All categories

3 years ago

Measurement of angle 1

Mathematics

1 answer:

OLEGan [10]3 years ago

5 0

Answer:

55 degrees

Step-by-step explanation:

Given that a circle and inside two chords with same arc length.

We are to find the angle between the two chords.

Given that two arcs subtend angle 125 degrees at the centre.

Let us join the two ends of chords to make the figure as a triangle inside a circle.

The triangle is isosceles as two arcs and hence chords are equal.

By central angle theorem we have the two equal angles as 1/2 (125) = 62.5

Hence we have a triangle with two equal angles 62.5 and another angle 1.

By triangle sum of angles theorem

angle 1+62.5+62.5 = 180

Hence angle A = 180-62.5-62.5 = 55 degrees.

You might be interested in

Regina has $25 to buy groceries. She needs 3 cans of dog food, a gallon of milk, 5 pounds of chicken, a box of cereal, and 6 rol

MissTica

Regina has enough money to buy all the items she needs

3 cans of dog food = 1.50*3 = 4.50
1 gallon of milk = 4.00*1 = 400
5 pounds of chicken = 1.55*5 = 7.75
1 box of cereal = 2.75*1 = 2.75
6 rolls of paper towels = .99*6 = 5.94

If you add all those together it equals 24.94 leaving 6 cents in change

4.50 + 4.00 + 7.75 + 2.75 + 5.94 = 24.94$

8 0

3 years ago

Read 2 more answers

Derek wrote the following paragraph proof for the Vertical Angles Theorem:

Aneli [31]

The phrase that would complete the proof is this:
Angle 2 is equal to Angle 4.

Vertical angles are angles formed when two lines intersect each other. The angles that are opposite each other are equal by a series of supplementary, complementary, and transitive property proofs.

7 0

4 years ago

Read 2 more answers

Solve the equation. –x + 8 + 3x = x – 6 x = –18 x = –14 x = 2 x = 4

mezya [45]

Answer:

$\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}$

$- x + 8 + 3x = x - 6 \\ - x + 3x - x = - 6 - 8 \\ 2x - x = - 6 - 8 \\ x = - 14$

✏ The value of x = - 14 (option 2)

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

$\huge\red{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}$

8 0

3 years ago

Read 2 more answers

In conditional probability, the notation P(A | B) is read:

il63 [147K]

The probability of a student taking the bus given that the student is a sophomore is 0.83

The complete question is attached with the answer below:-

<h3 /><h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that:

P(Walk to school | Sophomore) = 3 /(2 + 25 + 3) = 0.1
To calculate the probability of a student taking the bus given that the student is a sophomore, we make use of:
P(Take the bus | Sophomore ) = 25/(2 + 25 + 3)

Rewrite properly as:

$P_r = \dfrac{25}{3+2+25}$