Given:
m∠APB = 74°
To find:
The measure of ACB
Solution:
The measure of the central angle is congruent to the measure of the intercepted arc.
⇒ m(ar AB) = m∠APB
⇒ m(ar AB) = 74°
The complete angle of the circle is 360°.
⇒ m(ar ACB) + m(ar AB) = 360°
⇒ m(ar ACB) + 74° = 360°
Subtract 74° from both sides.
⇒ m(ar ACB) = 286°
The measure of arc ACB is 286°.
Answer:
sale price of the television- $407.40
Final cost: 435.918
round the 1 to a 2 so now your final answer will be 435.92
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Lets verify the ratio of corresponding sides:</u>
<u>Two sides are similar and the included angles are congruent as vertical angles:</u>
- LV/UV = MV/TV
- ∠MVL ≅ ∠TVU
- ΔMVL ~ ΔTVU by SAS
Diameter of a semi circular garden = 18 feet
Radius of the garden :
Thus, the radius of the semi circular fence = 9 feet
We know that :
Which means, the circumference of Mary's semi circular garden :
(pi value = 3.14)
Thus, the circumference of fence needed for the semi circular garden = 28.26 feet
28.26 can be rounded off to 28.30 and 28.30 is the same as 28.3
Thus, Mary's reasoning is correct.
Therefore, Mary's reasoning is correct which means she needs 28.3 feet of fence to surround her garden.
Answer:
EG = 19
Step-by-step explanation:
* Lets explain how to solve the problem
- If a line bisects another line that means the point of intersection
divides the second line into two equal parts
∵ EF bisects CD at G
∴ CG = GD
∵ CG = 5x - 1
∵ GD = 7x - 13
∴ 7x - 13 = 5x - 1
* Lets solve the equation
∵ 7x - 13 = 5x - 1
- Subtract 5x from both sides and add 13 to both sides
∴ 7x - 5x = 13 - 1
∴ 2x = 12
- Divide both sides by 2
∴ x = 6
- Point G divides EF into two parts EG and GF
∴ EF = EG + GF
∵ EF = 6x - 4
- Substitute the value of x to find EF
∵ x = 6
∴ EF = 6(6) - 4 = 36 - 4 = 32
∴ EF = 32
∵ GF = 13
- Substitute the values of EF and GF in the equation of EF
∴ 32 = EG + 13
- Subtract 13 from both sides
∴ 19 = EG
* EG = 19
