Answer:
Step-by-step explanation:
1). segment AB ≅ segment AE ......... 1). Given
2). ΔBAE is isosceles .............. 2). Definition of isosceles Δs
3). ∠ABC ≅ ∠AEB ............. 3). Corollary to isosceles Δs theorem
4). segment BG ≅ segment EF ........ 4). Definition of midpoints
5). segment BC ≅ segment ED ......... 5) Given
6). segment CD ≅ segment DC ....... 6). Reflexive property
7). segment BD ≅ segment EC ........ 7). Property of sum of equals parts
8). ΔBGD ≅ Δ EFC ............... 8). SAS postulate
9). ∠1 ≅ ∠2 ............ 9). Corresponding parts of congruent Δs
10). ΔCHD is isosceles ............ 10). Corollary to isosceles Δs theorem
Answer:
x = -2 or x = 1/3 thus: B & C
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + 7 x - 2 = 2 x - x^2
Subtract 2 x - x^2 from both sides:
3 x^2 + 5 x - 2 = 0
The left hand side factors into a product with two terms:
(x + 2) (3 x - 1) = 0
Split into two equations:
x + 2 = 0 or 3 x - 1 = 0
Subtract 2 from both sides:
x = -2 or 3 x - 1 = 0
Add 1 to both sides:
x = -2 or 3 x = 1
Divide both sides by 3:
Answer: x = -2 or x = 1/3
Answer:
m∠M = 79°
m∠N = 66°
Step-by-step explanation:
∠MPN is supplementary to ∠MPQ, so m∠MPN = 35
The sum of the measures of a triangle is 180.
So, m∠M + m∠N + m∠MPN = 180
5y + 4 + 4y + 6 + 35 = 180
9y + 45 = 180
9y = 135
y = 15
m∠M = 5y + 4 = 5(15) + 4 = 75 + 4 = 79
m∠N = 4y + 6 = 4(15) + 6 = 66
Another way to do this problem, which is easier, is to know that an exterior angle of a triangle is equal to the sum of the two remote interior angles.
That means 5y + 4 + 4y + 6 = 145
9y + 10 = 145
9y = 135
y = 15
From knowing the value of y you can now find the measures of angles M and N
Answer:
Natural numbers are the counting numbers, meaning that they make up the set {1,2,3,4,5,...} So , 4/5 is belong to natural number
Answer:
3.50x= t
Step-by-step explanation:
x square feet of teh floor
t= total cost
