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EleoNora [17]
3 years ago
11

Please help it’s in the picture

Mathematics
1 answer:
Alisiya [41]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

When 2 chords intersect then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

4x = 16 × 7 = 112 ( divide both sides by 4 )

x = 28

Thus

diameter = LK = 4 + 28 = 32 cm

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Simplify the expression -3(10x + 4y) + 6(6x − 2y)
IgorC [24]
-30x-12y+36x-12y

Combine the x' s first

6x-12y-12y

Combine the y's

6x-24y is your answer
4 0
3 years ago
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In a survey of 2957 adults, 1455 say hey have started paying bills online in the least year construct a 99% confidence interval
Vikki [24]

Answer: 0.49 ± 0.0237

Step-by-step explanation: A interval of a 99% confidence interval for the population proportion can be found by:

p_{hat} ± z.\sqrt{\frac{p_{hat}(1-p_{hat})}{n} }

p_{hat} is the proportion:

p_{hat} = \frac{1455}{2957}

p_{hat} = 0.49

For a 99% confidence interval, z = 2.576:

0.49 ± 2.576.\sqrt{\frac{0.49(1-0.49)}{2957} }

0.49 ± 2.576.\sqrt{\frac{0.49*0.51}{2957} }

0.49 ± 2.576.(0.0092)

0.49 ± 0.0237

For a <u>99% confidence interval</u>, the proportion will be between 0.4663 and 0.5137 or 0.49 ± 0.0237

7 0
3 years ago
As her senior project, Julie has decided to raise money for a charity by hosting a Spaghetti Dinner. In order to have the dinner
natulia [17]

Answer:

The algebraic expression is 6x = 100

3 0
3 years ago
Triangle ABC has been rotated 90° to create triangle DEF. Write the equation, in slope-intercept form, of the side of triangle A
Ket [755]

the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1

<h3>How to determine the equation</h3>

From the figure given, we can deduce the coordinates of the sides

For A

A ( 4,2)

For B

B ( 4, 5)

C ( 1, 2)

D ( 2, -4 )

E  ( 5, -4)

F ( 2, -1)

The slope for BC

Slope = \frac{y2 - y1}{x2 - x1}

Substitute the values for both B and C coordinates, we have

Slope = \frac{2- 5}{1 - 4}

Find the difference for both the numerator and denominator

Slope = \frac{-3}{-3}

Slope = 1

We have the rotation for both point ( 0, 1)

y - y1 = m ( x - x1)

The values for y1 and x1 are 1 and 0 respectively and the slope m is 1

Substitute the values

y - 1 = 1 ( x - 0)

y - 1 = x

Make 'y' the subject of formula

y = x + 1

Thus, the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1

Learn more about linear graphs here:

brainly.com/question/4074386

#SPJ1

4 0
2 years ago
Find the value of x. Then find the measure of the red arc.
Elza [17]

Answer:

x = 70 degrees, red arc= 110 degrees

Step-by-step explanation:

x and 2x-30 added together is 180 degrees.

We can make an equation to find x,

x + (2x - 30) = 180

3x - 30 = 180

Add 30 to both sides to isolate x

3x = 210

By dividing both sides by 3, we get x = 70

Now we know the red arc is 2x - 30. We can plug x in because we know the value now.

2(70) - 30

140 - 30

Red Arc = 110 degrees

8 0
3 years ago
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