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Stells [14]
2 years ago
13

Give the value of x . A. 60 degrees B. 180 degrees C. 120 degrees D. 45 degrees

Mathematics
1 answer:
Harrizon [31]2 years ago
5 0

Answer:

x=120°

Step-by-step explanation:

sum of all angles in a triangle is equal to 180

let the unknown angle be

\alpha

60 + 60 +  \alpha  = 180 \\  \alpha  = 180 - 60 - 60 \\  \alpha  = 60 \\

\alpha  + x = 180 \\ x = 180 -  \alpha  \\ x = 180 - 60 \\ x = 120

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By the Pythagoras theorem, in a right triangle with the sides being a and b,

 a² + b² = Hypotenuse²

Hypotenuse² = 4² + 4²

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Thus, hypotenuse = 4√2


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3 years ago
Su has 5 times as many marbles as Bertha. When Su gives Bertha 10 marbles, they have the same amount. How many marbles did they
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Answer:

Part A)

The number of marbles that Su has at the beginning is 25

The number of marbles that Bertha has at the beginning is 5

Part B)

The number of marbles that Su has at the end is 15

The number of marbles that Bertha has at the end is 15

Step-by-step explanation:

Let

x------> number of marbles that Su has at the beginning

y------> number of marbles that Bertha has at the beginning

we know that

x=5y ----> equation A

x-10=y+10 ----> equation B

substitute equation A in equation B

(5y)-10=y+10

4y=20

y=5

Find the value of x

x=5(5)=25

Part A) How many marbles did they EACH have at the begining?

The number of marbles that Su has at the beginning is 25

The number of marbles that Bertha has at the beginning is 5

Part B) How many did they EACH have at the end?

x-10=y+10

so

25-10=5+10

15=15

therefore

The number of marbles that Su has at the end is 15

The number of marbles that Bertha has at the end is 15

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Step-by-step explanation:

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