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Strike441 [17]
3 years ago
7

Find the measures of each angle in the triangle.

Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0
We use 2 different rules here:

1) sum of angles in a triangle is equal to 180 degrees

2) when a triangle side is a diameter of the circle, then angle opposite to diameter is equal to 90 degrees.

so from 2) we know that B= 90

then from first one:

sum of angles = 180 = 90 + (3x + 6) + x = 96 + 4x

so 180 - 96 = 4x
so x = 84/4
x = 21

so answer is
A= 3x+ 6 = 63 + 6 = 69
B = 90
C = 21
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igomit [66]

Answer:

m\angle STR=24^o

Step-by-step explanation:

we know that

m\angle STQ=m\angle STR+m\angle RTQ ---> by addition angle postulate

we have

m\angle STQ=48^o ----> given problem

m\angle STR=m\angle RTQ ----> given problem

substitute in the expression above

48^o=2m\angle STR

Divide by 2 both sides

m\angle STR=24^o

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4 years ago
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Line segment BD is a diameter of circle E. What is the measure of arc ?
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Answer:

78

Step-by-step explanation:

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9. Your bank account has a balance of $145.67. You make a withdrawal
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There is $103.15 in your bank account.
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Which fraction has a terminating decimal as its decimal expansion?
alex41 [277]
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'One fifth' as decimal is 1 ÷ 5 = 0.2 ⇒ The decimal terminates at the tenth value

'One seventh'  as decimal 1 ÷ 7 = 0.142857142857.... ⇒ The decimal is recurring for every digit between 1 and 7

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Solve the system algebraically. Check your work.
Luden [163]

answer.

Answer:

x=2 and y=0 is the required result.

Step-by-step explanation:

We have been given system of equations:

5x+2y=105x+2y=10     (1)

And 3x+2y=63x+2y=6      (2)

We will use elimination method:

Multiply 1st equation by 3 and 2nd equation by 5 we get:

15x+6y=3015x+6y=30      (3)

15x+10y=3015x+10y=30      (4)

Now subtract  (4) from (3) we get:

-4y=0−4y=0

y=0y=0

Now, put y=0 in (1) equation:

5x+2(0)=105x+2(0)=10

5x=105x=10

x=2x=2

Hence, x=2 and y=0

8 0
4 years ago
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