Answer:
angle YUT = 120
Step-by-step explanation:
in Triangle SUT
angle 70 + angle 50 + angle x = 180
70 + 50 + x = 180
120 + x = 180
x = 180 - 120
x = 60
angle SUT = 60
angle SUT + angle YUT = 180 ( straight line)
60 + x = 180
x = 120
Therefore angle YUT ( exterior angle ) = 120
<span>Given the two end of the diameter of the circle, we are able to compute the center of the circle as 0.5*[(-1,3)+(7,-7)]=(3,-2). The radius of the circle is 0.5*sqrt[(-1-7)^2+(3+7)^2]=sqrt(41). Therefore the equation of the circle is (x-3)^2+(y+2)^2=41.</span>
Answer:
Step-by-step explanation:
The rule is if 2 chords intersect inside a circle, then the measure of the angle formed is one half the um of the measure of the arcs intercepted by the angle and its vertical angle. In other words, angle TSU = 1/2(arc TU + arc MV):
angle TSU = 1/2(90 + 80) and
angle TSU = 1/2(170) and
angle TSU = 85
Let's assume the some number be h.
Now the given statement is "seven less than some number".
Which means we need to take out 7 from h. Hence, it can be translate into an algebraic expression as h-7.
Answer:
100
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
x(x - y)²
x = 4
y = 9
Step 2: Substitute and Evaluate
4(4 - 9)²
4(-5)²
4(25)
100
