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3 years ago

Find the measure of c. A. 136 B. 144 C. 123 D. 149

Mathematics

1 answer:

-BARSIC- [3]3 years ago

4 0

Answer:

Option (D)

Step-by-step explanation:

Given quadrilateral in the circle is a cyclic quadrilateral.

By using the property of cyclic quadrilateral,

"Sum of each pair of opposite angles is 180°".

In the given cyclic quadrilateral,

d + 57° = 180°

d = 180 - 57

d = 123°

Similarly, c + 31° = 180°

c = 180° - 31°

c = 149°

Therefore, Option (D) will be the answer.

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A stack of $20, $50, and $100 bills was retrieved as part of a police investigation. There were 42 42 more $50 bills than $1

Misha Larkins [42]

Answer:

The number of $100 bills was 27.

The number of $50 bills was 69.

The number of $20 bills was 189.

Step-by-step explanation:

Let x be the number of $20 bills, y the number of $50 bills, and z the number of $100 bills.

Since there are three unknown values, we need three equations to solve the problem, all of them can be extracted from the question itself, two as the ratios between different bills and the last one as the sum of the total value of the money :

$y=z+42\\x=7*z\\20x+50y+100z = 9,930$

Substituting the first equations into the last, it is possible to find the value for z:

$20(7z)+50(z+42)+100z = 9,930\\z=\frac{9,930-2100}{290} \\z=27$

Knowing that there were 27 $100 bills, we can go back to the first two equations to find x and y:

$y=z+42=27+42\\y= 69\\x=7*z=7*27\\x= 189$

The number of $100 bills was 27.

The number of $50 bills was 69.

The number of $20 bills was 189.

6 0

3 years ago

Quick !<br> The perimeter of the rectangle below is 118 units. Find the length of side AD.

NARA [144]

Answer:

Step-by-step explanation:

the perimeter is all sides added up

therefore to solve for "z"

3z + 3z + 4z + 3 + 4z + 3 = 118

simplify

14z + 6 = 118

isolate z by first subtracting 6 from both sides and then dividing by 14 for both sides

z=8

plug z into side CB as AD and CB are congruent

3(8)

=24

6 0

3 years ago

is the answer b ?? i could be wrong , but i thought that you'd have a 50% chance when flipping coins .

vovikov84 [41]

The experimental probability is how many times it landed on heads over the amount of times it was flipped.

The coin landed on heads 32 times out of 50 flips which is 32/50 which equals 0.64, which is 64%

The answer is D.

7 0

3 years ago

If f(x)=2x and g(x)=x^{2}-1, which statement is true?

Alona [7]

It is d
...............................................

3 0

4 years ago

What is the midpoint of the segment shown below? (-2,4) (6,-4)

tresset_1 [31]

<h2>solution :</h2>

let's assume the Coordinates be x and y

By using Section formula,

$\boxed{ x = (\dfrac{x_2 + x_1}{2} )}$

$x = \dfrac{ - 2 + 6}{2}$

$x = \dfrac{4}{2}$

$x = 2$

____________________

$\boxed {y = (\dfrac{y_2 + y_1}{2} )}$

$\dfrac{ - 4 + 4}{2}$

$\dfrac{0}{4}$

____________________

$\mathrm{Therefore \:\:the\:\: Coordinates\:\: of \:\:the\;\; mid-point\;\: of \;\;the\:\: given\:\: segment\:\; is}$

$\huge \boxed{(2,0)}$

_____________________________

$\mathrm{ \#TeeNForeveR} \: ☃$

8 0

3 years ago