Answer:
slope: 4
Y-intercept: -7
Step-by-step explanation:
you would have to solve for y so you subtract the 7 on both sides. then it is in slope-intercept form which is y=mx+b where m is slope and b is the y-intercept. the slope would be 4 and the y-intercept would be -7
Move the 8 over
-x=3x-8
Move the 3x over
-x-3x=8
-4x=8
Divide by -4
x=-2
Answer:
See below.
Step-by-step explanation:
7.)
Supplementary angles add up to 180°. ∠B's supplement is 22°. This means ∠B is 158°. Since ∠A ≅ ∠B, the m∠A = 158°.
8.)
Again, supplementary angles add up to 180°. ∠P is a right angle meaning it is 90°. Therefore, the m∠Q is 90° as well.
9.)
Complementary angles add up to 90°. In order for ∠S and ∠T to be complementary, they both need to angle measurements less than 90° meaning they both need to be acute angles.
Now that we know that ∠T is acute, the only way ∠U can be its supplement is if it has an angle measure greater than 90°. Therefore, ∠U is an obtuse angle.
10.)
Similar to question 9, if an angle is obtuse, its supplement must be an acute angle.
The perimeter of a square is the sum of its four sides since the side length is given to us as 10 meters the perimeter is 40 meters
circumference of a circle is given by the two formulas C equals Pi D or C equals 2 pi r numbers 2 and 3
Since each odd (or even) is two greater than the previous number, two consecutive such numbers are n and n+2.
The we are told that the sum of two such number is 100, so we can say:
n+n+2=100 combining like terms on the left side you get:
2n+2=100
....
to solve, if you were interested...subtract 2 from both sides
2n=98 divide both sides by 2
n=49
So the two odd numbers are 49 and 51