Step-by-step explanation:
In figure:
∠PRT+∠RTP+∠TPR=180
O
(angle sum property of triangle)
⇒x+(180
O
−∠RTQ)+60
O
=180
O
(linear pair)
⇒x+(180
O
−97
0
)+60
o
=180
O
⇒x=31
o
Now, ∠PRT+∠TRQ+∠QRS=180
O
(angle of straight line)
⇒x+48
o
+y=180
O
⇒31
o
+48
o
+y=180
O
⇒y=101
0
Answer: y=-3x+5
Step-by-step explanation:
Slope-intercept form is y=mx+b. So to make your equation into slope-intercept form, simply subtract 3x from both sides, which results in y=-3x+5
The first one is a triangle because: The two smaller sides of a triangle must add up to be larger than the longest side.
14 + 12 = 26 > 19
Answer:
2*2 = 4
4^4 = 16
16 > x + 4
Step-by-step explanation:
X is any real number less than 12
Answer:
The following measurements are:
(Option #4)
(Option #7)
(Option #5)
(Option #2)
Step-by-step explanation:
To begin, we can find the measure of 
by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Since the intercepted arc (RS) is 46 degrees, we have:
Next, we can find the measure of arc QT using the same theorem. So,
Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of 
. Since the arc ST is part of the arc RST, and we know RS is 
, we can set up and solve this equation:
We can use the same idea to find RQ. We know that RQT is and QT is 
, so:
