Multiply both sides by 3
Simplify the numerators
Multiply both sides by 6
Simplify the numerator
Multiply both sides by x
12x - 18 = 15x Subtract 12x from both sides
-18 = 3x Divide both sides by 3
-6 = x Switch the sides to make it easier to read
x = -6
Check your answer by plugging -6 in for the x in the original problem:
Plug in -6 for x
Change
to
so all denominators are the same
Change
to
for easier work
Subtract the numerators (4 - (-1) )
=
So,
x = -6 .
Answer:
3. DC ≅ CA
4. Vertical Angles Theorem
6. CPCTC
Step-by-step explanation:
I hope this helps :)
Answer:
1. Do rise, over run
2. y2-y1 / x2-x1
Step-by-step explanation:
Answer:
1. 201.06 m
2. 1963.5 dm
3. 4536.46 mm
4. 17671.46 in
5. 254.47 cm
Step-by-step explanation:
You just have to plug these numbers into the formula for area of a circle.
Answer:
9) JK = 24.5
10) LM = 24.5
11) m∡L = 51°
12) m∡M = 129°
Step-by-step explanation:
in a parallelogram, adjacent angles are supplementary (add to 180 degrees) and are also congruent
so, ∡K = ∡M and ∡J = ∡L
since ∡'s L and M are adjacent we can add them and set them equal to 180
5z - 6 + 2z - 3 = 180
7z - 9 = 180
7z = 189
z = 27
therefore, m∡M = 5(27)-6 = 129 and m∡L = 180-129, or 51
Also in a parallelogram, opposite sides are equal; so KJ = LM and KL = JM
7x = 3x + 14
subtract 3x from each side to get:
4x = 14
x = 14/4 = 3.5
to find measure of JK, substitute 3.5 for 'x' to get (3.5)(7) = 24.5
to find measure of LM, substitute 3.5 for 'x' to get (3.5)(3)+14 = 24.5
