Answer:
x=23°; θ=87°
Step-by-step explanation:
These two angles create what is known as supplementary angles, or 2 angles that add up to 180°. We know this because all horizontal lines are 180° on either side. Since we know the total value of these two angles should equate to 180°, we can set up a simple equation:
Now, using algebra, we can solve for x:
Plugging x back into the equation, we get:
Therefore, the total angle is equal to 87° and x is equal to 23°.
Hope this helps!
Real numbers and rational numbers
Answer:
Hence total number freshman presented are 655.
The system is relative system as there is correlation between freshman and
sophomores<em>.</em><em>( as freshman are 60 more than the Sophomores)</em>
Step-by-step explanation:
Given:
1250 total students of sophomores and freshman.
To Find:
freshman count and its type of system used.
Solution:
We have that ,
consider x be the no.of freshman and y be the sophomores
So by given condition,
x+y=1250 ,..............................Equation(1)
And other one,
x=60+y
Use above value in equation (1) we get ,
60+y+y=1250
2y=1250-60
y=595
Now number of freshman ,
x+y=1250
x=1250-595
x=655
Hence total number freshman presented are 655.
The system represent the relative proportion system.The break even and total value should include all students in university .
Relative means in relationship with one another .
As there are 60 more number of freshman than the sophomores.
Answer:
3.4028 x 10^-1
Step-by-step explanation:
First you make the 9400 into scientific notation:
9.4x10^3
Then you combine like terms
(3.62x9.4)(10^-5x10^3)
Finally you simplify
34.028x10^-2
3.4028x10^-1
Let's simplify step-by-step.<span><span><span><span>8.9x</span>−5</span>−<span>6.8x</span></span>+8</span><span>=<span><span><span><span><span><span>8.9x</span>+</span>−5</span>+</span>−<span>6.8x</span></span>+<span>8
</span></span></span>Combine Like Terms:<span>=<span><span><span><span>8.9x</span>+<span>−5</span></span>+<span>−<span>6.8x</span></span></span>+8</span></span><span>=<span><span>(<span><span>8.9x</span>+<span>−<span>6.8x</span></span></span>)</span>+<span>(<span><span>−5</span>+8</span>)</span></span></span><span>=<span><span>2.1x</span>+<span>3
The simplified answer is </span></span></span><span><span>2.1x</span>+<span>3</span></span>