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Margaret [11]
3 years ago
5

Help! What is the answer?

Mathematics
1 answer:
fiasKO [112]3 years ago
5 0

Answer: 22.4

Explanation:

The pieces of the chords multiply together to get the same result. This is from the intersecting chord theorem.

The first chord has pieces of 10 and x, which multiply to 10*x

This is equal to the other product found by multiplying the pieces 14 and 16 (from the other chord)

10*x = 14*16

10x = 224

x = 224/10 ... divide both sides by 10

x = 22.4

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4. The length of a rectangle is 4 more than its width. The perimeter of the rectangle is 60cm.
sergey [27]

Step-by-step explanation:

let width = w

if width = w, then length = w + 4

Therefore the perimeter is 2w + 2(w+4)

2w + 2(w+4) = 4w + 8

perimeter = 60cm

4w + 8 = 60

<em>-8</em>

4w       = 52

<em>divide each side by 4</em>

w = 13

length = w+4

therefore, length = 17

3 0
3 years ago
Olivia has $240 in her bank account. Each month, her bank deducts a $12.50 fee for maintaining a balance below $250. If Olivia m
Vikentia [17]
Olivia will have $177.50 in the end of five months after all fees.
8 0
3 years ago
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Four less than 2 times the quantity of a number minus 3 is 12
svetlana [45]

Answer:

11.

Step-by-step explanation:

(2(n-3))-4=12

(2n-6)-4=12 <em>distribute</em>

2n-6-4=12

2n-10=12

2n=12+10 <em>isolate</em><em> </em><em>n</em><em> </em>

2n=22

2n÷2=22÷2

n=11

7 0
3 years ago
. Una persona desea realizar una pintura para su próxima exposición en donde esta tenga tres colores fluorescentes y dos colores
ycow [4]

Answer: B. 350.

Step-by-step explanation:

Given: Total number of fluorescent colors = 7

Total number of pastel colors = 5

Since , he want three fluorescent colors and two pastel colors.

Number of ways to select r things out of n things = ^nC_r=\dfrac{n!}{r!(n-r)!}

Number of ways to choose colors = ^7C_3\times\ ^5C_2

=\dfrac{7!}{3!4!}\times\dfrac{5!}{2!3!}\\\\=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}\times\dfrac{5\times4\times3!}{2\times3!}\\\\=350

Hence, the correct option is B. 350.

3 0
2 years ago
How many sides would there be in a convex polygon if the sum of all but one of its interior angles is $1070^{\circ}$
Gwar [14]

Convex Polygon:

A polygon is called a convex polygon when no line segments between the points, goes inside. The boundaries of the convex polygon do not go inside and all the vertices are pointed outside away from the center. The interior angles of a convex polygon are less than 180°.

Lets simplify the given problem,

If we try using 1070 degrees as the sum of the interior angles of a convex polygon, we get:

1070 =[n - 2] x 180, where n = number of sides

1070 =180n - 360180n =1070+360180n =1430n = 1430 / 180

n = 7.94 number of sides. Since this is not a whole number, will simply round it up to 8.

Hence the number of sides is 8

Learn more about Convex Polygon on:

https://brainly.ph/question/14274548

#SPJ4

5 0
2 years ago
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