Answer:
(5, 10 ) ( 2, 25 )
Step-by-step explanation:
9514 1404 393
Answer:
x = 60
y = 30
Step-by-step explanation:
Adjacent angles are supplementary.
(5x -180) +x = 180
6x = 360 . . . . . . . . . . add 180, collect terms
x = 60 . . . . . . . . divide by 6
Opposite angles are congruent.
2y = 60 . . . . . . 2y = x
y = 30 . . . . . . . .divide by 2
The value of x is 60; the value of y is 30.
Answer:
(–3, –2)
Step-by-step explanation:
A linear equation is an equation in the form y = mx + b, where m is the slope of the line and b is the y intercept.
Equation A is represented by the points:
x: -5 -2 0 1
y: -4 -1 1 2
Equation A can be gotten by picking any two pair of points. Let us use (-5, -4) and (0, 1). We use this formula:

Equation B is represented by the points:
x: -6 -3 3 6
y: -4 -2 2 4
Equation B can be gotten by picking any two pair of points. Let us use (-6, -4) and (3, 2). We use this formula:

The solution to the system of equations is gotten by solving y = x + 1 and y = (2/3)x simultaneously.
Substitute y = (2/3)x in y = x + 1:
(2/3)x = x + 1
2x = 3x + 3
x = -3
Put x = -3 in y = (2/3)x
y = (2/3) (-3) = -2
Hence (-3, -2) is the solution
Answer:
Correct choices are A and C
Step-by-step explanation:
Inscribed angles property: The inscribed angles subtended by the same arc are equal.
1. Angles EFH and EGH are both inscribed angles subtended by the arc EH. Therefore, these angles are congruent (option A is true).
2. Angles GHF and GEF are both inscribed angles subtended by the arc GF. Therefore, these angles are congruent (option C is true).
3. Angles EGH and FHG are interior angles of the triangle KGH and can be congruent (if triangle is isosceles) or can be not congruent (in general). Thus, option B is false.
4. Angles EFH and FHG in general are not congruent. They can be congruent only when arcs EH and FG have the same measure. In general, option D is false.
Answer:
diameter =7 cm
Step-by-step explanation:
circum=2pi×r

2×pi×r=22
2×22÷7×r=22
r=22×7÷44
r=7÷2
r=3.5
d=2×r=2×3.5=7