answer: 32, 72
question 6
angle PQR and 148 are supplementary angles, so they add up to 180
PQR + 148 = 180
PQR = 180 - 148 = 32
question 7
in triangle RTS, all three angles must add up to 180
angle R = angle PQR = 32
angle S = 180 - 104 = 76 (because of supplementary angles)
angle T = angle RTS (we need to find this)
32 + 76 + angle RTS = 180
angle RTS = 72
Hello!
As you cans see, the angle is a right angle, which measures 90°. One of the angles measure 35°
90 - 35 = 55
That means 5x = 55°
Divide both sides by 5
Answer:
4.5 miles
Step-by-step explanation:
Joe wants to divide his 135-mile goal into 30 equal pieces. Each (daily) piece will be ...
... (135 mi)/(30 da) = 4.5 mi/da
Answer: 3 or -3
Step-by-step explanation:
4 - |x| = 1
First subtract 4
-|x| = -3
The | | sign makes it both positive and negative
So -|3| and -|-3| will = -3
Answer:
36years
Step-by-step explanation:
Let charity present age be x
Charity daughter present age be y
Charity husband present age be z
If the sum of their ages ten years to come is 117, then;
10+x+10+y+10+z = 117
30+x+y+z = 117
x+y+z = 87 ... 1
If charity is four times as old as her daughter, then;
x = 4y
y = x/4 ... 2
If she is also six years younger than her husband, then;
x = z- 6
z = x+6 .. 3
Substitute 2 and 3 into 1;
x + x/4 + (x+6) = 87
Multiply through by 4
4x + x + 4(x+6) = 4(87)
5x+4x+24 = 348
9x = 348 - 24
9x = 324
x = 324/9
x = 36
hence Charity is 36years old today
