Since z is GREATER THAN two angles in the triangle it must be obtuse..
meaning it is GREATER THAN 90 degrees this means that the other two angles cannot equal 90 degrees they have to be less
m∠X + m∠Y < 90°
9514 1404 393
Answer:
Step-by-step explanation:
The measure of an inscribed angle (QTR) is half the measure of the arc it intercepts. The measure of an arc is the same as the measure of the central angle it intercepts. So, we have ...
∠QSR = 2×∠QTR
∠QSR = 2×39°
∠QSR = 78°
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Sides SQ and SR are radii of circle S, so are the same length. That means triangle QRS is an isosceles triangle and the base angles SQR and SRQ are congruent. The sum of angles in a triangle is 180°, so we have ...
∠QSR + 2(∠SQR) = 180°
78° + 2(∠SQR) = 180° . . . . fill in the value we know
2(∠SQR) = 102° . . . . . . . . . subtract 78°
∠SQR = 51° . . . . . . . . . . . . .divide by 2
Answer:
1st number: 20
2nd number: 25
3rd number: 75
Step-by-step explanation:
x + y + z = 120
x = y - 5
z = 3y
plug that in!
(y-5) + y + (3y) = 120
remove the parenthesis (I used them to show you what I was replacing), and add like terms.
5y - 5 = 120
move -5 to the other side
5y = 120 + 5
5y = 125
divide both sides by 5
y = 25
now that you have one number, use the equations from before to solve for the rest!
x = (25) - 5
z = 3(25)
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x = 20
y = 25
z = 75
Answer:
21, and 23
Step-by-step explanation:
divide 44 by 2 to find the integer that spits it up perfectly into two. Then just add 1 to one 22 and minus 1 to the other. Then its 21 and 23.
The probability is likely but not impossible. there is a 4/5 chance she will not spend a four.