Answer:
x=3 or x= 1/3
Step-by-step explanation:
Let the number = x
The reciprocal of the number = 1/x
According to the given statement:
x+1/x=10/3
x²+1/x=10/3
3(x²+1)=10x
3x²+3=10x
Move 10x to the L.H.S
3x²-10x+3=0
Break the middle term:
3x²-9x-x+3=0
3x(x-3)-1(x-3)=0
(x-3)(3x-1)=0
x-3=0 , 3x-1=0
x=0+3 , 3x=0+1
x=3 , 3x=1
x=3 ,x = 1/3
So x=3 or x= 1/3 ....
Answer:
A) 128
B) 7800
Step-by-step explanation:
Trial and error until I got to 75 x 104 and 60 x 128 (which abides by the fact that there has to be 24 more red boxes) which equals 7800 and 7680 and if you take them away from each other you get 120
1) Angles IDO and ILO are congruent, and both measure 122 degrees. So, as angles in a quadrilateral add to 360°, angle LOD measures 360-122-122-32=84°
2) As referred to in the first question, angle ODI measures 122°
3) In a kite, there are two pairs of disjoint congruent sides. This means that in this case, ID=IL=21 and LO=OD. As the perimeter is 74, this means LO=(74-21(2))/2=16
4) LI=ID, so ID=21
The value of the 3 is 3/10 and so the
9 equals 9/100
Answer:
Angle A= 77.14°
Angle B= 102.86°
Step-by-step explanation:
Supplementary angles are angles that add up to 180°, as stated in the question.
This means that Angle A + Angle B= 180°
The measure of Angle A to Angle B is 3:4
3:4 --------> 3+4 = 7 total parts
Hence, angle A will be 3/7 of the total angle (180°)
angle B will be 4/7 of the total angle (180°)
That is, angle A = 3/7 × 180° = 77.1428°
angle B= 4/7 × 180° = 102.857°
Approximately, angle A = 77.14° while angle B= 102.86°
