Answer:
The first option: -5/4x + 1/6.
Step-by-step explanation:
(3/4x - 2/3) - (-5/6 + 2x)
= (3/4x - 2/3) + 5/6 - 2x
= 3/4x - 2x - 2/3 + 5/6
= 3/4x - 8/4x - 4/6 + 5/6
= -5/4x + 1/6
So, the first option: -5/4x + 1/6.
Hope this helps!
The measurement of fourth angle is: 130°
Further explanation:
Let A, B, C and D be the four angles.
m∠A=105°
m∠B=80°
m∠C=45°
We know that the sum of interior angles of a quadrilateral is 360°
So,
m∠A+m∠B+m∠C+m∠D=360°
105°+80°+45°+m∠D=360°
230°+m∠D=360°
m∠D=360°-230°
m∠D=130°
The measurement of fourth angle is: 130°
Keywords: Quadrilateral, Interior angles
Learn more about quadrilateral at:
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Answer:
hypotenuse = 17.46
Step-by-step explanation:
The Pythagorean Theorem is a^2+b^2=c^2.
Since we are finding the hypotenuse, we must plug in 16 and 7 since they represent the lengths of both side.
16^2+7^2=c^2
256+49=c^2
305=c^2
which means we have to find the square root of c^2 AND 305, round it to the nearest hundredth, which means that;
c=17.46
5x-15-2x=6
3x=21
x=7
Therefore, x must equal 7.
