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daser333 [38]
3 years ago
8

What is the length of AB? 15 9 4.5 18

Mathematics
2 answers:
Otrada [13]3 years ago
5 0

Answer:

18

Step-by-step explanation:

Let X be the midpoint of the chord AB

Distance between X and the centre:

15-3 = 12

XB² = 15² - 12²

XB² = 81

XB = 9

AB = 2XB = 18

Ivan3 years ago
4 0

Answer:

4.5

Step-by-step explanation:

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The angle of rotation at which point A’ coincidences point
anygoal [31]

Answer:

216 degrees

Step-by-step explanation:

Given that ABCDE is a regular pentagon.

Hence each angle would equal = {2(5)-4}/5 right angles

=6(90)/5 =108 degrees

Since regular pentagon rotation will not disturb the shape.

When counterclockwise rotated, if 108 degrees rotated A would become E.

For another 108 degrees A would come to D

Hence angle required for rotation for A to coincide with D = 2(108)

=216 degrees

8 0
3 years ago
Quadrilateral ABCD is shown. If m angles?
artcher [175]

Answer: m∠BCE = 63°

              m∠BAD = 76°

Step-by-step explanation:

Problem 1:

Given

m∠BEC = 90°

m∠EBC = 27°

Total = 117°

Solution:

Subtract 180° - 117° = m∠BCE = 63°

Problem 2:

Given

m∠ADE = 52°

m∠ABE = 52°

Total = 104°

Solution:

Subtract 180° - 104° = m∠BAD = 76°

6 0
3 years ago
Lorena is trying to choose between two different savings accounts at H-Town Bank. She will deposit $3,500 dollars and will leave
emmainna [20.7K]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
The Chickens and Pigs Problem A farmer saw some chickens and pigs in a field. He counted 15 heads and 44 legs. Problem solve to
Flauer [41]

Answer:

15 pigs 22 chickens

Step-by-step explanation:

So if there are 15 heads, that means there 15 pigs and we know chickens have 2 legs, so we do do 44/2 = 22, so there are 15 pigs and 22 chickens

6 0
4 years ago
Which point would be a solution to the system of linear inequalities ?
brilliants [131]

Answer:

(12,-6)

Step-by-step explanation:

we have

y\leq \frac{4}{3}x+5 ----> inequality A

y\geq -\frac{5}{2}x+5 ---> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

<u><em>Verify each point</em></u>

Substitute the value of x and the value of y  of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

Inequality A

-1\leq \frac{4}{3}(0)+5

-1\leq5 ----> is true

Inequality B

-1\geq -\frac{5}{2}(0)+5

-1\geq 5 ----> is not true

therefore

The ordered pair is not a solution of the system

case 2) (0,3)

Inequality A

3\leq \frac{4}{3}(0)+5

3\leq5 ----> is true

Inequality B

3\geq -\frac{5}{2}(0)+5

3\geq 5 ----> is not true

therefore

The ordered pair is not a solution of the system

case 3) (-6,-6)

Inequality A

-6\leq \frac{4}{3}(-6)+5

-6\leq-3 ----> is true

Inequality B

-6\geq -\frac{5}{2}(-6)+5

-6\geq 20----> is not true

therefore

The ordered pair is not a solution of the system

case 4) (12,-6)

Inequality A

-6\leq \frac{4}{3}(12)+5

-6\leq21 ----> is true

Inequality B

-6\geq -\frac{5}{2}(12)+5

-6\geq -25 ----> is true

therefore

The ordered pair is a solution of the system (makes true both inequalities)

8 0
3 years ago
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