Answer:
x=66°
Step-by-step explanation:
We know that the total angle measure in a triangle is always 180°, so first we need to find the angle value of BAC. They give us a straight line aligning with this angle and measure of 98° for the angle DAB (which is forming other part of line) and a line is 180° so we subtract and find that angle BAC is 82°.
Now that we know the angle measure of 2 angles in the triangle, we add them up and get 114°. Now we subtract this from 180° and get 66°, which is the measure of x.
Answer:
To find the point of intersection, just solve for x and y in the equations
so since x - y = -5
x = y - 5
now that we have a value of x, we will substitute x with in in the other equation
<em>5x + 3y = -9</em>
<em>5(y-5) + 3y = -9</em>
<em>5y - 25 + 3y = -9</em>
<em>8y = 16 </em>
y = 2
now use this value of y in the equation we made for x
<em>x = y - 5</em>
<em>x = 2 - 5</em>
x = -3
Hence, the point of contact is (-3 , 2)
Answer:
x=70
Step-by-step explanation:
Angle 1 will be 90° when it subtends a 180° arc. That means the sum of 100° and (x+10) must be 180°, so (x+10) = 80°.
We assume this is intended to mean ...
... (x +10)° = 80° . . . . . note the ° symbol added outside parentheses
... x +10 = 80 . . . . . divide by °
... x = 70 . . . . . . . . .subtract 10
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If the intent is (x+10°) = 80°, then x=70°.
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<em>Comment on the numbers here</em>
Units need to be properly specified in problems of this nature. <em>As written</em>, we probably should assume that 10 is <em>radians</em>, and x is a large negative number, about -8.60374 (radians), or -492.958°.
A number of radians is a "pure number." It has <em>no units</em>. The term "radians" is used to signify that the number is considered to be an angle measure.
Given:
Length of the cuboid tank = 4 m
Breadth = 2.5 m
Height = 2.4 m
One third of the tank is filled with water.
1 cubic meter = 1000 liters.
To find:
The quantity of the water in the tank.
Solution:
Volume of a cuboid is:

Where, l is length, b is breadth and h is the height.
The volume of the tank is :


Volume of tank is 24 cubic meter.
One third of the tank is filled with water. So, the volume of the water is

The volume of water is 8 cubic meters.
We have,
1 cubic meter = 1000 liters.
8 cubic meter = 8000 liters.
Therefore, the quantity of the water in the tank is 8000 liters.