Answer:
-11
Step-by-step explanation:
distribute: -8q-7=48-3q
move like terms to other sides of the equal sign: -5q=55
divide 55/-5
you get -11
Answer:
Step-by-step explanation:
sin(x)=cos(x) × tan(x)
=(-2√23)×(√24)
=(-2√23)×(2√6)
=(-4√138)
=(-4(2√(3×23)))
=(-8√69)
8. Adjacent and complementary angles are #1 & 2, since they are next to each other and added together equal 90°
9. Vertical angles are # 1 & 4, since they are opposite to each other.
10. Adjacent and supplementary angles are #4&5, since they are next to each other and add up to 180°
11. The acute angles are #1&2&4, since they are all less than 90°
12. The obtuse angles are #5&6, since they are greater than 90°
13. The angle measurements are:
1: 42°
2: 90-#1 = 90-42 = 48°
3: right angle = 90°
4: opposite #1 = 42°
5: 180-#4 = 180-42 = 138°
6. opposite #5 = 138°
btw, we cannot see the diagram for #5,6,7
Answer:
44.0 cm.
Step-by-step explanation:
The formula for the circumference of a circle is

So we can substitute 7 for r and 3.14 for pi:
cm
And since we're rounding to the nearest tenth, the answer is 44.0 cm.
Answer:
B. 
Step-by-step explanation:
The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.
This can be represented as:

Where,
h = the length of the altitude,
x and y are the lengths of the 2 segments formed.
Therefore, the length of the altitude = 


