To find the answer to this question, we must know what an intercept is. An intercept is a point where a line (or something else) touches an axis. For example, the y intercept is the point (or points) where the line would touch the y axis. To find the x and y intercepts for this graph, we just need to look at where the points of intersection are. In addition, the intercept of an axis has the other value equal to 0. That means that the y intercept would have an x value of 0 and the x intercept would have a y value of 0.
Now we have to look at the points. The y axis is the horizontal axis, and the line seems to intersect it at the point 2.5. Since we know that the x value is 0, that means that the y intercept is (0, 2.5). Now onto the x intercept. We see that the line touches the x axis at the point 3.5, meaning that the x intercept is (3.5, 0).
Answer:
1). Option B.
2). Option C.
3). Option A.
4). Option C.
5). Option D.
6). Option C.
Step-by-step explanation:
1). Bisector of angle ABC is,
Option (B). stack BD with rightwards arrow on top.
2). Since GH = GI [Given]
3x = 5x - 10
5x - 3x = 10
2x = 10
x = 5
Therefore, GH = 3x
= 3(5)
= 15
Option (C). is the answer.
3). Since m∠ABD ≅ m∠DCB [Given]
and m∠DCB ≅ m∠CBE [Since GH ≅ GI]
Therefore, m∠ABD ≅ m∠CBE
10y = 8y + 4
10y - 8y = 4
2y = 4
y = 2
Option (A). is the answer.
4). m∠DBE = m∠DBC + m∠CBE
= 10y + (8y + 4)
= (18y + 4)°
By putting y = 2,
m∠DBE = 18×2 + 4
= 36 + 4
= 40°
Option (C) will be the answer.
5). m∠ABE = m∠ABD + m∠DBC + m∠CBE
= 10y + 10y + (8y + 4)
= 28y + 4
= 28×2 + 4
= 56 + 4
= 60°
Option (D) will be the answer.
6). If m∠FBA = 7x + 6y
By putting x = 5 and y = 2
m∠FBA = 7(5) + 6(2)
= 35 + 12
= 47°
Option (C) will be the answer.
Try C if it doesn’t work try A,B,D
Answer:
Step-by-step explanation:
From the given picture, it can be seen that the radius of the circle = 16 units
Also, the measure of central angle XYZ radians
The area of sector with radius r and angle x radian is given by :-
Now, the area of the shaded sector is given by :-