=(-4x)/2, then bring the 2 over, (-3x-6)2=-4x, multiply the 2, -6x-12=-4x, -2x=12, simplify, x=-6

check by plugging in.

valkas [14]3 years ago
4 0

Answer:

x=-6

Step-by-step explanation:

Given that angle C is an inscribed angle of circle P. Angle C measures (-3x - 6)° and arc AB measures (-4x)° .

We know that inscribed angle in a circle is 1/2 of the arc of tha angle.

ARc of AB =-4x

Inscribed angle = -3x-6

2(-3x-6) =-4x\\x=-6

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Please help version 2
Juli2301 [7.4K]

Answer:

16°

Step-by-step explanation:

2x° + 6° = 38°

x° = (38°- 6°)÷2=16°

3 0
3 years ago
You invested a total of $60,000 in 2 funds earning 8.5% and 10% simple interest. During 1 year, the 2 funds earned a total of $5
maksim [4K]

The amount invested in the fund earning 8.5% is $40,000 whereas $20,000 was invested in the fund earning 10%

What is the return on each fund?

The return on each fund is determined as the amount invested multiplied by the interest rate on the fund

;Let X be the amount invested at 8.5%

Interest=8.5%*X=0.085X

The interest of the fund  invested at 10%=($60,000-X)*10%

The interest of the fund  invested at 10%=$6000-0.10X

Total interest=0.085X+6000-0.10X

Total interest earned during year 1=$5,400

5400=0.085X+6000-0.10X

5400=6000-0.015X

0.015X=6000-5400

0.015X=600

X=600/0.015

X=$40,000(amount invested at 8.5%)

amount invested at 10%=$60,000-$40,000

amount invested at 10%=$20,000

Find out more about simple interest on:https://brainly.in/question/37840965

#SPJ1

7 0
2 years ago
A printer prints fewer than 18 pages per minute. What is the maximum number of pages the printer can print in 7 minutes?
max2010maxim [7]

Answer:127 pages of paper

Step-by-step explanation:

18 times 7

4 0
3 years ago
Please helppp why is he right or wrong!!
bagirrra123 [75]

Answer:

We cannot agree with Andre because x = 3.

Step-by-step explanation:

Assuming the diagram is a weighing scale which can also be represented as an equation having two sides that is balanced. We can express the situation as follows using equation:

x + 2 = 5

Solve for x

x + 2 - 2 = 5 - 2 (subtraction property of equality)

x = 3

If you plug in the value of x on the diagram given, the scale becomes balance on each side.

Therefore, x = 3. Andre is wrong and we cannot agree with Andre.

7 0
3 years ago
The area of a circle is increasing at the rate of pi cm^(2)/min. At what rate is the radius increasing when the area is 4pi cm^(
Vikentia [17]
This problem deals the rate of change.
For the formula of the area of a circle, we differentiate both sides with respect to time t.
(A = πr^2) d/dt
dA/dt = 2πr (dr/dt)

Since we don't know yet the radius r, the area of a circle is given.
A = πr^2
r^2 = A/π = 4π/π
r^2 = 4
r = 2 cm

Therefore, the rate of the radius is
dA/dt = 2πr (dr/dt)
dr/dt = (dA/dt)/(2πr)
dr/dt = π/(2π*2)
dr/dt = 0.25 cm/min

Hope this helps.
3 0
3 years ago
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