Answer:
Step-by-step explanation:
Answer:since there is no diagram i will answer to the best of my ability.
Step-by-step explanation:
If an angle is bisected then it is divided into 2 equal angles which i think they are naming 4x and 3y. In this case, 4x=3y. Solving for x, we get x= (3y)/4. Solving for y we get y= (4x)/3. Now if we substitute (4x)/3 for y in the equation x= (3y)/4 then x= (3(4x)/3)/4 = 4x/4=× so then we can say x÷y = measure of original angle that was bisected. Or znother way it can be said is x+y = 2x or x+ y =2y.
Answer:
(i) ∠ABH = 14.5°
(ii) The length of AH = 4.6 m
Step-by-step explanation:
To solve the problem, we will follow the steps below;
(i)Finding ∠ABH
first lets find <HBC
<BHC + <HBC + <BCH = 180° (Sum of interior angle in a polygon)
46° + <HBC + 90 = 180°
<HBC+ 136° = 180°
subtract 136 from both-side of the equation
<HBC+ 136° - 136° = 180° -136°
<HBC = 44°
lets find <ABC
To do that, we need to first find <BAC
Using the sine rule
=
A = ?
a=6.9
C=90
c=13.2
=
sin A = 6.9 sin 90 /13.2
sinA = 0.522727
A = sin⁻¹ ( 0.522727)
A ≈ 31.5 °
<BAC = 31.5°
<BAC + <ABC + <BCA = 180° (sum of interior angle of a triangle)
31.5° +<ABC + 90° = 180°
<ABC + 121.5° = 180°
subtract 121.5° from both-side of the equation
<ABC + 121.5° - 121.5° = 180° - 121.5°
<ABC = 58.5°
<ABH = <ABC - <HBC
=58.5° - 44°
=14.5°
∠ABH = 14.5°
(ii) Finding the length of AH
To find length AH, we need to first find ∠AHB
<AHB + <BHC = 180° ( angle on a straight line)
<AHB + 46° = 180°
subtract 46° from both-side of the equation
<AHB + 46°- 46° = 180° - 46°
<AHB = 134°
Using sine rule,
=
AH = 13.2 sin 14.5 / sin 134
AH≈4.6 m
length AH = 4.6 m
Answer: Mason has 40 forty-nine cent stamps, 16 twenty cent stamps and 25 three cent stamps
Step-by-step explanation:
Let x represent the number of 49 cent stamps that Mason has.
Let y represent the number of 20 cent stamps that Mason has.
Let z represent the number of 3 cent stamps that Mason has.
Mason has a collection of 49 cent stamps, 20 cent stamps, and 3 cent stamps worth $23.55. This means that
0.49x + 0.2y + 0.03z = 23.55 - - - - -1
He had 56 total 49 cent and 20 cent stamps. This means that
x + y = 56
x = 56 - y
The number of 3 cent stamps is nine more than the number of 20 cent stamps. This means that
z = y + 9
Substituting x = 56 - y and z = y + 9 into equation 1, it becomes
0.49(56 - y) + 0.2y + 0.03(y + 9) = 23.55
27.44 - 0.49y + 0.2y + 0.03y + 0.27 = 23.55
27.44 + 0.27 - 0.49y + 0.2y + 0.03y = 23.44
27.71 - 0.26y = 23.55
- 0.26y = 23.55 - 27.71
- 0.26y = - 4.16
y = - 4.16/ - 0.26y
y = 16
x = 56 - y = 56 - 16
x = 40
z = y + 9 = 16 + 9
z = 25
Answer:
B
Step-by-step explanation:
=tyhgff GJ jhvcvvbvcccvjuuuu hgfdvghg jhvgfgg bbvcfff bbvcfff bbvcfff hbbjggg hhfccgyhb 5th and 3rd of November in a rectangle has been released in December 5th of July in a square of the area and I am very interested to the area and I look for the position and am looking forward for the position of your firm in my work to be a great fit and would love ms your help and if I could help with any other things