Answer:
140cm³
Step-by-step explanation:
Credit: yaretzigutierrez50
The given terms are two terms apart, so their difference is twice the difference of adjacent terms.
The value of d is 4.
Answer:
x = 9
y = 13
Step-by-step explanation:
Side-Side-Side or SSS means that if all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are considered to be congruent (equal).
Therefore, GH = PM ⇒ 7x + 8 = 6y - 7
and, GP = HM ⇒ 8x - 10 = 5y - 3
Rewrite the first expression to make x the subject, then substitute this into the second equation, and solve for y:
GH = PM
⇒ 7x + 8 = 6y - 7
⇒ 7x = 6y - 15
⇒ x = (6/7)y - 15/7
Substituting x = (6/7)y - 15/7 into GP = HM:
GP = HM
⇒ 8x - 10 = 5y - 3
⇒ 8[(6/7)y - 15/7] - 10 = 5y - 3
⇒ (48/7)y - 120/7 - 10 = 5y - 3
⇒ (13/7)y = 169/7
⇒ y = 13
Now we have found a value for y, substitute this into one of the expressions and solve for x:
8x - 10 = 5y - 3
⇒ 8x - 10 = (5 x 13) - 3
⇒ 8x - 10 = 62
⇒ 8x = 72
⇒ x = 9
Answer:
Step-by-step explanation:
Complementary angles are 2 angles when added together = equal 90 * degrees.
The verticle angles theorem states angles opposite each other are the same degree*.
30* degrees is opposite angle 2 .
So angle 2 = 30* too
angle 2 and 3 together +equal 90* degree.
90 - 30 (angle 2) = 60*
Angle 3 is 60*
1) Diagonals of a rectangle bisect each other, so AW=13.
2) Since diagonals of a rectangle are congruent, AC=BD. Then, since diagonals of a rectangle bisect each other, DW=13.
3) Diagonals of a rectangle are congruent, so BD=26.
4) Opposite sides of a rectangle are congruent, so AD=10.
5) Using the Pythagorean theorem, BA=24.
