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nasty-shy [4]
2 years ago
11

 PLEASE HELP ILL GIVE BRAINLIESTTTT :)

Mathematics
1 answer:
Andru [333]2 years ago
5 0

Angle P is 50 degrees

OP is 17cm

They are similar quadrilaterals so their corresponding parts are congruent.

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In △ABC, AB = 13.2m,
luda_lava [24]

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

\frac{sin A}{a} =  \frac{sin C}{c}

A = ?

a=6.9

C=90

c=13.2

\frac{sin A}{6.9} = \frac{sin 90}{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,

\frac{sin 134}{13.2}  = \frac{sin 14.5}{AH}

AH = 13.2 sin 14.5 / sin 134

AH≈4.6 m

length AH = 4.6 m

8 0
3 years ago
Naomi is 2/3 as tall as her father. If Naomi is 54 inches tall, how tall is her father.
AlekseyPX

Answer:

Her father is 81 inches tall.

Step-by-step explanation:

She is 2/3 as tall as her father so we divide her height by 2. 54/2=27 and then we multiply 27 by three to get 81 inches.

4 0
3 years ago
Read 2 more answers
Write a sentence representing the equation x+56/7=11
Anastasy [175]
Hey there! :D

x+56/7=11

A number plus fifty-six sevenths is equal to eleven. 

I hope this helps!
~kaikers
8 0
3 years ago
5+2x=2x+6<br> What's the answer?
Marina86 [1]

<u>Answer:</u>

Below!

<u>Step-by-step explanation:</u>

<u>We can solve this with the help of equations.</u>

  • 5 + 2x = 2x + 6
  • => -2x + 2x = -5 + 6
  • => 0 ≠ 1

<u>Since we are getting 0 ≠ 1 as our result, the problem has </u><u>no solution.</u>

Hoped this helped.

BrainiacUser1357

3 0
2 years ago
In a stadium, 1,000 tickets were sold. Children’s tickets cost $2.50 each and adults’ tickets cost $5.00 each. The revenue colle
Juli2301 [7.4K]

Answer:

400 children tickets and 600 adult tickets.

Step-by-step explanation:

children tickets in total cost=400x2.50

                                             =1000

adult tickets in total cost=600x5.00

                                             =3000

total cost is 4000

4 0
2 years ago
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