Answer:
(a, b, c) = (30°, 60°, 105°)
Step-by-step explanation:
Angle "a" and 30° are vertical angles, hence equal.
Angle "b" and angle "a" are complementary angles, so b = 90° -30° = 60°.
Angle "c" is supplementary to the one marked 75°, so is 180° -75° = 105°.
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Angles "a" and "b" are complementary because the sum of angles in a triangle is 180° and the third angle in that triangle is 90°. Then ...
a+b = 180°-90° = 90°
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75° and "c" are supplementary, because they are linear angles. The angle measure of a line is 180°, so that is their total measure.
Plug in any value for x and then you will get y. Use the coordinates to plot.
Example
x= 2
5/2(2)-6
5-6
-1
(2,-1)
Then continue to do the same.
Answer:
x = 7
Step-by-step explanation:
simplify 16/32
16/32 divided by 8/8=2/4
2/4 divided by 2=1/2
so
1/2 = x/14
to get to 14 from 2 you need to multiply by 7
1/2 times 2/2 = 7/14
so x = 7
Answer:
Read explain
Step-by-step explanation:
The steps taken to solve this system of equations would first be:
1. Sub 4x-2 into your first equation, 2x+5(4x-2)= 12 ->
2. Solve/simplify this equation to get x=1
3. Sub x=1 into your second equation and solve for y = 2
4. Get the solution (1,2)
9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.
11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.
Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.
8x + 2 + 9x + 3 = 90
17x + 5 = 90
17x = 85
x = 5
