Answer:
x = -5
Step-by-step explanation:
Get x by itself on the left side. To do that, subtract the 7. Do to both sides. This makes x = -5
Answer:
A security system company's total production costs depend on the number of systems produced according to the following equation: Total Costs = $10,000,000 + $2000 * quantity produced. Given these data, which of the following is a false statement? a. There are economies of scale. b. There are fixed costs associated with this business. c.
Step-by-step explanation:
Answer:
a) Triangle.
b) Triangle.
c) The area is 110 cm.
Step-by-step explanation:
The shape is given because it is a cross section of a Pyramid which we can see shaded in grey.
The area is given by the base times hight devided by 2. So 10cm * 22cm/2= 110cm.
Hope this helped ;)
Given:
Measure of arc FJ = 84°
Measure of arc GH = 76°
To find:
The measure of angle HKJ.
Solution:
The image of the question is attached below.
Angles inside the circle theorem:
If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the intercepted arc and its vertical arc.




Sum of the adjacent angles in a straight line is 180°.
⇒ m∠GKH + m∠HKJ = 180°
⇒ 80° + m∠HKJ = 180°
Subtract 80° from both sides.
⇒ 80° + m∠HKJ - 80° = 180° - 80°
⇒ m∠HKJ = 100°
The measure of ∠HKJ is 100°.
Remember you can do anything to an equation as long as you do it to both sides
8-(3+b)=b-9
remember the distributive property
a(b+c)=ab+ac
distribute that invisible -1
-(3+b)=-1(3+b)=-1(3)-1(b)=-3-b
8-3-b=b-9
add like terms
5-b=b-9
add b to both sides
5=2b-9
add 9 to both sides
14=2b
divide both sides by 2
7=b
b=7