1547-11254+37 is simple if that’s the question you need to answer just plug it in a calculator and your answer is
-9,670
Answer:
The measure of the angle is 56.
Step-by-step explanation:
The angles correspond so they are equal. Thus, you will set 2x+38 equal to 74-2x. This gives us 4x=36, and when divided that means that x=9. So, you should then plug this into the equation for the angle. This gives us 2(9)+38 and that equals 56.
When two lines intersect,
four angles are formed. Each opposite pair are called vertical angles and are always
congruent while each angle with the angle adjacent to it is called linear pair and may not be congruent.
Properties of vertical angles includes:
i.) <span><span><span /><span>Vertical angles are always congruent, or of equal measure.
</span></span><span>
ii.) <span>Both pairs of vertical angles (four angles altogether) always sum to a full angle (360°).</span>
</span>
<span>
Properties of linear pair includes:<span>
i.) Each pair of linear angles are
supplementary (add to 180°).</span></span><span /></span>
Answer:
960 ft
Step-by-step explanation:
We need to find the surface area. To do this, let's see the shapes that are present. There are two triangles with a base and height of 9 and 12, respectively. There is one rectangle with a base and height of 24 and 15, one with base and height of 24 and 12, and finally one with a base and height of 24 and 9.
The areas are:
Triangles: 1/2bh = 1/2(9)(12) = 48 (there are two of these)
Rectangle 1: bh = (24)(15) = 360
Rectangle 2: bh = (24)(12) = 288
Rectangle 3: bh = (24)(9) = 216
Adding all these areas together, we get 960.
Thus, Monique will need 960 feet of fabric to cover the prism.
Hope this helps!
We will have a system of equations, and we are going to solve it by using substitution.
Let's make the equations.
x+y+z=2100
z+y=x
Since y and z are equal, I think it is easier for us to have them as one variable for now. Let the value of z and y be a.
These are the equations now.
x+2a=2100
2a=x
Since the second equation is giving the value of x, let it replace the value of x also in the first equation.
2a+2a=2100
4a=2100
2100÷4= 525
so, x and y equal 525. Let's put this in our original equation.
x+525+525=2100
x+ 1,050= 2,100
x= 1,050
So, x=1,050, y= 525 =z.
