All categories

3 years ago

Angle C is an inscribed angle of circle P. Angle C measures (-x + 8) degrees and arc AB measures (12x) degrees. Find x

Mathematics

2 answers:

Bas_tet [7]3 years ago

5 0

Answer:

<h2>The variable is 8/7.</h2>

Step-by-step explanation:

Givens

$\angle C = -x+8\\arcAB=12x$

To solve this problem, we need to use the Inscribed Angle Theorem which states that an angle inscribed in a circle is half of the subtended arc.

Based on this theorem, we have

$\angle C=\frac{1}{2}arcAB$

Replacing each expression

$-x+8=\frac{1}{2}(12x)\\ -x=6x-8\\8=x+6x\\7x=8\\x=\frac{8}{7}$

Therefore, the variable is 8/7.

harina [27]3 years ago

4 0

The rule for this is that the measure in degrees of the inscribed angle is half the measure of the arc in degrees. If angle C measures 8-x and arc AB measures 12x, then the formula to solve for x would be

$8-x=\frac{1}{2}(12x)$ . Simplifying a bit gives us that 8 - x = 6x. Add x to both sides and we have 8 = 7x and x = 8/7.

You might be interested in

if the farm needs to pack 12,70,224 litchis in boxes that hold 144 litchis ,how many boxes would be required .

uysha [10]

For this, we will divide 1,270,224 by 144.

1,270,224 ÷ 144 = 8,821.

For this result, we can conclude that the number of boxes required to pack 1,270,224 litchis is 8,821 boxes.

7 0

3 years ago

Read 2 more answers

The larger of two integers is 1 greater than twice the smaller integer the smaller integer is 17 less than twice the larger inte

horrorfan [7]

Larger = 2smaller + 1 ----(1)
smaller = 2 larger - 17 ----(2)

put (2) in (1)
larger = 2(2larger-17) + 1
larger = 4larger-34+1
-3larger = - 33
so larger= 11
then smaller= 2(11)-17 = 5

answer two integers are 11 and 5

3 0

3 years ago

2 3 2/15+ 5 2 8/15+ 1 6 1/15=

allsm [11]

Answer:

91 11/15

Step-by-step explanation:

23+2/15+52+8/15+16+1/15

=23+52+16+2/15+8/15+1/15

=91+11/15

8 0

3 years ago

Read 2 more answers

50 PTS Please help me answer this asap!

Galina-37 [17]

Answer:

1. 2x + 1 ≤ 3

2. 1 + 3x ≥ -5

3. 5x - 7 ≥ 17

4. 5 - 3x ≥ 11

Step-by-step explanation:

5x - 7 ≥ 17

subtract 7 and u get 5x ≥ 10

divide that and you get ≥ 2

so 3 goes with that one

1 + 3x ≥ -5

subtract 1 and you get 3x ≥ -6

divide that and youll get x ≥ -2

so 2 goes with this one

2x + 1 ≤ 3

subtract 1 and u get 2x ≤ 2

divide them and you get x ≤ 1

so 1 goes with this one

5 - 3x ≥ 11

subtract 5 and u get -3x ≥ 6

divide it and u get x ≥ -2

so 4 goes with this one

Hoped this helps :)

also btw Brainly steals half the points you give out so instead of 15 ur giving me 25.

8 0

3 years ago

Read 2 more answers

I went to the grocery store the other day and there were no price tags on anything! I bought 3 loaves of bread and 1 milk jug an

Lostsunrise [7]

To solve this problem, set up and solve a system of equations. The variables b and m will represent a bread loaf and milk jug, respectively:

$\left \{ {{3b + m = 9} \atop {b + 2m =5.5}} \right.$

I would solve using substitution. Take one of the equations and set it equal to one of the variables, for example:

$3b + m =9 \\ m = 9 -3b$

Now, plug this into the other equation for m and solve for b:

$b + 2m =5.5 \\ b + 2(9-3b)= 5.5 \\ b + 18 - 6b = 5.5 \\ -5b + 18 = 5.5 \\ -5b = -12.5 \\ b = 2.5$

We now know that a loaf of bread costs $2.50. Plug this value in for b in the first equation and solve for m:

$3b + m = 9 \\ 3(2.5) + m = 9 \\ 7.5+m = 9 \\ m = 1.5$

One jug of milk costs $1.50 and one loaf of bread costs $2.50.

8 0

2 years ago