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harina [27]
3 years ago
14

36° Diagram NOT accurately drawn Work out the size of angle y.

Mathematics
2 answers:
vichka [17]3 years ago
4 0
Answer = 288

Method:
Angles in a triangle add up to 180
The triangle is isosceles so the two interior angles at the bottom will be the same
180-36=144
Because you have two angles at the bottom you need to divide by two so
144/2=72 - that is the interior angle
To find y, all you need to do now is
360-72 = 288 (because angles round a point add up to 360)
And you have your answer
Hope this helps!
vovikov84 [41]3 years ago
3 0
The angles in a isosceles triangle add up to 180 degrees.
so 180 degrees take away 36 degrees = 144 degrees.
base angles in a isoceles triangle are equal so 144 divided by 2 = 72 degrees.
so to find out y you do 360 - 72 = 288 degrees
therefore y = 288degrees
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How many ways can David pick four of the first twelve positive integers such that no two of the numbers he picks are consecutive
vekshin1

Answer:

70 times

Step-by-step explanation:

5 consecutive even integers: 2n, 2n+2, 2n+4, 2n+6, 2n+8 for any integer n The sum of the two smallest of five consecutive even integers is 50 less than the sum of the other three integers: 2n + 2n+2 = 2n+4 + 2n+6 + 2n+8 - 504n + 2 = 6n -3234 = 2nn = 17 The smallest integer in our sequence is 2n = 2*17 = 34 Check:2n + 2n+2 = 2n+4 + 2n+6 + 2n+8 - 5034 + 36 = 38 + 40 + 42 - 5070 = 120 - 5070 = 70

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3 years ago
Q1. Ten percent of the items produced by a machine are defective. A random sample of 100 items is selected and checked for defec
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Sample size : n = 100

Now, the standard error of the proportion is given by :-

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3 years ago
In ∆ABC, m∠ACB = 90°, m∠A = 40°, and D ∈ AB such that CD is perpendicular to side AB. Find m∠DBC and m∠BCD.
podryga [215]

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Use the Triangle Sum Theorem for ΔABC to find ∠B:

∠A + ∠B + ∠C = 180°

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BCD is a right triangle where ∠B = 50° and ∠D = 90°.

Use the Triangle Sum Theorem for ΔBCD to find ∠C:

∠B + ∠C + ∠D = 180°

50° + ∠C + 90° = 180°

         ∠C + 140° = 180°

                  ∠C = 40°

8 0
3 years ago
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