Answer:
Arc DE = 90°
m<GAB = 82°
Arc DC = 49°
Step-by-step explanation:
Given:
m<EAF = 74°
m<EAD = right angle = 90°
Arc BG = 82°
Required:
Arc DE,
<GAB, and
Arc DC
Solution:
Recall that the central angle measure = the intercepted arc measure.
Therefore:
✔️Arc DE = m<EAD
Arc DE = 90° (Substitution)
✔️m<GAB = arc BG
m<GAB = 82° (Substitution)
✔️Arc DC = m<CAD
Find m<CAD
m<CAD = ½(180 - m<GAB)
m<CAD = ½(180 - 82)
m<CAD = 49°
Arc DC = m<CAD
Arc DC = 49°
Answer:
Step-by-step explanation:
<em>Set up equations (L= Lisa; M = Maria; A = April; J = Jim)</em>
L = 12M
A = 2J
<em>Substitute x for Maria and 6x for Jim</em>
L = 12x
A = 2(6x) = 12x
<em>So, you get:</em>
Maria = x
Jim = 6x
Lisa = 12x
April = 12x
I found the image that accompanied this problem.
We need to solve for the area of the sector.
A = n/360 * π * r²
A = 85/360 * 3.14 * 5²
A = 0.2361 * 3.14 * 25
A = 18.5347
Answer is C. 18.5 square meters.
Answer:
Step-by-step explanation:
x = the number
x + 1/6x + 2 1/2x + 7 = 12 1/2
3 + (1/6 + 1/2)x = 12 1/2 - 7
3 + (1/6 + 3/6)x = 5 1/2
3 2/3x = 5 1/2
x = (11/2) / (11/3)
x = 11 / 2 * 3 / 11
x = 3/2
x = 1 1/2
Answer: The required x-intercept of the given line is 
Step-by-step explanation: We are given to find the x-intercept of the line with the following equation :
We know that
x-intercept of a line is a point on the line where the line crosses the x-axis, that is y co-ordinate is 0.
Substituting y = 0 in equation (i), we get
Thus, the required x-intercept of the given line is
