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Iteru [2.4K]
2 years ago
5

What is the measure of angle BCD? 98 110 82 70

Mathematics
1 answer:
Dafna11 [192]2 years ago
4 0

Answer:

82

Step-by-step explanation:

opposite angles in a cyclic quadrilateral are supplimentary

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A 55m and 35m broad park is surrounded by a 2.5m wide path.
daser333 [38]

Step-by-step explanation:

☄ \underline {\underline{ \text{Given}}} :

  • Length of a park ( l ) = 55 m
  • Breadth of a park ( b ) = 35 m
  • Width running outside the park ( d ) = 2.5 m
  • Rate of paving the path with stones = Rs 120 per sq.metre

☄ \underline{ \underline{ \text{To \: find}}}:

  • Area of the park
  • Cosy of paving the path with stones at Rs 130 per sq.metre

☄ \underline{ \underline{ \text{Solution}}} :

Part 1 : \boxed{\text{Area \:of \:a \:path \: running \:outside = 2d(l + b + 2d)}}

plug the known values and simplify :

⟹ \sf{2 \times 2.5(55 + 35 + 2 \times 2.5)}

⟹ \sf{5  \times 95}

⟹ \sf{475 \:  {m}^{2} }

Part 2 : \boxed{ \sf{Total \: cost = Area \: of \: paths \:  \times  Rate}}

⟹ \sf{475  \times 120}

⟹\sf{Rs \: 57000}

\purple{ \boxed{ \boxed{ \sf{ \tt{⟿ \: Our \: final \: answer : (i) = 475 \:  {m}^{2}   \:  and \: (ii ) = Rs \: 57000}}}}}

Hope I helped ! ♡

Have a wonderful day /night ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

7 0
3 years ago
The figure shows two intersecting lines and the measures of the resulting angles. Write an equation to help you solve for x. The
Svetlanka [38]

<u>Given</u>:

The given figure shows the intersection of the two lines.

The angles formed by the intersection of the two lines are (3x - 8)° and (2x + 12)°

We need to determine the equation to solve for x and to find the value of x.

<u>Equation to solve for x:</u>

Since, the two angles (3x - 8)° and (2x + 12)° are vertically opposite angles and the vertical angles are always equal.

Hence, we have;

3x-8=2x+12

Thus, the equation to solve for x is 3x-8=2x+12

<u>Value of x:</u>

The value of x can be determined by solving the equation 3x-8=2x+12

Thus, we have;

x-8=12

     x=20

Thus, the value of x is 20.

3 0
3 years ago
What is the length of the hypotenuse of the triangle when x=7?
Anika [276]

Answer:

c=57.8

Step-by-step explanation:

6*7+4=46

5*7=35

c= 46^2+35^2=57.80138

7 0
3 years ago
What’s the correct answer for this?
STatiana [176]

Answer:

6.7

Step-by-step explanation:

8 0
3 years ago
Thom's restaurant bill is 45$ and he leaves a 20 percent tip. what is the total cost for thom's meal
katrin [286]
The total cost of the meal will be $54.
45 + 20% = 54
5 0
3 years ago
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