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natta225 [31]
2 years ago
10

Please Answer! sorry i put the wrong page on my last one

Mathematics
1 answer:
zhenek [66]2 years ago
7 0

Answer:

150 degrees

Step-by-step explanation:

They are corresponding angles so they are congruent.

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The sum of two numbers is 9 and the sum of their squares is 41. What is the larger number?
Sonbull [250]

The larger number is 5.

<u><em>Explanation</em></u>

Lets assume, the larger number is a and the smaller number is b

As the sum of two numbers is 9, so...

a+b= 9 ...............................(1)

Now, the sum of their squares is 41, so....

a^2 + b^2 = 41 .......................................(2)

First, solving equation (1) for b....

b=9-a

Now, plugging this b=9-a into equation (2) , we will get...

a^2 +(9-a)^2 = 41\\ \\ a^2 +81-18a+a^2 =41 \\ \\ 2a^2-18a+81 =41 \\ \\ 2a^2-18a+40=0\\ \\ 2(a^2 -9a+20)=0\\ \\ a^2 -9a+20=0\\ \\ (a-5)(a-4)=0\\ \\ a=5,4

If a=5 , then b=9-5=4

So, the larger number is 5.

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3 years ago
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Employees at a company are given £800 to spend on items for the office.
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In the diagram, segments AD and AB are tangent to circle C. Solve for x.
Irina-Kira [14]
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the two segments AD and AB are equal therefore if you make the two equal to each other you will get the answer: 

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Answer:

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If they jog 12 km/h for half an hour, they have covered.

12 X 0.5 = 6km in 10 circuits. Making 1 perimeter

6 / 10 =0.6 km (600 m).

To determine area we need to convert this perimeter to length and width. We know that it is a rectangle, with 2 equal widths and 2 equal lengths, and the length is twice the width.

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