Answer:
b² + c² = 47
Step-by-step explanation:
Expand (b + c)² = 61
⇒ (b + c)(b + c) = 61
⇒ b² + 2bc + c² = 61
Substitute bc = 7 into b² + 2bc + c² = 61:
b² + 2(7) + c² = 61
b² + 14 + c² = 61
To determine b² + c² simply subtract 14 from both sides of the equation:
b² + c² = 47
Answer:
Coordinate of R is (-9, -2)
Step-by-step explanation:
Given
M (-6, 4)
S (-3, 10)
Distance between M and S are x = 3 y = 6
Since M is the midpoint between RS, such that distance between RM = MS
x = -6 - 3 = - 9
y = 4 - 6 = - 2
21, 28, and 35 are multiples of 7. So you can divide each number by 7 (in other words scaling the triangle down by a scale factor of 7).
It becomes 3,4,5, which is the base Pythagorean triple.
3^2 + 4^2 = 5^2
9 + 16 = 25
These triangles can be proven congruent by using ASA RULE.
What is congruent triangles and its rules ?
When two triangles are congruent, their three sides and their three angles match precisely.
If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.
ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.
Main Body:
In ΔTUV and ΔTWV
VT =VT ----(1)
∠VTU=∠TVW -----(2)
As TUVW is a parallelogram
so, ∠T = ∠U
hence, ∠TVU =∠VTW ----(3)
taking equation 1, 2,3
therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.
to learn more about congruency click on the link below
brainly.com/question/1675117
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For a deferred payment plan no interest is accrued for the deferment period.
If $85 is made each month, then in 18 months, 18 * 85 = $1,530 must have been paid off from the balance owed.
Thus, the remaining balance after the deferment period is $2,885 - $1,530 = $1,355.
