Answer:
RT-ST=QS-ST, because subtracting the same quantity from two lines that have been stated to be equal.
Therefore RS=TQ
Angle R=Angle Q, because it is an isosceles triangle
Triangle AR
S is congruent to ATQ.
AT=AS
Because TAS is isosceles, angles 5 and 6 are equal.
Therefore, angles 4 and 7 are equal, because they are supplementary angles of the same angle.
And angles 1 and 3 are equal, because the other two angles in the triangle are equal.
The triangles RAT and QAS are congruent with SAS.
Step-by-step explanation: Can u gimme brain plz!
Answer:
y=mx+c
We have to find the value of m and c.
Let's substitute the value of x and y from the table.
When x=1, y=15,
15= m(1)+c
m +c= 15 ------(1)
Now substitute another set of x and y values.
When x=2, y=24,
24= m(2)+c
2m +c= 24
c= 24 -2m ------(2)
Let me rewrite the two equations so that it is clearer for you to see.
m + c= 15 -----(1)
c = 24 -2m -----(2)
subst. (2) into (1):
m+ 24-2m= 15
-m= 15-24 (bring constants to 1 side, m terms to the other)
-m= -9 (simplify)
m= 9 ( divide by -1 throughout)
subst. m=9 into (2):
c= 24 -2(9)
c= 24-18
c= 6
Thus, the equation is y=9x+6.
When the cat is 3 years old, x=3.
When x=3,
y= 9(3)+6
y= 33.
Hence, the cat is 33 years old in human years.
Well, since point A represents the center, and B represents a point on the outer line of the circle, segment AB would represent the radius, since the radius represents the length from the center to the outside of a circle
Hope this helps
Answer:
180 tacos and 100 burritos was sold
Step-by-step explanation:
Let <em>t</em><em> </em>represent tacos
Let <em>b</em><em> </em>represent burritos
<em>t</em><em> </em>+ <em>b</em><em> </em>= 280
<em>2t</em><em> </em>+ <em>3b</em><em> </em><em>=</em><em> </em><em>660</em>
From t + b = 280,
t = 280 - b
Substitute t = 280 - b in 2t + 3b = 660
2t + 3b = 660
2(280 - b) + 3b = 660
560 - 2b + 3b = 660
560 + b = 660
b = 660 - 560
b = 100
Substitute b = 100 in t + b = 280
t + b = 280
t + 100 = 280
t = 280 - 100
t = 180
t = tacos = 180
b = burritos = 100
