For Xoy right angle, point A on Ox ray, ray Oy.lay point B on point E on the beam of rays Ox, point F on the beam of rays Oy puzzle that OE = OB, OF = OA.
a, prove that AB = EF and EF square AB
b, Call M, N wrong turn is the midpoint of AB and EF. Prove that triangle square omn weight
Given 4 points A, B, C, D on a ray such that A lies between B and C; B lies between C and D; OA = 7cm, OD = 3cm, BC = 8cm and AC =3.BD. What is the length of AC
Given two adjacent angles AOB and BOC. The sum of measure of them is equal to 160o and the measure of angle AOB is equal to 7 times the measure of angle BOC
a)Find the measure of each angle
b)Inside angle AOC, draw ray OD such that angle COD=90o. Prove that OD is the bisector of angle BOA.
c)Draw the opposite ray OC' of ray OC. Find the measure of 2 angles AOC and BOC' then compare them
Given two adjacent angles AOB and BOC. The sum of measure of them is equal to 160o and the measure of angle AOB is equal to 7 times the measure of angle BOC
a)Find the measure of each angle
b)Inside angle AOC, draw ray OD such that angle COD=90o. Prove that OD is the bisector of angle BOA.
c)Draw the opposite ray OC' of ray OC. Find the measure of 2 angles AOC and BOC' then compare them
Given the Triangle ABC and the point M inside the triangle (M don't belong on any sides of triangle).let I be the intersection point of the line BM and the side AC
a, compare MA to MI+MB,then prove that MA +MB<IB+IA
b, compare IB to IC+CB, then prove that IB+IA<CA+CB
c, Demonstrate the inequality MA+MB<CA+CB
Given the Triangle ABC and the point M inside the triangle (M don't belong on any sides of triangle).let I be the intersection point of the line BM and the side AC
a, compare MA to MI+MB,then prove that MA +MB<IB+IA
b, compare IB to IC+CB, then prove that IB+IA<CA+CB
c, Demonstrate the inequality MA+MB<CA+CB
true or false
1, there is only one midpoint for any given line segment
2, if AB+BC=AD then B lies between A and D
3, if AB+BC=AC then B is the midpoint of AC
4, If C is the midpoint of AB then AC=BC
5, if B belongs to Ox, A belongs to Oy, Ox and Oy are opposite then O is the midpoint of AB
Câu 1 The function mm is defined on the real numbers by m(k) = \dfrac{k+2}{k+8}m(k)= k+8 k+2 . What is the value of 10\times m(2)10×m(2)? Answer: Câu 2 The function ff is defined on the real numbers by f(x)= ax-3f(x)=ax−3. What is the value of a if f(3)=9f(3)=9? Answer: Câu 3 The function ff is defined on the real numbers by f(x)= 2x+a-3f(x)=2x+a−3. What is the value of a if f(-5)=11f(−5)=11? Answer: Câu 4 The function ff is defined on the real numbers by f(x) = 2 + x-x^2f(x)=2+x−x 2 . What is the value of f(-3)f(−3)? Answer: Câu 5 Given a real number aa and a function ff is defined on the real numbers by f(x)=-6\times|3x|-4f(x)=−6×∣3x∣−4. Compare: f(a)f(a) f(-a)f(−a) Câu 6 There are ordered pairs (x;y)(x;y) where xx and yy are integers such that \dfrac{5}{x}+\dfrac{y}{4}=\dfrac{1}{8} x 5 + 4 y = 8 1 Câu 7 Given a negative number kk and a function ff is defined on the real numbers by f(x)=\dfrac{6}{13}xf(x)= 13 6 x. Compare: f(k)f(k) f(-k)f(−k) Câu 8 Given a positive number kk and a function ff is defined on the real numbers by f(x)=\dfrac{-3}{4}x+4f(x)= 4 −3 x+4. Compare: f(k)f(k) f(-k)f(−k). Câu 9 A=(1+2+3+\ldots+90) \times(12 \times34-6 \times 68):(\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}+\dfrac{1}{6})=A=(1+2+3+…+90)×(12×34−6×68):( 3 1 + 4 1 + 5 1 + 6 1 )= Câu 10 Given that \dfrac{2x+y+z+t}{x}=\dfrac{x+2y+z+t}{y}=\dfrac{x+y+2z+t}{z}=\dfrac{x+y+z+2t}{t} x 2x+y+z+t = y x+2y+z+t = z x+y+2z+t = t x+y+z+2t . The negative value of \dfrac{x+y}{z+t}+\dfrac{y+z}{t+x}+\dfrac{z+t}{x+y}+\dfrac{t+x}{y+z} z+t x+y + t+x y+z + x+y z+t + y+z t+x is
The figure below shows a square ABCD of side 6 cm. Given that E is the midpoint of AB, points F and G are on BC so that BF = FG = GC. What is the total area of the shaded region in cm2?