Answer:
m<B is 48°
Step-by-step explanation:
m<C is already 90°
m<A is 42°
42+90+x=180
132+x=180
x=48°
Question 1:
The labeled points are points from the drawing are:
A,B,C,D,E
Question 2:
The intersection of the two lines is a point since the necessary condition for the two lines to intersect is that they should be on the same plane, hence they form a point.
Thus the correct answer is: True
Question 3:
The name for a given line is given from the end points that forms the line. Hence given that the two points forming the line is B and P, the correct answer is option C]
Question 4:
There are 5 letters and you use 2 to name the line, so the number of choices will be given by:
5C2=5!/(2!(5-2)!)
=(5×4×3×2×1)/(2×1×3×2×1)
=10
Question 5:
Collinear points are three or more points which lie on the same single straight line. In our case the points are:
T,X,V
Answer: the cost of a tent is $45
the cost of a sleeping bag is $35
the cost of a camp stool is $5
Step-by-step explanation:
Let x represent the cost of a tent.
Let y represent the cost of a sleeping bag.
Let z represent the cost of a camp stool.
A customer buys a tent, 3 sleeping bags, and 4 camp stools for $170. It means that
x + 3y + 4z = 170- - - - - - - - - - - - - - -1
The price of the tent is 9 times the cost of a camp stool. It means that
x = 9z
The cost of a sleeping bag is $30 more than the cost of a camp stool. It means that
y = z + 30
Substituting x = 9z and y = z + 30 into equation 1, it becomes
9z + 3(z + 30) + 4z = 170
9z + 3z + 90 + 4z = 170
9z + 3z + 4z = 170 - 90
16z = 80
z = 80/16
z = 5
y = z + 30 = 5 + 30
y = 35
x = 9z = 9 × 5
x = 45
Answer:
9x + 8 ?
Step-by-step explanation: