Answer to question:
inverse property
“Staying the same”
adding a number to itself results in a sum of zero
Answer:
Question 4: -11
Question 5: -7
Step-by-step explanation:
Four
Every triangle has 180 degrees.
So all three angles add to 180
<em><u>Equation</u></em>
60 + 80 + x + 51 = 180
<em><u>Solution</u></em>
Combine the like terms on the left. This is the first time I've seen x be a negative value. Almost all of the time it isn't, which should make you wonder.
191 + x = 180
Subtract 191 from both sides.
191 - 191 + x = 180 - 191
x = - 11
Five
If a triangle is a right triangle and one of the angles is 45, then so is the other one.
<em><u>Proof</u></em>
a + 45 + 90 = 180 Combine like terms on the left
a + 135 = 180 Subtract 135 on both sides.
a + 135-135=180-135 Combine the like terms
a = 45
<em><u>Statement</u></em>
That means 52 + x = 45 and here is another negative answer. Subtract 52 from both sides
52 - 52 + x = 45 - 52 Combine like terms.
x = - 7
Answer:
500+10+0
Step-by-step explanation:
Linear pair angles have too add to 180, so
5x+9+3x+11=180
8x+20=180
8x=160
x=20
so angle S is 5*20+9 = 109
angle T is 3*20+11 = 71
Volume of the sphere is 4/3*pi*r^3
here, r is 11 yd.
volume = 4/3*pi*11^3
= 4/3*pi*1331
= 5575.28 yd^3
= 5575.3 yd^3
